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OLEGan [10]
3 years ago
9

Compute the difference quotient StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right par

enthesis Over h EndFraction
f(x+h)−f(x)
h for the function f left parenthesis x right parenthesis equals negative 4 x squared minus 3 x minus 4.f(x)=−4x2−3x−4. Simplify your answer as much as possible.
StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction
f(x+h)−f(x)
hequals=nothing
Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

\dfrac{f(x+h) - f(x)}{h}=-8x-4h-3

Step-by-step explanation:

f(x)=-4x^2-3x-4

f(x+h)=-4(x+h)^2-3(x+h)-4

f(x+h)=-4(x^2+2xh+h^2)-3(x+h)−4

f(x+h)=-4x^2-8xh-4h^2-3x-3h-4

f(x+h) - f(x)=-4x^2-8xh-4h^2-3x-3h-4-(-4x2-3x-4)

f(x+h) - f(x)=-4x^2-8xh-4h^2-3x-3h-4+4x2+3x+4

f(x+h) - f(x)=-8xh-4h^2-3h

f(x+h) - f(x)=h(-8x-4h-3)

\dfrac{f(x+h) - f(x)}{h}=\dfrac{h(-8x-4h-3)}{h}

\dfrac{f(x+h) - f(x)}{h}=-8x-4h-3

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Tell whether (5. 10) is a solution of y = 6x – 18
almond37 [142]

Answer:

NO

Step-by-step explanation:

Simply enter 5, 10 in the x and y boxes to get the answer.

10=6(5)-18

10=30-18

10=12

As a consequence, it isn't a feasible option.

8 0
3 years ago
A photograph is 8 centimeters wide. After Kari enlarges the photograph, it is 3 times as wide as the original. How wide is the p
mr_godi [17]

Answer:24

Step-by-step explanation:Enlarges=multiply ,so multiply 8 and 3

6 0
3 years ago
Read 2 more answers
What are the factors of the equation 24x^2=9-30x?
Dennis_Churaev [7]

Answer:

3(4x - 1)(2x + 3)

Step-by-step explanation:

Rearrange the equation into standard form

Subtract 9 - 30x from both sides

24x² + 30x - 9 = 0 ← in standard form

Take out 3 as a common factor

3(8x² + 10x - 3) = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

product = 8 × - 3 = - 24, sum = 10

The factors are - 2 and + 12

Use these factors to replace the x- term, that is

8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )

2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)

(4x - 1)(2x + 3)

24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form

7 0
3 years ago
The surface area of this cube is 96 square meters. what is the value of y?
ELEN [110]
The formula for finding the surface area of a cube is A=6y^2 where y is the side length. we know a=96. so we just isolate y.
96/6= 6y^2 / 6
16=y^2
sqrt (16) = sqrt(y^2)
4=y

So y is 4

5 0
3 years ago
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The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Vesnalui [34]

Answer:

The height of the triangle is 6 cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  A=\frac{1}{2}bh where b stands for base and h stands for height.

Let's substitute 30 cm^2 for the area and 10 for the base.

30=\frac{1}{2} (10)h

-------------------->>>>

Now, let's solve to find the height.

30=\frac{1}{2}(10)h

Multiply \frac{1}{2} times 10

30=5h

Divide both sides by 5.

6=h

-----------------------------------------

Hope this is helpful.

4 0
3 years ago
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