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12345 [234]
3 years ago
8

Write the equation in the form y = a • b^x given the table below.​

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x

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valentinak56 [21]
Question 27 The answer is x = 1 4/11
7 0
4 years ago
Find the solution to the system of the equations shown below: y = -4x + 11<br>y=1/2x+2​
Sav [38]

Hello!

\large\boxed{x = 2}

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.

3 0
3 years ago
I dont understand how to do this
Airida [17]

The statement EF=2.GF (Option A) and the statement

\frac{\sqrt{3} }{2} .EF=GE (Option C) are true for the ΔEFG.

<h3>What are trigonometric ratios?</h3>

The six trigonometric ratios of a right-angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. Trigonometric ratios are used to measure the sides of the right triangle.

Given that in ΔEFG, m∠E=30°, m∠F=60° and m∠G=90°.

Wow, sin 30°=\frac{GF}{EF}

⇒\frac{1}{2} =\frac{GF}{EF}

⇒EF=2.GF

and sin 60°=\frac{GE}{EF}

⇒\frac{\sqrt{3} }{2} =\frac{GE}{EF}

⇒\frac{\sqrt{3} }{2} .EF=GE

Therefore, the statement EF=2.GF (Option A) and the statement \frac{\sqrt{3} }{2} .EF=GE (Option C) are true for the ΔEFG.

To learn more about trigonometric ratios visit:

brainly.com/question/1201366.

#SPJ1

6 0
2 years ago
the ratio of blue marbles to white marbles in a bag is 4 to 5 . at this rate, how many blue marbles are there if there are 15 wh
Aleksandr-060686 [28]
4:5 = x : 15
let x be blue marbles
4(15) = 5x
x = 12
therefore 12 blue marbles
3 0
4 years ago
Read 2 more answers
Find the slope of the line passing through the<br> points<br> (-9, 2) and (7,2)
7nadin3 [17]

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

\frac{ - 2 + 2}{9 + 7}  =  \frac{0}{16}  = 0

I am joyous to assist you anytime.

8 0
3 years ago
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