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3 years ago

The table shows values for functions f(x) and g(x)

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer: When f(x)=g(x) , x equal to -2 or -1

Step-by-step explanation:

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In the diagram below, DE is parallel to XY What is the value of y?

Lostsunrise [7]

The answer is b . 86

4 0

3 years ago

a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

3 years ago

Which relationships describe angles 1 and 2?

JulsSmile [24]

Answer:

choice 4

Step-by-step explanation:

complementary angles sum to 90

5 0

2 years ago

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The origin

kobusy [5.1K]

Answer:

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = $\frac{4}{3}$ πr³

If the radius is doubled, that is r = 2r , then

V = $\frac{4}{3}$ π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8

5 0

3 years ago

Seven weightlifters are competing in the dead-lift competition. In how many ways can the weightlifters finish first, second, and

Airida [17]

I think the answer is 21 you just multiply the number of weightlifters by the number of places so 7 x 3.

7 0

3 years ago