(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:8x3 + 12x2 - X
B
4x3 -- 5x2 - x
C
-4x3 + x2 + 6x
2x3 + 4x2 -- 5x
Answers
Answer:
A- 8x^3 + 12x^2 - x
Step-by-step explanation:
The symbol ^ with a 2 is squared and ^ with 3 means cubed.
1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).
2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.
3. Now the equation should be simplified.
1 × 5x^2 = 5x^2
1 × 6x^3 = 6x^3
1 × 2x = 2x
-1 × 3x = -3x
-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.
-1× -7x^2 = 7x^2
4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2
5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.
6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.
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Answers
Interest= PNR/ 100.
where P is the principal
R is the rate of Interest
N is the no of years the sum has been invested for.
Since N is not given we assume that to be 1
Therefore we have
10x /100 + (7000 -x)*7/100= 580
Multiplying both sides by 100
10x+(7000-x)*7 = 58000
simplifying
10x+ 49000 - 7x = 58000
3x = 58000-49000
3x = 9000
x= 3000
therefore the sum of money invested at 7% = 7000 - 3000 = 4000
Final answer:
Using the given conditions, we establish two equations. The first from the total invested amount which of 7000 dollars and the second from the total interest of $580. We solve the system of equations to find the value of x, which signifies the amount invested at 10%. The rest of the money (7000 - x) was invested at 7%.
Explanation:
To solve this problem, we need to set up two equations based on the information given. These equations can be set up with the following assumptions: let us denote the amount of money invested at 10% as x and at 7% as 7000 - x.
- First equation would be derived from the total amount invested which was $7000, so x + (7000 - x) equals to 7000.
- The second equation can be established from the total interest which was $580, so 0.10x + 0.07(7000 - x) equals to 580.
Solve the system of these two equations to find the value of x. The solution will yield the amount that was invested at 10%. The rest of the $7000, that is (7000 - x), was invested at 7%, which is what we're looking for.
Learn more about mathematical problem solving here:
#SPJ2
at the grocery store. Of this amount, she spent
$27
on fruit. What percentage of the total did she spend on fruit?
Answers
27/60 = 0.45...multiply by 100 to get the percent 0.45(100) = 45%
b- xis the dependent variable,
c- D(6) = 3,
d- D(x) is a direct variation,
e- D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).
Answers
- x is the independent variable,
- D ( 6 ) = 2 · 6 = 12.
10 = 2 · 5, 12 = 2 · 9, - 4 = 2 · ( - 2 ).
True statements are:
A ) D ( x ) is a function.
D ) D ( x )is a direct variation.
E ) D ( x ) is arule for the set of points ( 5, 10), ( 6, 12 )and ( -2, - 4 ).
Answer:
A
E
D
Step-by-step explanation:
5y – 2z
Answers
Answer:
Step-by-step explanation:
We are given the expression:
We want to find the value of the expression when y=8 and z=9. Therefore, we must substitute 8 in for y and 9 in for z.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply 5 and 8.
Multiply 2 and 9.
Subtract 18 from 40.
The value of the expression 5y-2z at y=8 and z=9 is 22.
Answers
Answer:
The length of the insect is millimeter
Step-by-step explanation:
The size of the insect is part of a millimeter
millimeter
The length of the insect is millimeter
-graph B
-graph C
-graph D
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Answers
the closer the dots are to the imaginary line, te higher the number
D looks the closest together so that is first
A is a little farther apart
C is farther
B is farthers
DACB is order
Answer:
D,A,C,B
Step-by-step explanation: