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Sphinxa [80]
3 years ago
15

ASAP HELP FOR NUMBER 13!!

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
Problem 13a

Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.

Another point on this line is (3,8) which is drawn from the second column.

Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2

Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2

Plug those into y = mx+b and we get y = 2x+2

Answer: y = 2x+2

==============================================
Problem 13b

(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20

Another point on this line is (3,8) as drawn from the second column

Slope: 
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4

Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20

Answer: y = -4x+20

==============================================
Problem 13c

(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.

Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5

Note: the fraction 3/2 is equivalent to the decimal form 1.5

Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2

So we can now update y = mx+b to y = 1.5x+2

Answer: y = 1.5x+2

Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write y = \frac{3}{2}x+2
==============================================
Problem 13d

(0,20) is on the line. So the y intercept is 20, indicating that b = 20

(3,11) is also on the line

Again as done with 13a-13c, I'm only looking at the first two columns. 

Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3

Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier

Answer: y = -3x+20
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Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

s=93\log d+65

Compute the value of <em>d</em> for <em>s</em> = 280 as follows:

        s=93\log d+65

     280=93\log d+65

93\log d=280-65\\93\log d=215

   \log d=2.312\\

        d=10^{2.312}\\d=205.035\\d\approx 205

Thus, the distance the tornado traveled was approximately 205 miles.

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3 years ago
8-2b=-2/3(12b+6) solve
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We have to mutiply factor -2/3 times every agument from the parenthesis.
8-2b=- \frac{2*12b}{3}- \frac{2*6}{3}   \\ 8-2b= -8b-4 \\     /+8b
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2 years ago
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Thomas made 8700 ml of tomato soup.he packed 1.6L of the soup in his kids lunches .he then froze half of the remaining soup.
kenny6666 [7]

Answer: 3550

Step-by-step explanation:

1.6L equals 1600mL

8700-1600=7100 remaining

7100 divided by 2 = 3550

7 0
2 years ago
1. round the result to 2 decimal places. -0.9x+2.8=4.1
lora16 [44]
1. <span>-0.9x+2.8=4.1
First subtract 2.8 from both sides.
-0.9x = 1.3
Now divide both sides by -0.9.
x = -1.4444..
This can be rounded to -1.44
</span><span>c) -1.44

2. Jordan has 650 pennies. He'll give 85 to his brother and split the rest with his sister.
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5 0
3 years ago
The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, wha
daser333 [38]

Answer:

57 cm²

Step-by-step explanation

<em>l = length</em>

<em>w = width</em>

<em>p = perimeter</em>

<em />

<em>(5x - 1) = length</em>

<em>(11 - 2x) = width</em>

<em>44 = perimeter</em>

<em />

<em>Formula for the perimeter of a rectangle:</em>

<em>l + l + w + w</em>

<em>2l + 2w = p</em>

<em />

<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>

<em></em>

<em>2(5x - 1) + 2(11 - 2x) = 44</em>

<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>

6x + 20 = 44

6x = 24

x = 4

<em>Plug x = 4 back into the length and width.</em>

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

<em>Area for a rectangle: Length × Width = Area.</em>

<em>19 × 3 = 57 cm²</em>

<em>This is all in cm so answer with cm²</em>

5 0
3 years ago
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