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prisoha [69]
3 years ago
6

Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

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The width of a rectangle is the length minus 2 units. the area of the rectangle is 35 units
Mariana [72]

Answer:

Length=7units\\\\Width=5units

Step-by-step explanation:

Width=(Length-2) units

W=(L-2) units

Area of the rectangle= 35 square units

Area = length* Width

35= L*(L-2)\\\\35=L^2-2L

Subtracting 35 both sides:

L^2-2L-35=0

Solving the quadratic equation for 'L' ;

Using factorization:

L^2+5L-7L-35=0

Taking common from the equation :

L(L+5)-7(L+5)=0\\\\(L+5)(L-7)=0\\\\L+5=0\\\\L=-5

OR

L-7=0\\\\L=7

The length cannot be negative, therefore Length(L)= 7

Width=Length-2\\\\=7-2\\\\=5 units

Length=7units\\\\Width=5units

8 0
3 years ago
brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar
soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0
2 years ago
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anzhelika [568]

Answer:

See below

Step-by-step explanation:

Remember that quadratic functions are parabolas when graphed.  The solutions are where the parabola crosses the x-axis.

1.   The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up.  So the parabola does not cross the x-axis.  Therefore the solutions are imaginary.

2.  The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up.  Therefore, there is a double solution.

3.  The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up.  Therefore, there are two real solutions.

I know this is a long explanation, but that is a way of looking at the problem.

6 0
2 years ago
What is the volume of a sphere if it has a radius of 2 feet? (Use 3.14 for π .) 33.49 ft 3 100.48 ft 3 75.36 ft 3 25.12 ft 3
cricket20 [7]
I think the answer is the first one
5 0
3 years ago
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Serjik [45]

Answer:

I'm gemini

Step-by-step explanation:

I won't report u cause I need these points

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2 years ago
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