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Eduardwww [97]
3 years ago
6

Your brother is 1/2 your age. Your sister is 5 years older than your brother. Your sister is 15 years old. Write and solve an eq

uation to find your age a.
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

a=2(s-5)

a(your age): 20

Step-by-step explanation:

a stands for your age

s stands for sister

a=2(s-5)

1-substitute 15 for s a=2(15-5)

2- a=2(10)

the 15-5 stands for sisters age minus five which gives you brothers age, 10. You multiply it by two because your brother is half your age.

3-a=20

check your work:

because your brother is 10 and you are 20, he is half your age (10/20 can be simplified to 1/2)

Hope this helped, if you have any other questions please lmk!

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This table shows values that represent an exponential function. What is the average rate of change for this function for the int
Pepsi [2]

Answer:

\boxed{12}

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

\frac{24}{2} = 12

6 0
3 years ago
If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

  • a = 4/3 and b = 0

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

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

4 0
2 years ago
Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2
Anna [14]

Answer:

See attached

Step-by-step explanation:

Given function:

  • y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

<u>Zero's are obtained:</u>

x = 0 ⇒ y = 8

y = 0 ⇒  Solving quadratic equation

  • -2x² + 5x + 8 = 0
  • x = (-5 ± √(25 + 2*4*8))/-4
  • x = 3.608
  • x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)

3 0
3 years ago
12x - 84 = 4x + 12. What does X equal?
Vesnalui [34]

Answer:

12

Step-by-step explanation:

To solve the problem, you have to leave the x alone,

To do so, you have to add 84 on each side

12x = 4x + 96

Then, subtract 4x on each side,

8x = 96

Then divide each side by 8, so

x = 12

Hope it helps!!

Let me know if I'm wrong or you need help on anything else!!

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8 0
3 years ago
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MA_775_DIABLO [31]
9 students 30% ends up being .3%, multiply .3% by 30 students which equals 9.
3 0
3 years ago
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