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3 years ago

X – 4 = 2x + 9 help me solve it step by step !

Mathematics

1 answer:

VashaNatasha [74]3 years ago

8 0

Step-by-step explanation:

x - 4 = 2x + 9

x - (2x) = 9 + (4)

-x = 13

x = -13.

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What is the difference of the polynomials? (x2 - 6x + 2) - (3x? – 7x-8)

bagirrra123 [75]

The difference is 10.

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2 years ago

Trevor has two fraction models, each divided into equal-sized sections. The

erma4kov [3.2K]

Answer:

I will answer in a general way because the options are not given.

We know that the area of model A is smaller than the area of model B.

For model A, we have 72 shaded sections, out of 100.

Then the quotient of model A is:

72/100 = 0.72

For model B we have 10 sections, and x shaded ones.

Because model B is greater than model A, we know that:

x/10 should be larger than 72/100

then we have the inequality:

x/10 > 0.72

x > 0.72*10

x > 7.2

And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:

10 ≥ x > 7.2

Then x can be any whole number in that interval.

the possible values of x are:

x = 8

x = 9

x = 10

5 0

3 years ago

i don’t know how to divide integers and i have a test tomorrow based on adding subtracting multiplication and division on intege

ryzh [129]

In order to divide integers, the first thing to check is the sign:

- When dividing two positive integers, the result will be a positive integer.

- When dividing two negative integers, the result will be a positive integer.

- When dividing integers with different signs (one negative and one positive), the result will be a negative integer.

Then, after checking the sign, we need to calculate the value of the division.

Some examples of divisions are:

$\frac{24}{8},\frac{-15}{5},\frac{-100}{-10}$

In the first division, the result is 3, because we have that 8 * 3 is equal 24.

Also, both numbers are positive, so the result is also a positive number.

In the second division, the result is -3, because 5 * (-3) is equal -15.

The result is negative, because the two numbers have different signs.

In the third division, the result is 10, because -10 * 10 is equal -100.

The result is positive, because both numbers are negative.

4 0

1 year ago

Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value

MArishka [77]

Answer:

y = 81-x
the domain of P(x) is [0, 81]
P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

Given

x plus y equals 81
x and y are non-negative

Find

P equals x squared y is maximized

Solution

a. Solve x plus y equals 81 for y.

y equals 81 minus x

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

P equals x squared left parenthesis 81 minus x right parenthesis

c. Find the domain of the function P found in part b.

left bracket 0 comma 81 right bracket

d. Find dP/dx. Solve the equation dP/dx = 0.

P = 81x² -x³

dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

P is maximized at (x, y) = (54, 27).

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3 years ago

Instructions: Find the area of the sector. Round your answer to the nearest tenth.

likoan [24]

Answer:

75.7m^2

Step-by-step explanation:

$\frac{30}{360} \times \pi {r}^{2} \\ \frac{30}{360} \times \frac{22}{7} \times {17}^{2} \\ \frac{1}{12} \times \frac{22}{7} \times 289 \\ 75.6904761905 = 75.7$

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3 years ago