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3 years ago

Which graph represents the solution to the given system -4x+2y=-11 and -2x+2y=-15

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

Answer:

Step-by-step explanation:

posledela3 years ago

4 0

The answer is D if you graph it it falls into those equations in the intersection they make

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PRACTICE Be Precise Write a summary statement about

Greeley [361]

Decimals that are equivalent to fractions with denominators of 100

6 0

3 years ago

If the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 6 in.

mel-nik [20]

Answer:

0.375 feet-lb

Step-by-step explanation:

We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.

We can represent our given information as:

$6=\int\limits^2_0 {F(x)} \, dx$

We will use Hooke's Law to solve our given problem.

$F(x)=kx$

Substituting this value in our integral, we will get:

$6=\int\limits^2_0 {kx} \, dx$

Using power rule, we will get:

$6=\left[ \frac{kx^2}{2} \right ]^2_0$

$6=\frac{k(2)^2}{2}-\frac{k(0)^2}{2}$

$6=\frac{4k}{2}-0\\\\k=3$

We know that 6 inches is equal to 0.5 feet.

Work needed to stretch it beyond 6 inches beyond its natural length would be $\int\limits^{0.5}_0 {kx} \, dx =\int\limits^{0.5}_0 {3x} \, dx$

Using power rule, we will get:

$\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0$

$\frac{3(0.5)^2}{2}-\frac{3(0)^2}{2}\Rightarrow \frac{3(0.25)}{2}-0=\frac{0.75}{2}=0.375$

Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.

3 0

3 years ago

Li bought five lip balms. Each lip balm costs the same amount. She spent a total of $7.25.

nexus9112 [7]

Answer:

Its 1.45, you didn't have to ask a question just look it up

Step-by-step explanation:

7.25-5c

4 0

3 years ago

Read 2 more answers

Identify the underlined place in 183.6733. Then round the number to that place.

disa [49]

Answer:

i think the answer is thousands

7 0

2 years ago

How many more pounds does the heaviest soccer ball weigh than the heaviest baseball Round your

gregori [183]

Answer:

39/64 pounds or 0.61 pounds.

Step-by-step explanation:

According to the image, the heaviest soccer ball weights 15 ounces, and the heaviest baseball weights 5.25. So the difference is:

15 - 5.25 = 9.75 ounces

Since the question is how many more pounds, you have to convert ounces to pounds. 1 pound is equal to 16 ounces, so you have to devide the result by 16.

9.75 / 16 = 39/64 pounds or 0.61 pounds.

8 0

4 years ago