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OleMash [197]
3 years ago
7

Funciones trigonométricas

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0
I don’t speak spanish lol
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Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.
polet [3.4K]

Answer:

The vertex is the point (-1,11). is a maximum

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex

a is a coefficient

if a > 0 the parabola open upward and the vertex is a minimum

if a < 0 the parabola open downward and the vertex is a maximum

we have

f(x)=-5x^{2}-10x+6

Convert to vertex form

Complete the square

f(x)-6=-5x^{2}-10x

Factor the leading coefficient

f(x)-6=-5(x^{2}+2x)

f(x)-6-5=-5(x^{2}+2x+1)

f(x)-11=-5(x^{2}+2x+1)

Rewrite as perfect squares

f(x)-11=-5(x+1)^{2}

f(x)=-5(x+1)^{2}+11

The vertex is the point (-1,11)

The coefficient a=-5

so

a < 0 the parabola open downward and the vertex is a maximum

5 0
4 years ago
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have
uranmaximum [27]

Answer:

Max number of bags is 16.

Step-by-step explanation:

7 0
3 years ago
Todd earned some money doing chores. He spent one-fourth of his money see a movie. Then he spent $6.00 on popcorn and drinks. Wh
Vsevolod [243]

Answer: Todd earned $40 mowing the neighbor's lawn.

Step-by-step explanation:

Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.

He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4

Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is

x/4 + 6

The amount left would be

x - (x/4 + 6) = x - x/4 - 6

When he went home, he had $24.00 left. It means that

x - x/4 - 6 = 24

x - x/4 = 24 + 6

x - x/4 = 30

Cross multiplying by 4, it becomes

4x - x = 120

3x = 120

x = 120/3

x = $40

7 0
3 years ago
Can someone solve this for me
Licemer1 [7]

Answer:

slope is 2 and y-intercept is 5

Step-by-step explanation:

3 0
4 years ago
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
AleksAgata [21]

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 3-7)/(2- -2)

   = (3-7)/(2+2)

    = -4/4

   = -1

6 0
3 years ago
Read 2 more answers
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