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KATRIN_1 [288]
3 years ago
10

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3

seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?
11.7 meters
13.8 meters
15.5 meters
17.5 meters
Mathematics
2 answers:
adell [148]3 years ago
5 0

Answer:

15.5 meters

Step-by-step explanation:

g100num [7]3 years ago
5 0

Answer:

15.5 m

Step-by-step explanation:

Since the ball will reach the maximum height of 18 meters after 1 second, meaning after 1 second it will start to go down. So will expect that the height will be lower than 18 m after 1.5 s.

f(x) = –10x2 + 20x + 8

f(x) = –10(1.5^2) + 20(1.5) + 8

f(x) = 15.5 m

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6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is​
AleksandrR [38]

Answer:

y = -\frac{5}{4} x+5

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points.  Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of those points into it, then simplify:

m =\frac{0-5}{4-0} \\m = \frac{-5}{4}

So, the slope is -\frac{5}{4}.

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for m and b in the slope-intercept formula, y = mx + b, to write the equation of the line. Since m represents the slope, substitute -\frac{5}{4} for it. Since b represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

y = -\frac{5}{4} x+5

5 0
3 years ago
Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
diamong [38]

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

5 0
3 years ago
What is 24 – ( n + 3 ) ÷ 2 when n = ?
IrinaVladis [17]

Answer:

16 or 8

Step-by-step explanation:

I'm not sure if this are right

6 0
3 years ago
How do you do this question?
vaieri [72.5K]

Answer:

(-∞, -2), (-2, -0.618), and (1.618, 3)

Step-by-step explanation:

The red plus (+) signs indicate the regions in which the function is concave up, and the red negative (-) signs indicate the regions in which the function is concave down.

Note that the sign of the concavity changes at an inflection point.

Let's examine the intervals given.

(-∞, -2): Yes, concave up.

(-∞, -1.17): No. Concave up in (-∞, -2) but concave down in (-2, -1.17).

(-2, 0): No. Concave down in (-2, -1.17) but increasing in (-1.17, 0.0).

(-1.17, 0.689): Yes. Concave up.

(-0.618, 1.618): No. Concave up in (-0.618, 0.689) but concave down in (0.689, 1.618).

(0, 3): No. Concave up in (0, 0.689), concave down in (0.689, 2.481), and concave up in (2.481, 3).

(2.481, ∞): Yes. Concave up.

The three intervals that are concave up are (-∞, -2), (-1.17, -0.689), and (2.481, ∞).

4 0
3 years ago
Find the slope and y-intercept for 2x+8y=-32 and then graph the line
sammy [17]
2x+8y=-32
8y=-2x-32
y=-1/4x-4

The slope is -1/4, the y-intercept is -4, and I can't graph it for you on here. Type my equation into a graphing calculator and it'll do it for you. (Desmos is a good online graphing calc, and it's free)
8 0
4 years ago
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