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alekssr [168]
3 years ago
6

M= -3 b= -1 slope intercept form ​

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

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Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
6 0
3 years ago
What is the sine value of π? <br> -1/2<br> 1/2<br> 0<br> 1
NeX [460]

sin(\pi)=Sin(\pi-0) =Sin 0=0

Option C Sin(\pi)=0

Also, using unit circle, Sin(\pi)=0

4 0
2 years ago
Read 2 more answers
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Law Incorporation [45]

Answer:

what you want help with?

Step-by-step explanation:

7 0
2 years ago
Worth 17 points! Help me please!!! Look in the picture
ivanzaharov [21]

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved <u>300</u>

2. Jeremy worked <u>8</u> weeks in order to save $600

3. For every one week of work, Jeremy saved <u>75</u> dollars

4. If Jeremy works 15 weeks, then he can expect to save <u>1,125</u> dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is <u>$24</u>

2. Saeed paid $32 to have <u>20</u> meals delivered

3. For every meal delivered, Saeed is charged <u>$1.6</u>

4. If Saeed pays $19.20 in delivery fees then he ordered <u>12</u> meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved <u>300</u>

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked <u>8</u> weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved <u>75</u> dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save <u>1,125</u> dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is <u>$24</u>

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have <u>20</u> meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged <u>$1.6</u>

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered <u>12</u> meals.

3 0
3 years ago
1. A costume designer made 10 costumes that each used 5.8 yards of fabric. If she had 238.2 yards of fabric to start with, about
Zinaida [17]
 <span>You only need an estimate? Great. Think of the necessary material as 6 yards, so ten costumes would take 60 yards. Then think of the fabric on hand as 240 yards, so taking 60 yards away from that would leave [an estimated] 180 yards of fabric. 

For an equation, use: 

F" = F' - 5.8 C 

Where F' is the initial fabric stock, F" is the remaining fabric, and C is the count of costumes. 

In exact numbers, the formula works out to: 

F" = 238.2 - (5.8 * 10) 

F" = 180.2 

The estimate was very close. 

Good luck.</span>
4 0
3 years ago
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