Answer:
a .[tex] \frac{21 {a}^{3} }{3 {a}^{2} } = 7a[/tex]
b.[tex](2x + y)(x - y) \\ = 2 {x}^{2} - 2xy + xy - {y}^{2} \\ = 2 {x}^{2} - xy - {y}^{2} \\ [/tex]
a.[tex]3x + 2y - 2x + y \\ = x + 3y[/tex]
I hope I helped you^_^
Answer:
a = 7a, b = [tex]2x^2 - yx - y^2[/tex]
Step-by-step explanation:
a. 21 / 3 = 7. [tex]a^3 / a^2 = a[/tex] (exponents are basically subtracted when dividing), creating 7a
b. [tex](2x + y)(x-y)[/tex]
Use FOIL for this or use the distributive property, either way. Then combine like terms
[tex]2x^2 - 2xy + yx - y^2[/tex]
[tex]2x^2 - yx - y^2[/tex]
If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?
A piece of string is 1650 cm long.
It is cut into two unequal pieces.
One piece is 150 cm longer than the other.
How long is the smaller piece?
Answer: The smaller piece is 750m long.
Step-by-step explanation:
let the smaller piece be x
so
150m + x + x = 1650
150 + 2x = 1650
or, 2x = 1500
so, x = 750 m
You are taking flying lessons to get a private pilot's license. The cost of the introductory lesson is 5/8 the cost of each additional lesson, which is $80. You have a total of $375 to spend on the flying lessons. How many lessons can you afford? How much money will you have left?
ANSWER:
Step-by-Step:
Answer: 5 lessons with 5$ left over
Step-by-step explanation:
You can buy 5 lessons because 50 is 5/8 of 80, and 50 + 80 + 80 + 80 + 80 = 370
The equation 6x + 5 = 5x + 11 +x-6 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe
what happens.
Answer:
It will ALWAYS be true!
Step-by-step explanation:
Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.
Hope this helped!
Question 2:
You are comparing the price of two different cars. The cost of car A f(x) after x years can be represented by the function:
Car A: f(x) = 22,500(0.88)x
The table shows the cost of car B g(x) after x years:
Car B:
1 year 24,750
2 years 20,495.48
3 years 16,970.26
g(x), cost in dollars
a) Is the cost of Car A increasing or decreasing? How do you know? By what percentage is it changing each year?
b)What is the percent change for Car B?
c)Whose percent change per year is greater, Car A or Car B?
I thinking that the answer is B.
Calculate the distance between the points -8,2 and 3,2 on a coordinate plane
[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]
[tex]\\ \rm\Rrightarrow 11[/tex]
Find the total surface area.
A. 422 in²
B. 554 in²
C. 638 in²
D. 517 in²
Answer:
c
Step-by-step explanation:
you have to find the surface area of all sides. so (11*11)*2 and (11*9) *4 with this you get c. 638in square.
3c = 2(c - 1)
How to write that as a verbal sentence
Answer:
3 times a value is equal to twice as much as it's predecessor.
Qualitative forecasting techniques should be applied in situations where time series data exists, but where conditions are expected to change.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPP
Solve the equation
X/24 = 19
Answer:
x = 456
Step-by-step explanation:
X/24 = 19
Multiply 24 by each side
X/24 * 24 = 19*24
x = 456
Given m|n, find the value of x.
(8x-20)
(8x+8)
Answer:
x=12
Step-by-step explanation:
(8x-20)+(8x+8)=180
16x-12=180
16x=180+12
16x=192
x=12
Answer:
x = 12
Step-by-step explanation:
The given angles are supplementary. Therefore, they have a sum of 180°.
8x - 20 + 8x + 8 = 180
16x - 12 = 180
16x = 192
x = 12
find the quotient of (6x^2+x-12)÷(2x+3)
3x-4 is the quotient okkk
7. Fuji the woodworker sells cribs. His start-up
costs total $2000. Labor and material for
each crib cost $185. If the formula for his
Cost(C) based on (n) number of cribs is:
C=2000 + 185n , Tell what the rate of change
is and what it tells us about Fuji's expenses.
Answer:
The rate of change is 185.
It tells us that Fuji's expenses increase by $185 for each additional crib made.
Step-by-step explanation:
In a linear equation, the rate of change is the change in y over the change in x.
In this situation, that means how much the cost will change based on the amount of cribs that Fuji has to make.
Since labor and material costs for each crib cost $185, 185 is the rate of change.
For every additional crib that Fuji makes, the cost will increase by $185.
So, the rate of change is 185 and it tells us that Fuji's expenses increase by $185 for each additional crib made.
What is the Answer to 50 + 10 x 0 + 7 + 2
Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
Given that:
[tex]50 + 10 \times 0 + 7 + 2[/tex]
To do this, we apply BODMAS.
First, we evaluate all multiplication operations
[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]
Then evaluate all addition operations
[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]
Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]
Read more about arithmetic at:
https://brainly.com/question/17522487
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs
Answer:
7 DVDs
Step-by-step explanation:
We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.
3.50d + 5 = 29.50
~Subtract 5 to both sides
3.50d = 24.50
~Divide 3.50 to both sides
d = 7
Best of Luck!
1 Write the decimal equivalent for 6 3 Choose the correct answer below. 1 A. 6= 6.34 3 1 OB. 6-6.333333 63 OC. 69 = 6.33 D. 65 - 6.3
Answer:
D
Step-by-step explanation:
What is the distance between the points shown on the coordinate plane below? Round your answer to the nearest tenth.
which graph should Mr.Salinas use to presentation to the city council and why?
Answer:
The Salinas Plan
The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis. The Salinas Plan may be found here.
The Salinas Plan Story
The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018. The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies. The Salinas Plan presented the following key findings:
- The City of Salinas is on a fiscally unsustainable path. While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.
Step-by-step explanation:
You have 2 tablets, one is labeled 0.15 mg and the other is labeled 0.3 mg. What is the total dosage of these tablets? a) 0.35 mg b) less than 0.35 mg c) more than 0.35 mg
Which of the following is equivalent to f(x)?
Answer:
D. [tex]x^{-3/2}[/tex]Step-by-step explanation:
Given function:
[tex]f(x) = \frac{1}{x\sqrt{x} }[/tex]Equivalent expression is:
[tex]\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}[/tex]Correct choice is D
If I ate 80 pieces of candy, how much candy would I have left if I ate 3/4 of the candy
Answer:
20
Step-by-step explanation:
Divide 80 by 4, get 20,
20 40 60 80
Step-by-step explanation:
[tex]thank \: you[/tex]
2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr
Answer:
It takes four hours because the little bro is alone and only one lawn mower is used
4 and 1 over 4 divided by 1 and 7 over 8
Answer:
3 and 23 Over 32
Step-by-step explanation:
Done
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Pls solve it ! urgent plsss
1. Dorothy was able to answer yes to 16/25 of the survey questions. What is 16/25
written as a decimal?
Answer:
16/25 as a decimal is 0.64
Step-by-step explanation:
One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!
Divide total people by total flights:
3720/31 = 120
There was 120 people on each flight
I hate financial maths. 20 points!!!
According to the table,
• € 1 = R 12,75
• $ 1 = € 0,70
• $ 1 = R 8,89
Then
€ 250 × (R 12,75 / € 1) = R 3.187,5
$ 1300 × (€ 0,70 / $ 1) = € 910
$ 680 × (R 8,89 / $ 1) = R 6.045,2
Find the slope of the line passing through the points (-2, 1) and (3,-7)
[tex]\\ \rm\Rrightarrow Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\Rrightarrow Slope=\dfrac{-7-1}{3+2}[/tex]
[tex]\\ \rm\Rrightarrow Slope=\dfrac{-8}{5}[/tex]
Find the distance of GF if G(9,1) and F (0,2)
Answer:
9.06 units
Step-by-step explanation:
The distance formula for points on a graph is basically the Pythagorean Theorem
√(x2 - x1)² + (y2 - y1)²
Plug in the values and you'll get √82, which equals about 9.05539, or 9.06