Help plsss!!!

Mathematics

1 answer:

Kisachek [45]4 years ago

4 0

Answer:

A and C

Step-by-step explanation:

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(Please show all work) 1. Find f(6) if f(x)= 1/2x + x - 4

dsp73

Answer:

$\large\boxed{1.\ f(6)=5\ or\ f(6)=20}\\\boxed{2.\ d=5}\\\boxed{3.\ vertex=(-3,\ -1)}$

Step-by-step explanation:

$1.\\\text{Put x = 6 to the equation of a function}\ f(x):\\\\\text{If}\ f(x)=\dfrac{1}{2}x+x-4\to f(6)=\dfrac{1}{2}(6)+6-4=3+6-4=5\\\\\text{If}\ f(x)=\dfrac{1}{2}x^2+x-4\to f(6)=\dfrac{1}{2}(6^2)+6-4=\dfrac{1}{2}(36)+2=18+2=20\\\\2.\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{We have the points (2, -4) and (5, -8). Substitute:}\\\\d=\sqrt{(5-2)^2+(-8-(-4))^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

$3.\\\text{The vertex formula of a parabola:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\\\\text{We have}\ y=(x+3)^2-1=(x-(-3))^2-1\\\\\text{Therefore the vertex is:}\ (-3,\ -1).$

8 0

3 years ago

If we apply a scale factor of 3 to a cube where each side is 2 inches long, what will the volume of the new cube be?

Nataly [62]

Answer:

216

Step-by-step explanation:

3*2= 6

6*6=36

6*36=216

8 0

4 years ago

Can anyone help with pre- alerba

faust18 [17]

Answer:

$\sqrt{x^2} = |x|$

Step-by-step explanation:

$\sqrt{x^2} = |x|$

The radical symbol when used for a square root means the non-negative square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.

7 0

3 years ago

Plz plz help me look at the image

Dominik [7]

Answer:

Step-by-step explanation:

$2(x + 4) = 28$