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2 years ago

Find the function values

Mathematics

1 answer:

babymother [125]2 years ago

4 0

Step-by-step explanation:

f(x)=3x−2 so when the variable x is replace with an actual value ( − 1 ) we get f(−1)=3(−1)−2

=−3−2

=−5

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Write a second inequality with the same meaning -12<= a

alexira [117]

Answer:

a $\geq$ -12 or -48 $\leq$ 4a

Step-by-step explanation:

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3 years ago

What is the y-intercept of the line given by the equation y = 9/2x -4 Enter your answer as an ordered pair.

V125BC [204]

Answer:

(0, -4)

Step-by-step explanation:

I don't quite know how to explain it, but I was taught that the number in the equation that doesn't have a variable, in this case -4, is the y-intercept. The order pair is (0, -4) because a y-intercept is where the line crosses the y-axis and the y-axis is located on the 0 of the x-axis.

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3 years ago

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.

MakcuM [25]

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

$w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16$

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

6 0

3 years ago

A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title

kirill [66]

$y' = \frac{dy}{dx}$

seperable differential equations will have the form
$\frac{dy}{dx} = F(x) G(y)$

what you do from here is isolate all the y terms on one side and all the X terms on the other
$\frac{dy}{G(y)} = F(x) dx$
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
$\int \frac{1}{G(y)} dy = \int F(x) dx

$

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it

In your problem,
$G(y) = \sqrt{1-y^2}

F(x) = 2x$

so all you need to integrate is
$\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx$

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3 years ago

Three words that are synonyms to roots

grigory [225]

Answer:

Essence

Stem

Seed

Step-by-step explanation:

4 0

3 years ago