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4 years ago

If (X + 8) is a factor of f(x), which of the following must be true?

Mathematics

1 answer:

julsineya [31]4 years ago

4 0

Answer: C

Step-by-step explanation:

If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,

X + 8 = 0

X = 0 - 8

X = -8

If -8 is substituted into f(x), the equation will tend to zero. That is,

F( -8 ) = 0

C is therefore the correct answer.

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Solve the equation below and record solution. <br> Example Solution: x = ______<br> 35 = 1.5x - 10

Oliga [24]

Answer:

x=30

Step-by-step explanation:

Let's solve your equation step-by-step.

35=1.5x−10

Step 1: Flip the equation.

1.5x−10=35

Step 2: Add 10 to both sides.

1.5x−10+10=35+10

1.5x=45

Step 3: Divide both sides by 1.5.

1.5x÷1.5=45÷1.5

x=30

4 0

3 years ago

Read 2 more answers

Point P(5,0) is on the terminal arm of an angle k in standard position.

7nadin3 [17]

The value of the cosine of angle $k$ is 1.

Given a point $(x,y)$ that is a terminal arm of an angle $k$ in standard position, by trigonometric relations we have the following expression for the cosine:

$\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (1)

Where:

$k$ - Angle measure, in sexagesimal degrees.
$x$ - Horizontal position of the point of the terminal arm, no unit.
$y$ - Vertical position of the point of the terminal arm, no unit.

If we know that $x = 5$ and $y = 0$ , then the cosine of the angle $k$ is:

$\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}$

$\cos k = 1$

The value of the cosine of angle $k$ is 1.

To learn more on trigonometric relations, we kindly invite to check this verified question: brainly.com/question/6904750

5 0

3 years ago

A hot cup of coffee is 200F when poured and placed in a room that is 70F. 10 min later the temperature of the coffee has cooled

Marianna [84]

Answer:

The temperature of coffee becomes 163.08 Fahrenheit.

Step-by-step explanation:

The Newton's law of cooling can be mathematically written as

$-\frac{dT}{dt}=k(T-T_{room})\\\\\frac{-dT}{(T-T_{room})}=kdt$

Applying the limits in the above relation as

At t = 0 ; T= 200 F

At t =10 ; T = 180 F

$-\int_{200}^{180}\frac{dT}{T-70}=\int_{0}^{10}kdt\\\\-ln(T-70)_{200}^{180}=k\times 10\\\\\therefore k=\frac{ln(1.181)}{10}\\\\\therefore k=0.0167$

Applying the limits in the above relation as

At t = 10 ; T= 180 F

At t =20 ; T = T F

$-\int_{180}^{T}\frac{dT}{T-70}=\int_{10}^{20}0.0167dt\\\\-ln(T-70)_{180}^{T}=0.167\\\\\therefore T = 163.08F$

5 0

3 years ago

Read 2 more answers

Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned

Rama09 [41]

About 6.666666667 percent, that’s his commission rate

3 0

3 years ago

You have 1 case of soap bars and there are 150 bars in a case you use 300 bars of soap per day how many cases do you need to ord

Leto [7]

Answer:

13 cases

Step-by-step explanation:

we know that

You have 1 case of soap bars

There are 150 bars in a case

You use 300 bars of soap per day ----> 2 cases per day

using proportion

Find how many cases do you need to order to have enough for 7 days

Let

x ----->the number of cases

2/1=x/7

x=2*7=14 cases

but remember that you have 1 case

you needed 14-1=13 cases

3 0

4 years ago