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3 years ago

(X+8)(x-8) if necessary combine like terms

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

Answer:

x² - 64

Step-by-step explanation:

Given

(x + 8)(x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 8) + 8(x - 8) ← distribute both parenthesis

= x² - 8x + 8x - 64 ← collect like terms

= x² - 64

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Picture contains 2/3 quart of lemonade if an equal amount of lemonade is poured into each of six classes how much lemonade what

tensa zangetsu [6.8K]

1/9 quart in each glass

6 0

3 years ago

1. Solve the system of equations: 2x + y = -2<br> 5x + 3y = -8

Fantom [35]

Answer: x=2 and y=−6

Step-by-step explanation: 2x+y=−2, 5x+3y=−8

2x+y=−2

2x+y+−2x=−2+−2x

y=−2x−2

5x+3y=−8

5x+3(−2x−2)=−8

−x−6+6=−8+6

−x=−2

−x /−1 = −2 /−1

x=2

y=−2x−2

y=(−2)(2)−2

y=−6

x=2 and y=−6

8 0

3 years ago

Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll

Papessa [141]

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

8 0

3 years ago

Graph the linear equation find three points that solves the equation 2y=5x+11

Julli [10]

Answer:

<h3>Attachment</h3>

Step-by-step explanation:

Convert to the slope-intercept form (<em>y = mx + b</em>):

$2y=5x+11$ <em>divide both sides by 2</em>

$\dfrac{2y}{2}=\dfrac{5x}{2}+\dfrac{11}{2}\\\\y=\dfrac{5}{2}x+\dfrac{11}{2}$

We choose any three x values and calculate the y value:

for x = -1

$y=\dfrac{5}{2}(-1)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to A(-1,\ 3)$

for x = 1

$y=\dfrac{5}{2}(1)+\dfrac{11}{2}=\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{16}{2}=8\to B(1,\ 8)$

for x = -3

$y=\dfrac{5}{2}(-3)+\dfrac{11}{2}=-\dfrac{15}{2}+\dfrac{11}{2}=-\dfrac{4}{2}=-2\to C(-3,\ -2)$

Mark the points on the coordinate plane and draw a line through the given points.

6 0

3 years ago

How do you make a parabola?

sleet_krkn [62]

Make an equation where

Y =
(any number not zero) times X² + (any number at all) times X + (any number at all)

The graph of that equation is guaranteed to be a parabola.

8 0

3 years ago