Simplify the following expressions:

1. 12a + 14b + 7a^2 -13b + 3 =

2. (p^4 y^7)^3 =

3. r^8 (ra)^-3 (write without negative exponent) =

4. x^8• (2x)^3 =

Answer:

x^4+3x^3-9x^2-12x+20

Step-by-step explanation:

Use the distributive property to multiply x^2−4 by x^2+3x-5 and combine like terms.

Answer:

[tex] \frac{3(a - 7)}{4x(a - 4)} [/tex]

Answer:

x° = 125°

(x+10)° = 135°

Step-by-step explanation:

Given:

Sum of measures of angle = 720°

Solution:

We know that:

Sum of measures of angle = 720°

120 + 100 + 120 + x + 10 + 120 + x = 720

x + x + 120 + 100 + 120 + 10 + 120 = 720

2x + 470 = 720

2x = 720 - 470

2x = 250

Divide both sides by 2

x = 250/2

x = 125

Now,

Angles measures

x° = 125°

(x+10)° = (125+10)° = 135°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]4\frac{27}{56}[/tex]

Step-by-step explanation:

[tex]-4\frac{3}{8}+8\frac{6}{7} \\\\\frac{-35}{8}+\frac{62}{7} \\\\\frac{-245+496}{56} \\\\\frac{251}{56}[/tex]

Answer:

x=35 and y=70

Step-by-step explanation:

As the line is straight, x+y+5+2x=180 and y+5+x+y=180. Solving it we will get, x=35 and y=70

Answer:

2x^11

Step-by-step explanation:

distributing x^8(2x^3) makes 2 * x^3 * x^8. To multiply exponents, just add the powers together to make 11. This makes 2x^11.

Answer:

[tex]8x^1^1[/tex]

Step-by-step explanation:

Hi there!

[tex]x^8*(2x)^3[/tex]

Distribute the exponent into the parentheses:

[tex]= x^8*2^3x^3\\= x^8*8x^3\\= 8*x^3*x^8[/tex]

When two powers have the same base, add the exponents:

[tex]= 8*x^3^+^8\\= 8*x^1^1\\= 8x^1^1[/tex]

I hope this helps!

Answer:

21

Step-by-step explanation:

Let's start solving the equation step by step:

-7 (-8 - (-6) + 8 ÷ (-2)³)

So, let's start with solving 2³

2³ = 2 × 2 × 2 = 8

So, the equation will be:

-7 (-8 - (-6) + 8 ÷ -8)  

= -7 (-8 + 6 + (-1))  [1. I have divided 8 and 8 to get -1]

                            [2. I have performed (-ve × -ve = +ve) to get +6]

= -7 (-8 + 6 - 1)      [I have performed (-ve × +ve = -ve) to get -1]

= -7 (-3)                 [I have added -8 and 6 and (-1)]

= -7 × -3 = 21         [-ve × -ve = +ve]

Thus, the answer is 21

If I am wrong, please do correct me :)

Answer:

No

Step-by-step explanation:

The calculator isn't water or a fluid, therefore you have to follow the dimesions by the question. Since the Calculator is 14cm by 12.5cm, and the pencil case is 20cm by 10cm, the calculator cannot simply fit inside the pencil case as the calculator's width is longer than the pencil case's width. We do not include the height in this question as the pencil case's height is not included

Step-by-step explanation:

Answer:

7676

Step-by-step explanation:

i can help you if you want

Answer:

Got it! will go to your profile and answer it :)

Step-by-step explanation:

Answer: 2 : 1

Step-by-step explanation:

24 and 12 both are divisible by 12 so

Divide 24 / 12 and 12 / 12

= 2 : 1

Hope it helps you !!

Answer:

Step-by-step explanation:

Red = 8

Green = 6

Blue = 14

Total = 8+6+14 = 28

(a) Proability of drawing a green bead = 6/28 = 3/14

Answer for (a) = (iv)

(b) Probability of drawing beads that are not green = 8+14/28

                                                                                     = 22/28

                                                                                     = 11/14

Answer for (b) = (iii)

(c) Probability of drawing green or blue beads = (6/28) + (14/28)

                                                                             = (3/14) + (1/2)

                                                                             = 5/7

Answer for (c) = (i)

(d) Probability of drawing (not red and not green beads) = 1 - p(red) -p(green)

                                                                                              = 1 - 8/28 - 6/28

                                                                                              = 1 - 2/7 - 3/14

                                                                                              = 1/2

Answer for (d) = (iv)

Answer for (e) = (iv)

Reason = Aditi runs out of yellow beads for today, so there are no yellow beads in the potli for him/her to use.

Hi, there I hope you are having a great day :) your question Kevin plays on the school baseball team. In the last 8 games, Kevin was at bat 30 times and got 7 hits. What is the experimental probability that Kevin will get a hit during his next time at bat?

1. In the last 8 games the total number of Kevin was at the bat was 30 and the number of times in which he hit the ball was 7.

2. Now we do the experimental probability = P (Hit) = Number of hits divided by the number of Kevin at the bat.

3. So the answer would be 7/30

Hopefully, that helps you :)

Answer: A & D or 1 & 4

Hopefully, I am correct

the answer is even number.

Answer: Choice b) [tex]x \ge 120[/tex]

The graph will involve a closed filled in circle at 120, with shading to the right.

See the diagram below.

============================================

Explanation:

The phrasing "at least" means "that amount or more".

Saying "at least 120" is the same as "120 or more".

Therefore, x = 120 is the smallest x can be. That's why we go for [tex]x \ge 120[/tex] which says that either x = 120 or x > 120.

Visually, we'll plot a closed filled in circle at 120 on the number line. The shading will aim to the right to indicate all values larger than 120. The closed/filled in circle is to represent we include 120 (as opposed to an open circle where we exclude it).

Due to the fact that your teacher gave you a blank number line, the placement of 120 doesn't really matter.

Answer:

Step-by-step explanation:

Given polynomial:

Convert this into standard form, order in descending powers:

The leading term, -2x⁹ is the one with the greatest power. Its coefficient, -2 is the leading coefficient.

[tex]\\ \rm\longmapsto 3x^6-2x^9+5x-12[/tex]

Write in standard form

[tex]\\ \rm\longmapsto -2x^9+3x^6+5x-12[/tex]

-2x has greatest degree hence leading coefficient is -2.

Answer:

-6 is greater than 3.

Step-by-step explanation:

-6 is less than 3

Answer:

C integers

Step-by-step explanation:

Becoz postive and negative numbers makes integers.

Answer:

A

Step-by-step explanation:

ny number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number. Examples of rational numbers are 1/2, -3/4, 0.3, or 3/10.

Answer:

Step-by-step explanation:

Answer:

2.5 ounces drips per hour

Step-by-step explanation:

if you divide 7.5 by 3 you get 2.5

Answer:

60;100

Step-by-step explanation:

Multiply 10 each side

Answer:

-5, -3, -1, 4, 7

Step-by-step explanation:

The biggest negatives are least while the biggest positives are greatest.