The equation y = mx + c is satisfied when
x=-1, y = 3, and also when x = 2, y=5
Find the values of m and c.​

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

                                          0

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

Answer: 16,000,000 years

Step-by-step explanation:

The question already states the formula for time so

1600/0.0001= 16,000,000

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

Here, we are required to determine how long each of the options take and which of the 2 options is faster .

Therefore;

Therefore;Option 1: 3.2hours

Therefore;Option 1: 3.2hoursOption 2: 3hours.

Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

For first option;

For second option;

Therefore;

Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Read more:

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-18 + x = -11

Let's add 18 to both sides

x = 7

Answer:

7

Step-by-step explanation:

Step 1:

- 18 + x = - 11

Step 2:

x = - 11 + 18

Answer:

x = 7

Hope This Helps :)

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

Answer:

25.3

Step-by-step explanation:

I just put it in my calculator.

Answer:

x= 12 y= 9

Step-by-step explanation:

x+29=3x+5

-x

29=2x+5

-5

2x=24

/2 /2

x=12

12+29=41

180-41= 139+5= 144÷16=9

Answer:

your answer will be 149/month

Step-by-step explanation:

you wanna ask urself how many months are in 5 years

The answer is: 60 months

then, you wanna divide the cost of the car over 60 months

So:

[tex]$8950/60=149.166[/tex]

round that to the nearest dollar AKA the ones

it'll be 149

and don't forget the unit of time

which is month

$149/month

Answer:

Step-by-step explanation:

9a - 8 = 2a - 2b

7a - 8 = -2b

7a = 8 - 2b

a = (8 - 2b)/7

Answer:

h= -28

Step-by-step explanation:

h+14=-14

 -14    -14

h= -28

Answer: consecutive interior angles

Step-by-step explanation:

Answer:

40x=120

10r=130

Step-by-step explanation:

8(5x=15-5y)= 40x=120-40y

5(8y+26=2r)= 40y+130=10r

40x=120-40y

10r=130+40y

40x=120

10r=130

This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't

   [tex]\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}[/tex]

+  [tex]\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}[/tex]       (adding first equation to second)

   [tex]\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}[/tex]  

Answer:

1,900

Step-by-step explanation:

Answer:

1900 is my pick

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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Answer:

Length of the garden = 13 ft

Width of the garden = 9 ft

Step-by-step explanation:

Let the length of my new garden = l ft

It's given in the question,

width of the garden = 9 ft

Formula to calculate the perimeter of a rectangle is,

P = 2(L + W)

Where L = length of the garden

W = width of the garden

P = perimeter of the garden

Length of the fence = 44 ft

By substituting values in the formula,

44 = 2(l + 9)

22 = l + 9

l = 22 - 9

l = 13 ft

Therefore, length of my new garden = 13 ft

Width of the garden = 9 ft

Answer:

The answer is C. 8

Step-by-step explanation:

First we should reorganize the data set so that it is easier to see the mode:

0, 1, 2, 2, 5, 7, 8, 8, 8, 9

Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:

0 - Once

1 - Once

2 - Twice

5 - Once

7 - Once

8 - Thrice

9 - Once

From this we can see that the value 8 occurs the most.

Therefore, the answer is C. 8

Answer:

30 weeks

Step-by-step explanation:

7.25 x 20 = 1 WEEK

1 WEEK= 145$

4,350 divided by 145=30

30 weeks

Answer:

B, C, D

Step-by-step explanation:

Answer:

all work is pictured and shown

Answer:  

Step-by-step explanation:

x  ← a number

x³  ← the cube of the number

|x³|  ← the absolute value of the cube of the number

|x³| + 5    ← 5 more than the absolute value of the cube of the number

Answer:

42 feet

Step-by-step explanation:

y=mx+b

y=9x+6

9•4 =36 +6= 42

42=(9•4)+6

Answer:

G=2H+6. -(1)

Also, G and H are supplementary angles which mean their sum would be180.

G+H=180

G=180-H. -(2)

From (1)&(2)

2H+6=180-H

3H=174

H=58

Hope it helps :-)

Answer:

no. 4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The domain is the input values

The domain is the resistance values

D: { 4,6,48,80,120}

The range is the output values

The range is the current values

R : { .1,.15,.25,2,3)

Answer:

A reflection across the Y-axis

Step-by-step explanation:

The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

The figure PQRS is reflected on the y-axis and translated left to 1 unit.

Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

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