Can someone help me?

Can Someone Help Me?

Answers

Answer 1

Answer:

(i) [tex]y = 2x(x-5)[/tex]

(ii)  zeros:  x = 0 and x = 5

axis of symmetry:  x = 2.5

(iii)  vertex:  (2.5, -12.5)

(iv) see attached

Step-by-step explanation:

Part (i)

Factor:  [tex]y=2x^2-10x[/tex]

Factor out the common term [tex]2x[/tex]:

[tex]\implies y=2x(x-5)[/tex]

Part (ii)

Zeros occur when [tex]y=0[/tex]

[tex]\implies 2x(x-5)=0[/tex]

Therefore:

[tex]\implies 2x=0 \implies x=0[/tex]

[tex]\implies (x-5)=0 \implies x=5[/tex]

So the zeros are x = 0 and x = 5

The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.

[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]

Therefore, the axis of symmetry is [tex]x=2.5[/tex]

Part (iii)

The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.

[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]

So the vertex is (2.5, -12.5)

Part (iv)

Plot the zeros and the vertex.

As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.

Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.

*see attached*

Can Someone Help Me?

Related Questions

5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)

Answers

Answer:

Step-by-step explanation:

hello :

dy/dx = 3y sin x    means : (1/3) dy/y =sinx dx.....continu  integ

Question 11
1 pts
A baby was 6 lb 8 oz at birth. At one month old, she weighed 9 lb 2 oz. How much weight did the
baby gain in the first month?

Answers

Answer:

2 lb and 4oz

Step-by-step explanation:

because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz

Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.

Answers

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?

Answers

Answer: 1680

Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.

which statement about the transformation is true? A. the unshaded octagon is a reflection because it is a flip over a diagonal line B. the unshaded octagon is a dilation because it is smaller than the shaded octagon C. the unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon D. the unshaded octagon is a vertical translation because it is directly under the shaded octagon

Answers

A)

If you draw a diagonal line going down and crossing the origin, you can see that the figure reflects over that line. It’s like a mirror.
It is not the case for horizontal reflection because then it had to be reflected to the left of y-axis and it is not vertical reflection because then it would reflect below the x-axis

Help my 9 year old sister please

Answers

He got that because he multiplied 28 by 7

Answer:

He multiplied 28 by 7 instead of dividing it.

28 times 7 equals 196.

Step-by-step explanation:

I hope this helps! Have a lovely day!!! :)

(3x10^-4)(5x10^8) in scientific notation

Answers

Answer:

[tex]15 \times {10}^{4} [/tex]

Step-by-step explanation:

[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]

Find the area of the shape.

Answers

I hope I can help you:)

Select the two values of x that are roots of this equation.
x² + 34-3=0
. A. X=
-3+2/3
2
B. X=
-3-3
N
I X =
C. x.-3+27
=
1/21
2
O
D. *= -3-V21
=
2

Answers

Answer:

A. x=3 2.3

B . x=8

C. x=i do not know.

D. x=26

Step-by-step explanation:

A. -3+2/3=2

-3+2/3=-2 1/3

-2 1/3+3 2/3.=2

B. -3-3n=1

-3-3=-6n

-6n+8=1

C i do not understand.

D. -3-v21=2

21√5

Decimal Form:

1.0796532

or -24=2

-24+26=2

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
a = and b =

Answers

The value of a is equal to 3 and the value of b  is equal to 4.

Complex Number

A Complex Number is represented by z=a+bi, where:

a= real part

bi= imaginary number

b= imaginary part

i= [tex]\sqrt{-1}[/tex], therefore i²= -1

For solving this question, you should solve the product (-11 + 5i) * (1 – i). After that, you should compare the previous results with the result for expression ( (a + bi)* (2 + 3i) )-i. From this comparison, using the linear system you will find the variables a and b.

Step 1 - Solve the product (-11 + 5i) * (1 – i)

        (-11 + 5i) * (1 – i)=

        -11 +11i +5i -5i²

        -11 +16i -5i², as i²= -1 you can rewrite

        -11 +16i -5(-1)

        -11 +16i +5

         -6+16i

Then,

(-11 + 5i) * (1 – i)=  -6+16i

Step 2 - Simplify the expression ( (a + bi)* (2 + 3i) )-i

      ( (a + bi)* (2 + 3i) )-i

      (2a+3ai +2bi +3bi²) -i, as i²= -1 you can rewrite

      (2a+3ai +2bi +3b(-1)) -i

      (2a+3ai +2bi -3b) -i

     ( (2a-3b) + i(3a +2b) ) -i ,

For adding complex numbers, you must add or subtract the corresponding real and imaginary parts. Thus, you will have:

       (2a-3b) + i(3a +2b-1)

Then,

( (a + bi)* (2 + 3i) )-i=  (2a-3b) + i(3a +2b-1)

Step 3 - Identify real and imaginary parts for previous results

         

         For  (-11 + 5i) * (1 – i)=  -6+16i

                   real part = -6

                    imaginary part = 16

          For   ( (a + bi)* (2 + 3i) )-i=  (2a-3b) + i(3a +2b-1)

                   real part = 2a-3b

                    imaginary part = 3a +2b-1

Step 4 - Construct a linear system from real and imaginary parts

                       2a-3b= -6

                       3a +2b-1=16, you can rewrite as 3a +2b=17.

Thus the system will be:

                             [tex]\begin{bmatrix}2a-3b=-6\\ 3a+2b=17\end{bmatrix}[/tex]

                   

Step 5 - Solving the linear system

      2a-3b=-6    (1)

      3a+2b=17  (2)

     Multiplying equation 1 by 2 and equation 2 by 3, you can rewrite as:

      4a-6b= -12

      9a+6b=51  

    Sum the equations

     4a-6b+9a+6b= -12 +51

     13a= 39

        a=39/13=3

       

     Replacing the value of a=3 in equation 1, you can find b.

      2a-3b=-6    (1)

     2*3-3b= -6

     6 -3b = -6

        -3b = -6 -6

        -3b= -12

            b= -12/-3 = 4

Read more about complex numbers here:

https://brainly.com/question/5564133

find out 6c+4dc when c=4.5 and d=6.6
show how to do it step by step​

Answers

Answer:

145.8

Step-by-step explanation:

6c+4dc, where c=4.5 d=6.6

6(4.5) + 4(6.6) (4.5)

27 + 118.8

=145.8

At a concession stand, five hot dog(s) and four hamburger(s) cost $15.25, four hot dog(s) and five hamburger(s) cost $16.25. Find the cost of one hot dog and the cost of one hamburger

Answers

Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

~lenvy~

What is the answer?

Answers

[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]

Multiply and divide rational expressions and simplify the answer

Answers

Answer:

1. 32x/15

2. 2/x-4

3. 1/10x+10

4. 3x^6/5x^9

5. (x-3)(x-9)/6

6. x^2/3

Step-by-step explanation:

multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.

a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?

PLEASE ANSWER THIS. I have an assignment due soon :((

Answers

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

= -29 + 19(14) = -29 + 266 = $237

John's water bill this month was $19.67 . Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?

Answers

Answer:

0.001967 per gallon

Step-by-step explanation:

19.67/10000 = 0.001967

Nine is 2% of what number?​

Answers

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

Tori made a scale drawing of an Italian
restaurant. The restaurant's kitchen is 2
millimeters long in the drawing. The actual
kitchen is 16 meters long. What scale did Tori
use for the drawing?
1 millimeter :
meters

Answers

Step-by-step explanation:

2mm : 16m

so to get 1mm you need to divide 16 by 2

16/2 is 8 therefore

1mm : 8m

1 millimeter represents 8 meters in real life

hope that helps :)

Please factorise 14cd – 7c

Answers

Answer:

7c (2d - 1)

Step-by-step explanation:

Common factorization

Answer:

[tex]\bold{ 7c(2d - 1)}[/tex]

Step-by-step explanation:

[tex]\sf \rightarrow 14cd - 7(c)[/tex]

take 7(c) as common factor

[tex]\sf \rightarrow 7c(2d - 1)[/tex]

factorised

[tex]\sf 7 c(2d - 1)[/tex]

how do you simplify (y+z)^3

Answers

Answer: y3+3y2z+3yz2+z3

Step-by-step explanation:

(y+z)3

=(y+z)*(y+z)*(y+z)

=(y+z)(y2+2yz+z2)

=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)

=y3+2y2z+yz2+y2z+2yz2+z3

=y3+3y2z+3yz2+z3

A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?​

Answers

Answer:

12.0

Step-by-step explanation:

we solve using the pythagorean theorem.

sqrt of (12.5^2 - 3.5^2)

answer is 12

rounded of to the nearest tenth is 12.0

A store sold 200 cell phone covers in April. The circle graph shows the
percent of each color sold in that month. How many more black covers
were sold than blue covers?

Answers

Answer:

24

Step-by-step explanation:

Given

Total is 200

From the attachment, we have:

Required

Black- 35%

Blue-23%

How many more of black than blue were sold

First, calculate the difference in percentage sold

Multiply by the total phones sold;

Hence, 24 more blacks were sold than blue

Hope this helps

Brainliest appreciated :)

Answer:

The answer is 24

Step-by-step explanation:

The total amount of phone covers were 200.

35% of those were black.  So, 200 x 35% (or 200 x .35) = 70.  

70 of the phone covers sold were black.

23% of the covers were blue.  So, 200 x 23% (or 200 x .23) = 46

46 of the phone covers sold were blue.

How many more black covers sold than blue covers means we subtract.

70 black covers - 46 blue covers = 24 more black covers sold.

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2

Find all values of t which the balls height is 23 feet.

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Given function

h = 3 + 44t - 16t²

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0

Solving for 't' using quadratic formula

t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8

Solutions

t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 seconds

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

t = 2.175 s (3 dp)t = 0.575 s (3 dp)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?

X=_____

Answers

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Opposite = 65Adjacent = 72Hypotenuse = x

Definition:

Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.

To find:

Value of x

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

a = oppositeb = adjacentc = hypotenuse

Note:

a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

FIND THE VALUES OF X AND Z FOR BRAINLIEST! :)))

Answers

Answer:

x = 20

z = 87

Step-by-step explanation:

Suplementary angles:

9x - 87 + 87 = 180

9x = 180

x = 20

Vertical angles:

z = 87

Answer:

z=87    x=20

Step-by-step explanation:

z=87 because vertical angles are congruent

87x2=174

360-84 =186

186/2=93    (the other 2  vertical angles are 93 each)

9x-87 =93

9x=180

x=20

How many different ways can the letters of grade be arranged?
( I have to use permutation to solve please and thank you )

Answers

Answer:  120 different ways

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

GRADEIt has five letters

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

120 ways

A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?

Answers

Answer:

157 if youre going by 3.14

157.08 if youre going by π

Step-by-step explanation:

you want to find the circumference

circumference is 2πr

the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle

2 * 3.141 * 25 = 157

The length of the path that goes around the outside of the circle stands at 157.08 meters.

What is a circle?

A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.

Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.

Now, the perimeter of the circle exists the length of the path that goes around the outside.

Thus, the perimeter of the circle stands,

Perimeter = π × Diameter

        = π × 50 meters

        = 157.07963 meters ≈ 157.08 meters

Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.

To learn more about the circle

https://brainly.com/question/23580895

#SPJ2

Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).

Answers

Point-Slope Form

Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the line

To write an equation in point-slope form:

Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]

Solving the Question

We're given:

The line passes through the points (f,g) and (h,j)

Solve for the slope (m):

[tex]y-y_1=m(x-x_1)[/tex]

⇒ Plug in the point (f,g) as (x,y):

[tex]g-y_1=m(f-x_1)[/tex]

⇒ Plug in the point (h,j) as (x₁,y₁):

[tex]g-j=m(f-h)[/tex]

⇒ Isolate m by dividing both sides by (f-h):

[tex]\dfrac{g-j}{f-h}=m[/tex]

Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].

Plug the slope into the general equation:

[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]

Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Answer

There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.

Answers

Answer:

<(6/√85),(7/√85>

Step-by-step explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>

Other Questions
Pat can drive 36 kilometers for every 3 liters of gas they put in their car.Complete the table using equivalent ratios.KilometersLiters36348132 why have the players gone to the closed camp? 8. Which of the following concepts about slavery in the Americas is true?A. It grew less cruel over time.B. It came to be based on race.C. It grew without violence.D. It was replaced by indentured servitude. Tianna waited until she was 15 before her mother allowed her to ride the subway to get to school.What is the meaning of the word subway?A. over the wayB. with the wayC. against the wayD. below the way Select the correct answer.Civil rights and equality have played a major role in American history. People have been fighting for rights based on gender, ethnicity, race, andother attributes for centuries. In what way did the Quakers participate in the early fight for human rights?OA They established fair labor laws and mandated fair wages to all levels of workers.OB. They created a set of laws that prohibited any form of discrimination.OC. They allowed Catholics to seek refuge among their communities.D. They did not believe in the institution of slavery based on moral principles.ResetNext do artist and writers have a responsibility to be historically accurate and inclusive of all stories when writing historical fiction? cacoH2+2NH4Cl-cacl2+2H2O+HN3A. how many grame of cacl2 will be formed from the of A20gm of cacoH2B 40gm of NH4Cl The national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for orlando, fl is $308.83, what would be the cost of a typical orlando electric bill and how would that compare with the national average? a. the typical orlando electric bill would be $138.66, which would be $17.21 more than the national average. b. the typical orlando electric bill would be $121.54, which would be $17.21 less than the national average. c. the typical orlando electric bill would be $138.66, which would be $76.64 more than the national average. d. the typical orlando electric bill would be $121.54, which would be $76.64 less than the national average. Help me please-math- 2.Absolutely chicken and spaghetti are children 's all time favorite __________ was one of the manifestations of nationalism that troubled the Austrian Empire and contributed to competition and friction between Austria and Russia. Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment | -2 | + | 4 |What is the absolute value HELPP A spinner is divided into five colored sections that are not of equal size: red, blue,green, yellow, and purple. The spinner is spun several times, and the results arerecorded below:Spinner ResultsColor Frequency76RedBlueGreenYellowPurple121919Based on these results, express the probability that the next spin will land on blue asa fraction in simplest form. Convert the function from vertex form to standard form. -1/2(x + 2)^2 - 3 What is the value of x?Enter your answer in the box. 45 points!x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1pls i need help now! A puppy weighs534pounds.how many ounces does the puppy weigh?a.23 ozb.46 ozc.92 ozds.184 oz 70 pts if your correct. ROUND YOUR ANSWER. A Walk in the Park Micky and her dad decided to spend the first warm day of spring at the park that was adjacent to a lake. The sun shone down on the water, the waves winking at Micky and her dad as they made their way along the cement path. Phil, Micky's dad, was excited about the upcoming trip the family had planned to visit friends in another state. He shared his enthusiasm with Micky, but she did not share in his joy about visiting friends. She was more interested in visiting the music museums in the town where they would be staying. However, she smiled and told her father that she was looking forward to catching up with their friends.1Based on the text, how does Phil feel about Micky's reaction regarding the family's trip?A. Phil is indifferent to Micky's reaction to the family's trip.B. Phil is happy with Micky's reaction to the family's trip.C. Phil's reaction cannot be determined by the text.D. Phil is disappointed with Micky's reaction to the family's trip.