Solve the following functions:

f(x) = 20x - 90 find f (x) = 10

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]

Using this formula, we get

[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]

[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]

[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

Answer:

For the quadratic trinomial  the following formula

, where  are trinomial roots, holds.

1. For trinomial  find the roots

2. The factoring form is

Answer: correct option is B.

Step-by-step explanation:

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Do you mean 6x^2 - 13x - 5?

6x^2 factors into 6x, x or 3x, 2x

-5 factors into -1, 5 or -5, 1

Use combinations of the factors until you get the correct trinomial.

6x^2 - 13x - 5 = (2x - 5)(3x + 1)

Answer: y=4x+11

Step-by-step explanation:

Answer:

3,2

Step-by-step explanation:

Mind maps are a great way of

Answer:

They are equal

Step-by-step explanation:

320 oz is 20 pounds:))

Answer:

The first one

Step-by-step explanation:

4x - 3y = 15  .first you subtract the 4x from both sides to get it in correct form

-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y

y = 4/3x - 5  . Then you are left with this answer

Answer:

y = 4/3x - 5 (first answer on your photo)

Step-by-step explanation:

4x - 3y = 15

4x - 3y = 15 (we use -4x)

-3y = 15 - 4x (divide by -3)

y = 4/3x - 5

I don't know what number 1 and number 2 mean,

3：11

4

5：-3

6：-8

You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.

Answer:

1/6

Step-by-step explanation:

gradient= change in y/ change in x

-4--5/2--4= 1/6

1/6 is the gradient

The gradient of the line segment in its simplest form is: 1/6.

Given the following points, (-4,-5) and (2,-4) are on a line segment:

Gradient (m) = change in y / change in x

Gradient (m) = (-4 -(-5))/(2 -(-4))

Gradient (m) = 1/6

Therefore, the gradient of the line segment in its simplest form is: 1/6.

Learn more about gradient of a line segment on:

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Answer:

0.56

Step-by-step explanation:

Answer:

14/25

Step-by-step explanation:

Because you cant divide both of them by the same number.

Answer: 38 is not a perfect square.

square root of 38 is 6.164

Step-by-step explanation:

it is between 6 and 7

Answer:

6 and 7

Step-by-step explanation:

Choose the closest perfect squares either side of 38, that is

36 < 38 < 49 , then

[tex]\sqrt{36}[/tex] < [tex]\sqrt{38}[/tex] < [tex]\sqrt{49}[/tex] , that is

6 < [tex]\sqrt{38}[/tex] < 7

Answer:

7. y-1=4(x-2)

y-1=4x-8

y=4x-7

8. y-2=6(x--7)

y-2=6x+42

y=6x+44

11. y-3=2(x-1)

y-3=2x-2

y=2x+1

12. y-4=-1(x-1)

y-4=-x+1

y=-x+5

Answer:

C= 100+25t

Step-by-step explanation:

The y-intercept of the function is 100 which represents the one-time joining fee.

that is the correct answer, hope it helped!

The y-intercept of the function is 100 which represents a one-time fee to join.

Given that,
Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months.
The graph of the function C = 100 +25m is given,

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
C= 100+25t
Where C represents the total charge,
t represents the number of months as of 25 per month,
And 100 represents the one-time chargeable fee to join.

Thus, the y-intercept of the function is 100 which represents a one-time fee to join.

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Answer:

Step-by-step explanation:

This is  a proportion question.

change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333

change 3/5 to a decimal 3/5 = 0.6

3.3333 / 2.6 = x / 4                 Cross multiply

4*3.33333 = 2.6x                    Combine the left.

13.33333= 2.6x                       Divide by 2.6

13.3333/2.6 = x

x = 5.128 spoons of syrup.

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Answer:

y = -2/3x +3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the best answer may be D because 9/3 =3 3×5=15

Answer:

g(1) = 0

There is a remainder of 10 so you can automatically cross out 3 and 4.

When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

The given equation is:

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0

Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]

Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

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Answer:

11:12

Step-by-step explanation:

I hoped that i helped u out :)

Answer:

11 is my best guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

40*25%= 10 off

40-10= $30.00 sale price

Answer:

(123+88)-2= 209

Step-by-step explanation:

Answer:

is it degrees

Step-by-step explanation:

?

Answer:

A

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

Answer:

The correct answer is C(11,7)

Step-by-step explanation:

I had this question and got it right lol

The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).

The coordinates of the preimage would be :

x  = x cos θ + y sin θ

y = x sin θ + y cos θ

Here x = -11 ,y = 7 and θ = 270°

Substitute the values in the above equations,

x  = (-11) cos 270° + 7 sin 270° = -7

y = (-11) sin 270° + 7 cos 270° = 11

Therefore, the required coordinates of the preimage are (-7, 11).

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Answer:

20570

Step-by-step explanation:

3% of 17,000 is 510 so 17,000+7(510)=20570

Answer:

3570

Step-by-step explanation:

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

Answer:

The mean is 4.5

Step-by-step explanation:

u add the numbers and divide by how many numbers there are

Answer:

I think the answer is D.

Step-by-step explanation:

thats what i think at least

Answer:

D. y = 3square root of x

Step-by-step explanation: