Graph the line with slope −1 and y-intercept 3.

Answer:

7670

Step-by-step explanation:

Answer:

345,000,000 =3.45 x 10^8

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!

explanation:

you have 345,000,000

Keep moving the dot till you have 3.45

Then count how many spaces you've moved

To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer

Answer:

1. y-intercept = -7

equation: y = 5x - 7

2. y-intercept = -3

equation: y = -2x - 3

3. slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).

1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:

y = mx + b

3 = 5(2) + b

3 = 10 + b

-7 = b

The y-intercept is -7.

Now that we know the slope and the y-intercept, we can write the equation:

y = 5x - 7

2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:

y = mx + b

5 = -2(-4) + b

5 = 8 + b

-3 = b

The y-intercept is -3.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x - 3

3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:

(3, -5) = (x1, y1)

(6, 3) = (x2, y2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-(-5)}{6-3}[/tex]

Simplify:

3 - (-5) = 3 + 5 = 8

6 - 3 = 3

[tex]\frac{8}{3}[/tex]

The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].

I hope this helps. :)

Answer:

I would say A because the real answer is 23.477

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Multiply first and then divide and then you add the numbers together.

Answer: D

Step-by-step explanation:

3x-4 = -22

3x = -18

x= -6

Answer:

X = -6

Step-by-step explanation:

3x - 4 = -22

3x = -22 + 4

3x = -18

x = -18/3

x= -6

Answer:

(2x+1)^2

Step-by-step explanation:

Answer: This is false.

Step-by-step explanation:

The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.

Answer:

3

Step-by-step explanation:

Answer:

15 people

Step-by-step explanation:

Answer:

2/21

Step-by-step explanation:

Answer:

If i did this right the answer would be f(2)=g(2)

both numbers are 2 and the numbers are (x) so x=2

Step-by-step explanation:

Hope this helps Kas <33

Answer:

A: equiangular   S: Right

Step-by-step explanation:

Answer:

y=3x+3

Step-by-step explanation:

y=mx+b is slope intercept form

to find the slope(m) you need to plug your numbers into the equation y(2)-y(1)/x(2)-x(1)

which means subtract the Y's together and the X's together and put the quotient of the Y's on top. Note that you have to choose a set of number to be the first group and the other set as the second group

so (0-6)/(-1-1) = -6/-2 = 3

3 will be your slope. plug that and a set of your numbers into the slope intercept equation

0=3(-1)+b

0=-3+b

3=b

y=3x+3

Answer:

1. m=5

2. 2(8x+11)

3.m=7

Step-by-step explanation:

Complete question :

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y = 1.772 +334x

Answer:

B. There were approximately 1.772 eagle breeding pairs in 1986

Step-by-step explanation:

Given the regression equation : y = 1.772 +334x

Recall the general form of a linear regression equation :

y = mx + c

y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope

x = number of years after 1986 ; y = number of bald eagle pairs.

The intercept is a constant value at time t = 0

For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772

Answer:

d is answer have a great day

Answer: 306 inches or 25.5 feet or 8.5 yards.

Step-by-step explanation:

Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.

1 feet = 12 inches

length of ribbon Tino has = 12 x 7.5 = 90 inches

1 yard = 36 inches

length of ribbon Baxter has = 3.5 x 36 = 126 inches

Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)

= (90+90+126) inches

= 306 inches

In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex]   [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]

[tex]=\text{25.5 feet}[/tex]

In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex]    [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]

[tex]=\text{ 8.5 yards}[/tex]

Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.

Answer:

1/3 cups of vanilla per teaspoon

Step-by-step explanation:

Answer:

Amount deposit each month = $365.26

Step-by-step explanation:

Given:

Amount deposit = $15,000

Rate = 6% = 6% / 12 = 0.005

Number of time = 3 x 12 = 36

Find:

Amount deposit each month

Computation:

Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]

Amount deposit each month = $365.26

The amount needed to be deposited each month is;

P ≈ $393.23

We are given;

APR = 6% = 0.06

Total accumulated amount; A = $15000

number of years; n = 3 years

To calculate the amount needed to be deposited each month, we will use the formula;

A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)

Plugging in the relevant values gives;

15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)

Rearrange to get;

[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12

⇒ [P(1 + 0.005)³⁶ - 1] = 75

⇒ P(0.19073) = 75

⇒ P = 75/0.19073

⇒ P ≈ $393.23

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Answer:

-5,0,0.56,12%,1/2

Step-by-step explanation:

Answer:

option 3

both (3, 2) and (2, -1) are solutions

Answer:

C

Step-by-step explanation:

-3x + y = -7

use (3, 2) as plug ins for x and y

-3x + y = -7 (rewrite)

-3 x 3 + 2 = -7 (solve)

-3 x 3 = -9

-9 + 2 = -7

same with the other numbers (2, -1)

but i'm lazy

Answer:

$0.36

Step-by-step explanation:

Let the cost per unit of electricity  = e

Let the cost per unit of gas  = g

  a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390;

   600e + 100g  = 390  ----- i

  400 units of electricity and 250 units of gas were used for a total cost of $326.

     400e + 250g  = 326 ----- ii

Now we have two equations, and we solve for g;

     600e + 100g  = 390  ----- i

     400e + 250g  = 326 ----- ii  

Multiply equation i by 4 and equation ii by 6;

    2400e + 400g  = 1560 ---- iii

    2400e + 1500g  = 1956 ---- iv

Subtract equation iii from iv;

                  1100g  = 396

                       g  = [tex]\frac{396}{1100}[/tex]   = 0.36

Cost per unit of gas $0.36

Answer:

A = π(14t)²

Step-by-step explanation:

The radius is increasing at the rate of 14 cm per second.

We need to find the formula for the area A of the circle as the function of time t.

Initial area of the circle,

A = πr², where r is the radius of the circle

Area as a function of t will be :

A = π(14t)²

Here, 14t is the radius of the wave.

We want to get the area function given that we know how the radius increases with time.

The function is:

A(t)  = (615.44 cm^2)*t^2

Here we know that the radius of a circular wave increases by 14cm each second.

Then we can write the radius as a function of time as:

r(t) = 14cm*t

where t is the time, in seconds, since the wave begins.

Now, remember that the area of a circle of radius r is given by:

A = pi*r^2

where pi = 3.14

Replacing r by the radius function, we get:

A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2

This is the area function we wanted to get.

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