Write a system of inequalities using the given graph

Write A System Of Inequalities Using The Given Graph

Answers

Answer 1

For dark line

(0,1)(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5xy=5x+1

Put (0,0)

0<1

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)(0,-2)

Equation in intercept form

x/2-y/2=1x-y=2y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

Related Questions

50 points Select the correct answer

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answers

Answer:The answer is A: b^4/a

Step-by-step explanation:now i dont rly have an explaination but i got this in my test so ik its right!

100% verrified!

I need some help on this question please

Answers

Answer:

D

Step-by-step explanation:

everything that should happen at x+4 happens now at x. that is what that means.

so, the graph shifts 4 units to the left.

What is the simplified value of the exponential expression 16 Superscript one-fourth?



2
4

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex] {16}^{ \frac{1}{4} } \: is \: the \: same \: as \\ \\ \sqrt[4]{16} = \sqrt[4]{ {4}^{2} } [/tex]

Note we broke down the 16 into 4 squared*. This is because 4 squared is the same as 16. The four and the two would cancel each other leaving:

[tex] \sqrt[2]{4} \;\\ or \\ \: \sqrt [2]{{2}^{2}} [/tex]

Like before the two and the two would cancel each other out leaving:

[tex]2[/tex]

Answer:

C. 2

Step-by-step explanation:

edge

Cookie jar contains 6 vanilla cookies, 4 chocolate cookies, and 9 lemon cookies.
one cookie is randomly picked from the jar.
find p (a vanilla cookie) =

p (a chocolate or lemon cookie) =

p (not a lemon cookie) =

p (a vanilla or chocolate or lemon) =

p (a peanut butter cookie) =

Answers

p (a vanilla cookie) = 6/19

p (a chocolate or lemon cookie) = 13/19

p (not a lemon cookie) = 10/19

p (a vanilla or chocolate or lemon) = 10/19

p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]

If you can simplify the fractions, then simplify

x: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
I'm leaning towards A but don't want totake the risk with a hour detention on the line if I get it wrong ​

Answers

The answer should be A. For example, if x = 1, and the ratio between x and y is y is 5 times greater than x, then y would equal 5, which is only true in A.

Or, use the number 5 as an example. If x = 5, and the ratio between x and y is y is 5 times greater than x, then y is 5.

And if you put that into A, y = 5x, it becomes 25 = 5(5)
Then 25 = 25, which is true!

Does anybody want to help with math?
2a(-5a^8b+a^2-12ab)
Ty :D

Answers

Answer: 18a4 - 6a3b - 5a2b4 - 45a2b2 + 36ab2 - 12ab + 3b

———————————————————————————————-

3

Step-by-step explanation:

On a recent math test, Carlos had to find the volume of the rectangular prism below. He gave the answer of 60 in3, which was marked incorrect. Help Carlos understand how to correctly find the volume of the prism.
A cube that is eight inches in length, ten inches in width, and six inches in height.

Answers

Answer:

480 in

Step-by-step explanation:

Rectangular Prism Formula :

V=whl

Which,

W = Width

H = Height

L = Length

Solve:

Given that:

Length = 8 in

Width = 10 in

Height = 6 in

Since the formula is:

V = whl

Then,

V = 8 × 10 × 6

V = 80 × 6

V = 480 in

Kavinsky

Please help me find the answer to this problem.

Answers

Answer:

numerator - is 2, 15, 18, 6

denominator - is 12, 14, 33, 8, 64

Step-by-step explanation:

2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32

100 POINTS I WILL MARK BRAINLIST
Solve this equation using the method of completing the square:

3x^2 + 24x - 24 = 0

Potential answers:
x = -2 +/- 4sqrt6
x = 4 +/- 2sqrt6
x = 2 +/- 4sqrt6
x = -4 +/- 2sqrt6

Answers

Answer:

[tex]\boxed{\sf x = -4 \pm 2\sqrt{6} }[/tex]

Explanation:

3x² + 24x - 24 = 0

factor the coefficient

3(x² + 8x) -24 = 0

Halve the second term and square it

3(x + 4)² -24 -3(4)² = 0

simplify the answer

3(x + 4)² -72 = 0

add 72 on both sides

3(x + 4)² = 72

divide both sides by 3

(x + 4)² = 24

square root both sides

x + 4 = ±√24

subtract both sides by 4

x = -4 ± 2√6

Answer:

[tex]x=-4\pm2\sqrt{6}[/tex]

Step-by-step explanation:

Completing the square for quadratic in the form  [tex]ax^2+bx+c=0[/tex]

Given equation:

[tex]3x^2+24x-24=0[/tex]

Factor out 3:

[tex]\implies 3(x^2+8x-8)=0[/tex]

Divide both sides by 3:

[tex]\implies x^2+8x-8=0[/tex]

Add 8 to both sides:

[tex]\implies x^2+8x=8[/tex]

[tex]\textsf{Add }\: \left(\dfrac{b}{2}\right)^2\: \textsf{ to both sides}:[/tex]

[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2=8+\left(\dfrac{8}{2}\right)^2[/tex]

[tex]\implies x^2+8x+16=8+16[/tex]

[tex]\implies x^2+8x+16=24[/tex]

Factor the left side:

[tex]\implies (x+4)^2=24[/tex]

Square root both sides:

[tex]\implies x+4=\pm2\sqrt{6}[/tex]

Subtract 4 from both sides:

[tex]\implies x=-4\pm2\sqrt{6}[/tex]

Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?

(please put you solution)

Answers

Answer:

4 19/36

Step-by-step explanation:

we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.

 =>     10 2/9 + 5 1/4

          As   a c/d    is     a + c/d,

          10 2/9 + 5 1/4 can also be written as  10+5+2/9+1/4

     

           now  we have to simplify it

 =>      10+5 = 15  

 =>      2/9 =  (2*4)/9*4)  =  8/36,    1/4  =  (1*9)/(4*9)  =  9/36

           now we have the same denominators

           add,

           8/36 + 9/36  =  (8+9)/36    =      17/36

 

 =>      now we know that 10 2/9 +  5 1/4  is  15 17/36 (  which is 15 + 17/36)

           

 =>      next step is to convert 15 17/36 into an improper fraction

           15 17/36  =     [(15*36)+17]/36     =     [540+17]/36    =   557/36

           

 =>       now we just have to subtract  557/26 from 20

            20 -  557/36  =   [(20*36)-557]/36   =    [720-557]/36   =    163/36

         

 =>   we can convert 163/36 into a mixed fraction if we want to  

        163/36 converted into mixed fraction is 4 19/36

        hope this helps :)

A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.

Answers

Answer:

$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

seams very unrealistic lol

Answer:$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

Find the magnitude of the sum of the vectors <4,5> and <-2,2>. Round your answer to the nearest 100th.

Answers

Answer:

[tex]||v||\approx7.28[/tex]

Step-by-step explanation:

Sum of the vectors

[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]

Magnitude of the resultant vector

[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]

The measures of the angles of a triangle are shown in the figure below solve for X

Answers

Answer:

36

Step-by-step explanation:

We know all angles in a triangle must add up to 180°

The square in the triangle that angle is equal to 90°

We can now solve for x

90 + 54 + x = 180

144 + x = 180

x = 36

That is your answer

- Kan Academy Advance

What is the sum of the two
expressions?

(4/5x+13) - (5/8x − 6)

Answers

Answer: 7/40x + 19

Step-by-step explanation:

---Distribute the negative sign

4/5x + 13 - 5/8x + 6

---Get common denominators on the fractions

32/40x + 13 - 25/40x + 6

---Combine like terms

(32/40x - 25/40x) + (13 + 6)

7/40x + 19

Answer: 7/40x + 19

Hope this helps!

which postulate or theorem proves that these two triangles are congruent?

a. ASA Congruence Postulate
b. SAS Congruence Postulate
c. AAS Congruence Theorem
d. HL Congruence Theorem

Answers

b i hood this helps !!!!!!!!!!!!!!

please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)

What is the average rate of change?

Answers

Answer:

-3

Step-by-step explanation:

Formula for average rate of change :

A(x) = f(a) - f(b) / a - b

Solving :

A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3

Find the equation of a line that passes through the point (2,4) and has a gradient of 1/3 . leave your answer in the form y = m x + c

Answers

Answer:

y = mx + b

y = 1/3x + b

Use (2,4) to find b

4 = 1/3(2) + b

b = 4 - 2/3

b = 12 - 2

3

b = 10/3

The equation will be:

The equation will be: y = 1/3x + 10/3

The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time

Answers

The lowest common multiple of 25 and 20 is 100
The next time the buses leave at the same time is 100 minutes after 7 am which is 8:40 am

The time at which the buses will leave at the same time is 8:40 am.

What is a factor?

A factor is a number that divides another number, leaving no remainder

Example: 3 x 2 = 6

2 is a factor of 3.

We have,

Buses:

X leaves every 25 minutes.

Y leaves every 20 minutes.

We need to find the least common multiples of 25 and 20.

25 x 4 = 100

20 x 5 = 100

100 is our least common multiple of 25 and 20.

We see that,

4 is a factor of 24 which gives 100.

This means after 4 times, bus X will leave with bus Y at the same time.

5 is a factor of 20 which gives 100.

This means after 5 times, bus Y will leave with bus X at the same time.

The first buses to X and Y leave a bus station at 7 am.

After 100 minutes, buses X and Y will leave at the same time.

= 7am + 100 minutes

= 7 + 60 minutes + 40 minutes

= 7 + 1 hour + 40 minutes

= 8:40 am

Thus,

The time at which the buses will leave at the same time is 8:40 am.

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Use formulas to find the lateral area and surface area of the given prism. Round your answer to
the nearest whole number. The figure is not drawn to scale. The bases are right triangles.
8.94 m
4m
8m
41 m

Answers

Answer:

The answer is option B

[tex]859[/tex] [tex]m^2[/tex] [tex],[/tex] [tex]891[/tex] [tex]m^2[/tex]

Step-by-step explanation:

Step 1

Find the lateral area

we know that

The formula to calculate the lateral area is equal to

[tex]LA=Ph[/tex]

where

P is the perimeter of the base of the prism

h is the height of the prism

In this problem we have

[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]

[tex]h=41[/tex] [tex]m[/tex]

substitute in the formula

[tex]LA=20.94*41=858.54[/tex] [tex]m^2[/tex]

[tex]LA=859[/tex] [tex]m^2[/tex]

Step 2

Find the surface area

we know that

The formula to calculate the surface area is equal to

[tex]SA=2B+Ph[/tex]

where

B is the area of the base of the prism

P is the perimeter of the base of the prism

h is the height of the prism

In this problem we have

[tex]B=8*4/4=8[/tex] [tex]m^2[/tex]

[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]

[tex]h=41[/tex] [tex]m[/tex]

substitute in the formula

[tex]SA=4(8)+20.94*41=890.54[/tex] [tex]m^2[/tex]

[tex]SA=891[/tex] [tex]m^2[/tex]

Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

Answer:

8 miles a day

Step-by-step explanation:

First you have to subtract the amount of miles she had already gone.

60 - 12 = 48

Next you have to divide by the remaining amount of days (6 days).

48/6 = 8

solve the inequality 9.5+6x>=42.1

Answers

Answer:

x >/= 8.6

Add 9.5 to 42.1 then divide by 6

Step-by-step explanation:

PLS HELP! What is the linear function rule for this table?

Answers

Answer:

f(x) = 4x + 6

Step-by-step explanation:

Using f(x) = 4x + 6

lets find some answers

lets take x as (-2)

f(-2) = 4(-2) + 6

f(-2) = -8 + 6

= -2

Also, take x as (-1)

f(-1) = 4(-1) + 6

f(-1) = -4 + 6

= 2

In circle H with m/GHJ = 82 and GH = 12 units, find the length of arc GJ.
Round to the nearest hundredth.
H

Answers

The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have angle GHJ = 82 units

Length of GH = 12 units

We know:

s = 2πr(θ/360)

s = (2π)12(82/360)

s = 17.17 units

Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

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Rewrite the radical expression as an exponential expression, and then simplify.

StartRoot 121 EndRoot = one-half (121) = 60.5
StartRoot 121 EndRoot = 121 squared = 14,641
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 11
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 60.5

Answers

The radical expression written as an exponent, and simplified, is given by:

[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].

How to transform an exponent to a power?

It happens according to the following rule:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

The inverse is also valid, hence, in this problem, the expression written as an exponent and simplified is given by:

[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].

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Which of these tables does NOT represent a function?

Answers

The answer is going to be D

help for 10 points that is all i have

Answers

Answer:

22 in. and o.5 ft i think so

HELPPPP WITH MATH HOMEWORK PLS

Answers

Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

write 8.31752 to correct 3 decimal places

Answers

Answer:

8.318

Step-by-step explanation:

writing a number in three decimal places means writing the number in a way that there will be three digits in the number after the decimal point.

to three decimal places= 8.318

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions. ​

Answers

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

There are 6 copies of "7"There are 5 copies of "8"There are 4 copies of "9"There are 3 copies of "10"There are 2 copies of "11"There is 1 copy of "12"

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

We have

3 copies of "4"5 copies of "8"1 copy of "12"

This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

You are in business and have a product that sells for $10 that 1,000 people buy each month You want to make a profit and wonder whether you should raise the price in increments of a dollar For each dollar you raise the price , you lose 100 customersHow many dollars can you increase in price to maximize your profit or should you increase in price at all?

Answers

No, you shouldn’t increase in price your profit will only get lower if you increase the price

Based on the attached photo and explanation below, the price should not be increased at all.

How to know when profit is maximized?

Note: See the attached photo for the calculation of Revenues at Different Number of Customers and Prices.

Every other being equal, profit is maximized when revenue is at the maximum,

From the attached photo, it can be seen that revenue is at the maximum or the highest when the price is $10 and the number of customers is 1,000.

Increasing the price in increments of a dollar results in a fall in revenue progressively until it reaches $0.

Therefore, the price should not be increased at all.

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