Solve: 3х + y = 5x-7 when , y = 5 Show your work

Paladinen [302]

By graphing the given options as shown in attached figure
f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 ⇒⇒⇒⇒ The red graph
 f(x) = (1/4)^x-2 ⇒⇒⇒⇒ The blue graph
 f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph


The correct answer will be the blue graph

$f(x) = (\frac{1}{4})^{(x-2)}$

4 0

3 years ago

Read 2 more answers

A wheelchair ramp rises 1.5 feet for every 18 feet of horizontal distance it covers. Find the rate of change of the ramp

Ierofanga [76]

By definition the rate of change of a function is given by:
$AVR = \frac{Change In Y}{Change In X}$
Or equivalently:
$AVR = \frac{y2 - y1}{x2 - x1}$
Substituting the values given in the problem we have:
$AVR = \frac{1.5}{18}$
Rewriting we have:
$AVR = 0.08$
Answer:
the rate of change of the ramp is:
$AVR = 0.08$

7 0

3 years ago

Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below

Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.

Step-by-step explanation:

The question is incomplete:

A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

$\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83$

Then, we calculate the z-score

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83$

The probabilty can be calculated then as:

$P(X_{50}>40)=P(z>2.83)=0.0023$

5 0

3 years ago

. (6.03) Which of the following best describes the expression 6(y + 3)? (4 points) The product of two constant factors six and t

kolezko [41]

C. The product of a constant factor of six and a factor with the sum of two terms. In this case, 6 is constant, and the sum of two terms is: y+3. Since they are products, you multiple them. Therefore C would be correct.

8 0

3 years ago

What is a distinct factor in math?

Mrac [35]

Distinct prime factors are factors that can not be reduced any further.... Such factors are like 3,5, and 7.

7 0

3 years ago