Susan has 4 gallons of juice. how many cups of juice does she have?

Form an identity using -5x+9=9_

koban [17]

Answer:

-5x+9=9

-5x+9-9=9-9

-5x=0

x= 0/5

x= 0

Step-by-step explanation:

7 0

3 years ago

Grade 9 transformation graph

yaroslaw [1]

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1 (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) = 3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

3 0

3 years ago

A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of

AleksAgata [21]

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that $n = 50, \pi = \frac{32}{50} = 0.64$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148$

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

8 0

3 years ago

The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.

NikAS [45]

Answer:

I think it's C, x-y-8=0

Step-by-step explanation:

5 0

2 years ago

FIND the product<br>(5a³-3a²+8)(3a-4)

Ahat [919]

I hope you will like it