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Dmitry_Shevchenko [17]
3 years ago
7

Simplify the expression ⎯(+⎯)

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
I don’t get it I don’t see anything
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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
Decompose these fractions 3/5 7/10
saveliy_v [14]
I think 4/5 because if you multiply you get that!!!!!!
4 0
3 years ago
Read 2 more answers
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 1miles?
slavikrds [6]

1 yard = 3 feet

1 mile = 5,280 feet

So, 1 mile = 5,280/3 yards = 1760 yards

8 0
3 years ago
Please help I dont understand ​
Masteriza [31]

Answer:

I dont know The answer sorry

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
2)<br> Solve the quadratic equation by taking square roots.<br> 4x^2 = 24
Veronika [31]

Answer:

4x²=24

or,x²=24÷4

or,x=root 6

8 0
3 years ago
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