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3 years ago

9

Which of the following equations has a maximun?

2 answers:

dlinn [17]3 years ago

8 0

Answer:

The answer is option D.

y = - 7x² - 1

It's maximum is ( 0 , - 1)

Hope this helps you

Vedmedyk [2.9K]3 years ago

5 0

Linear functions never have maxima and minima, so a) is discarded.

In the options there are quadratic functions, they can present either a maximum or a minimum.

You can know instantly by seeing the sign of the variable ${x}^{2}$ , <em>if positive the parabola opens up</em>, <u>then it will have a minimum</u>, <em>if negative the parabola opens down</em>, <u>having a maximum.</u>

$\mathbb{ANSWER} \rightarrow \boxed{ \boxed{y = - {7x}^{2} - 1 }}$

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What are the exact solutions of x2 = 5x + 2? (1 point)

bazaltina [42]

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

$x^2=5x+2$

$x^2-5x-2=0$

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form $ax^2+bx+c=0$ , the roots can be found with the equation: $x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $x=\frac{-b-\sqrt{b^2-4ac} }{2a}$ .

Here, a = 1, b = -5, and c = -2, so plug these in:

$x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}$

OR

$x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}$

Thus, the answer is A.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Which of the following is the solution to |-2x-15|≤7

sergeinik [125]

Answer:

Step-by-step explanation:

C. -11<x<-4

|-2x-15|<7 split into possible cases

- 2x - 15 < 7, - 2 x - 15 > 0

-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities

x>-11, x < -15/2

x< -4, x> -15/2 Find the intersections

[ -11, -15/2 ]

-15/2, -4] Find the union

[-11, -4 ] Simplify

-11<x<-4

5 0

3 years ago

Raymond is building a fence for a dog run. the dog run will be a rectangle with a length of 24 feet and a width that is 2/5 the

Cerrena [4.2K]

Answer:

The perimeter of the dog run will use 67.2 feet of fencing.

Step-by-step explanation:

First find how long the width is.

24 * 2/5 = 9.6

The width of the fence is 9.6 feet.

To find the total perimeter, add double the length and width.

24 * 2 = 48

9.6 * 2 = 19.2

48 + 19.2 = 67.2

3 0

3 years ago

A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the

Wittaler [7]

Answer:

The surface area of the given pyramid is 112 $inches^{2}$ .

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = $length^{2}$

= $4^{2}$

= 16

Area of its base = 16 $inches^{2}$

Area of one of its triangular surface = $\frac{1}{2}$ x base x height

= $\frac{1}{2}$ x 4 x 12

= 2 x 12

= 24 $inches^{2}$

Area of all its four triangular surfaces = 4 x 24

= 96 $inches^{2}$

surface area of the pyramid = sum of areas of all its surfaces

= 16 + 96

= 112 $inches^{2}$

The surface area of the given pyramid is 112 $inches^{2}$ .

8 0

3 years ago

Solve for x and y 4x, 15 X + 12, 3y<br>(it's for a parallelogram)

yan [13]

Answer:

done on peace of paper

Step-by-step explanation: bro this was so easy how do you not know this

7 0

3 years ago