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3 years ago

Choose the equations that are not linear equations. - x - y = 2, x^2 + y = 4, x/2 - y^3 = 1, x = 5

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Answer:

x^2 + y = 4
x/2 - y^3 = 1

Step-by-step explanation:

Any equation with a product of variables, or with a variable in an exponent or denominator, is <em>not a linear equation</em>. Here, "product of variables" includes powers and roots—any expression with an exponent other than 1, or a total of exponents other than 1.

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Which expression is equivalent to the following complex fraction?

marta [7]

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

5 0

3 years ago

Read 2 more answers

Explain why the equation (x-6)^-13=12 has two solutions. Then solve the equation to find the solutions. Show your work.

Gala2k [10]

Answer:

x = 10 and x = (-2) are the solutions.

Step-by-step explanation:

In the given equation (x - 4)² - 28 = 8

we will first find the zero factors which will further decide the number of solutions.

(x -4)² - 28 = 8

(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)

(x - 4)² - 36 = 0

(x - 4)²- 6² = 0

(x - 4 - 6)(x - 4 + 6) = 0

(x - 10)(x + 2) = 0

Now the equation only two zero factors or two solutions.

x = 10 and x = -2

Answer is two solutions only x = 10 and x = (-2)

4 0

4 years ago

HELP......................................

djyliett [7]

Answer:

The equation's result: 32,000 (Rounded)

Goal: Find the closest or equivalent result in another expression

Step-by-step explanation:

$(1.5^{15})/(0.7^{12})\\(1.5^{15})/(0.7^{12}) = (437.894)/(0.7^{12})\\437.894/(0.014)\\31636.79$

How we got to 31,636 was by dividing from left to right.

Remember: When dividing decimals, it's like multiplying whole numbers in a way. The number(the quotient, also) ends up bigger instead of being smaller like when dividing whole numbers. If you multiply decimals, they(the product) end up smaller.

Therefore, A is the correct answer.

4 0

1 year ago

F(5) if f(x) = 3x - 2

iragen [17]

Answer:

f(5)=12

Step-by-step explanation:

Replace all x by 5

f(5)=3(5)-2

multiply 3 and 5 together

f(5)=15-2

Simplify:

f(5)=13

Hope this helps!

7 0

3 years ago

Read 2 more answers

What is the slope of the line that passes<br> through the points (-3,-2) and (2,-4)?

marta [7]

Answer:

Formula of the slope of the line

m=(y2-y1)/(x2-x1)

y2= -1, y1 = 4

x2=5, x1 = -2

m=(-1-4)/(5-(-2)) = -5/7

Answer is D. slope = -5/7

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers