Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.

both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.

both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.

both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.

both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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Work Shown:

x = original price in dollars

x - 60% of x = x - 0.60x = 0.40x = sale price in dollars

0.40x = 152

x = 152/0.40

x = 380

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

Answer:

Find the first and second derivatives:

[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]

To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:

[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]

To determine the type of stationary points, input the found values of x into the second derivative.

[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]

[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]

Finally, to find the y-values of the stationary points, input the found values of x into the original function:

[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]

[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]

Therefore:

[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]

Answer:

-6.4 degrees.

Step-by-step explanation:

The average temperature

= (-12 -8 -3  + 6 - 15) / 5

= -32/5

= -6.4 degrees.

The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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Answer: C)

Step-by-step explanation:

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

Answer:

The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought


Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.






For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.

Slope = gradient = rise / run = vertical distance / horizontal distance.

Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.

Slope of  the side view of ramp B = rise / run = 14 / 21 = 2/3.

The slope of A = slope of B = 2/3

The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.

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Answer:

97.5

Step-by-step explanation:

75,85,90,105,120,150

90 and 105 are the middle, and median means the middle, but you can only have one answer.

90+105=195

195÷2=97.5

97.5 is the middle of all these numbers

A Line graph

Sure hope this helps you

Answer: A - (5.196, -3)

Step-by-step explanation: correct on ed

Answer:

7 7^10

1 5^9

yan po yung sagot

sana makatulong

Step-by-step explanation:

the thing you need to do here is put the value of x and just simply the expression.....

= 3y + 78 + 6y + 13

= 3 × 3 + 78 + 6 × 3 + 13

= 9 + 78 + 18 + 13

= 118

[tex]....[/tex]

Answer:

3×3+78+6×3÷13

9+78+18÷13

88.38

Step-by-step explanation:

i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

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Answer:V≈3.29×105in³

Step-by-step explanation:im smart

Answer:

can i please have somepoints

Step-by-step explanation:

i need to get an answer to a question and if i don't i might fail a really hard test

Answer:

19/29 probability of bieng an only child

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.

10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.

50/18 becomes 25/9, or 2 7/9.

The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5

The series is given as:

0.5+ (-1) +2+...

The above series is a geometric series, with the following parameters:

The sum of the first 14 terms is calculated using:

[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]

So, we have:

[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]

Evaluate

[tex]S_{14}= -2730.5[/tex]

Hence, the sum of the series is -2730.5

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Answer:

slope = 1

y intercept = (0,8)

Step-by-step explanation:

the equation y = x + 8 is put in y = mx + b form

where m = slope and b = y intercept

in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)

Answer:

m = 1 and b = 8

Step-by-step explanation:

y = x + 8

Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the

y-intercept so b=8

Answer:

Step-by-step explanation:

Making the equation of the parabola :

⇒ y = a(x - h)² + k

⇒ y = (x + 1)² - 17 - 13

⇒ y = (x + 1)² - 30

x-intercepts have y = 0 :

Taking the square root on each side :

The x-intercepts are :

Answer:

Step-by-step explanation:

Problem a

a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.  

The top angle = x

x + 70.5 + 70.5 = 180      All triangles have 180 degrees.

x + 141 = 180                    Subtract 141 from both sides

x + 141-141 =180 - 141       Combine

x = 39

c + 39 + 87.2 =180           Combine the left

c + 126.2 = 180                 Subtract 126.2 from both sides

c+126.2-126.2 = 180-126.2

c = 53.45

Answer: 53.45

Problem B

Comment

Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.

Supplement of 115.6

Call the supplement = y

y + 115.6 = 180                         Supplementary angles = 180 degrees

y +115.6-115.6 = 180 - 115.6     Combine

y = 64.2

Now we need the supplement of 99.9

Call the supplement = z

z + 99.9 = 180                           Supplementary angles = 180

z+99.9-99.9 = 180-99.9

z = 80.1

Now subtract y + z from 180

180 - 64.2 - 80.1 = x

x = 35.7

x is opposite d

d = x

d = 35.7 degrees.

Answer

d = 35.7

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Answer: [tex]4\sqrt{7}[/tex]

Step-by-step explanation:

If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].

So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].

This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]