All categories

3 years ago

Choose the inequality that represents the following graph.

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Tcecarenko [31]3 years ago

4 0

D

Hope this helps you

You might be interested in

A changes saved Set up a proportion and use it to solve for x. 2 10 х 3

V125BC [204]

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

$\frac{x + 3}{x} = \frac{10 + 2}{10}$

Solve for x

$\frac{x + 3}{x} = \frac{12}{10}$

$\frac{x + 3}{x} = \frac{6}{5}$

Cross multiply

$5(x + 3) = x(6)$

$5x + 15 = 6x$

15 = 6x - 5x

15 = x

x = 15

3 0

3 years ago

How to do: 4(x+7)=2(x+7)

andre [41]

4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14

4x+28=2x+14 you move the x termes to the left and other numbers to the right look:

4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7

3 0

3 years ago

Read 2 more answers

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

3 years ago

Please help me with these two problems. Thank you so much

SVEN [57.7K]

A title could be the effect of the amount/number of days on the amount/number of bacteria. For the 2nd The IV is temperature, the DV is Enzyme Activity and a title could be The effect of Temperature on Enzyme activity.

8 0

3 years ago

Alejandro solved the equation 5(7x^2-2)-8=3. He wrote 5(7x^2-2)=11 as his first step. Which property justifies his first step?

Scorpion4ik [409]

The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.

Hope this helps :)

3 0

4 years ago

Read 2 more answers