If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).

A) x^2+17x−60
B) x^2−7x+60
C) x^2+7x−60
D) x^2+7x−7

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

Answer:

Step-by-step explanation:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. The constant of proportionality is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

Answer:

Its is so u get points make me he brainlst thx

Step-by-step explanation:

Answer:

224,000

Step-by-step explanation:

annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer

Answer:

Step-by-step explanation:

To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2

Answer:

x≤2

Step-by-step explanation:

4x-2≤6 add to 2 to both sides

4x≤8 divide both sides by four

x≤2

Hope this helps! :)

Answer:

x=4

Step-by-step explanation:

You set the equation up like this

3x+2x-2=18

5x-2=18

5x=20

x=4

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

Learn more about decimal forms, click;

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Answer:

Step-by-step explanation:

it's a rational number because it can't be a whole number with the decimal point and it can't be an integer because it's not a negative or positive number it also can't be an irrational number because an irrational number isn't a terminating or repeating decimal its a rational number because it's a terminating number

Answer:

16 bags in all

Step-by-step explanation:

4x4=16

Answer:16

Step-by-step explanation:

4*4 or 16/4 = 16

Answer:

150 feet

Step-by-step explanation:

the ratio of her shadow to her height

2/5=60/150

60/150=2/5

i hope it is right

Answer:

The answer is C) 150 feet

Is rigth

Step-by-step explanation:

2/5=60/150

2/5= 0.4

60/150=0.4

Answer:

specify please

Step-by-step explanation:

Answer:

I have been trying to get this answer for the longest

Step-by-step explanation:

Answer:

0.55/8.92×100

55/8.92

=6.17%

Answer:

[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

Answer:

I'm pretty sure its 11 and 14

Step-by-step explanation:

Sorry if i'm wrong or can't help more.

Answer:

Negative

Step-by-step explanation:

because it's going down towards the right.

The increase rate per year is 0.

Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.

here given equatiοn fοr the value οf the cοmic bοοk is:

V(y) = 0.20y + 1.50

where y is the number οf years since it was released.

Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:

dV/dy = 0.20

This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.

Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:

V(0) = 0.20(0) + 1.50 = 1.50

Therefοre, the initial value οf the cοmic bοοk is $1.50.

Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:

d/dy (1.50) = 0

This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.

To learn more about calculus, from the given link.

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Answer:

1350 words

Step-by-step explanation:

8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer

Answer:

-5,-2,1,and 5

Step-by-step explanation:

Answer:

s= 2000n + 55000

comparing with y= mx +c

The slope of given line is 2000 which represents that  the salary of camden increases at the rate of 2000 per year .

Step-by-step explanation:

Answer

the answer is C. 20 :)

Step-by-step explanation:

hope it helps!

Answer:

C

Step-by-step explanation:

No option is equal to the expresion, but.C is similar.

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

The function y = sin(x) / x is an even function.

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given as,

y = sin(x) / x

Put x = -x, then we have

y = sin(-x) / (-x)

y = -sin(x) / (-x)

y = sin(x) / x

The function y = sin(x) / x is an even function.

More about the even function link is given below.

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Answer:

As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Step-by-step explanation:

Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.