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4 years ago

Please help with algebra question

Mathematics

1 answer:

zheka24 [161]4 years ago

6 0

Remember that the vertical line test says that if a vertical line intersects a graph <span>more than once then for one value of </span>x<span> the relation has more than one value of </span>y; therefore<span>, the graph doesn't represent a function.
If we draw a vertical line on our graph, we realize that the line intersects the graph more than once; therefore, the given graph is not the graph of a function.</span>

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Rick runs 5 miles which burns approximately 500 calories. how many miles would rick have to run to burn one pound of adipose tis

AURORKA [14]

35miles Rick have to run to burn one pound of adipose tissue.

According to the given question.

Rick runs 5miles to burn 500 calories.

⇒ 1 mile burns the amount of calories = 500/5 = 100 calories.

As we know that

1 pound = 3,500 calories.

So the number of miles Rick needed to run to burn 1 pound of adipose tissue = 3500/100 = 35miles

Hence, 35miles Rick have to run to burn one pound of adipose tissue.

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8 0

1 year ago

Find the vertex and zeros of the following function f(x)=x^2-6x-7

elena-s [515]

Try this solution:

Step-by-step explanation:

1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.

2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).

x₀=6/2=3;

y₀= (4ac-b²)/4a; ⇒ y₀= -16.

It means, the coordinates of the vertex are (3;-16).

6 0

3 years ago

The sum of 4 consecutive old numbers is 40. What is the second number in the sequence

Nimfa-mama [501]

If the sequence is 7+9+11+13 then the second number in the sequence is 9

7 0

3 years ago

uppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the

True [87]

Tn the given situation, the appro[riate null hypotheses and alternative hypotheses are: H₀: μ₁ ≥ μ₂a and H₁: μ₁ < μ₂

<h3>What are alternative hypotheses?</h3>

An assertion used in statistical inference experiments is known as the alternative hypothesis.

It is indicated by Ha or H1 and runs counter to the null hypothesis.

Another way to put it is that it is only a different option from the null.

An alternative theory in hypothesis testing is a claim that the researcher is testing.

The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge.

According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.

So, the new production method supposedly lowers the mean operating cost per hour.

The following are the hypothesis when comparing the average production costs of the new production method (μ₁) with the old production method (μ₂):

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

Therefore, in the given situation, the appro[riate null hypotheses and alternative hypotheses are: H₀: μ₁ ≥ μ₂a and H₁: μ₁ < μ₂

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7 0

2 years ago

the area of a right triangle is 77 m^2. the hypotenuse has a length of √317 m. what is the length of the legs?

Alexxandr [17]

Answer:

11 m and 14 m

Step-by-step explanation:

Legs: x and y

---

1/2xy= 77 ⇒ xy= 154

√x²+y²= √317 ⇒ x²+y²=317

x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25

x= 25-y

xy=154 ⇒ y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14

x= 25-y= 14 and 11

4 0

4 years ago