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liq [111]
3 years ago
7

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y = x squared + 2

x minus 5 a. D: all real numbers R: (y less-than-or-equal-to negative 6) c. D: all real numbers R: (y less-than-or-equal-to negative 5) b. D: all real numbers R: all real numbers d. D: all real numbers R: (y greater-than-or-equal-to negative 6) Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

y = x² + 2x - 5

d. D: all real numbers R: (y greater-than-or-equal-to negative 6)

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If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
How many faces does the solid made from the net below have?<br>​
nikdorinn [45]

Answer:We need to see the net.

Step-by-step explanation:

5 0
4 years ago
Factor the expression completely. 1/4x + 19/4
puteri [66]

Answer: i think it is... x = -19

8 0
3 years ago
Brainliest If Correct
natta225 [31]

Answer:

52

Step-by-step explanation:

Messed up, 292+52=240, I hope it’s correct for you,  I have Alzheimer, I hope is correct for you!

8 0
2 years ago
Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7
Zolol [24]

The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

<h3>Factorizing expressions</h3>

Factorization is a way of separating the equations into two separate factors.

Given the expression below;

14xy – 28x – 36y + 48

Group

(14xy – 28x) – (36y + 48)

14x(y - 2) - 12(3y-4)

Factor out the value of 2 from both terms

2[7x(y-2)-6(3y-4)]

Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

Learn more on factorization here: brainly.com/question/25829061

#SPJ1

7 0
2 years ago
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