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blsea [12.9K]
3 years ago
11

Solve this step by step solution please

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

the equation does not have like terms so it cannot be simplified further that's it is at its simplest form.

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The coordinate plane below represents a city. Points A through F are schools in the city.
Usimov [2.4K]
Part A. The technique on how to find the equation that only applies to point D and E, is to create a line or curve that only includes two of these points. In this case, I created a random parabola that isolates points C and F from the rest of the points. First, we have to find the equation of the parabola through its general forms:

(x - h)² = +/-4a(y-k)      or    (y - k)² = +/-4a(x - h)

For parabolas drawn like that in the picture, the general form is (x - h)² = +4a(y-k), where the vertex is (h,k) and a is the distance from the vertex to the focus. From the picture, the vertex is at (0,3). Then, we use point D(-2,4) to determine a:

(-2 - 0)² = +4a(4 - 3)
4a = 4

So, the equation of the parabola is:

x² = 4(y - 3)
x² = 4y - 12

Part B. Point D was already verified above. Now for point E(2,4)
x² = 4y - 12
2² ? 4(4) - 12
4 ? 4
4 = 4

Part C. For y < 7x − 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).

3 ? 7(4) − 4
3 ? 24
3 < 24

Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F. 

5 0
3 years ago
Is this a function please help!!!
Svetlanka [38]

Answer:

No

Step-by-step explanation:

There are two values for x=0

5 0
2 years ago
peggy practices her gymnastics routine for a total of 21 hours . each practice session is 1 3/4 hours . how many practice sessio
algol [13]
Peggy has 12 practice sessions

The first step is finding the unit rate. We can do this by evaluating

21/1.75 divided by 1.75/1.75.
When you divide the two, you get 12.

To check your work you do 12(1.75) and you will get 21
8 0
3 years ago
Read 2 more answers
1/6 (15a + 20b) = <br> distributive properties
valentina_108 [34]

Answer:

\frac{15a+20b}{6}     15a+20b/6

Step-by-step explanation:

\mathrm{Apply\:the\:fraction\:rule}:\quad \:a\cdot \frac{b}{c}=\frac{a\cdot \:b}{c}

7 0
2 years ago
Which of the following is the quotient of the rational expressions shown here?
svetoff [14.1K]

For this case we must find the quotient of the following expression:

\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}

Applying double C we have the following expression:

\frac {x (x + 1)} {x-1} =

Applying distributive property to the terms within the parentheses of the numerator we have:

\frac {x ^ 2 + x} {x-1}

Thus, the quotient is given by option A

Answer:

Option A

3 0
3 years ago
Read 2 more answers
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