Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.

The domain of the exponential function 3ˣ is the set of all real numbers (or) (-∞, ∞).

Range is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

We know that the domain of a function y = f(x) is the set of all x-values (inputs) where it can be computed and the range is the set of all y-values (outputs) of the function.

From the graphs of f(x) = 3ˣ, we can see that an exponential function can be computed at all values of x. Thus, the domain of an exponential function is the set of all real numbers (or) (-∞, ∞).

Thus, the domain is the set of all real numbers (or) (-∞, ∞).

Range is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Learn more about exponential function here:

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Question:

The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]

Answer:

[tex]2021^2 - 2022^2 = -4043[/tex]

Step-by-step explanation:

Given

[tex]A^2 - B^2 = (A + B) (A - B)[/tex]

Required

Solve:  [tex]2021^2 -2022^2[/tex]

In: [tex]2021^2 -2022^2[/tex]

[tex]A = 2021; B = 2022[/tex]

[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes

[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]

[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]

[tex]2021^2 - 2022^2 = -4043[/tex]

Answer:

p + (3p - 5) + (4p +6)        Correct

p + (5 - 3p) + (6 + 4p)       Not Correct

p + 11                                 Not correct

8p + 1                                Correct

7p - 1                                 Not correct

Step-by-step explanation:

p + (3p - 5) + (4p +6)

simplified = 8p +1

She will pay $12.75 for each shirt and $12.50 for each pair of jeans.

Step-by-step explanation:

πrxrxh

3.14 x 3.5 x 3.5 x 10 = 384.65

3.14 x 2 x 2 x 6 = 75.36

Answer:

x=3, y=-4

Step-by-step explanation:

3x-7(2x-10)=37

3x-14x+70=37

-11x=37-70

-11x=-33

x=3

y=2(3)-10

y=6-10

y=-4

Answer:

8 more red circles

Step-by-step explanation:

Given that

The ratio of red circles to blue circles is 1:3

Now to make the ratio of red to blue i.e. 3:1

or in other words to make the ratio reverse here we have to add eight more red counters

So 8 more red circles would required to be added

Answer:

2(c - 19)

Step-by-step explanation:

Twice the difference of c  and 19

2 (c - 9)

When it says "twice the difference.." it means you will times the difference of c - 19 by 2

Answer:

Difference of c and 19=c-19

Twice of (c-19)=2(C-19).

So, the final answer is 2(c-19).

Answer:

tanA = 40/9

Step-by-step explanation:

Try to construct a right-angled triangle with it's adjacent side=9 and hypotenuse = 41,

By pyth. theorem, we can get the remaining side (opposite side)

= √(41^2 - 9^2)

= 40

tanA = oppside side/ adjacent side

tanA = 40/9

Answer:

Timothy will have $150 in about 3 to 4 weeks.

Tina will have $150 in about 5 to 6 weeks.

Step-by-step explanation:

I hoped this helped!

Answer:

volume = 504

Step-by-step explanation:

the basic formula for volume is length × width

14 x 3 x 3 x 2 x 2 = 504

Answer:

3.3

Step-by-step explanation:

2,33

Answer:

c. infinitely many solution

Answer: C

Step-by-step explanation:

5 + -2x = 4 + -2x + 4 + x

Reorder the terms:

5 + -2x = 4 + 4 + -2x + x

Combine like terms: 4 + 4 = 8

5 + -2x = 8 + -2x + x

Combine like terms: -2x + x = -1x

5 + -2x = 8 + -1x

Solving

5 + -2x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

5 + -2x + x = 8 + -1x + x

Combine like terms: -2x + x = -1x

5 + -1x = 8 + -1x + x

Combine like terms: -1x + x = 0

5 + -1x = 8 + 0

5 + -1x = 8

Add '-5' to each side of the equation.

5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0

0 + -1x = 8 + -5

-1x = 8 + -5

Combine like terms: 8 + -5 = 3

-1x = 3

Divide each side by '-1'.

x = -3

Simplifying

x = -3

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

Answer:

$800

Step-by-step explanation:

[tex]total \: units \: = \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \: = 1800 \\ 1 \: unit \: = 1800 \div 9 \: = 200 \\ largest \: share \: = 4 \: units \\ 4 \: units \: = \: 200 \times 4 = 800[/tex]

Answer:

Step-by-step explanation:

Explicit formula of the sequence,

[tex]A_n=59+11n[/tex]

[tex]A_1=59+11(1)[/tex]

[tex]A_1=70[/tex]

[tex]A_2=59+11(2)[/tex]

[tex]A_2=81[/tex]

[tex]A_3=59+11(3)[/tex]

[tex]A_3=92[/tex]

[tex]A_4=59+11(4)[/tex]

[tex]A_4=103[/tex]

[tex]A_5=59+11(5)[/tex]

[tex]A_5=114[/tex]

Answer:

The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;

B. Parallelogram

Step-by-step explanation:

The coordinates of the vertices of the given quadrilateral are;

(0, 0), (-2, 3), (7, 0), (5, 3)

Arranging the coordinates according to their y-values and labelled gives;

A(-2, 3), B(5, 3), C(0, 0), D(7, 0)

The graph of the points created with Microsoft Word and Microsoft Excel is attached

From the graph, we have;

Segment AB is parallel to segment CD

The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7

The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7

∴ The length of segment AB = The length of segment CD

The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C

∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)

The quadrilateral is also observed to be slant from the vertical

Therefore the quadrilateral is a parallelogram

Answer:

15

Step-by-step explanation:

Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!

Do nto know but mabue someone will Answer:

Step-by-step explanation:

Answer:

B) The median of the data is 2

Step-by-step explanation:

1,1,1,1,1,2,2,2,2,3,3,3,5,6

The median is 2

Answer:

2

PLZ MARK BRAINLIEST

Step-by-step explanation:

(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2

Answer:

147

Step-by-step explanation:

you would do 180 subtracted by the given measurement.

Answer:

the answer is B

Answer:

For a) The unit rate is 5 dresses per day

For B) The unit rate is 1KM per 6 min

Step-by-step explanation:

100/20=5 dresses

30/5=6 minutes

Answer:

4/8

Step-by-step explanation:

4/8 is equal to 1/2

-

4 is half of 8

Answer:

I think u have to find the distance.

Each point is given a distinct letter and like wise you have to count the distance between the two points given.

Step-by-step explanation:

Like, 1)distance between A and R when A = -11 and R = -9

their distance is 2 units.

Likewise, 2) RY = 6 units

3) EU = 7 units

4) WD = 5 units

5) EL = 12 units

Answer:

this is a Pentagon , have five sides

Answer:

A Pentagon

Step-by-step explanation:

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

300 times

Step-by-step explanation:

52 card deck

half are red

halfare black