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puteri [66]
4 years ago
11

Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. About how many more centimeters does

she need to grow before her next birthday to reach 5 feet? Use the drop-down menus to explain how to solve the problem. the number of inches in 5 ft by 2.54 cm. There are about cm in 5 ft. Then to find the number of centimeters that Sarah still needs to grow. She needs to grow cm to reach 5 ft.
Mathematics
1 answer:
Alla [95]4 years ago
3 0

Answer:

4.4 cm

Step-by-step explanation:

To solve this problem, we have to remind the conversion factor between feet and cm. We know that:

1 foot = 12 inches

1 inches = 2.54 cm

So,

1 ft = 12 \cdot 2.54 =30.48 cm

In this problem, Sarah's height right now is

h = 148 cm

She wants to be 5 feet tall by her next birthday: it means that her height should be

h'=5 ft \cdot 30.48 =152.4 cm

Therefore, she needs to grow by:

h'-h=152.4-148=4.4 cm

So, she needs to grow 4.4 cm more in order to be 5 feet tall.

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For the quadratic function <img src="https://tex.z-dn.net/?f=y%3D%28x%2B4%29%5E2-1" id="TexFormula1" title="y=(x+4)^2-1" alt="y=
xenn [34]

Answer:

y=x^2+8x+15

Intercept form is y= (x+5)(x+3)

vertex is (-4,1)

y intercept is (0,15)

x intercepts are (-5,0) (-3,0)

Step-by-step explanation:

Given quadratic function

y=(x+4)^2-1

To rewrite it in standard form we need to expand (x+4)^2

y=(x+4)(x+4)-1

y=x^2+8x+16-1

y=x^2+8x+15

Intercept form is y=a(x-p)(x-q)

Factor x^2 + 8x + 15

product is 15 and sum is 8, 5*3= 15 and 5+3=8

(x+5)(x+3)

Intercept form is y= (x+5)(x+3)

Vertex form of equation is y=(x-h)^2+k

where (h,k) is the vertex

y=(x+4)^2-1, here h = -4 and k =1 so vertex is (-4,1)

To find y intercept plug in 0 for x

y= (x+5)(x+3)

y= (0+5)(0+3) = 15, so y intercept is (0,15)

to find x intercept plug in 0 for y

y= (x+5)(x+3)

0= (x+5)(x+3),             x+5 =0           and x+3=0

                                   x=-5              and x= -3

So x intercepts are (-5,0) (-3,0)

6 0
3 years ago
Tessa bought stock in a restaurant for $278.00. Her stock is now worth $339.16. What is the percentage increase of the value of
Natasha2012 [34]

The percentage increase of the value of Tessa's stock is 22%

Step-by-step explanation:

The percentage of increase = \frac{New-old}{old} × 100%, where:

  • New: is the value after increasing
  • Old: is the value before increasing

Tessa bought stock in a restaurant for $278.00.

Her stock is now worth $339.16

We need to find the percentage of increase of the value of

Tessa's stock

∵ The initial value of the stock = $278.00

∴ The value of the stock after increasing = $339.16

- Substitute these values in the rule above

∴ The percentage of increasing = \frac{339.16-278}{278} × 100%

∴ The percentage of increasing = 0.22 × 100%

∴ The percentage of increasing = 22%

The percentage increase of the value of Tessa's stock is 22%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

8 0
3 years ago
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