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aivan3 [116]
2 years ago
12

What is the area of this

Mathematics
1 answer:
AveGali [126]2 years ago
3 0

Answer:

12m

Step-by-step explanation:

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Lee worked a total of 30 hours at two jobs last week her combined pay from the jobs was $240 she earned $9 per hour working at t
Sonja [21]

Answer:she spent 10 hours working in her aunt's store last week.

Step-by-step explanation:

Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

3 0
3 years ago
100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
What is the value of 34 + 3.5(−44÷2)? <br><br>a.−111 <br><br>b.−43 <br><br>c.43 <br><br>d.111
mart [117]

Answer:

b

Step-by-step explanation:

-44÷2=-22

34+3.5*-22= -43

5 0
2 years ago
Are rational numbers closed under squaring?
Aleonysh [2.5K]

Answer:

The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication

Step-by-step explanation:

5 0
3 years ago
How do you simplify 2i&lt;6u
Solnce55 [7]
Divide both sides by 2
i<3u
4 0
3 years ago
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