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VLD [36.1K]
3 years ago
7

Does anyone know this?

Mathematics
2 answers:
frutty [35]3 years ago
5 0
Answer: D .............
scoundrel [369]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Given

g(x) = 2x² - 6x - 56 ← factor out 2 from each term

      = 2(x² - 3x - 28) ← factor the quadratic

Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)

The factors are + 4 and - 7, since

4 × - 7 = - 28 and 4 - 7 = - 3 , thus

x² - 3x - 28 = (x + 4)(x - 7) , then

g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B

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Determine whether Rolle's Theorem can be applied to f on the closed interval
Ierofanga [76]

Answer:

Yes, Rolle's theorem can be applied

There is only one value of c such that f'(c) = 0, and this is c = 1.5 (or 3/2 in fraction form)

Step-by-step explanation:

Yes, Rolle's theorem can be applied on this function because the function is continuous in the closed interval (it is a polynomial function) and differentiable  in the open interval, and f(a) = f(b) given that:

f(0)=-0^2+3\,(0)=0\\f(3)=-3^2+3\,(3)=-9+9=0

Then there must be a c in the open interval for which f'(c) =0

In order to find "c", we derive the function and evaluate it at "c", making the derivative equal zero, to solve for c:

f(x)=-x^2+3\,x\\f'(x)=-2\,x+3\\f'(c)=-2\,c+3\\0=-2\,c+3\\2\,c=3\\c=\frac{3}{2} =1.5

There is a unique answer for c, and that is c = 1.5

6 0
3 years ago
Read 2 more answers
Please help me please i really need help please help me
Delicious77 [7]

Answer:

The formula of the volume of a cylinder is known as follow

<h2>V= πr²h</h2>

Where

π is 3,14 or 22/7.

d (diameter) is a straight line segment that crosses a center and connects two points on the circle.

r is the radius of the to part of the cylinder.

h is the height.

we can subsitute to our formula knowing that

d = 4cm (turn to r = <em>2cm</em>,because the formula use r) ; h = 11cm

V = πr²h

= 3,14 × 2² × 11

= 3,14 × 4 × 11

= 3,14 × 44

= 138,16 rounded off (138,2cm3) result

5 0
3 years ago
The graph shows two lines, A and B.
muminat
Ur 1 solution is where the lines intersect, which is (1,4)
7 0
3 years ago
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Luca sells muffins and juice boxes at the
rosijanka [135]

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.

8 0
3 years ago
A student knows the height of a pyramid and the area of its base. What should the student do to find the volume of the pyramid
Varvara68 [4.7K]

Answer:

Multiply the area of the base by the height and divide by 3.

Step-by-step explanation:

V = (1/3)Bh

where B = area of the base, and

h = height

Answer: Multiply the area of the base by the height and divide by 3.

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