3 years ago

* This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *

Mathematics

1 answer:

Alex3 years ago

5 0

Answer:

thank you so much!!!!!!!!!

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A, C, D

Step-by-step explanation:

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Which ordered pair is the solution to the system of equations?

brilliants [131]

X+y=-1
3x-y=21
add them equations

x+y=-1
3x-y=21 +
4x+0y=20

4x=20
divide by 4
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x+y=-1
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(x,y)
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D is answer

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3 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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3 years ago

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

Ierofanga [76]

Answer:

it's -4 I just took the test and you will get it write

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3 years ago

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Hatshy [7]

Answer:

5.381

Step-by-step explanation:

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