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yaroslaw [1]
3 years ago
9

22. The area of a triangle can be represented by the expression 14x^5 + 63x^2. If the base is 7x^2, write

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

h = 4x ^ 3 + 18

Step-by-step explanation:

The first thing you should know for this case is that the area of a triangle is given by:

A = (1/2) * (b) * (h)

Where,

b: base.

h: height.

Clearing the height we have:

h = ((2) * (A)) / (b)

Substituting the values

h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)

Simplifying the expression:

h = ((2) * (2x ^ 3 + 9))

h = 4x ^ 3 + 18

answer

an expression to represent its height is

h = 4x ^ 3 + 18

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How do you write range on a graph?
Ratling [72]

The range of a function is the set of all possible outputs.

When the quadratic functions are in standard form, they generally look like this:

f(x) = ax^{2}  + bx + c

If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−\frac{b}{2a}). For example, consider this function:

f(x) = -2x^{2} + 8x -3\\

So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2

Then, we plug this in:

f(2) = -2(2)^{2} +8(2) -3 = 5

a is negative, so the range is all real numbers less than or equal to 5.

Learn more about range at

brainly.com/question/2264373

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4 0
1 year ago
You buy a new laptop for $299 99. The sales tax is 6%. Whay is the total cost for the laptop including sales tax?
defon
So to find 6% of 299.99, you should multiply it by 0.06%. Therefore you get about 17.99 which is the total tax. Add 299.99(total) and 17.99(tax) together, and you final answer should be around $317.98
8 0
3 years ago
a factory could produce 84 toy robots in one day. They purchased some new equipment. Now they can produce 105 robots in one day.
kompoz [17]

Answer:

The answer to the question is

25 % increase in production rate

Step-by-step explanation:

To solve the question, we note that

Initial number of products = 84 toy robots per day

Present production rate = 105 robots per day

The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100  

Where increase in production rate = 105 - 84 = 21

Percentage increase = 21/84 ×100 = 25 % increase

3 0
3 years ago
Write a compound interest function to model each situation. Then find the balance after the given number of years.
andriy [413]

Answer:

See explanation

Step-by-step explanation:

The standard compound interest formula is A = P(1+\frac{r}{n})^{nt} where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

So,

1)  A = 50000(1+\frac{0.03}{12})^{(12)(6)} =59847.42

2) A = 43000(1+\frac{0.05}{1})^{(1)(3)} =49777.88

3) A = 65000(1+\frac{0.06}{4})^{(4)(12)} =132826.08

You should check my answers though, I may have mixed up some terms.

3 0
3 years ago
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Alex73 [517]

Answer:

3x+5y

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

(9x+2y)-(6x-3y)

This can also be seen as:

(9x+2y)-1(6x-3y)

Distribute the -1 to (6x-3y):

(9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y

Simplify the parentheses:

9x+2y-6x+3y

Group like terms:

(9x-6x)+(2y+3y)

Combine:

3x+5y

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done

6 0
2 years ago
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