Expand the following expressions and write in standard form. Show your work.

a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)

Please help!!!!

Answers

Answer 1

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2


Related Questions

can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : The watermelon weighs more

Step - by - step explanation :

First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )

Second compare . . . 17 > 12

Hope this helped ! :D

write the equation of the line with slope -3/2 passes through the point (-12,16)​

Answers

Answer:

Step-by-step explanation:

You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.

y - y1 = m(x - x1)

In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.

The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.

So fill that in:

y - y1 = -3/2 (x - x1)

They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!

y - 16 = -3/2 (x - -12)

Simplify that ugly 'minus a negative' in the parenthesis.

y - 16 = -3/2 (x + 12)

If you were never told what form of equation to write, or they said "any form of the equation", then you're done!

This is in "point-slope" form.

y - 16 = -3/2(x+12) Ta-da!

If you need to change it to "slope-intercept' form then there are a few more steps.

y - 16 = (-3/2)x + (-3/2)12

y - 16 = (-3/2)x - 18

+16 +16

y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)

For 18-20, factor each of the following and show work.

18. 5x^4 - 25x

19. 4x^2 - 9

20. x^2+8x+12

Answers

Step-by-step explanation:

20. x^2+8x+12

x^2 + 6x +2x + 12

X(X+6) + 2(X+6)

(X+2) (X+6)

18. 5x^4 - 25x

5x(x^3-5)

19. 4x^2 - 9

4x^2/4 -9/4 = 0/4

x^2 = 9/4

X=√9/4

y = 2x + 7
3x - 4y = -13

Answers

The answer would be (x,y) = (-3, 1)

Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.

Answers

I did some research and I think the answer is 255


Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).

Answers

Answer:

  $39,227.50

Step-by-step explanation:

Vika's income will be ...

  $35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50

Vika's adjusted income is $39,227.50.

Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.

(-6,?)


3

4

5​

Answers

Answer:

i think y = 5 is answer

Step-by-step explanation:

good luck

Answer:

(-6, 5).

Step-by-step explanation:

2/3x+y-1=0

2/3(-6)+y-1=0

-12/3+y-1=0

-4+y-1=0

-4-1+y=0

-5+y=0

y=0-(-5)

y=0+5

y=5

-3x + 4y = -15 and 4x - y = -19

Answers

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

---------------

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°

Answers

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

5x+7x=180 a.___
12=80 b.__
x=15 C.___

Answers

Answer:

5x + 7x = 180

x = 15

Step-by-step explanation:

5x + 7x = 12x

180/12 = 15

The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су

Please Help


Answers

Answer:The answer is y = 67°.Step-by-step explanation:56 + y + (180 - 123) = 180=> 56 + y + 57 = 180=> y = 180 - 113=> y = 67°Conclusion:

Therefore, the answer is y = 67°.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Solution:

Note that:

Interior angles of a triangle sum up to 180°

This means that...

56 + y + (180 - 123) = 180

Let's simplify the equation to find y.

=> 56 + y + (180 - 123) = 180

Simplify the LHS.

=> 56 + y + (57) = 180

=> 113 + y = 180

Subtract 113 both sides.

=> 113 - 113 + y = 180 - 113

=> y = 180 - 113 = 67°

which ratio is equivalent to the ratio 7:6

Answers

Answer:

B. 21:18

Step-by-step explanation:

7/6 x 3 = 21/18

This means they are equivalent.

Answer:

Option B is correct.

Step-by-step explanation:

Let's first turn 7:6 into a fraction:

=> 7:6 = 7/6

Now, let's simplify all the options to see which one is the correct answer.

Option A:

=> 14:18=> 14/18=> 7/9=> 7/9 ≠ 7/6

Therefore, Option A is incorrect.

Option B:

=> 21:18=> 21/18=> 7/6=> 7/6 = 7/6

Therefore, Option B is correct.

Option C:

=> 21:12=> 21/12=> 7/4=> 7/4 ≠ 7/6

Therefore, Option C is incorrect.

Option D:

=> 18:14=> 18/14=> 9/7=> 9/7 ≠ 7/6

Therefore, Option D is incorrect.

We can conclude that Option B is correct.

[tex]BrainiacUser1357[/tex]

6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?

Answers

Answer:

$28

Step-by-step explanation:

30% = 30/100 = 0.3

40 x 0.3 = 12

40 - 12 = $28

You must include an explanation accompanied with your solution. Answers without
explanations will not receive full credit: *
2 points
Mark invested $125. He earned a simple interest of 3% per year on the initial
investment. If no money was added or removed from the investment, what was
the amount of interest Mark received at the end of two years?
A. $5.70
B. $7.50
C. $75.00
D. $750.00
Your answer

Answers

Answer:

B)  $7.50

Step-by-step explanation:

Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)

I = 125(.03)(2)

I = 7.5

Is this triangle a right triangle? Explain.

Answers

Answer:

hmm

Step-by-step explanation:

I can't see any triangle there..a right angled triangle is meant to look like this

plsss help mee i donot now the answer

Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.

1. If you live in Manila, then you live in the Philippines.

2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.

3. A square is not a triangle.

4. An even number is divisible by 2.

5. The measure of an acute angle is less than 90.​

Answers

Answer:

1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)

2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)

3. A square is not a triangle (conclusion)

4. An even number is divisible by 2. (conclusion)

5. The measure of an acute angle is less than 90. (conclusion)

Can someone please help me with this one? Thank you I appreciate it!

Answers

Answer:

25.92 sorry if i get this wrong!

Step-by-step explanation:

So to do the math properly you have to convert the 7.20 into a fraction as well so the 7$ will be a while number and the .20 would be over 100 being 20/100 since there’s 100cents in 1$, so that would be 7 20/100 and since the pounds is 3 3/5 the denominators have to be the same so you’ll have to divide the 20/100 until you have a same denominator so if you dive the numerator and denominator by 5 you get 4/20 (20/5=4, 100/5=20) then again you divide them both by 4 being 1/5 so that would be 7 1/5 x 3 1/5 so for each of them you multiply the bottom and add the top so 7x5 = 35+1= 36 so that’s your new numerator but the denominator remains the same so 36/5 and you do the same with 3 3/5 you multiply 3x5=15+ the 3 = 18/5 so then that would be 36/5 x 18/5 now you multiply both the numerators and denominators equaling 648/25 then that equals to 25.92$

which of the following are equivalent

Answers

Where’s the question?

what number could make this equations have no value of x. 3x+8 = 3x + ?

Answers

Answer:

All values of x :-

3x + 8 = 3x + 8 has Infinite solutions .

Just one value of X :-

3x + 8 = 3x + x is equal to 3x + 8 = 4x , which has one solution at x= 8 .

Step-by-step explanation:

I hope this helps you !!
?= anything
this is because the slope is the slopes are the same in both equations so they will cancel each other.

Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?

A.
triangle, square, circle, circle

B.
square, triangle, circle, circle

C.
square, circle, circle, triangle

D.
circle, circle, triangle, square

Answers

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n

Answers

A.3n+4+3n+4+4n

=3n+3n+4n+4+4

=10n+8

B.11n+4+n-12

=11n+n+4-12

=12n-8

C.6(6n-2)

=36n-12

D.4(3n-2)

=12n-8

E.4n+22-12+8n

=4n+8n+22-12

=12n+10

so,B and D are the expressions that are equivalent to 12n-8.

find three consectutive integers such that the sum of the second and third is -17

Answers

Answer:

-7, -8, -9

Step-by-step explanation:

-8 + -9 is -17

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

The measure of the fifth interior angle is 102 degrees.

A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.

In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from  sum of interior angles in a polygon.

Fifth interior angle = 540 - (88 + 132 + 100 + 118)

= 540 - 438

= 102 degrees

Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515

A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$637.54

Step-by-step explanation:

The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.

What two expressions are equivalent to 6.5 divided by 1.3?

Answers

Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130

Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)

Answers

Answer:4/9 pizzas

Step-by-step explanation:

I need help please? ????????

Answers

Answer:

ummmmm i really don't get it but I think its 17/66

Step-by-step explanation:

multiply in to each fraction

Kinsey adds -1 7/8 and it's opposite

Answers

Answer:

0

Step-by-step explanation:

the opposite is 1 -7/8 when you add them together they cancel out to zero

what are some expressions that are equivalent to

2(5n).

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]

[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]

[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]

[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]

[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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