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3 years ago

Which function is represented by the graph

Mathematics

2 answers:

tatyana61 [14]3 years ago

4 0

It’s the forth one

The answer is -|x-4|.

photoshop1234 [79]3 years ago

4 0

Answer:y=-|x-4|

Step-by-step explanation:

we know the graph of y=|x| touches at x=0 and opens upward towards y axis

but this graph is facing downwards therefore it should be of form

y=-|x|

but it touches the x axis at x=4

therefore the graph is represented by

y=-|x-4|

4 is added inside the mod because it intersect x axis at x=4

The graph would be y=-|x-4|+1 if it shifts 1 unit upwards.

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In a toy store, the ratio of the number of dolls to teddy bears is 6:7. If the store has 120 dolls, how many teddy bears are the

VMariaS [17]

Dolls : teddy bears
6 : 7

if 120 dolls are equal to 6 portions,
7 portions,
(120/6) * 7
140 teddy bears

6 0

3 years ago

If r = 5 units and x = 8 units, then what is the volume of the cylinder shown above?

bazaltina [42]

it’s a if Iam not mistaken

3 0

3 years ago

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

Helga [31]

Answer:

$\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n$

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function f at the number a is:

$f(x) = \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n$

$f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ...$ ............ equation (1)

Now we will find the function f and all derivatives of the function f at a = -2

f(x) = 10/x f(-2) = 10/-2

f'(x) = -10/x² f'(-2) = -10/(-2)²

f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function f at a = -4 means that we substitute the value of each function into equation (1)

So, we get $\sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}}$ Or $\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n$

4 0

3 years ago

A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her

Ivahew [28]

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

7 0

2 years ago

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

3 years ago