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Galina-37 [17]
3 years ago
12

What is the range of y=4[x+2]

Mathematics
2 answers:
julia-pushkina [17]3 years ago
8 0

Answer:

(-∞,∞)

Step-by-step explanation:

This function is a line, with a positive slope, that never ends, so the range is negative infinity to positive infinity (non-inclusive).

Drupady [299]3 years ago
5 0

Answer:

all multiples of 4

Step-by-step explanation:

if you're looking for the answer for edge-nuity, then the answer is c, all multiples of 4. I just answered it and all real numbers is wrong, as stated by the other answer. the correct answer is all multiples of 4.

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A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
3 years ago
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja
frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating simple interest.</em>

Simple Interest = <u>P x R x T </u>

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

<em>Step 2: Substitute values in the formula</em>

Simple Interest = <u>30,000 x 6 x 7/12</u>

                                       100

Simple Interest = $1050

<em>Step 3: Calculate the amount due at maturity</em>

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

4 0
3 years ago
Solve for x<br> -x + 4=22
bekas [8.4K]

Answer: x = −18

Step-by-step explanation:

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 22 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 22 + -4

-1x = 22 + -4

Combine like terms: 22 + -4 = 18

-1x = 18

Divide each side by '-1'.

x = -18

Simplifying

x = -18

6 0
3 years ago
Read 2 more answers
Can somebody plsss find the slop ASAP!!!!!
Oksanka [162]

Answer:

m=-2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 0)

Point (1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-2-0}{1-0}
  2. Subtract:                       m=\frac{-2}{1}
  3. Divide:                          m=-2
6 0
3 years ago
JUST ANSWER NUMBER 10
jeka57 [31]

Answer:

answer is (14x+6) hope it helps

4 0
3 years ago
Read 2 more answers
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