A polynomial, P(x) = x2 + 2x + k has (x – 2) as a factor. What is
the value of k?

Answer:

d

Step-by-step explanation:

–0.4x – 10 > 14

           –0.4x > 24

                    x < –60

the correct solution to the inequality – 0.4x – 10 > 14 is x < – 60.

Inequality refers to a mathematical relationship between two values that are not equal.

The correct work that uses properties of inequality to find the solution to – 0.4 x – 10 > 14 is:

– 0.4 x – 10 > 14

Subtract 10 from both sides:

– 0.4 x > 24

Divide both sides by – 0.4 (note the change in inequality direction when dividing by a negative number):

x < – 60

Therefore, the correct solution to the inequality – 0.4x – 10 > 14 is x < – 60.

Learn more about inequality here

https://brainly.com/question/20383699

#SPJ6

Answer:

[tex]Probability = 34.3\%[/tex]

Step-by-step explanation:

Given

Represent acceptable with A and defective with D

[tex]A = 70\%[/tex]

[tex]B = 30\%[/tex]

Required

Determine the probability that three selected are acceptable

This can be represented as:

[tex]Probability = AAA[/tex]

Substitute values for A

[tex]Probability = 70\% * 70\% * 70\%[/tex]

[tex]Probability = 34.3\%[/tex]

Answer:

5

Step-by-step explanation:

Given, y=5x+4

It is in the form, y=mx+c, m is the slope

Slope m = 5

Answer:

1.5 hours

Step-by-step explanation:

Number of miles = 25 miles

Average speed = 7.4 miles per hour

Break after 13.9 miles

How many more hours does he run

Speed = distance / time

Total time for 25 miles :

Time = distance / speed

Time = 25 / 7.4

Time = 3.378 hours

Total time to cover 13.9 miles :

Time = 13.9 / 7.4

Time = 3.378 hours

Time = 1.878 hours

Difference = (3.378 - 1.878) hours = 1.5 hours

Hence, he to ran for 1.5 hours after taking a break

The total time required for the 25 miles run is 3.378 hours and he will run for 1.5 hours after the break.

Given information:

Roberto runs 25 miles.

The average speed is 7.4 miles per hour.

He takes a break after 13.9 miles.

Now, speed is defined as the ratio of distance and time.

So, the time taken by him to run first 13.9 miles will be,

[tex]s=\dfrac{d}{t}\\7.4=\dfrac{13.9}{t_1}\\t_1=1.878[/tex]

So, he ran for 1.878 hours to cover 13.9 miles.

Now, the total time of the 25 miles run will be,

[tex]T=\dfrac{25}{7.4}\\T=3.378[/tex]

So, the total time of the run is 3.378 hours.

After the break, he will run for 3.378-1.878 hours = 1.5 hours.

Therefore, the total time required for the 25 miles run is 3.378 hours and he will run for 1.5 hours after the break.

For more details, refer to the link:

https://brainly.com/question/20498128

Answer:

$120

Step-by-step explanation:

$120-75% is $30. 1/4 of $120 is $30, so 3/4 is $90. $120-$90 is $30. To find the answer to future equations like this, just multiply the sales price by 4 if the percentage is 75.

It is not $52.50, because 75% of that is $39.375, making that one's sales price 13.125.

Answer:

$52.50 is the original price

Step-by-step explanation:

In order to find the answer, multiply $30 * 0.75 which equals $22.50 and add $30 + $22.50 which would equal $52.50

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Step-by-step explanation:

Distance = speed * time

For Ben:

speed = 3mi/hr

Time = (x+1.5)hr

Distance = 3 * (x+1.5)

Distance = 3(x+1.5)

For Amanda:

Speed = 7mi/hr

time = 1x

Distance = 7x

Since they cover the same distance then:

3(x+1.5) = 7x

3x + 4.5= 7x

3x-7x = -4.5

-4x =-4.5

x = 4.5/4

x =  1.125 hr

The time taken  by Amanda is 1.125 hr

Answer:

70.68 inch is the volume of the rectangular prism

Step-by-step explanation:

V = w × h × l

V = 3.8 inch × 3 inch × 6.2 inch

V = 70.68 inch is the volume of the rectangular prism

To check:

70.68 ÷ 3.8 ÷ 6.2 = 3 inch (height)

70.68 ÷ 6.2 ÷ 3 = 3.8 inch (width)

70.68 ÷ 3.8 ÷ 3 = 6.2 inch (length)

Answer:

It would be 7a-3b.

Answer:

May I ask what error are we talking ab?

Step-by-step explanation:

9514 1404 393

Answer:

  343 in³

Step-by-step explanation:

The volume of a rectangular prism is the product of its dimensions:

  V = LWH = (7 in)(7 in)(7 in) = 7³ in³

  V = 343 in³

Answer:

5x − k = 100

[tex]x=\frac{100-k}{5} \\[/tex]

Step-by-step explanation:

The amount she spends on lunch is x = (100 + k) /5.

Given: Janet spent $100 on books.

This was k dollars less than five times what she spent on lunch.

We can construct an equation from it :

5x-k = 100

Thus , x = (100 + k) /5.

Learn more about equations on: https://brainly.com/question/16450098

#SPJ2

Answer:

They are dependent

Step-by-step explanation:

A dependent event is one in which its chances of happenning greatly relies on another event. An independent event which is the opposite is one in which its chances of happening is unaffected by another event. In the event described in the question above returning the rented movie after the due date would result in receiving a late fee.

One of the events- receiving a late fee, depends on when the rented movie is returned. This means that the events are dependent.

Answer:

x= 2

Step-by-step explanation:

y = -7x + 13

-1 = -7x + 13

7x - 1 = 13/+1

7x = 13 + 1

7x = 14/ :7

x = 2

Answer:

2

Step-by-step explanation:

Step 1:

y = - 7x + 13        Equation

Step 2:

- 1 = - 7x + 13       Input y

Step 3:

- 14 = - 7x        Subtract 13 on both sides

Step 4:

- 14 ÷ - 7 = x       Divide

Answer:

x = 2

Hope This Helps :)

Answer: 1 time

255 times 1 is 255. 255 plus 255 is 505. So only goes into 375 once.

Answer:

A

Step-by-step explanation:

Because |x| would be absolute value.

Absolute value is always positive so If you had

|-7| it would equal 7.

The number line in option A is the only one that shows it.

Answer: option A

Step-by-step explanation:

Remember, the number line that is option A has absolute value.

So, it would mean this number line is the answer.

Hope it helps!

Answer:

x=20

Step-by-step explanation:

Complementary = 2 angles which = 90 degrees

so 2x+10 + x+20 =90

combine like terms

3x+30=90

    -30  -30

3x=60

x=20

lets check!        (2(20)+10) + (20+20)

                           50       +        40  =90 degrees

Answer:

x = 20

angle 1 = 50

angle 2 = 40

Step-by-step explanation:

complementary angles add up to 90

so, you can make this equation:

2x + 10 + x + 20 = 90

combine like terms

2x + x + 10 + 20 = 90

3x + 30 = 90

subtract 30 from both sides of the equation

3x + 30 - 30= 90 - 30

3x = 90 - 30

3x = 60

divide both sides of the equation by 3

3x/3 = 60/3

x = 60/3

x = 20

now, plug x into the angles:

2x + 10

2 * 20 + 10

40 + 10

the first angle is 50°

x + 20

20 + 20

the second angle is 40

Answer:

7.5x+20y

Step-by-step explanation:

Just multiply 2.5 by 3 then 8.

2.5*3= 7.5

2.5*8=20

Hope this helps! Please consider marking brainliest!

Answer:

7.5x + 20y

Step-by-step explanation:

2.5 times 3 is 7.5

2.5 times 8 is 20

Because there is a variable attached, the number (coefficient) is multiplied with the variable :)

Answer:

190

Step-by-step explanation:

19 × 10 =190

if you multiply it it will be ten times larger

Answer:

190

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: 12 free throws

Step-by-step explanation: This problem can be solved using proportions or a table.

For every 2 minutes, theres 3 free throws.

For every 4 minutes, theres 6 three throws

For every 6 minutes, theres 12 free throws.

Multiplying twice for each number.

Answer:

x=29

Step-by-step explanation:

5 times 29 equals 145 and 9 plus 57 plus 69 equals 135 add 135 and 145 and you get 180.

The filled circle means either 'less than or equal to' or 'greater than or equal to' and the empty circle means 'less than' or 'greater than'.

Answer:

the unshaded line means less than or greater than

And the shaded line means greater than or equal to or less than or equal to

Step-by-step explanation:

the 1st one is greater than

the 2nd one is greater than or equal to

this is greater than or equal to  ≥

this is greater than >

HOPE THIS HELPS!!!!!

Answer:

no u

Step-by-step explanation:

Answer:

4.8 cups

Step-by-step explanation:

you set up a proportion of 3/5 and x/8 and then cross multiply to get your answer

Answer:

y = -2x + 4  

Step-by-step explanation:

We are given that a line has a slope (m) of -2 and passes through (5, -6).

We want to write the equation of the line.

There are three ways to write the equation of the line:

Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.

As we are already given the slope, we can immediately plug that into the equation.

Substitute m with -2.

y = -2x + b

Now, we need to solve for b.

As the equation passes through (5, -6), we can use its values to help solve for b.

Substitute 5 as x and -6 as y.

-6 = -2(5) + b

Multiply.

-6 = -10 + b

Add 10 to both sides.

4 = b

Substitute 4 as b.

y = -2x + 4  

Answer:

? hey wanna be friends?

Answer:

hi!

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer:

C. The amount of gas left in Steve's car at his next visit to the gas

station is a function of the distance he drove.

Step-by-step explanation:

From the question, the car starts with a full tank of gas and the more the distance covered, the less gas will be left in the car at the next visit to the gas station.

The variables to take note are the distance travelled and the amount of gas left in the car at next visit to the gas station.

This means the farther he drives, the less gas will be left in the car because longer distances travelled consumes more gas in the car thus less gas will be left when the next visit to the gas station occurs.

Answer:

no it is equal cause they are the same number

Step-by-step explanation:

Answer:

ninety-nine million nine hundred ninety-nine thousand two hundred twenty

Step-by-step explanation: