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3 years ago

8

The equation h(t) = -16t^2? + 32t + 128 models the path of a ball thrown in the air from the top of a building. After how many s

econds does the ball reach its maximum
height?

1 answer:

Lelu [443]3 years ago

4 0

Answer:

1 second

Step-by-step explanation:

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Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

hram777 [196]

x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

<em><u>Solution:</u></em>

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

<em><u>Ms. Lee wrote a test with 15 multiple choice short answer questions</u></em>

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

<em><u>The maximum number of points possible on the test is 100</u></em>

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

6 0

3 years ago

Find f(3).<br><br> f(x) = x2 + 5x - 9<br> A) 7 <br> B) 10 <br> C) 9 <br> D) 15

Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

<u>Numeric Value of a Function</u>

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

$f(x)=x^2+5x-9$

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

$f(3)=3^2+5(3)-9$

$f(3)=9+15-9$

$f(3)=15$

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0

3 years ago

The linear equation y = mx + b contains the point (4, -2) and is perpendicular to the

xenn [34]

A linear equation is represented as: $y = mx + b$ .

The equation of the line is: $y =3x - 14$

First, we calculate the slope (m) of $6x + 18y = 11$

Make y the subject

$18y = -6x + 11$

Divide by 18

$y = -\frac{1}{3}x + \frac{11}{18}$

In $y = mx + b$

$m \to$ slope

So, the slope of $y = -\frac{1}{3}x + \frac{11}{18}$ is:

$m = -\frac 13$

Since, the line is perpendicular to $6x + 18y = 11$

The slope of the line is:

$m_1 = -\frac{1}{m}$

So, we have:

$m_1 = -\frac{1}{-1/3}$

$m_1 = 3$

The line passes through (4,-2).

So, the equation is:

$y =m(x - x_1) + y_1$

This gives:

$y =3(x - 4) -2$

$y =3x - 12 -2$

$y =3x - 14$

Hence, the linear equation is:

$y =3x - 14$

Read more about at:

brainly.com/question/11897796

7 0

3 years ago

If a1 = 8 and an = an-1 + 5 then find the value of a5.

Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

A5=A4+5

5 0

3 years ago

In the equation y=mx,which statement is not true about m?

bearhunter [10]

M is always positive

7 0

3 years ago

Read 2 more answers