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3 years ago

What is the factorization of the trino Mila below -x^2 + 2x + 48

Mathematics

1 answer:

Alexxx [7]3 years ago

4 0

Answer:

-(x-8)(x+6)

Step-by-step explanation:

-x^2+2x+48

-(x^2-2x-48)

-(x-8)(x+6)

The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.

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Kasey needs 1.5 cups of milk and 4 cups of sugar to make 12 muffins. She plans to make 36 muffins . How many fl oz of sugar does

Masja [62]

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

4 0

3 years ago

In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

sammy [17]

<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

$\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : $\overline{x}=1.9\text{ pounds}$

Standard deviation: $\sigma=0.89\text{ pounds}$

Significance level : $1-\alpha:1-0.99=0.01$

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

$t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604$

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

$1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)$

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)

5 0

4 years ago

Graph the line that has a slope of 6 and includes the point (0,4).

faust18 [17]

Answer:

The equation of the line with slope 6 and containing the point (0, 4) will be:

$y = 6x+4$

The graph of the line y = 6x+4 is attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given

The slope m = 6

The point (0, 4)

The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The point (0, 4) indicates that:

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 6 in the slope-intercept form of the line equation

$y = mx+b$

$y = 6x+4$

Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

$y = 6x+4$

The graph of the line y = 6x+4 is attached below.

3 0

3 years ago

With the air conditioner on, the electric bill was $303. With the air conditioner off, the bill was $194. What was the differenc

professor190 [17]

Answer:

$109 is the difference between both the bills

Step-by-step explanation:

Difference =$(303-194)

=$109

Hope this helps

6 0

3 years ago

Read 2 more answers

Can someone please help

Dmitrij [34]

Answer:

1) a. 15ft

b. 6ft

c. 30ft

2) a. 16m

b. 12m

c. 192m

8 0

3 years ago

Read 2 more answers