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2 years ago

Evaluate the expression when, m=-2 m²-6m-5 (Thank you for your help!)

Mathematics

1 answer:

Darina [25.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

$m=-2\\m^2-6m-5\\=(-2)^2-6(-2)-5\\=4-(-12)-5\\=4+12-5\\=16-5\\=11$

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Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8

horrorfan [7]

Answer:

Step-by-step explanation:

$\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}$

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3 years ago

Which relation is a function?

Artemon [7]

Answer:

Step-by-step explanation:

What makes a function is if each input or x-value has EXACTLY one output or y-value.

a. is wrong because the x value 1, has both an output of 1 and 4

b. is wrong because -1 is repeated 4 times with all different outputs

c. is correct because each input has exactly one output. None of the x values repeat itself

d. is wrong because -1 has 2 outputs.

so this is what makes a function and what doesn't. Hope this helps!

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2 years ago

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[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

$\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2$

$\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}$

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3 years ago

The odometer in Mr.Washington car does not work correctly. The odometer recorded 13.2 miles for his last trip to the hardware st

Klio2033 [76]

I think the answer its 1.8 percent because if you subtract 15-13.2 comes out to be 1.8.

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3 years ago

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Which properties justify the steps taken to solve the system? {3x−4y=9 2x+8y=6 Drag the answers into the boxes to match each ste

anzhelika [568]

1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality

2.) 8x=24 → Addition property of equality

3.) x=3 → Division property of equality

4.) 3(3)-4y=9 → Substitution property of equality

5.) 9-4y=9 → Simplify

6.) -4y=0 → Subtraction property of equality

7.) y=0 → Division property of equality

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3 years ago

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