The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

Answer:

X= -45

Step-by-step explanation:

Subract 23 from both sides to solve for x.

Answer:

x = -45

Step-by-step explanation:

x + 23 = -22

x = -22-23

x = -45

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Answer:

5

Step-by-step explanation:

Answer:

-231

Step-by-step explanation:

21, 12, 9, 3,...

Below is image

Answer:

-357

Step-by-step explanation:

a + (n-1)d

21+(42)(-9)

21-378

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant =  5  & 45

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)

Coefficient of n = 5

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Constant =  5  & 45

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

Answer:825

Step-by-step explanation:

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

Answer:

Slope = 1/2

Whole equation: y = 1/2x - 2

Step-by-step explanation:

Equation: y = mx + b

(3 , 4) and (0 , -2)

[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]

y = 1/2x + b

---------------------------------------------------------------------------------------------

-2 = 1/2(0) + b

-2 = b

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

C. =10x+1

y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

r=21.3 h=32

Step-by-step explanation:

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi