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Dafna1 [17]
3 years ago
10

The graphed line can be expressed by which equation?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

y + 2 = 2/3(x + 2)

Step-by-step explanation:

Slope = 2/3 (rise/run)

Point: (-2,-2)

y - - 2 = 2/3 (x - - 2

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Help me answer the question ​
Nastasia [14]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Given,

  • Mother's age = x
  • Revathi's age = 1/3 x = ?
  • Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

\sf \: x -  \frac{1}{3}x  = 24 \\

Combine x and \sf\:-\frac{1}{3}x to get \sf\frac{2}{3}x.

\sf\frac{2}{3}x=24  \\

Multiply both sides by \sf\frac{3}{2}, the reciprocal of \sf\frac{2}{3}.

\sf \: x=24\times \left(\frac{3}{2}\right)

Express \sf24\times \left(\frac{3}{2}\right) as a single fraction.

\sf \: x=\frac{24\times 3}{2}  \\

Multiply 24 and 3 to get 72.

\sf \: x=\frac{72}{2}  \\

Divide 72 by 2 to get 36.

\boxed{ \bf \: x=36 }

We now have the age of Revathi's mother (x) = <u>36 years</u>. Now, let's find Revathi's age ⇨ \sf\:(\frac{1}{3}x)

\rightarrow \sf \:  \frac{1}{3} x  \\  \rightarrow \sf \: \frac{1}{3}  \times 36 \\  \rightarrow \sf \: \frac{1}{ \bcancel  3}  \times  \bcancel{36} \\  \rightarrow \sf \:1 \times 12 \\  =    \boxed{\boxed{\bf \: 12}}

  • So, Revathi is <em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>years </u></em><em><u>old.</u></em>
6 0
3 years ago
Read 2 more answers
Please help me on this it a about to be due
makvit [3.9K]

Answer:

A

Step-by-step explanation:

sin is opposite/hypotenuse, which is 24/26, simplifying to 12/13

8 0
3 years ago
Read 2 more answers
Clarence saved 19% of the money he earned. If he earned $90, how much did Clarence save?
Tcecarenko [31]

Answer:

probably like 10

Step-by-step explanation:

8 0
3 years ago
What is the logarithmic form of the solution to 102t = 9?
Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is t = \frac{\log(9)}{2}

<h3>How to rewrite the equation</h3>

The expression is given as:

10^{2t} = 9

Take the logarithm of both sides

\log(10^{2t}) = \log(9)

Apply the power rule of logarithm

2t\log(10) = \log(9)

Divide both sides by log(10)

2t = \frac{\log(9)}{\log(10)}

Apply change of base rule

2t = \log_{10}(9)

Divide both sides by 2

t = \frac{\log_{10}(9)}{2}

Rewrite as:

t = \frac{\log(9)}{2}

Hence, the equation in logarithmic form is t = \frac{\log(9)}{2}

Read more about logarithms at:

brainly.com/question/25710806

8 0
2 years ago
Find the average rate of change of f(x)=2x^2-7x from x=2 to x=6
scoundrel [369]

Answer:

Step-by-step explanation:

The average rate of change of a function f between a and b (a< b) is :

R =[f(b)-f(a)] ÷ (a-b)

●●●●●●●●●●●●●●●●●●●●●●●●

Let R be the average rate of change of this function

f(6) = 2×6^2 - 7×6 = 72-42 = 30

f(2) = 2×2^2 - 7×2 = 8-14 = -6

R = [f(6) - f(2)]÷ (6-2)

R = [30-(-6)] ÷ 4

R = -36/4

R = -9

■■■■■■■■■■■■■■■■■■■■■■■■■

The average rate of change of this function is -9

8 0
3 years ago
Read 2 more answers
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