A random number, x, is generated, where x is any real number.

(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.

Show that y = 20 + 8x - x?.​

Answer:

D

Step-by-step explanation:

K/1 = (QD)/(AT)

(K)(A)(T) = (Q)(D)

A = QD/KT

Answer:

2.

A. GCF: 5x

B. GCF: 1

3.

A. 12x² + 38x - 14

B. 9x² - 6x + 1

C. 3x² + 4x - 5

Step-by-step explanation:

2.

a.

5x² - 30x

5x (x - 6)

GCF: 5x

b.

-12x² - 3xy - 4y²

GCF: 1

3.

a.

(2x + 7)(6x - 2)

2x(6x - 2) + 7(6x - 2)

12x² - 4x + 42x - 14

12x² + 38x - 14

b.

(3x - 1)²

(3x - 1)(3x - 1)

3x(3x - 1) - 1(3x - 1)

9x² - 3x - 3x + 1

9x² - 6x + 1

c.

(x + 3)(3x - 2) - (3x - 1)

3x(x + 3) - 2(x + 3)

3x² + 9x - 2x - 6

3x² + 7x - 6 - (3x - 1)

3x² + 7x - 6 - 3x + 1

3x² + 4x - 5

I hope this helps!

Answer:

3

Step-by-step explanation:

If each packet has 500 grams, and each person eats 100 grams, then one packet will feed five people (500/100=5). Since he will be buying pasta for 12 people, he will need to buy three packets, because 3*500=1500 grams. While there is some extra, buying only two packets would result in not enough pasta.

Answer:

a = 104

Step-by-step explanation:

126 + 26 = 152

360 - 152 = 208

208 / 2 = 104

104 = a

Hope this helps :)

(If you need the explanation in words just let me know)

Step-by-step explanation:

Let's find

add up

Answer:

[tex]8 \div 4(3 - 1)[/tex]

let's follow BODMAS for solving this expression ~

the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~

B - brackets

O - of

D - division

M - multiplication

A - addition

S - subtraction

using the order , let's move to the expression given now ~

[tex]\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1[/tex]

hope helpful :D

The value of expression 8 divided by 4 (3-1) would be equal to 1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 8 divided by 4 (3-1)

A negative divided by a negative is positive, therefore,

8 / 4 (3-1)

8 / 4(2)

8/8 = 1

Therefore, The value of 8 divided by 4 (3-1) is; 1

Learn more about division here:

brainly.com/question/26411682

#SPJ2

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

D) 111

Step-by-step explanation:

Answer:

79.44 ft²

Step-by-step explanation:

Area (wall)

Answer:

Length of armoured vehicle:  19.8 ft

Step-by-step explanation:

1 is to 3.3 in as 72 is to x:

   1         72

-------- = --------

 3.3         x

This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):

Length of armoured vehicle:  19.8 ft

Answer:

the answer is five 5 students prefer football

Answer:

-1

Step-by-step explanation:

First, we need to work out the left-hand side.

Now, we can work out the right hand side.

Finally we can work out the full sum: 1 + -2 = -1.

Hope this helps!

Answer:

<JML=126 degrees, x=42

Step-by-step explanation:

well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.

Angles are supplementary hence their sum is 180°

So

<JML=3x=126°

Answer:

  -56

Step-by-step explanation:

It is often easiest to find terms of a sequence by simply writing each one based on the previous one. Here, the common ratio of -2 tells you that each term is -2 times the previous term.

The first four terms are ...

  7, -14, 28, -56

The fourth term is -56.

The critical value for z for a hypothesis test using a 5% significance level is 1.65

It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.

It is required to find the critical value for z for a hypothesis test using a 5% significance level.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

We have a hypothesis H1 that wait time is actually greater than 60 minutes.

H1(T>60)

This is the case of the right-tailed hypothesis.

We have a significance level = 5% ⇒ 0.05

The statistics follow a normal distribution curve

Critical value = 1.6449 ≈ 1.65  (from the table at 5% significance level)

Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65

Know more about the normal distribution here:

brainly.com/question/12421652

The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC

-> Side DF = 2.5 x 3/2 = 3.75 cm.

Step-by-step explanation:

1.284=1284/1000

divide both by 4

=321/250

Answer:

72.5 (Not rounded)

Hope this helps!

Answer:

Step-by-step explanation:

The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...

__

Solving this equation, we can find Mark's withdrawal and his initial deposit.

  145 +1.6d = 265

  1.6d = 120 . . . . . . . the amount Mark withdrew

  d = 120/1.6 = 75 . . . . the amount Mark deposited

Mark put $75 into his savings account.

__

Had Mark put $100 into his savings account, the total of withdrawals would have been ...

  Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305

After spending $225 of this amount, they would have had a leftover amount of ...

  $305 -225 = $80

Trisha is not correct in her thinking that there would be more than $100 left over.

Answer:

divide the pounds to get 18 ounces

Step-by-step explanation:

i think?

Answer:

B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel

Answer:

B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel

Step-by-step explanation:

This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.

Hope this helps. If you have any further questions, let me know!

- profparis

Answer:

At the bottom!

Step-by-step explanation:

I took the quiz! :)

Answer:

Domain: [0,4]

Range: [0,64]

Step-by-step explanation:

The domain is all x values the function ranges in and the range is all y values the function ranges in.

x is from 0 to 4.

y is from 0 to 64.

Domain: [0,4]

Range: [0,64]

We use brackets to show that we include the endpoints

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

Answer:

Step-by-step explanation:

Distance can be calculated using a distance formula.

Distance formula:

[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

The distance between (-3,-4) and (2,-4) are:

[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]

Then, you solve.

[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.