All categories

3 years ago

PLEASE HELP! ITS URGENT!

Mathematics

2 answers:

denis-greek [22]3 years ago

8 0

Adding some constant k to a function f(x) has the effect of shifting the graph of the function up by k units. To find what k is, we can pick one point on f(x) and see how far up it's been shifted on the graph of g(x). Looking at the point (0, 2) on f(x), we notice that the point at the same x-coordinate on g(x) is (0, 5) - it's been shifted up 3 units (since the distance between 2 and 5 is 5 - 2 = 3), so we can say that g(x) = f(x) + 3, making k = 3.

Brrunno [24]3 years ago

3 0

Notice how blue f(x) crosses the y axis (the vertical axis) at 2. The red graph g(x) crosses the y axis at 5. This is a difference of 5-2 = 3. So the value of k must be 3

This means g(x) = f(x) + 3

This k value 3 shifts all of f(x) up 3 units. You can think of it as moving every point on f up 3 units.

You might be interested in

Evaluate the following expression

lina2011 [118]

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

6 0

3 years ago

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30, and the sample statistics

IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

$H_a: p$

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= $\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all the values , we get

$z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84$

Hence, the value of the test statistic = 0.84

6 0

3 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Delvig [45]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

6 0

3 years ago

Summer Dave builds a crate to hold vegetables the volume of the crate is 48 ft.³ the base area of the crate is 16 ft.² what is t

MariettaO [177]

The height of crate is 3 feet

Solution:

Given that Summer Dave builds a crate to hold vegetables

Volume of crate = 48 cubic feet

Base area of crate = 16 square feet

To find: height of crate

The crate is of shape cuboid

The volume of cuboid is given as: