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3 years ago

If f(x) = x/2 -3 and g(x) = 3x2 +x-6 find (f+g) (x)

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

Step-by-step explanation:

(f+g)(x)=f(x) + g(x)=(x/2)-3+3x^2+x-6=3x^2+(3/2)x-9

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

6 0

3 years ago

Madam Siti bought the same lengths of red and yellow ribbons. After she used 836 cm of the red ribbon, the length of the yellow

Yuliya22 [10]

Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon

Step-by-step explanation:

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

bought the same lengths of red and yellow: R = Y

after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y

Use substitution method to solve:

5(R - 836) = R

5R - 4180 = R distributed 5 on the left side

4R - 4180 = 0 subtracted R from both sides

4R = 4180 added 4180 to both sides

R = 1045 divided both sides by 4

5 0

3 years ago

Read 2 more answers

1/3(6x-12)=8(1/2x+1)-2

dlinn [17]

X = -5 is the answer I believe

8 0

3 years ago

Which number has a 3 that 10 times greater than the 3 in 513?

cestrela7 [59]

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30

3 0

2 years ago

After m

Whitepunk [10]

length of finger nail in m month =10+3m
length of finger nail in 8 months =10+3*8
=10+24 =34mm
I think thats the answer but im pretty sure thats the answer

4 0

3 years ago

Read 2 more answers