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alisha [4.7K]
3 years ago
7

Consider the equation x^2 = 36. Which of the statements below are true? Select all that apply.

Mathematics
2 answers:
Dmitry [639]3 years ago
4 0

Answer:

x = 6 and x = -6

Step-by-step explanation:

timurjin [86]3 years ago
4 0

you chose the correct answer becuase 6 squared is the same thing as 6×6 and they both equal 32

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Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
Roman55 [17]

Answer:

(f-g)(x)= x^2-4x-5

Step-by-step explanation:

We have the two functions:

f(x)=x^2-3x-10\text{ and } g(x)=x-5

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}

Simplify:

\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}

Therefore:

(f-g)(x)= x^2-4x-5

8 0
2 years ago
Read 2 more answers
A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

=15m-12m=3m

5 0
3 years ago
Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.
irakobra [83]
Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.
7 0
3 years ago
Find the correct value of x
bearhunter [10]

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Step-by-step explanation:

Right angle = 90

90 - 47 = 43

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3 0
3 years ago
A family buys 5 airline tickets online. The family buys travel insurance that costs $19 per ticket. The
seropon [69]

Answer:

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Step-by-step explanation:

19*5 = 95

915 - 95 = 820

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The price of one ticket is $164.

Hope this helps. Have a nice day.

8 0
3 years ago
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