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3 years ago

Help please with the process of solving

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer:

Slope (m) =ΔY /ΔX =-3/ 1 =-3

n slope = -3

From equation [-2x-8]

m slope = -2

so B) m>n

Step-by-step explanation:

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Let f(x)=7x^2-8. find f(a^2)

strojnjashka [21]

Answer:

$\large\boxed{f(a^2)=7a^4-8}$

Step-by-step explanation:

$f(x)=7x^2-8\\\\f(a^2)\to \text{put}\ x=a^2\ \text{to the equation of the function}\ f:\\\\f(a^2)=7(a^2)^2-8\qquad\text{use}\ (a^n)^m=a^{nm}\\\\f(a^2)=7a^{2\cdot2}-8\\\\f(a^2)=7a^4-8$

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3 years ago

Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

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3 years ago

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denis-greek [22]

Answer:

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zubka84 [21]

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Vlad1618 [11]

Answer:

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7 0

3 years ago

Help please with the process of solving​

Help please with the process of solving