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Serga [27]
3 years ago
15

What is the value of the one real solution for y = x^3 - x^2 + 5

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0
<h2>Answer:</h2>

x=-1.433

<h2>Explanation:</h2>

The easier way to solve this problem is to graph the function using graphing calculator. Here we have the following function:

y=f(x)= x^3 - x^2 + 5

So this is a cubic function that extends to \infty as x tends to \infty and -\infty as x tends to -\infty. This is so because the leading coefficient (the coefficient that accompanies x^3) is positive. Then, this graph will pass through a point in the x-axis which is the value of the only real solution. The graph shows that this value is:

x=-1.433

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The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
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Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

<u>Usi</u><u>ng</u><u> formula</u><u> for</u><u> </u><u>slope</u><u>,</u><u> </u><u>we</u><u> </u><u>get</u><u>;</u>

<u>m =  \frac{y2 - y1}{x2 - x1}</u>

<u>Pu</u><u>t</u><u> all</u><u> </u><u>v</u><u>alues</u><u>.</u>

<u>2 =  \frac{y - 2}{5 - 2}</u>

<u>Simpl</u><u>ify</u><u> </u><u>it</u><u> </u><u>to</u><u> </u><u>get</u><u> </u><u>valu</u><u>e</u><u> of</u><u>"</u><u>y</u><u>"</u><u>.</u>

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5 0
3 years ago
What is the area of this composite shape?
Varvara68 [4.7K]
<h3>Answer:  51 square inches</h3>

=======================================================

Explanation:

There are a few ways to do this. One way is to divide the figure as shown in the diagram below. I divided it into a rectangle and a triangle. Find the area of the rectangle and triangle, then add up those areas to get the final answer.

A = area of rectangle

A = length*width

A = 7*6

A = 42

B = area of triangle

B = 0.5*base*height

B = 0.5*(6-3)*(13-7)

B = 0.5*3*6

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B = 9

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C = A+B

C = 42+9

C = 51 square inches

6 0
3 years ago
Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
lakkis [162]

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

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21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

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= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

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