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3 years ago

Y=4x+7 what are the intercepts of the line

1 answer:

4 0

To find the intercepts you sub the opposite value for 0
To find y:
<span>Y=4(0)+7
0*4=0+7=7
y=7

To find x:
0=4x+7
Subtract 7 from both sides
-7=4x
divide both sides by 4

x=-7/4

Final answer:
x-intercept: (-7/4,0)
y-intercept: (0,7) </span>

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The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, express

Aloiza [94]

Answer:

The answer is " $\bold{\frac{22}{171}}$ "

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about $\frac{(22\ million)}{(171\ million)} = \frac{22}{171}$

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

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2 years ago

The number of salmon swimming upstream to spawn is approximated by the following function:

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Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let $S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965$ , for $6 \leq x \leq 20$ . $x$ represents the temperature of the water, measured in degrees Celsius, and $S$ is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

$S'(x) = -3\cdot x^{2}+4\cdot x +405$ (Eq. 1)

$S''(x) = -6\cdot x +4$ (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for $x$ :

$-3\cdot x^{2}+4\cdot x +405 = 0$

And all roots are found by Quadratic Formula:

$x_{1} \approx 12.305\,^{\circ}C$ , $x_{2}\approx -10.971\,^{\circ}C$

Only the first root is inside the given interval of the function. Hence, the correct answer is:

$x \approx 12.305\,^{\circ}C$

Now we evaluate the second derivative at given result. That is:

$S''(12.305) = -6\cdot (12.305)+4$

$S''(12.305) = -69.83$

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

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3 years ago

What’s the value of a ?

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The answer is (B)16.

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3 years ago

What is the answer to the question?

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Answer:

Step-by-step explanation:

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