The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour

Answer:

Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.

Step-by-step explanation:

Answer:

Option D: 5.98x Coconuts

Answer:

The second option

Step-by-step explanation:

Since CD is a perpendicular bisector of AB, D is equidistant from both A and B

Answer:

B.

Step-by-step explanation:

A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.

Answer:

1) the football already reached the ground

2) t = 0.625 seconds

3) t = 1.46 seconds

Step-by-step explanation:

Data

1) time, t = 2.25 s

To relate these variables we need to use the next equation:

H = Hi + Vi*t - 1/2*g*t²

H = 5 + 20*2.25 - 1/2*32*2.25²

H = -31 ft

that is, 31 ft under the line of reference. This means that the football already reached the ground

2) At the highest point the final velocity (Vf) is zero.

To relate these variables we need to use the next equation:

Vf = Vi - g*t = 0

Vi = g*t

t = Vi/g

t = 20/32

t = 0.625 s

3) When the football hits the ground, ΔH = -5 ft. Then:

ΔH = Vi*t - 1/2*g*t²

-5 = 20*t - 1/2*32*t²

0 = -16t² + 20t + 5

Using quadratic formula:

[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]

[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]

[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]

[tex] t_1 = -0.21 [/tex]

[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]

[tex] t_2 =1.46 [/tex]

The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Answer:

on edge

the first one is x=0 or a

and

all real numbers or C

Step-by-step explanation:

(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1

Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers

Answer:

First answer is A

Second answer C

Step-by-step explanation:

Edge 2020

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

Answer:

The answer is C = 36n30

Step-by-step explanation:

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

Answer: the domain is all real numbers.

The base must be less than 1 and greater than 0.

The function has a consumer multiplicative rate of change.

Step-by-step explanation:

Answer:

A, D, E

Step-by-step explanation:

100% on edg

Answer:

In this way it is proved

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”

Answer:

Step-by-step explanation:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

Answer:

Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.

Step-by-step explanation:

As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:

$21+$25+$16+$18= $80/4= $20

As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.

Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.

Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.

Answer:

2/3x−6

Step-by-step explanation:

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

Answer:

5(4x+3)

5×4x + 5×3

20x+15

Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Took the test

Answer:

Yes Yes No Yes

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13

Answer:

Exact answer: [tex] \sqrt{29} [/tex]

Approximate answer: [tex] 5.385 [/tex]

Step-by-step explanation:

Start at the bottom vertex.

Go up 5 units, then go left 2 units. Now you're at the left vertex.

The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.

We now use the Pythagorean theorem to find the length of the hypotenuse.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 2^2 [/tex]

[tex] c^2 = 25 + 4 [/tex]

[tex] c^2 = 29 [/tex]

[tex] c = \sqrt{29} [/tex]

[tex] c \approx 5.385 [/tex]

Answer:

-180 is your answer.

Step-by-step explanation:

Answer: -180

Step-by-step explanation: I uh, used the calculator app on my phone.

Answer:

a) 46

Step-by-step explanation:

The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value

180-134=46

Answer:

boundary lines are parallel

Step-by-step explanation:

When there are no solutions  to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts.  This happens when the boundary lines are parallel

Answer:

The boundary lines are parallel