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3 years ago

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the

Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

Answer:

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Step-by-step explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2

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Which shows the following expression after the negative exponents have been eliminated?

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Answer:

The given expression $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

Step-by-step explanation:

Given expression $\frac{a^3b^{-2}}{ab^{-4}}$

We have to write expression after the negative exponents have been eliminated and a ≠ 0 and b ≠ 0.

Consider the given expression $\frac{a^3b^{-2}}{ab^{-4}}$

We have to eliminate the negative exponents,

Using property of exponents, $x^{-m}=\frac{1}{x^m}$ we have ,

$b^{-2}=\frac{1}{b^2} \\\\b^{-4}=\frac{1}{b^4}$

Substitute, we get,

$\frac{a^3}{ab^{-4}}$ becomes $\frac{a^3b^{4}}{ab^{2}}$

Thus, the given expression $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

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3 years ago

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Find (4a-2b+c) - (5c + a - 4b)

Vladimir79 [104]

Removing the brackets gives 4a -2b +c -5c - a + 4b and then collect the like terms to get 3a + 2b - 4c

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3 years ago

Belinda builds a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes tall. Each dimension of April's rectangula

zepelin [54]

Answer:

96 cubes vol.

Step-by-step explanation:

the volume of Belinda's prism =

2×3×2 = 12 cubes vol.

Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.

the volume of April's prism =

(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.

so,

the volume of April's prism = (2)³ times the volume of Belinda's prism

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3 years ago

What is the solution for the equation 4x − 10 = 2x? x = ___. (Input whole number only).

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3 years ago

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In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.

Setler79 [48]

Answer:

7.89 births per minute

Step-by-step explanation:

525600 minutes in a year

4,148,000 divided by 525600 =

7.89193302892

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2 years ago