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Mila [183]
3 years ago
13

Which of these ordered pairs is a solution to the inequality

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

(1, -1)

Step-by-step explanation:

If you replace y and x with (1 and -1) you have -1 - 2^1 < -3

And that equals -3 if solved. The sign says equal to or less than, so you answer is (1, -1)

You might be interested in
If the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs” what is the alternate hypothe
AlexFokin [52]

Answer:

“The true mean weight of the piglets is at most 39lbs”would be the alternate hypothesis.

Step-by-step explanation:

Given that  the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

We have to find the alternate hypothesis.

In hypothesis testing, alternate is the opposite of null hypothesis.  If null hypothesis supports one statement alternate hypothesis opposes it.  In other words, alternate hypothesis would be the negative of the claim of null hypothesis.

Here the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

i.e H0: x bar\geq 39 lbs

So alternate hypothesis

Ha:  x bar\leq 39 lbs

8 0
3 years ago
A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiche
Dahasolnce [82]

Answer:

24

Step-by-step explanation:

Setting x as the number of salami sandwiches:

2/5 = x/60

Cross-multiplying: 5x = 2 × 60

Simplifying: 5x = 120

Division: x = 24

7 0
3 years ago
I need help on this. Please
serious [3.7K]

Answer: choice C, y = 0.014x+0.85

==============================

Explanation:

Each column of the table represents an (x,y) pair of values

x = number of pages

y = cost

If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (2.25-1.55)/(100-50)

m = 0.7/50

m = 0.014

So far, we see the answer is between A,B or C as they have the slope of 0.014

Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b

y = mx+b

y = 0.014x+b .... plug in the slope found earlier

1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)

1.55 = 0.7+b

1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides

0.85 = b

b = 0.85

With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.

3 0
3 years ago
Hii anyone mind helping me with this question :D
Digiron [165]
0.0045, Bc that negative exponent makes the decimal point move to the left!
4 0
3 years ago
A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c
Alenkinab [10]

Answer:

C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

l\times b\times h

where l is the length, b is the base and h is the height.

Volume of box =

s^2h = 150\\\\h = \dfrac{150}{s^2}

Area of base =

\text{side}\times \text{side} = s^2

Cost of concrete for the base = $4

Cost of base($) = 4s^2

Area of roof =

\text{side}\times \text{side} = s^2

Cost of material for the roof = $2

Cost of roof ($) = 2s^2

Area of 4 walls =

4\times (sh)\\=4sh

Cost of material for the side = $2.50

Cost of material of side($) =

2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}

is the required cost function.

5 0
3 years ago
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