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3 years ago

Find the slope of the graph of y=−45x−2.

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

The slope in this equation is $45$ .

Step-by-step explanation:

Slope-intercept form: $y = mx + b$

m = slope

b = y-intercept

x = variable

$y = mx + b\\y = -45x -2$

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If there is no solution to a graph of a system of equations, then the lines must be __________.

Viefleur [7K]

Parallel should be your answer!

4 0

3 years ago

If f(z)= sqrt z2+8z , then how much does f(z) increase as z goes from 7 to 8?

Nuetrik [128]

Answer:

Step-by-step explanation:

$f(7)=\sqrt{7^2+8*7}=\sqrt{49+56}=\sqrt{105} \approx 10.247\\f(8)=\sqrt{8^2+8*8}=\sqrt{128}=8\sqrt{2} \approx 11.314\\f(8)-f(7)=11.314-10.247=1.067 \approx 1.07$

3 0

3 years ago

Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

6 0

3 years ago

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the range?

ra1l [238]

I think $8. That’s the difference between the highest and lowest number.

4 0

2 years ago

Can someone check my answer & explain?

Novay_Z [31]

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

4 0

3 years ago