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3 years ago

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 . What is the value of b?

2 answers:

6 0

The axis of symmety is the x value of the vertex

to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a

3x^2+bx+4=0
3/2=vertex

-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9

gregori [183]3 years ago

5 0

the correct answer is B=-9

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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,

Tems11 [23]

For this case we have the following quadratic functions:

Revenue: $3x ^ 2 + 4x - 60$

Cost: $3x ^ 2 - x + 200$

Then, we observe that the profit is given by the following mathematical relationship:

$Profit = Revenue - Cost$

Substituting values we have:

$Profit = (3x ^ 2 + 4x - 60) - (3x ^ 2 - x + 200)$

Making the corresponding calculations we have:

$Profit = x ^ 2 (3-3) + x (4 + 1) + (-60-200)\\Profit = 5x - 260$

Answer:

An expression that represents the profit is:

$Profit = 5x - 260$

4 0

3 years ago

Read 2 more answers

What is the value of this expression when c = -4 and d = 10?

lianna [129]

The complete question is

"What is the value of this expression when c= -4 and d= 10?

1/4 (c^3+d²)

A.2

B.9

C.21

D.41"

The value of this expression when c = -4 and d = 10 will be option B 9.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

$1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9$

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

6 0

1 year ago

Ryan is selling a new computer system that he designed. He spent $200

Neporo4naja [7]

Answer:

Ryan should mark the price as $300.

Step-by-step explanation:

If he wants to markup his price by 50%, you first take 50% of $200 which is $100, then you add it to the original price 200+100= $300

4 0

2 years ago

The area of a square is 72.25 inches squared. Find the length of the side and the perimeter.

Nadya [2.5K]

Answer:

8.5 inches and 34 inches

Step-by-step explanation:

Area of the square = 72.25

side² = 72.25

side = \sqrt{72.25}

Side = 8.5 in

Perimeter = 4 × side

Perimeter = 4 × 8.5 in

Perimeter = 34 in

6 0

3 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago