Use the box method to distribute and simplify (-5x-3)(2x-6)

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

Each friend will get 1/9 of the pizza (I think).

Step-by-step explanation:

I believe you would divide 1/3 by 3, or in other words, multiply 1/3 * 1/3:

1/3 * 1/3 = 1/9

Have a nice day!! It would be TOTALLY RAD if I could get brainliest!!!

Answer:

You are technically dividing by zero, it breaks math.

In the step (X+1)(X-1)=X-1 → X+1=1.

You divide (X+1)(X-1)=X-1 by (x-1) on both sides to get:

(x+1)(x-1) / (x-1) = (x-1) / (x-1).

Since x = 1,

(x + 1)(x - 1) / (x - 1) = (x - 1) / (x - 1)

becomes (2)(0) / 0 = 0 / 0.

And when you divide by zero, it's undefined since you cannot multiply a number by zero and get a number other than zero, it's undefinable.

This is where limits come in, when you divide by a variable, you have to assumed that is it ≠ 0.

You know that 1 ≠ 2, and 0 ≠ 1, and so on.

As dividing by zero approaches infinity,

1/0.1 = 10, 1/0.01 = 100, 1/0.001 = 1000, 1/0.00..1 = 1000.. → 1/0 → infinity.

1/-0.1 = -10, 1/-0.01 = -100, 1/-0.001 = -1000,

1/-0.00..1 = -1000.. → 1/0 → -infinity.

This suggests that dividing by zero should be infinity.

Therefore infinity = -infinity, Wrong.

When you are dividing, you are really asking yourself, how many times does this number fit into the other number.

1 cannot fit into 0, there isn't anything to fit into. This can also be thought of as:

1 = 0 + 0 + 0 + 0 + 0 + ......

0 + 0 = 0, so 1 ≠ 0.

Answer:

1 cannot = 0, this is like breaking physics.

Step-by-step explanation:

Answers:

directx - x=4

focus - (0, 4)

vertex (- 1, -1)

explanation please give me options

Answer:

1/4

Step-by-step explanation:

2/8 a die has has 6 sides and a coin has 2 sides add them up thats 8 sides in total. Then you get 2/8 simplify it and you get 1/4. I'm bad at Math but I'm pretty sure this is right.

Answer:

1. The angles of a triangle added up all together is 180. So, we can solve a as an equation!

36+57+a=180.

From this, we can figure out a:

a=87

2. The same goes for this one, just a bit different. We write our equation like this:

3x+90=180

we solve this:

3x=90

we divide both sides by 3 and get:

x=30

Answer:

Δ4

Step-by-step explanation:

Answer:

it's answer is triangle 4

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

Answer: the total area is 26 in^2, which is option B

Step-by-step explanation:

ok you have to find the area of the rectangle to the left of the line and then the area of the right triangle and add them together to get the total area

so for the area of the rectangle it would be

a = Lw

a = 4 * 5 = 20 in^2

now to find the area of the triangle we first subtract 5 from 8 to see the lenght of the segment from the vertical line to the vertex of the triangle

8 - 5 = 3

so the segment is 3 inches long

the formula for the area of a triangle is (1/2)bh

(1/2)(3)(4) = 1/2 (12) = 6

so the area of the triangle is 6 in^2

now lets add the area of the rectanglke and the area of the triangle together to find the total area

20 in^2 + 6 in^2 = 26 in^2

the total area is 26 in^2, which is option B

Answer:

B. 26 square inches

Step-by-step explanation:

For the rectangle, 4 times 5 equals 20, then 4 times 3 equals 12 divided by 2 equals 6. 20 + 6 = 26

Answer:

216 cm^2

Step-by-step explanation:

Alright, first lets knock out the rectangle. This would be found by doing L * H. For the length it would be 14. For the height, it would be 12.

14 * 12 = 168

Next with the triangle, it has a length, or "base" of 8 and the same height of 12. For a triangle, do (B * H) / 2 as the formula.

(8 * 12) / 2

96 / 2

48

Now, combine these two values to get the total:

168 + 48 = 216 cm^2

All done!

Answer:

yee

Step-by-step explanation:

Answer:

C=2πr           (3.14) (9)(20) = v=230.05 cm

Step-by-step explanation:

Answer:

420 miles/7 hours = 60 miles per hour.

Answer:

62 miles and hour

Step-by-step explanation:

Answer:

13.

<S=½(arc TQ- arc TR)=½(143-71)=36°

14.

<E=½(arc DG- arc DF)=½(169-59)=55°

15.

arc PR=180-62=118°{sum of opposite angle of quadrilateral in circle is supplementary)

16.

arc TR =180-47=133°

again

arc T?R=360-133=227°

17.

62+38x+4=180

38x=180-66

x=114/38

x=3

Answer:

I guess your answer would be sqaures!

Step-by-step explanation: The other categories can vary on the types of shapes and all but a square is always the same shape! :)

Answer:

The answer is below

Step-by-step explanation:

When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.

Solution:

The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given by:

[tex]E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16[/tex]

The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)

b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce

3 is to 2 is the probability of drawing 4 marbles that are all blue.

Answer:

new image should be 4 x 8

post the pictures for the questions

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

96

Step-by-step explanation:

once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.

Answer:

C.

Step-by-step explanation:

The pythagorean theorem shows a^2+b^2=c^2.

a=8, b=15, c= the unknown distance

8^2+15^2=c^2

Answer:

y= 5-x

Step-by-step explanation:

We notice that when we put 5 for x we get 0 which means that we must be subtracting the given x value by constant

y= 5-x makes sense, try plugging in any x value given in table and you will get its y counterpart back.

For eg, when x= -1

y= 5- (-1) = 6 (negatives add)

Answer:

25

Step-by-step explanation:

Answer:

GCF is 25

Step-by-step explanation:

Here's a great calculator for this! glad i could help.

https://www.mathsisfun.com/greatest-common-factor-tool.html

Answer:

The solution to this problem is -3/4

Answer:

The inequalities are used as:

a > b  (a is greater than b)

a < b (a is smaller than b)

a ≤ b (a is smaller than or equal to b)

a ≥ b (a is greater than or equal to b)

a ≠ b (a is different than b)

Now, let's apply these for our two numbers.

-8 and -13

We know that for negative numbers, the larger absolute value means that the number is smaller, then we relate these numbers in the next 3 ways.

-8 > -13  (-8 is greater than -13)

-13 < 8  (-13 is smaller than -8)

-13 ≠ -8 (-13 is different than -8)

Answer:

Mecury

Mars

Venus

Earth

Neptune

Uranus

Saturn

Jupiter

Answer:

The offset function

Step-by-step explanation:

In Microsoft Excel, the offset function or formula returns reference to a particular cell.

The syntax is:

= OFFSET(reference, rows, cols)

Where:

reference = the base cell

rows and cols are the direction to move

For instance:

OFFSET(A1, 3, 1) will return cell B4

Because:

3 will shift down the reference from A1 to A4

1 will shift right the reference from A4 to B4

Answer:

i think it is 1/100

Step-by-step explanation:

4/20^2 add all the marbles number together than put the amount of orange marbles on top of it so it is 4/20 than square it