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kogti [31]
3 years ago
13

Find the difference quotient f(x+h)-f(x)/h , where, for the function below. f(x)= -6x+3 Simplify your answer as much as possible

. HELP!!! will get five-star rating the brainiest
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

-6.

Step-by-step explanation:

Difference coefficient

=   -6(x + h) + 3 -  (-6x + 3) / h

=  -6x - 6h + 3 + 6x - 3 / h

=   -6h / h

=  -6.

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Solve 3 [-x + (2 x + 1)] = x - 1.<br> X=
Anna35 [415]

Answer:

-2

Step-by-step explanation:

1. Distribute: -3x + 6x + 3 = x-1

2. Combine like terms: 3x + 3 = x-1

3. Subtract 3 on both sides: 3x = x-4

4. Subtract x on both sides: 2x = -4

5. Divide each side by 2: x = -2

6. Check by plugging in -2 to the equation:

4 0
2 years ago
I Have 10 Minutes Hurry for Brainlist and pls be accurate
yulyashka [42]

To find the equation we will put the values of x and y in the equations and then check if LHS=RHS.

\large\red{\sf{y=3x-1}}

  • x=1
  • y=9

\begin{gathered}\\ \sf\longmapsto 9=3(1)-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9=3-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9≠2 \end{gathered}

\large\green{\sf{y=5x+4}}

\begin{gathered}\\ \sf\longmapsto 9=5(1)+4\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9=5+4\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9=9\end{gathered}

\large\blue{\sf{y=-2x-8}}

\begin{gathered}\\ \sf\longmapsto 9=-2(1)-8\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9=-2-8\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9≠10\end{gathered}

\large\pink{\sf{y=6x-8}}

\begin{gathered}\\ \sf\longmapsto 9=6(1)-8\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9=6-8\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9≠-2\end{gathered}

Hence, Option B. y=5x+4 satisfies the system (1,9)

7 0
2 years ago
Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.
nika2105 [10]

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

<h3>How to determine the ratio of the areas?</h3>

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

  • White = 64x²
  • Circle = 16πx²
  • Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

Read more about areas at:

brainly.com/question/24487155

#SPJ1

6 0
2 years ago
Please help, seventh grade math problem
user100 [1]

Answer:

12

Step-by-step explanation:

divide into two shapes. the first one being 2 x 4 units and the second being 2 x 2.

2 x 4 = 8

2 x 2 = 4

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The answer is 12 square units.

Please mark brainliest if it was correct and helped!

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