Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?

А. m(x) = 3x + 3

B. m(x) = -3x + 5

C. m(x) = -3x - 3

D. m(x) = 7x + 5​

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated

Answer:

1) y = 3/2 x +½

Step-by-step explanation:

y-2 = 3/2(x-1)

y = 3/2x -3/2 +2

y = 3/2x +½

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

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Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Answer:

234.98

Step-by-step explanation:

in class notes

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Answer:

this answer is for functional value only

I hope this is help full to you

Answer:

tan(θ) = 12/5

Step-by-step explanation:

According to Pythagoras,

sin(θ) = Opposite / Hypotenuse

tan(θ) = Opposite / Adjacent

(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2

or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2

or, (Adjacent)^2 = 13^2 - 12^2

or, (Adjacent)^2 = 169 - 144

or, (Adjacent)^2 = 25

or, Adjacent = 5

So, tan(θ) = 12/5

Hope this will help. Please mark me brainliest.

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

Answer:

here wo go with the answerrrrrrrrrrr

Answer:

(a) [tex]10\frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]

[tex]\frac{40+308+15}{35}[/tex]

[tex]\frac{363}{35}=10\frac{13}{35}[/tex]

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

Step-by-step explanation:

everything can be found in the picture

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Answer:

Each game cost $ 7.

Step-by-step explanation:

Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:

(42 - (2 x 3.50)) / (2 + 3) = X

(42 - 7) / 5 = X

35/5 = X

7 = X

Therefore, each game cost $ 7.

Answer: 10 in.

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Answer:

x = 11

Step-by-step explanation:

(7x + 5)° = (3x + 19)° + (2x + 8)°

7x + 5 = 5x + 27

2x = 22

x = 11

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

To find the volume of a cylinder, you can use the formula:

Volume = π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:

Radius = Diameter / 2 = 10 inches / 2 = 5 inches

Now we can substitute the values into the formula to calculate the volume:

Volume = π * (5 inches)^2 * 12 inches

Using the value of π as approximately 3.14159, we get:

Volume ≈ 3.14159 * (5 inches)^2 * 12 inches

Volume ≈ 3.14159 * 25 square inches * 12 inches

Volume ≈ 942.4788 cubic inches

Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

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Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

function A y-int: (0, -86)

function B y-int: (0, -4)

Answer:

The first one

Step-by-step explanation:

Make 3x+6 into 3(x+2)

Separate x²+5x+6 into (x+2)(x+3)

Cross out both x+3

6x÷3

Put x+2 together to make (x+2)²

[tex]\frac{2x}{(x+2)^2}[/tex]

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

==========================================================

Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation: