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Lynna [10]
3 years ago
9

If f(x)=-3x-1, find f(-5)a)16b)15c)-16d)14​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

D) 14

Step-by-step explanation:

f(x) = -3x - 1

f(-5) = -3(-5) - 1

f(-5) = 15 - 1

f(-5) = 14

D) 14

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Graph the function y = __ 2x
katen-ka-za [31]

Answer:

Well, if <em>y </em>is 1

Then the equation would be y = 1 (2x)

So, depending on the answer options. Y would be double of whatever the X value is.

See how 1 X value is worth 2 Y?

Example Attached

6 0
2 years ago
when measuring time 8 concerts are approximately equal to 6 symphonies how many concerts are equal to 28 concerts how many conce
tatiyna
Lets answer this:-

1st lets divide to see how many times 28 goes in 8. And then we will multiply....

28 ÷ 8 = 3.5

Now lets multiply to see how many symphonies are equal to 25 concerts. Lets do it:-

3.5 × 6 = 21

So, 21 symphonies are equal to 28 concerts. 

Lets divide to see how many concerts are equal to 42 symphonies and the multiply to get our final answer. 

42 ÷ 6 = 7

7 × 8 = 56.

So, 56 concerts are equal to 42 symphonies.

Hope I helped ya!! 
3 0
3 years ago
Read 2 more answers
Calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii
Lilit [14]

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)

7 0
2 years ago
Chang drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would he need to drive 357 miles?
qwelly [4]

Answer:

<h2>15.3 gallons</h2><h2 />

Step-by-step explanation:

ratio and proportion

<u>420 miles </u>   =   <u> 357 miles</u>

18 gallons          x gallons

420 (x) = 357 (18)

x = 6426 / 420

x = 15.3 gallons

4 0
3 years ago
Read 2 more answers
Given the graph of a function f. Identify the function by name. Then Graph, state domain &amp; range in set notation:A) f(x) +2B
WARRIOR [948]

The function in the graph has the name of square function.

The domain of a function is all values of x the function can have. The domain of this function is all real numbers:

\mleft\lbrace x\in\R\mright\rbrace

The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:

\mleft\lbrace y\in\R\mright|y\ge0\}

In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:

(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ 2}

Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:

(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ -2}

4 0
1 year ago
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