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3 years ago

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

Mathematics

2 answers:

bearhunter [10]3 years ago

6 0

Answer:

f(-3)=-5

Step-by-step explanation:

Artist 52 [7]3 years ago

3 0

Answer:

$f(-3)=-5$

Step-by-step explanation:

we are given a point as

(-3,-5)

we know that any point can be represented as (x,y)

so, (x,y)=(-3,-5)

now, we can find x and y

we get

$x=-3$

$y=-5$

we know that any function can be represented as

$y=f(x)$

It means when x=-3 , y=-5

so, we can plug these values

and we get

$-5=f(-3)$

$f(-3)=-5$

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Use the quadratic formula to find both solutions to the quadratic equation

anygoal [31]

Answer:

The answer is in the photo

Step-by-step explanation:

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3 years ago

The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

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3 years ago

Round the answer to the nearest

kykrilka [37]

By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

<h3>How to use quadratic equations to determine the age of a man in terms of blood pressure</h3>

In this problem we have a quadratic function that models the blood pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:

129 = 0.006 · A² - 0.02 ·A + 120

0.006 · A² - 0.02 · A - 9 = 0

$A = \frac{0.02 \pm \sqrt{0.006^{2}-4\cdot (0.006)\cdot (- 9)}}{2\cdot (0.006)}$

A = 1.667 + 38.733

A = 40

By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

To learn more on quadratic equations: brainly.com/question/1863222

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2 years ago

Crazy T’s T-shirts can make 3/12 of a sweatshirt order in 1/6 of an hour. How much of an order can Crazy T complete in 1 hour?

Gre4nikov [31]

Answer:

1.5 sweaters or 1 and half of a sweater

Step-by-step explanation:

you would multiply 6 by 3/12 and get 1 and a half

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3 years ago

College calculus. I've tried it a couple times but i can't seem to get the right answer

boyakko [2]

The area is the sum of 'n' rectangle areas.
The width of the rectangle is size of interval, (domain size)/n
The height of each rectangle is f(interval) as interval moves along domain.

For this example, domain size = 3-1 = 2
size of interval = 2/n
height varies from f(1) to f(3), increasing by 2/n each time.
f(1+(2/n)i)

Putting this together, the area is the sum of:
$\frac{2}{n}*f(1+\frac{2i}{n})$

Since you are given the function f(x). Sub input into f(x) to get area in terms of n and i.

$f(1+\frac{2i}{n}) = \frac{3(1+\frac{2i}{n})}{(1+\frac{2i}{n})^2 +8} \\ \\ =\frac{3n+6i}{n}*\frac{n^2}{(n+2i)^2 +8n^2} \\ \\ =\frac{3n^2 +6ni}{9n^2+4ni+4i^2}$

Finally, the summation is:
$\frac{2}{n}*\frac{3n^2 +6ni}{9n^2+4ni+4i^2} = \frac{6n +12i}{9n^2+4ni+4i^2} \\ \\ A =\lim_{n \to \infty} \sum_{i=1}^n \frac{6n +12i}{9n^2+4ni+4i^2}$

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3 years ago