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Oxana [17]
3 years ago
14

What is equal to 16x squared-144??

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0
I hope this helps you

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Solve algebraically: x2 − x ≥ 6.
hammer [34]

Answer:

B. x ≥ 3 or x ≤ −2

Step-by-step explanation:

<u>Inequalities</u>

Solve the inequality:

x^2-x\ge 6

Subtracting 6:

x^2-x-6\ge 0

Factoring:

(x-3)(x+2) ≥ 0

We have a product that must be greater or equal to 0. This can only happen if:

x - 3 ≥ 0  and x + 2 ≥ 0

Or:

x - 3 ≤ 0  and  x + 2 ≤ 0

The first couple of conditions yields to:

x ≥ 3 and x ≥ -2

Which lead to the solution

x ≥ 3       [1]

The second couple of conditions yields to:

x ≤ 3 and x ≤ -2

Which lead to the solution

x ≤ -2        [2]

The final solution is [1] or [2]:

Answer:

B. x ≥ 3 or x ≤ −2

5 0
3 years ago
Use the net to find the surface area of the prism.<br><br> Give your answer in terms of pi.
anygoal [31]

Answer:

120 pi yd²

Step-by-step explanation:

2 circles * pi (5)² = 50 pi

rectangle is 7 * 2 pi (5) = 70 pi

50 pi + 70 pi = 120 pi

5 0
3 years ago
Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is
Simora [160]
For any points (x1, y1) and x2, y2)
the slope od the line joining them is 
(y2-y1)/(x2-x1)

I would have say Slope = (5-1)/(1-0)= 4

so the rise = 5-1, run = 1-0

which is still 4
6 0
3 years ago
Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

y = -0.0976(x - 10)^2 + 18, x \geq 0

The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

Since the initial price was of $8 per share, we have that:

8 = a(0 - 10)^2 + 18

-82a = 8

a = -\frac{8}{82}

a = -0.0976

Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

6 0
3 years ago
What is an equation of the line that passes through the point (-6, -1) and is perpendicular to the line 6x - y = 7? ​
PIT_PIT [208]

Answer:

y=-1/6x-2

Step-by-step explanation:

3 0
3 years ago
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