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2 years ago

The graph of y=f(x) is shown above. Which of the following could be the graph of y=f′′(x)?.

SAT

1 answer:

AfilCa [17]2 years ago

6 0

The true statement about the graph of f(x) is $f(x) = \frac 35x + 3$

The graph of f(x) is a straight line that passes through the points (-5,0) and (0,3).

Start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

So, we have:

$m = \frac{3-0}{0--5}$

Simplify

$m = \frac{3}{5}$

The equation of the line is then calculated as:

$y = m(x -x_1) + y_1$

This gives

$y = \frac 35(x -0) + 3$

Open bracket

$y = \frac 35x + 3$

Express y as a function of x

$f(x) = \frac 35x + 3$

Hence, the true statement about the graph of f(x) is $f(x) = \frac 35x + 3$

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one part of paint thinner is used to create 5 parts of paint mixture a painter has 12 ounces of paint how many ounces of thinner

Law Incorporation [45]

Answer:

In order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of paint thinner

Explanation:

The given parameters are;

The number of parts of thinner used to create 5 parts of paint mixture = 1 part

The amount of paint the painter has = 12 ounces

The amount of thinner is given by the relation;

Ratio of thinner to paint mixture = 1:5

Which gives, 1 part of thinner is required for 5 parts of paint mixture

1/5 parts of thinner is required for 1 part of paint mixture

Therefore, 12/5 or 2.4 parts of thinner will be required for 12 parts of paint mixture

Which gives;

2.4 ounces of thinner will be required for 12 ounces of paint mixture

Therefore, in order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of thinner.

6 0

3 years ago

luigi is willing to lend klaus $5,000 for one year at a nominal rate of interest of 7 percent. both luigi and klause expect the

svet-max [94.6K]

The real return is the difference between the nominal and actual rate of inflation. Therefore, the real return revived by Luigi will be 6%.

Given the Parameters :

Nominal rate = 7%

Actual rate of inflation = 1%

Real return = Nominal rate - Actual rate of return

Real Return = 7% - 1% = 6%

Therefore, the real return on Luigi's money would be 6%

Learn more : brainly.com/question/18801159

4 0

3 years ago

Ingrid is participating in a relay race. While jogging at 9 km/h, she tosses a relay stick at 16 km/h to her teammate, who is st

Katena32 [7]

Answer:

16 km/h

Explanation:

The relay stick would have the same velocity relative to Ingrid as the velocity she threw it because she threw it while running 9 km/h and the question asks for how fast it is moving RELATIVE to Ingrid, who also started off moving at 9 km/h.

Sorry if explanation is bad, this one was a bit of head scratcher for me to wrap my head around ig.

7 0

2 years ago

A buffer is made with sodium acetate and acetic acid

tamaranim1 [39]

Answer:

Because Water is not a buffer solution and the acetic acid/acetate solution is a buffer solution. An acidic buffer is a solution of a weak acid (acetic acid) and its conjugate base pair (sodium acetate) that prevents the pH of a solution from changing drastically through the action of each component with incoming acid or base.

3 0

2 years ago

You are given the reaction cu + hno3 right arrow. Cu(no3)2 + no + h2o. Which element is oxidized? which element is reduced?.

Tcecarenko [31]

Answer:

Cu ---> Oxidized, HNO3 ---> Reduced.

Explanation:

Refer to attachment.

Copper (Cu) is gaining oxygen, hence, it's oxidized. On the other hand, HNO3 is losing hydrogen, hence, it's reduced.

Hope it helps :)

4 0

2 years ago

Read 2 more answers