(x-6)(3x+7)
Expand and simplify

Answers

Answer 1

Answer: 3x^2 − 11x − 42

Step-by-step explanation:

Simplify  (x − 6) (3x + 7)

Expand (x − 6) (3x + 7) using the  FOIL Method.

Apply the distributive property.

  x (3x + 7) − 6 (3x + 7)  

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x + 7)

Apply the distributive property.

  x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Simplify and combine like terms.

Rewrite using the commutative property of multiplication.

  3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x by adding the exponents.

Move x.

  3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Multiply x by x.

  3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7

Move 7 to the left of x.

  3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7

Multiply 3 by −6.

  3x^2 + 7x − 18x − 6 ⋅ 7

Multiply −6 by 7.

  3x^2 + 7x − 18x − 42

Subtract 18x from 7x.

  3x^2 − 11x − 42

Answer 2

(x-6)(3x+7)
= 3x^2 + 7x - 18x - 42
= 3x^2 - 11x - 42

Related Questions

There are 48 jelly beans in a jar. The ratio of jelly beans
that are purple to the jelly beans that are not purple is
1:3. How many jelly beans are purple?

Answers

There would be 16 purple Jelly Beans.

which expression is equivalent to (3a+7) (2a-5)?

Answers

If you want me to simplify this is the answer.... 6a^2-a-35

Do these 3side lengths from a right triangle 13,80and 81

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 81

81² = 6561

13² + 80² = 169 + 6400 = 6569

Since 6561 ≠ 6569 then they do not form a right triangle

Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

What is reverse Pythagoras theorem?

Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".

What is right triangle?

A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."

According to the question,

Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.

Let a = 13, b=80, and c = 81

Reverse Pythagoras theorem  c² = a² + b²

(81)² = (13)² + (80)²

6561 = 169 + 6400

6561 ≠ 6569

Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

Learn more about reverse Pythagoras theorem here

https://brainly.com/question/343682

#SPJ2

Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $

Answers

Answer:

The total cost is [tex]\$23[/tex].

Step-by-step explanation:

Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].

To find: The total cost

Solution:

We have,

Original price of calculator[tex]=\$100[/tex]

Discount [tex]=80\%[/tex]

Sales tax [tex]=15\%[/tex]

Now, first we need to find the cost after applying the discount.

So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]

Therefore, the cost after applying the discount

[tex]=\$100-\$80=\$20[/tex]

Now, we have to find the sales tax. Therefore,

Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]

So, the total cost is [tex]\$20+\$3=\$23[/tex].

Hence, the total cost is [tex]\$23[/tex].

Answer:

$23

Step-by-step explanation:

Hope this helps

I need help asapp pls

Answers

B b b b b b b b b b b

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

I dont understand pls help me

Answers

Answer:

-1/3

Step-by-step explanation: it goes downwards from left to right so it is a negative and to reach the next line below it, it went to the right 3 units.

Therefore it is -1/3 :)

Find the slope of the line whose equation is 7x - 2y = 4.
-2
7/2
4/7

Answers

Answer: 7/2

To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.

82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)

Answers

Answer:

the answer is C

Step-by-step explanation:

hope this helps you

.82×23.7=19.434

Answer:

D

Step-by-step explanation:

step 1: Simplify 82/100 to its simplest form to by two to get 41/50

Step 2: multiply 41 by 23.7

41×23.7= 1971.7

Step 3: Divide 1971.7÷50=19.434

to the nearest hundredths =

19.4

PLEASE HELP I NEED HELP ASAP
What is the equation of a line perpendicular to y=x+12 that passes through (12,3) ?

I KNOW THE STEPS BUT I NEED TO KNOW IF M = 1 in y=mx+b

Answers

Answer:

[tex]y=-x+15[/tex]

Step-by-step explanation:

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Any line perpendicular to a given line with slope [tex]m[/tex] has a slope of [tex]-\frac{1}{m}[/tex]. Therefore, the slope of a line perpendicular to [tex]y=x+12[/tex] is [tex]-\frac{1}{1}=-1[/tex].

We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:

[tex]3=-1(12)+b,\\b=15[/tex]

Therefore, the equation of the line that is perpendicular to [tex]y=x+12[/tex] and passes through the coordinates [tex](12,3)[/tex] is [tex]\fbox{$y=-x+15$}[/tex].

Beth pays a total of $20 to rent skates and go ice skating for 2 hours.
If the cost for the skate rental is $6, what is the cost for each hour of ice skating?
Part A
Write and solve an equation to find the cost for skating for 2 hours before the skate-rental cost. Use s for the unknown number.
Hint
=S
S=
7
8
9
5
6
No

Answers

Answer:

for 2 hours of skating it will be 12$

Step-by-step explanation:

6+6=12 . (:

what is the difference between an isosceles triangle and an equilateral?​

Answers

A triangle that has 2 sides congruent is called an isosceles triangle.

A triangle that has all 3 sides congruent is called an equilateral triangle.

I have attached a picture below which will help you.

please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2

Answers

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?

Answers

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

The diagonal shortcut across a rectangular parking lot is 169 feet long. The lot is 144 feet wide. What is the length of the lot?
11.0 feet

25.5 feet

88.5 feet

110.5 feet

Answers

Answer: I think it is 25.5ft

Solve for a sqrt(a - b + c) = 3

Answers

[tex]\bold{\sqrt{a-b+c}=3 }[/tex]

[tex]\bold{(\sqrt{a-b+c)}^2=3^2 }[/tex]

[tex]\bold{ a-b+c=9 }[/tex]

[tex]\bold{ a=9+b-c }[/tex]

Sophie is buying a gold chain. The gold chain costs $2.50 per centimetre. How many centimetres can she buy if she has $30 to spend? *

Answers

Answer:

12 centimeters

Step-by-step explanation:

30/2.50 is 12

The average price of a movie ticket in 20 years will be at least $6 less than seven-thirds of today’s average ticket price. What could be the price of a movie ticket in 20 years if the current average price is $8.70? (Write an inequality or equation and solve it)

Answers

Answer:

This was on my test

Step-by-step explanation:

lol

30 points plz help
Use the draggable points to graph the equation
1
y=
2x+3

Answers

Answer:

Yeah its 7 because when you add 3+2=5, and x is 2, its 7

write a similarly statement comparing the two triangles​

Answers

Answer:

C. ΔBDC+~+ΔEDA

Step-by-step explanation:

Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;

<B ~ <E

<C ~ <A

D is a common angle to both triangles (right angle).

Also,

BC ~ EA

DC ~ DA

BD ~ ED

Thus, the statement that compares the two triangles is:

ΔBDC+~+ΔEDA (similarity property)

1. i will give you brainliest if ur right

Answers

Answer:

the answer of this question is......

I think 134

but I can't explain that

I'm so sorry

:-/

Answer:

141

Step-by-step explanation:

This is a seven-sided pentagon. We can find the total sum of all the angles in the pentagon first.

Sum of angles in a pentagon = (7-2) × 180

                                                = 5 × 180

                                                = 900

∠B = 900 - 148 - 90 - 142 - 130 - 129 - 120

     = 141

Remember:

Formula of sum of angles in pentagon = (n-2) × 180 where n is the number of sides the pentagon has. Hope this helps :)

The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)

Answers

(1,1)

(-1,-16)

(-5,8)

(-8,6)

(17,-3)

Find AC.
Round to the nearest tenth.
B
86°
16
С
11
A

Answers

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )

Answers

Answer:

the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

Step-by-step explanation:

Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true

Answers

Answer:

[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]

Easy area question

Need fast

Answers

Answer:

Ah I see it's the same it's a little more complex but I can do this as well.

But I can't type bcoz it will make it slow

so I'll write for this.ß

Which algebraic expression represents this mathematical statement? 32 more than a number

A. m
B. s
C. d
D. x

Answers

A.m which is an algebraic expression represents the mathematical statement 32 more than a number

Who's taking geometry and can help me?

Answers

i seen your comment on the other persons thing, it should be 60° :) correct me if i’m wrong!

I need helppppp........

Answers

Answer:

41*

Step-by-step explanation:

Help.
Please show workings.
See image for question.

Question :
1. Find the gradient of the tangent to the curve y = 2x²+5x-3 at the point where x = 1.

2. Find from first principle, the derivative of 3/x with respect to x​

Answers

Answer:

dy/dx

= d/dx [2x² + 5x - 3]

= 4x + 5.

Hence at x = 1, dy/dx = 4(1) + 5 = 9.

The slope of the tangent is 9.

d/dx (3/x)

= d/dx (3x^-1)

= 3 * d/dx (x^-1)

= 3 * [-1 * x^(-2)]

= -3/x².

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