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2 years ago

Please help me!!!!!!

Mathematics

1 answer:

Ray Of Light [21]2 years ago

5 0

Answer:

Option C

Step-by-step explanation:

Domain is the set of x-values of the function.

Similarly, Range of a function is defined by the set of y-values of the function.

For the given set of domain → {0, 3, 7}

Range of function → f(x) = 2ˣ + 4

x 0 3 7

f(x) 2⁰+ 4 = 5 2³+ 4 = 12 2⁷ + 4 = 132

Therefore, range of the given function will be → {5, 12, 132}

Option C will be the answer.

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

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

The equation of the line can be found using:

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

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

Solve the system of linear equations by substituting. Check your solution

Ghella [55]

QUESTION 4

The given system of linear equations are,

$y = 5x - 7...(1)$

and

$- 3x - 2y = - 12...(2)$

We put equation (1) into equation (2) to obtain,

$- 3x - 2(5x - 7) = - 12$

We expand to get,

$- 3x - 10x + 14 = - 12$

Group like terms to get,

$- 3x - 10x = - 12 - 14$

Simplify to get,

$- 13x = - 26$

Divide both sides by -13 to get,

$x = 2$

Put the value of x into equation (1) to get,

$y = 5(2) - 7$

$y = 10 - 7 = 3$

The solution is

$x = 2 \: \: and \: \: = 3$

QUESTION 5

The given system of linear equations are

$-4x+y=6....(1)$
and

$-5x-y=21...(2)$

We make y the subject in equation (1) to get,

$y = 4x + 6....(3)$

Put equation (3) into equation (2) to get,

$- 5x - (4x + 6) = 21$

We expand to get,

$- 5x - 4x - 6 =21$

We group like terms to get,

$- 5x - 4x = 21 + 6$

This implies that,

$- 9x = 27$

We divide both sides by -9 to get,

$x = - 3$

Put the value of x in to equation 3 to get,

$y = 4( - 3) + 6$

$y = - 12 + 6 = - 6$

Therefore the solution is

$x = - 3 \: and \: y = - 6$

QUESTION 6

The given equations are,

$-7x-2y=-13...(1)$

and

$x-2y=-13...(2)$

Make x the subject in equation (2) to get,

$x = 2y - 13...(3)$

Put equation (3) into equation (1) to get,
$- 7(2y - 13) - 2y = - 13$

We expand to get,

$- 14y + 91 - 2y = - 13$

We group like terms to obtain,

$- 14y - 2y = - 13 - 91$

.Simplify to get,

$- 16y = - 104$

Divide through by -16 to get,

$y = \frac{13}{2}$

Put the value of y into equation (3) to get,

$x = 2( \frac{13}{2} ) - 13$

$x = 13 - 13 = 0$

Therefore

$x = 0 \: and \: y = \frac{13}{2}$

8 0

3 years ago

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its

lana66690 [7]

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem:

- The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.

-Madison is 5 feet tall.

2. Therefore, you have:

Sinα=opposite/hypotenuse

Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft

3. Now, you can calculate the height of the Statue of Liberty, as below:

height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft

4. Therefore, as you can see, the answer is: 62.13 ft

4 0

3 years ago

Read 2 more answers

Multiply to find the product. 64.7 x 28 = ______

Crazy boy [7]

Answer:

1811.6

Step-by-step explanation:

647x28

18116

move once to the left bc of the point in 64.7

1811.6

7 0

2 years ago

Read 2 more answers

|3x+6|+3=6 What is the answer?

GrogVix [38]

Answer:

x=-3 or x=-1

Step-by-step explanation:

Subtract 3 from both sides of your equation, it should look like this |3x+6|+3-3=6-3.

Simplify to get |3x+6|=3

Apply the absolute rule to get 3x+6=-3 or 3x+6=3.

3x+6=-3 : x=-3

3x+6=3 : x=-1

I'm glad I was able to help have a great day!

8 0

3 years ago

Please help me!!!!!!​

Please help me!!!!!!