Solve for r 4/r = 5/7

Write an equation that describes the function.

Leona [35]

From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1

5 0

3 years ago

Read 2 more answers

In each case, use the digits 1 to 9 at most one time each.

krok68 [10]

Answer:

Hello,

$x^{11} = x^{3} x^{8} = x^{2} x^{4} x^{5}$

8 0

3 years ago

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

Studentka2010 [4]

Answer:

D) $(-2,-9)$

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

$y=a(x-h)^2+k$

Vertex -> $(h,k)$

Axis of Symmetry -> $x=h$

Vertical Scale Factor -> $a$

To turn $f(x)=x^2+4x-5$ into vertex form, we need to complete the square on the right side
Therefore, if $f(x)=0$ , then $0+9=x^2+4x-5+9$ completes the square on the right side
This becomes $9=(x+2)^2$
This means that our function in vertex form is $f(x)=(x+2)^2-9$

Therefore, the vertex of the graph is $(h,k)=(-2,-9)$ .

3 0

3 years ago

X

tresset_1 [31]

Step-by-step explanation:

x and y are roughly in a linear relationship.

when x increases by 2 units, then also y increases by more or less 2 units.

when x increases by 3 units, then also y increases by more or less 3 units.

it is not precise, but a good approximation model.

3 0

2 years ago

Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4

slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 48, \sigma = 4$ .