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ollegr [7]
2 years ago
6

Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x

seconds after Amir threw it, is modeled by h(x)=-(x+1)(x-7), left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 7, right parenthesis How many seconds after being thrown will the ball reach its maximum height?

Mathematics
2 answers:
hoa [83]2 years ago
7 0

Answer:

3 seconds

Step-by-step explanation:

We need to find where the maximum i.  The maximum or minimum  is at the vertex.  We know where the zero are because the equation is written in the zero form

We know the vertex is 1/2 way between the zeros

h(x)=-(x+1)(x-7)

Using the zero product property

x+1 = 0  x-7 =0

The zeros are at -1 and 7

Adding the two together and dividing by 2

(-1+7)/2 = 6/2 =3

The maximum is at 3.  We know it is the maximum because the equation is pointing down because of the negative out front.

Marrrta [24]2 years ago
5 0

When we graph the function, it has a vertex of (3, 16).

The maximum of the graph is the highest "x" value on the graph which is 3.

Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.

A graph will be shown below showing the function and vertex.

Best of Luck!

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andrezito [222]
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
5 0
3 years ago
Read 2 more answers
What is the measure of YB
Ivenika [448]

Answer:

what do y and b stand for

Step-by-step explanation:

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5 0
3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
I will give brainlest for the right answer. Please don't just make up a random thing. PLEASE!
Alexxx [7]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) =  \\

(30 \times  \frac{1}{2} x) -( 30 \times 2 )+ (40 \times  \frac{3}{4} y )- (40 \times 4 )=  \\

15x - 60 + 30y - 160 =  \\

15x + 30y - 220

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is Option Three .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6 0
2 years ago
Read 2 more answers
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
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