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Katarina [22]
2 years ago
13

The graphs of functions f(x) and g(x) = f(x) + k are shown:

Mathematics
1 answer:
iogann1982 [59]2 years ago
5 0

Answer:

9514 1404 393

Step-by-step explanation:

 k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

 g(-2) = 0 = f(0) = f(-2+k)

or ...

 0 = -2+k

 2 = k

The value of k is 2

so the answer to you problem is k=2

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5807 km = 1000 × 5807 m

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for converting cups to gallons

1 cup = 0.0625 gallons

2144 cups = 0.0625 × 2144 gallons

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3 0
3 years ago
HELP WITH NUMBER 13 please
amid [387]

Answer: QE = 10

Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.

This means that E is the midpoint of diagonal SQ.

So we can setup the equation x² + 9x = 4x + 6.

To solve this polynomial equation, set it equal to zero first.

So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0

when we factor the left side of the equation.

So this means that x = -6 or x = 1.

However, -6 will give us a negative length when we plug it in

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However, plugging 1 in will give us 10 as a length so QE = 10.

4 0
2 years ago
SOMEONE PLZ HELP !!!!!!!!!!!!!!!!!
erma4kov [3.2K]

Answer:

It is B.

Step-by-step explanation:

I am 99% sure im correct. dont get mad at me if im not

3 0
3 years ago
Read 2 more answers
Suppose f(x) and g(x) are differentiable functions satisfying f(1) = f′(1) = 2. Let
just olya [345]

Answer:

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3 0
1 year ago
Find the missing side. Round your answer to the nearest tenths.<br><br> X=
Lapatulllka [165]

Answer:

   16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

   tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

    16.4848 ≈ x , round to the nearest tenths

         16.5 ≈ x


3 0
2 years ago
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