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densk [106]
3 years ago
8

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

Step-by-step explanation:

f

(

x

)

=

−

4

(

x

−

8

)

2

+

3

Set the polynomial equal to  

y

to find the properties of the parabola.

y

=

−

4

(

x

−

8

)

2

+

3

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

−

4

h

=

8

k

=

3

Since the value of  

a

is negative, the parabola opens down.

Opens Down

Find the vertex  

(

h

,

k

)

.

(

8

,

3

)

Find  

p

, the distance from the vertex to the focus.

Tap for more steps...

−

1

16

Find the focus.

Tap for more steps...

(

8

,

47

16

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

8

image of graph

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Mrs. Kang gave Caleb a collection of 25 marbles. Each month Caleb adds 4 marbles to his collection. Which inequality can be used
GarryVolchara [31]

Answer:

I did the math and got an answer of 17.5

Step-by-step explanation:

I divided 70 by 4 and got a result of 17.5. This probably means Caleb started his collection about 17 and 1/2 months ago. (I apologize if it's wrong)

3 0
3 years ago
Read 2 more answers
Equation Given: <img src="https://tex.z-dn.net/?f=h%28t%29%3D-4.9t%5E%7B2%7D%2B358" id="TexFormula1" title="h(t)=-4.9t^{2}+358"
Vilka [71]

Answer:

At 3.44 seconds, the penny is at a height of 300 meters above the ground.

Step-by-step explanation:

Basically, we have to solve an equation here:

-4.9t^{2} + 358 = 300

Hence,

-4.9t^{2} = 300 - 358

t^{2} = \frac{-58}{-4.9}

t = 3.44

Hence, at 3.44 seconds, the penny is at a height of 300 meters above the ground.

Hope this helped!

4 0
3 years ago
What is the function?
Bezzdna [24]

Answer:

you can do it , you can solve it , if you will not learn no job no money so need to study :))

Step-by-step explanation:

hope it helps ;)))

3 0
3 years ago
find the volume of the following figure round your answer to the nearest tenth if necessary and make sure to use pi
Vikki [24]

Answer:

524cm^2

Step-by-step explanation:

Formula for Volume of sphere= 4/3 πr^2

We have,

r=5cm

Now,

Volume(v)=4/3 πr^2 = 4/3π 5^3= 4/3π 125 = 166.666666667π = 523.598775599

Rounding to the nearest tenth,

Volume=524cm^2

4 0
3 years ago
Based on the circle graph how many pounds of milk and eggs does the average American consume each year PLS EXPLAIN FOR BRAINLEST
Gnoma [55]

Answer:

H.  552

Step-by-step explanation:

Circle graph information:

  • Milk and eggs = x%
  • Fruits and vegetables = 38%
  • Cereals = 10%
  • Meat and fish = 10%
  • Sugar = 8%
  • Fats and oils = 4%

Total consumption = 1840 pounds per person

First, calculate the percentage of milk and eggs (the value of x).

Total percentages = 100%

⇒ x + 38 + 10 + 10 + 8 + 4 = 100

⇒ x + 70 = 100

⇒ x = 30

Therefore, 30% of food consumption is milk and eggs.

To calculate the number of pounds of milk and eggs the average American consumes each year, simply find 30% of the total consumption:

= 30% of 1840

= 30% × 1840

=\sf \dfrac{30}{100} \times 1840

= 552

Therefore, the average American consumes 552 pounds of milk and eggs each year.

5 0
2 years ago
Read 2 more answers
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