the functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find
a. fg(3)

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The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

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Answer:1.694

Step-by-step explanation:

You take away the decimal from 3.54 and make the 6 the same number place

Ex. 1 ÷ 1.20

1=100

1.20=120

600 ÷ 354 = 1.694

Answer:

y=-1.25x+45

Step-by-step explanation:

pick 2 points

(4,40) and (8, 35)

use y-y1=m(x-x1)

m=(35-40)/(8-4)=-1.25

y-40=-1.25(x-4)

y=-1.25x+5+40

y=-1.25x+45

Answer:

39%

Step-by-step explanation:

[tex]\frac{3471}{8900}[/tex] converted to a percentage = 39%, or 0.39 in decimal form.

The number of people she can serve is 10 people.

She made 10 cups of chocolate mousse for dessert.

Her plan was to serve each person of a cup of chocolate mousse.

This means she will serve one person a cup of the chocolate mousse for dessert.

The number of people she will serve can be calculated with the following proportion.

let

x = number of people she can serve

Recall each person must get one

cross multiply

x = 10

Therefore, the number of people she can serve is 10 people.

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Answer:

B no wrok needed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Linear function representing the distance traveled 'y' in 'x' hours is,

y = 13x

Table for the points lying on the line is,

x               y

1               13

2             26

3             39

4             52

5             65

Since, these points are lying on the graph shown in the picture,

Given graph will be the answer.

Answer:

D  5y + 29x = 500

Step-by-step explanation:

Slope-intercept form of a linear equation:  y = mx + b

(where m is the slope/rate of change, and b is the y-intercept)

Given:  

⇒ when x = 0, y = 100

Therefore,  b = 100

Given:

Note that the water is decreasing in volume as time goes by.  Therefore, the rate of change is negative, so m = -5.8

Inputting these values into the equation gives:

y = -5.8x + 100

Multiply the equation by 5:

5y = -29x + 500

Rearrange:

5y + 29x = 500

Therefore, D is the solution.

Answer:

No

Step-by-step explanation:

(2,-2)

2 is the x coordinate

-2 is the y coordinate

3x - y = 4

3(2) -(-2) = 6 + 2

6 + 2 = 8, not 4

Hope this helps :)

Have a nice day!

Answer:

No, it is not in the line.

Step-by-step explanation:

Let's plug the coordinates of the point and find out

[tex]3(2) -(-2) = 4\\6+2 = 8\ne 4[/tex]

Answer:

The inverse is  5±sqrt(x+25)

Step-by-step explanation:

y = x^2 - 10x

To find the inverse, exchange x and y and solve for y

x = y^2 -10y

Complete the square

x+25 = y^2 -10y +25

x+25 = (y-5)^2

Take the square root of each side

±sqrt(x+25) = y-5

Add 5 to each side

5±sqrt(x+25) = y

The inverse is  5±sqrt(x+25)

Answer:

[tex]y=\pm\sqrt{x+25}+5[/tex]

Step-by-step explanation:

Given function:

[tex]y=x^2-10x[/tex]

Rearrange to make [tex]x[/tex] the subject.

First, complete the square by adding 25 to both sides and factoring:

[tex]y+25=x^2-10x+25[/tex]

[tex]y+25=(x-5)^2[/tex]

Square root both sides:

[tex]\pm\sqrt{y+25}=x-5[/tex]

Add 5 to both sides:

[tex]x=\pm\sqrt{y+25}+5[/tex]

Finally, swap [tex]x[/tex] and [tex]y[/tex] (since the inverse of a function is its reflection in the line [tex]y = x[/tex])

[tex]y=\pm\sqrt{x+25}+5[/tex]

Answer:

n = 36

Step-by-step explanation:

First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.

n - 22 + 22 < 14 + 22

n = 36

Answer:B

Step-by-step explanation:

Answer:

The area is 155 ft.

Step-by-step explanation:

To find the area if a trapezoid, you have to add the number on top( in this case 13 ft) and then add that with the bottom number(18 ft.) Then, you take that answer and divide it by 2. After that, multiply it with the height(10.) Thus, the answer is 155 ft.

Answer:

8.5

Step-by-step explanation:

because the hundredths place is not above 5

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

B.2 × 7^5

Step-by-step explanation:

two times seven to the fifth = 2 x 7^5

[tex]2 * 7 ^5[/tex]

[RevyBreeze]

Answer:

yes,it can ................

The computation of triangle ABC and ACD which are both isosceles shows that the value of x will be 36°.

It should be noted that the sum of angles in a triangle is 180°. In this situation two of the three angles have been given.

Therefore, the value of the third angle will be:

86° + 58° + x = 180°

144° + x = 180°

x = 180° - 144°

x = 36°

In conclusion, x is 36°.

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The value of k in the function f(x) = 2x-k is 6.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = 2x + 4

f(x) = 2x-k

Now,

To shift a linear function to the right, we subtract a constant from the input variable x. For example, f (x) = 2x + 4 shifts to the right by 2 units when it is replaced with f (x) = 2 (x - 2) + 4.

In this case, f (x) = 2x + 4 shifts six units to the right when it is replaced with f (x) = 2 (x - k) + 4. To find the value of k, we can equate the expressions inside the parentheses and solve for k:

x - k = x - 6 k = 6

Therefore, by the given functions the answer will be 6.

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#SPJ7

m<ABC=m<A'B'C'

Observe both triangles

<ABC=<A'B'C'

Answer:

p=4a

Step-by-step explanation:

Answer:

75 feet

Step-by-step explanation:

[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]

By using a proportion we can solve this problem.

By isolating x we get x = 2.5(30) so x = 75.

Thus if the wall is 30 in in the model it is 75 feet in actuality.

Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

Answer:

N=21

Step-by-step explanation:

20-3+12/6x2=N

20-3+2x2=N

20-3+4=N

21=N

N=21

Answer:

ac - ad - bc + bd

Step-by-step explanation:

There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.

I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.

Answer:

supplementary

Step-by-step explanation:

angle adds to 180 degrees

Using an exponential function, the recursive formula that describes the fraction of contaminants still remaining in the liquid sample after passing through n filters is given by:

[tex]A[n] = (0.052)^n[/tex]

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, considering an initial fraction of A(0) = 100% = 1, the decay rate is of r = 0.948, hence the formula is:

[tex]A[n} = (1 - r)^n[/tex]

[tex]A[n] = (0.052)^n[/tex]

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