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3 years ago

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:

Step-by-step explanation:

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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]

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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

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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

His profit in dollars per day is 91.

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:

Step Property and its explanation

Step 1:

$(5+x)+3(a+(6x)y)$ Given: this is just the starting expression

Step 2:

$5+(x+3(a+(6x)y)$ Associative property of addition:

the variable x was associated with the

expression to its right

Step 3:

$5+(x+3a+(18x)y)$ Distributive property of multiplication over

addtition: the number 3 was multiplied by

each term inside to the parenthesis

Step 4:

$5+ (x+3a+18xy)$ Simplification: the product (18x)y was

solved

5 0

3 years ago