A car travels 420 miles in 6 hours. What is the unit rate?

Step-by-step explanation:

Hey there!

Here,

[tex] = - 6 + ( - 4) + 3 [/tex]

While working with them remember some rules;

Likewise in your question,

[tex] = - 6 - 4 + 3[/tex]

[tex] = - 10 + 3[/tex]

[tex] = - 7[/tex]

Hope it helps...

Answer:

-88

Step-by-step explanation:

-a² + 4ab - b²

Substitute the variables with the numbers given.

-2² + 4(2×-6) - -6²

-2² + 4(-12) - -6²

-4 + 4(-12) - 36

-4 + -48 - 36

-52 - 36 =

-88

(im starting 8th grade tommorow and im doing this cause im bored and i should practice xD)

Answer:

Step-by-step explanation:

x = -5

-5 < -4  and if x<-4 then  f(x) = - 2x - 8

so:

    f(-5) = - 2(-5) - 8 = 10 - 8 = 2

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

[tex]3x+14=7x-10\\3x+24=7x\\24-4x\\x=6[/tex]

Answer:

x=-0.4

Step-by-step explanation:

ok you have to visualize this line

P                         Q                           R

O---------------------O-----------------------O

        3x+14                    7x-10

so to make the equation of PR you would add PQ and QR together.

3x+14+7x-10

add your like terms

10x+4

solve for x

10x+4=0

subtract 4 from each side

10x=-4

divide both sides by 10

x=-2/5       fraction

x=-0.4       decimal

Answer:

y < -3/2x -2

Step-by-step explanation:

Used Desmos graphing calculator

Answer:

Step-by-step explanation:

I'm just going to go out on a limb here and assume that those are a set of poorly made parenthesis. This, then, would be your equation:

[tex]x+\frac{x}{7}+\frac{1}{11}(x+\frac{x}{7})=60[/tex]

The first thing to do is distribute through the parenthesis to get:

[tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex]

Next is to get rid of the denominators by multiplying by the LCM of 77:

[tex]77(x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60)[/tex] which gives you:

77x + 11x + 7x + x = 4620 and

96x = 4620 so

[tex]x=\frac{385}{8}[/tex]

Answer:

1) 5

2) 5.30..... etc

3) 4.65

4) 5

5) 5 this is the answer to all your questions

Answer:

The first, fourth, and fifth one.

Answer:

B or 2 topical

Step-by-step explanation:

Hope this helps :D

and feel free to click that thanks button

Answer:

$42

Step-by-step explanation:

12*3=36+6=42

Answer:

[tex]3m-3[/tex]

Step-by-step explanation:

So we have the expression:

[tex]-(2m+3)+5m\\[/tex]

Distribute the negative:

[tex]=-2m-3+5m[/tex]

Combine like terms:

[tex]=3m-3[/tex]

And we're done!

Answer:

-26

Step-by-step explanation:

the answer is -26 hopefully this helps

Answer:

11:07 Pacific Time

Step-by-step explanation:

it depends on your time zone :)

Step-by-step explanation:

1. 0.6

2. 0.9

3. 0.13

4. 0.4

Answer:

yes

Step-by-step explanation:

yes

Answer: not sure if that is a b but i beleive it is so

bh+hr=25

move all terms to the left side and set equal to 0. then set each factor equal to zero.

h= [tex]\frac{25}{b+r}[/tex]

isolate the variable by dividing each side by factors that dont

contain the variable.

r=[tex]\frac{25}{h}-b[/tex]

x=[tex]\frac{r-h}{y}[/tex]

isolate the variable by dividing each side by factors that dont

contain the variable.

h=-xy+r

solve for r by simplifieng both sides of the equation, then isolating the variable.

r=xy+h

Answer:

1A. h = 25/(b + r)

1B. r = 25/h - b

2A. h = r - xy

2B. r = xy + h

Step-by-step explanation:

1. bh + hr = 25

A. h(b + r) = 25

h = 25/(b + r)

B. h(b + r) = 25

b + r = 25/h

r = 25/h - b

2. x = (r - h)/y

A. xy = r - h

h + xy = r

h = r - xy

B. xy = r - h

r = xy + h

Answer:

x = 35°, Angle 1 = 145°, Angle 2 = 35°

Step-by-step explanation:

In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:

[tex](4x+5)+x=180^{\circ}\\5x+5=180^{\circ}\\5x=175^{\circ}\\x=35^{\circ}[/tex]

Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =

[tex]4x-5^{\circ}\\4(35^{\circ})+5^{\circ}\\140^{\circ}+5^{\circ}=145^{\circ}[/tex]

To ensure our answers make sense, we verify they equal 180°:

[tex]145^{\circ}+35^{\circ}=180^{\circ}[/tex]

Answe

x = 35°, Angle 1 = 145°, Angle 2 = 35°

Step-by-step explanation:

Step-by-step explanation:

In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:

Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =

To ensure our answers make sense, we verify they equal 180°:

Step-by-step explanation:

Check the above photos...

Get the two equations for the lines into slope-intercept form. ...

Set the two equations for y equal to each other.

Solve for x. ...

Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

Answer:

2

Step-by-step explanation:

The rate of change in function f(x) from x = a to x = b is (f(b) - f(a))/(b - a).

rate of change = (7 - 3)/(2 - 0) = 4/2 = 2

Answer:

rate of change = 2 unit rise per 1 unit run

Step-by-step explanation:

The rate of change of two points on a graph is represented by the slope of a line connecting the two points.

here we are given the coordinates of the two points, hence we can simply apply the slope formula for a line given two points (see attached)

for points (0,3) and (2,7)

x₁ = 0, y₁ = 3, x₂ = 2, y₂ = 7

substituting these into the formula

rate of change

= slope, m

= (y₂-y₁) / (x₂-x₁)

= (7 - 3) / (2 - 0)

= 4 / 2

= 2

Answer:

The domain of g(x) is -3 to infinity

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

Determine the domain of g(x)

We start by expressing the content of the square root in the following form:

[tex]x + 3 \geq 0[/tex]

Subtract 3 from both sides

[tex]x + 3 -3 \geq 0 - 3[/tex]

[tex]x \geq 0 - 3[/tex]

[tex]x \geq - 3[/tex]

This can be expressed using interval notation as follows:

[tex]\{x: -3, infiniti\}[/tex]

Hence, the domain of g(x) is -3 to infinity

Answer:

All real values of x such that x ≥ −3

Step-by-step explanation:

Answer:

math

Step-by-step explanation:

Answer:

2n + 7q

Step-by-step explanation:

1). add together all of the numbers that have

the variable u (9u - 7u - 2u)

2). add together all of the numbers that have the variable n (-4n + 6n)

3). add together all of the numbers that have the variable q (6q + q)

4). put your answers to 1-3 together in a phrase and there's you're answer!

Answer: k = 84

Step-by-step explanation:

0.12k = 10.08

k = 84                       Divide 0.12 to both sides

Answer:

k=84

Step-by-step explanation:

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

Each point is moved 4 units up and 5 units right, as required by the problem statement.

Coordinates are positive in the "up" and "right" directions, so we take "4 units vertically" to mean +4 units, or 4 units up. Likewise, we take "5 units horizontally" to mean +5 units, or 5 units to the right.