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xz_007 [3.2K]
3 years ago
15

F(x)=2x+6

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
7 0

Answer:

The Correct option is B. B.-10x^2-48x-54

Therefore the product of f and g. is

F(x)\times G(x)=-10x^{2}-48x-54

Step-by-step explanation:

Given:

F(x)=2x+6

G(x)=-5x-9

To Find:

The product of f and g.

F(x) × G(x) = ?

Solution:

The product of f and g.

F(x)\times G(x)=(2x+6)(-5x-9)

Applying Distributive Property we get

F(x)\times G(x)=(2x(-5x-9)+6(-5x-9)\\=-10x^{2}-18x-30x-54\\

Combining like terms we get

F(x)\times G(x)=-10x^{2}-48x-54

Therefore the product of f and g. is

F(x)\times G(x)=-10x^{2}-48x-54

Montano1993 [528]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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The Park family was traveling to Disney World on vacation. They drove 487.5 miles in 7.5 hours. At this rate, how many miles did
andrew-mc [135]

They drove 65 miles per hour

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3 years ago
Sandra writes (4x30) + (4x2) and says the quotient for 128 + 4 is 8. is she correct? explain.
Rashid [163]
No, because the equation shows her answer. 30 and 2 combined equals 32, which is the answer. 32x4=128 and 128/4=32
6 0
3 years ago
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5,930,000 in scientific notation
Arturiano [62]

Answer:

5.93 x 10^4

Step-by-step explanation:

5.93 is the decimal of 5,930,000

there are 4 zeros so it leads to 10 to the 4th power

3 0
3 years ago
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The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 1, where x is the n
viktelen [127]

Answer:

His profit in dollars per day is 91.

Step-by-step explanation:

You know that the net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1*x² + 6*x + 1, where x is the number of employees he hires.

If he hires the number of employees that will maximize his profit, then this indicates that I should look for the maximum of the function f (x).

A quadratic function or second degree function is a polynomial function defined as:

f(x)= a*x² + b*x + c

If the scalar a> 0, the parabola opens upwards and the vertex is the minimum of the function. On the other hand, if a <0, the parabola opens downwards and the vertex is the maximum of the function.

In this case, having a value of -0.1, the vertex will indicate the maximum of the function.

The maximum in x is then reached when:

x=\frac{-b}{2*a}

In this case, being a=-0.1 and b=6, you get:

x=\frac{-6}{2*(-0.1)}=\frac{-6}{-0.2} =30

The number of employees who will maximize their profits is 30. So, replacing in the function f (x) you get:

f(30) = -0.1*30² + 6*30 + 1

Solving:

f(30)= 91

<u><em> His profit in dollars per day is 91.</em></u>

3 0
3 years ago
Identify Properties Used in
djverab [1.8K]

The question is:

Identify properties used in each step in rewriting the polynomial expression below:

  • (x + 5) + 3(a + (6x)y)

Step 1: (5 + x) + 3(a + (6x)y)

Step 2: 5 + (x + 3(a + (6x)y)

Step 3: 5 + (x + 3a + (18x)y)

Step 4: 5 + (x + 3a +18xy)

Answer:

See below

Explanation:

<u>Step </u>                                   <u>Property and its explanation</u>

Step 1:

(5+x)+3(a+(6x)y)           <u>Given</u>: this is just the starting expression

Step 2:

5+(x+3(a+(6x)y)          <u>Associative property of addition</u>:

                                            the variable x was associated with the

                                            expression to its right

Step 3:

5+(x+3a+(18x)y)           <u>Distributive property of multiplication over</u>

                                              <u>addtition</u>: the number 3 was multiplied by

                                              each term inside to the parenthesis

Step 4:

5+ (x+3a+18xy)             <u>Simplification</u>: the product (18x)y was

                                             solved

5 0
3 years ago
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