Given:
The expression is
[tex]9x^3-39x^2-30x[/tex]
To find:
The factors by grouping method.
Solution:
We have,
[tex]9x^3-39x^2-30x[/tex]
Taking out common factors, we get
[tex]=x(9x^2-39x-30)[/tex]
Splitting the middle term, we get
[tex]=x(9x^2-45x+6x-30)[/tex]
By grouping method, we get
[tex]=x(9x(x-5)+6(x-5))[/tex]
[tex]=x(x-5)(9x+6)[/tex]
Therefore, the factor form of given expression is x(x-5)(9x+6).
HELP SOLVE ASAP
Vanessa needs to rent a car while on vacation. The rental company charges $17.95, plus 18 cents for each mile driven. If Vanessa only has $40 to spend on the car rental, what is the maximum number of miles she can drive? _________________________Miles
Answer:
2 miles.
Step-by-step explanation:
17.95 +17.95= 35.90
Mr. O'leary works as a cook at a pizzeria. Yesterday, he prepared 6 pizzas in
10 minutes. Today, he prepared 15 pizzas in 25 minutes.
Does the scenario represent a direct variation? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
In 5,368,407, which digit is in the thousands place?
Answer:
the 8
Step-by-step explanation:
It goes in order:
ones: 7
tens: 0
hundreds:4
thousands: 8
and it keeps going
What is −3/4x−1/3+7/8x−1/2 written in simplest form?
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The simplest form of expression - 3/4x - 1/3 + 7/8x - 1/2 is,
⇒ x/8 - 5/6
The given expression is,
⇒ - 3/4x - 1/3 + 7/8x - 1/2
Now, We can simplify the expression by combining like terms as,
⇒ - 3/4x - 1/3 + 7/8x - 1/2
⇒ - 3/4 x + 7/8x - 1/3 - 1/2
⇒ - 6/8x + 7/8x - 1/3 - 1/2
⇒ (- 6 + 7)x/8 - (1/3 + 1/2)
⇒ x/8 - (3 + 2)/6
⇒ x/8 - 5/6
Therefore, The simplest form of expression - 3/4x - 1/3 + 7/8x - 1/2 is,
⇒ x/8 - 5/6
Learn more about the mathematical expression visit:
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I will MARK AS BRAINLIEST.
How do you decide whether the larger unit rate or the smaller unit rate is the better buy? Please help me.
Answer:
The smaller unit rate is a better buy
Step-by-step explanation:
Given
Larger unit rates and smaller unit rates
Required
Determine which is a better buy
To answer this, I'll use the following assumptions.
If store A and store B sell the same product at $2/ unit and $3/ per unit respectively.
At store A (with $2/unit), you will get 50 of that product at 50 * 2 = $100
At store B (with $3/unit), you will get 50 of that product at 50 * 2 = $150
Meaning that, you will spend more at the store with the larger unit rate (and you don't want that, do you?)
Hence, the smaller unit rate is a better buy.
Please someone help me
Answer:
C) <BAC ≈ <QPR and BC ≈ QR
Step-by-step explanation:
C) <BAC ≈ <QPR and BC ≈ QR
What is the side length of the smallest square plate on which a 28-cm chopstick can fit along a diagonal without any overhang?
Answer:
19.8
Step-by-step explanation:
you have 28 divide it by 2 and then multiply it by the square root of 2
Any regular polygon can be divided into the same number of _____ triangles as the polygon has sides.
Answer:
Congruent
Step-by-step explanation:
Any regular polygon can be divided into the same number of congruent triangles as the polygon has sides.
Hope it helped!!!
11. Find the measure of each missing angle
& 13 please
Answer:
1. 35
2. 145
3. 55
4. 125
5. 55
13. x= 19
Step-by-step explanation:
Hello! Really need some help with this
Answer:
F
Step-by-step explanation:
Brainliest ?!?!!?!?
I’m on a timer PLZ HELP
Answer:
answer is b
Step-by-step explanation:
1. — 2X >6
How do you solve this
Answer:
x<-3
Explanation:
Divide both sides by -2 to isolate x.
Since you have divided by a negative number and it changed the positive number to a negative one, you'll need to change the direction of the sign to now reflect that.
I hope that helped!
sana tama po
(I NEED HELP ASAP) What is solution to the inequality: -8x - 15 ≥ 9
Answer:
x ≤ −3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
GIVING BRAINLIEST!
What is the measure of x?
Angles are not necessarily drawn to scale
Answer: x = 31°
Step-by-step explanation:
Ruchi travelled 149 cm 415 in a week How much distance did she travel in a day
Answer:
171.85 cm
Step-by-step explanation:
Given data
We are given that the distance = 149 cm 415in
Let us mark the units uniform by converting inches to cm
1 inches = 2.54cm
415 inches= x cm
cross multiply
x= 415*2.54
x= 1054.1 cm
Hence the total distance in cm is 1054.1+149= 1203cm
If in 7 days he travels 1203cm
in 1 day he will travel x cm
cross multiply
7x= 1203
divide both sides by 7
x= 1203/7
x= 171.85 cm
1,870 /210 = x what is x?
Q11.
The diagram shows a trapezium.
x-4
Diagram NOT
accurately drawn
2x
x + 5
All the measurements are in centimetres.
The area of the trapezium is 351 cm2.
(a) Show that 2x2 + x - 351 = 0
Answer:
Step-by-step explanation:
The area of a trapezium is given as;
Area = [tex]\frac{1}{2}[/tex](a + b)h
where: a is the length of the upper side, b is the length of its base and h is its height.
This implies that; a = x - 4, b = x + 5, h = 2x and area = 351
Thus,
351 = [tex]\frac{1}{2}[/tex]((x - 4) + (x + 50)) 2x
= (x - 4 + x + 5) x
531 = (2x + 1) x
= 2[tex]x^{2}[/tex] + x
So that;
2[tex]x^{2}[/tex] + x - 531 = 0
This gives a quadratic equation.
Question 7
1 pts
Simplify the following expression:
-9(14p - 8) - 4p
-130p + 72
O 122p - 72
0-130p - 18
O 130p - 72
Answer:
Step-by-step explanation:
i
Jason mows lawns to earn extra money he mows 6 lawns in 2 hours. How many hours will it take him to mow 30 lawns
Answer:
10 hours
Step-by-step explanation:
Your Welcome
Answer:
10 hours
Step-by-step explanation:
6 lawns = 2 hours
3 lawns = 1 hour
30 lawns ÷ 3 lawns per hour = 10 hours
It takes him 10 hours to mow 30 lawns.
Simplify -2 (x+8) +1 (3x+16)
Answer:
Ans : =x
brainliest plsssssss
Step-by-step explanation:
Let's simplify step-by-step.
−2(x+8)+1(3x+16)
Distribute:
=(−2)(x)+(−2)(8)+(1)(3x)+(1)(16)
=−2x+−16+3x+16
Combine Like Terms:
=−2x+−16+3x+16
=(−2x+3x)+(−16+16)
=x
The length of a rectangle is twice its width if the perimeter of the rectangle is 42 inches find its length and width
PLSSSS HELP FASTTT
Answer:
Length = 14, Width = 7
Step-by-step explanation:
Step 1:
Length + Length + Width + Width = Perimeter
Step 2:
2w + 2w + w + w = 42
Step 3:
6w = 42
Step 4:
w = 7
Step 5:
7 × 2 = 14
i hope this helps you. :)
Answer:
Length = 14, Width = 7
Step-by-step explanation:
Help I need this done by today at 3pm :(
Answer:
1) answer (c) x-10
2) answer d) 0x
Step-by-step explanation:
1) x^2-12x+20/x-2
(x-2)(x-10)/x-2 = x-10
2) (2x^3+5x^2+0x+9)/(x+3)
now it can be divided by x+3
For this graph, mark the statements that are true.
Answer:
C and DStep-by-step explanation:
Given is the graph of the function with no restrictions.
The domain and range are all real numbers.Correct options are C and D
Answer:
C and d
Step-by-step explanation:
given in the graph of the function with no restriction the domain and range are all real number
Hayden invested $200 in a savings account that earned 3.3% simple interest each year. William invested $300 in a savings account that earned 2.5% simple interest each year. Neither Hayden nor William add or take out money from their accounts. Hayden claims that she will earn more interest on her account than William after 2 years because she has a greater interest rate. Do you agree with Hayden? Why or why not? Be sure to defend your answer with numbers.
Answer:
No i do not agree
Step-by-step explanation:
4.
3. Main Middle School needs to raise
more than $500 to purchase new
curtains for the theater. They are
selling pencil bags for $2.50 each.
Write and solve an inequality to
find the minimum number of
pencil bags they need to sell to
reach their goal.
Answer:
200
Step-by-step explanation:
500÷2.5
Which equation is true answer ASAP!
15 divided by 112.5=7.5
15 divided by 112.5=75
112.5 divided by 15=7.5
112.5 divided by 15=75
Answer:
112.5 divided by 15=7.5
112.5 divided by 15=7.5 equation is true answer.
Given option are:
15 divided by 112.5 = 7.5
15 ÷ 112.5 = 0.1333
This option is wrong.
15 divided by 112.5 = 75
15 ÷ 112.5 = 0.1333
This option is wrong.
112.5 divided by 15 = 7.5
112.5 ÷ 15 = 7.5.
This option is right.
112.5 divided by 15 = 75.
112.5 ÷ 15 = 7.5.
This option is wrong.
Therefore, the correct equation is 112.5 divided by 15=7.5
Learn more about divide here:
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If a total amount is $1.69 and 24 cookies were made, how much will per cookie cost?
Answer:
40.56
Step-by-step explanation:
Answer: about 7 cents
Step-by-step explanation:
1.69/24=0.07..
-3х + 25 = 40
I need help
Answer:
x=-5
Step-by-step explanation:
-3x+25=40
-25 -25
-3x=15
/-3 /-3
x=-5
Hope I helped!
Answer:
x= -5
Step-by-step explanation:
1. Subtract both sides by 25.
[tex] - 3x + 25 - 25 = 40 - 25[/tex]2. Divide both sides by -3
[tex] - 3 x= 15[/tex]
[tex] \frac{ - 3x}{ - 3} = \frac{15}{ - 3} [/tex]
3. Simplify
[tex]x = - 5[/tex]
In a mosaic, 18 tiles out of 50 are blue. What percent of the tiles are blue?
Answer:
The answer is 36%
Step-by-step explanation:
18/50 x2 = 36/100
.36 = 36%
Hope this helps
Answer:
36%
Step-by-step explanation: