Solve the slope for the table.

Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

       Rise (-1-(7) = -8   Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.  

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

  y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

The coordinates of the y intercept are (0,3).

The coordinate of the y-intercept of the line is (0, 3)

The equation of a line in slope-intercept form is expressed as y = mx + b.

where:

Given the coordinate points (-1, 7) and (1, -1).

Get the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

Get the y-intercept:

Recall that y = mx + b

Using the coordinate point (1, -1) and m = -4

-1 = -4(1) + b

-1 = -4 + b

b = -1 + 4

b = 3

The equation of the line is y = -4x + 3

The y-intercept occurs at the point where x = 0

y = -4(0) + 3

y = 0 + 3

y = 3

Hence the coordinate of the y-intercept of the line is (0, 3)

Learn  more on y-intercept here: https://brainly.com/question/25722412

Answer:

B

Step-by-step explanation:

A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.

Answer:

   AC = 24

Step-by-step explanation:

DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...

  2·DE = AC

  2(2x -14) = 3x -15

  4x -28 = 3x -15 . . . . . eliminate parentheses

  x = 13 . . . . . . . . . . . . . add 28-3x to both sides

AC = 3x -15 = 3(13) -15

AC = 24

_____

Additional comment

DE = 2(13) -14 = 12, half the length of AC.

Answer:

x = 10

Step-by-step explanation:

The value x is 10 units.

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

For more references on midsegments, click;

https://brainly.com/question/2273557

#SPJ1

Answer:

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

As per given we can set the following system:

Solving this we get:

Answer:

a. $ 583

b. $ 30,316

Step-by-step explanation:

a). 0.11 * 5,300= $ 583 per week( commission )

b). In 2011, 52 weeks.

52* 583 =$ 30,316

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

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Answer:

Umbrella goes up when rain comes down.

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Answer:

2

Step-by-step explanation:

Turn 3 2/3 into improper fraction: 11/3

11/3-5/3=6/3=2

Answer:

Calculator

Step-by-step explanation:

Fraction: 163/900

Decimal: 0.1811111

Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Answer:

797600km, 9172400 km, 2293100 km

Step-by-step explanation:

a. to find the amount of canada covered in fresh water, multiply 9970000 by 0.08 to get 797600km

b. the amount not covered by fresh water is 9970000-797600 which equals 9172400 km

c. multiply area of canada by 0.23 which is 2293100 km

just in case you might want to double check the zeros to make sure i did it right

Answer:

a. 797,600 km²

b. 9,172,400 km²

c. 2,293,100 km²

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent into a decimal number by moving the decimal point of the percent 2 places to the left. For example, 42% = 0.42; 7% = 0.07

Part a.

8% of 9,970,000 km²

Step 1. Multiply the percent by the number

8% of 9,970,000 km² = 8% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

8% of 9,970,000 km² = 8% × 9,970,000 km² = 0.08 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.08 × 9,970,000 km² = 797,600 km²

Answer: a. area covered in fresh water is 797,600 km²

Part b.

Subtract the area of part a. from the total area of Canada.

9,970,000 km² - 797,600 km² = 9,172,400 km²

Answer: b. area not covered in fresh water is 9,172,400 km²

Part c.

Tundra is 23% of total area.

23% of 9,970,000 km²

Step 1. Multiply the percent by the number

23% of 9,970,000 km² = 23% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

23% of 9,970,000 km² = 23% × 9,970,000 km² = 0.23 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.23 × 9,970,000 km² = 2,293,100 km²

Answer: a. area covered in tundra is 2,293,100 km²

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Answer:

19

Step-by-step explanation:

31 + 49 = 80

80 - 61 = 19

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Answer: 6 & 10

Step-by-step explanation:

6 and 10 are 2 units away from a positive 8 on the number line

Answer:

x = -4

Step-by-step explanation:

x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°

x + 63 + x + 125 = 180°

2x  + 188 = 180

2x = -8

x = -4

-Chetan K

Answer:

x=-4

Step-by-step explanation:

(x+125)+(x+63)=180

125+63=188

180-188= -8

-8/2= -4

Answer:

[tex]y=\frac{1}{2} x+4[/tex]

Step-by-step explanation:

so the last option

hope this helps!

Answer:

79.2 kilometres per hour

Step-by-step explanation:

1 km = 1000 m

1 hr = 3600 sec. To convert km/hr into m/sec,

We multiply the speed which in this case is 22m/s

by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.

Answer:

[tex]- \frac{5}{4}[/tex]

Step-by-step explanation:

Use the slope form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = slope

Let:

[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]

Plug in the corresponding numbers to the corresponding variables, and solve:

[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]

[tex]- \frac{5}{4}[/tex] is your answer.

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]

Answer:

A

Step-by-step explanation:

To change a fraction to a percentage, multiply by 100%

[tex]\frac{30}{200}[/tex] × 100%

= 0.15 × 100%

= 15% → A

Answer:

The shape of the pyramid does not provide information on population growth