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Vikki [24]
3 years ago
5

Write an equation in slope-intercept form for the line with slope -8 and y -intercept 9.

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:  y = -8x + 9

Step-by-step explanation:

The slope intercept form formula says that y=mx +b  where m is the slope and b is the y-intercept so input  the value for m and b to write the equation.

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Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 m
Sholpan [36]

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

6 0
3 years ago
Please help I don't know how to do this!
netineya [11]
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x

The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3. 
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x          Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
 
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary. 
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
5 0
3 years ago
Sara had 94 dollars to spend on 8 books. After buying them she had 14 dollars. How much did each book cost
cestrela7 [59]

Answer: $10

Step-by-step explanation:

Let's analize the information given: We know that  she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:

Total\ spent=\$94-\$14\\Total\ spent=\$80

Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

cost\ of\ each\ book=\frac{Total\ spent}{8}\\\\cost\ of\ each\ book=\frac{\$80}{8}\\\\cost\ of\ each\ book=\$10

3 0
3 years ago
10÷652.3 please help me​
professor190 [17]

Answer:

0.01533036946190

Step-by-step explanation:

10÷652.3

0.01533036946190

6 0
3 years ago
Read 2 more answers
Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
horrorfan [7]
The answer is $3.53
$5.88 * 0.60 = 3.528
5 0
3 years ago
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