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Darya [45]
4 years ago
6

Please explain it and tell me how u got the answer Thx

Mathematics
1 answer:
denis-greek [22]4 years ago
4 0
The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.

If you want them to differ by zero (be the same), you have to move them to the same point.

Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.

Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.

Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.

Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.

___
The appropriate choice is the 1st one.
  f(x) - 3 and
  g(x) + 1

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Which is the best step to do next to solve the equation by completing the square?
expeople1 [14]

Answer: the correct answer is 9(x2+6x+9)=103 so it’s d

Step-by-step explanation:

Did it on edgunity

8 0
3 years ago
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What is 4x9.4 SHOW YOUR WORK!!!
Anettt [7]

Answer:

37.6

Step-by-step explanation:

Multiply the numbers

8 0
3 years ago
7(x−5)−9=334 what is the answer of x
slega [8]

Answer:

\boxed {x = 54}

Step-by-step explanation:

Solve for the value of x:

7(x - 5) - 9 = 334

-Use <u>Distributive Property</u>:

7(x - 5) - 9 = 334

7x - 35 - 9 = 334

-Combine like terms:

7x - 35 - 9 = 334

7x - 44 = 334

-Add both sides by 44:

7x - 44 + 44 = 334 + 44

7x = 378

-Divide both sides by 7:

\frac{7x}{7}= \frac{378}{7}

\boxed {x = 54}

Therefore, the value of x is 54.

8 0
3 years ago
For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in
Rainbow [258]

Answer:

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}  \begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}

Generally the echelon reduction is mathematically applied as

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}

Add -2 times the 1st row to the 2nd row

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}

Multiply the 2nd row by -1/8  

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}

Add -1 times the 2nd row to the 3rd row

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}

Multiply the 3rd row by -8/41

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Add -3 times the 2nd row to the 1st row

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

3 0
3 years ago
What is the surface area of the rectangular prism below 7, 7, 14
Julli [10]

Answer:

Surface Area   A = 490 cm²

Step-by-step explanation:

Surface area of a prism A = 2(w l +h l + h w)

where l = length

        w = width

        h = height

l = 7 cm; w = 7 cm ; h = 14 cm

Surface Area = 2 { ( 7 × 7) + ( 14 × 7) + ( 14 × 7)}

            A = 2 { 49 + 98 + 98}

            A = 2 × 245

            A = 490 cm²

8 0
3 years ago
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