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Gelneren [198K]
1 year ago
12

Carpet Plus advertises that they can install 1,400 square feet of carpet in 212212 hours. Indicate whether each rate below is eq

uivalent to this rate.
equivalent not equivalent
980 square feet of carpet in 134134 hours


1,200 square feet of carpet in 2 hours


1,760 square feet of carpet in 314314 hours
Mathematics
1 answer:
Natalka [10]1 year ago
5 0

Step-by-step explanation:

$3000-$14000 Is your money

time hours=24356 hrs

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If x2 + mx + m is a perfect-square trinomial, which equation must be true?
Rus_ich [418]
X² + mx + m A perfect square trinomial is where:x² - is the square of the first term binomialmx - is twice the product of the binomials first and last termm - is the square of the last term binomial
x² + mx + m = (x + 1)²
(x + 1)² ⇒ (x+1)(x+1) = x(x+1) +1(x+1) ⇒ x² + x + x +1 = x² + 2x + 1
7 0
2 years ago
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On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R On a coordinate plane, a line goes thr
Nitella [24]

Answer:

x + 2y = 8.

Step-by-step explanation:

Line goes through (-4, 0) and (4, -4).

The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.

Since we are looking for the equation of the line parallel to that line, the slope will be the same.

We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.

3 = (-1/2) * 2 + b

b - 1 = 3

b = 4.

So, we have y = -1/2x + 4.

1/2x + y = 4

x + 2y = 8.

Hope this helps!

8 0
2 years ago
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Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than
lozanna [386]

Answer:

<h2>Second choice.</h2>

Step-by-step explanation:

The given inequality is

-\frac{1}{2}x \geq  4

Let's solve for x

x\leq -4(2)\\x\leq -8

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.

Therefore, the second choice represents the solution to the given inequality.

4 0
2 years ago
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On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in
sveta [45]

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

  1. A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
  2. A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
  3. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
  4. Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.

3 0
2 years ago
In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,
DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

7 0
1 year ago
Read 2 more answers
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