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3 years ago

Can someone please help and explain? thank you. will give brainliest

Mathematics

1 answer:

Alik [6]3 years ago

3 0

Answer:

Domain: -4 ≤ x ≤ 4

General Formulas and Concepts:

<u>Algebra</u>

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, we see that our x-values span from -4 to 4. Since both are closed dots, they are inclusive in the domain:

[-4, -4] or -4 ≤ x ≤ 4

You might be interested in

Consider three consecutive positive integers, such that the sum of the

Greeley [361]

Answer:

Step-by-step explanation:

Let x represent the smaller integer. Then we have ...

(x +1)² +(x +2)² = 40x +5

2x² +6x +5 = 40x +5

x² -17x = 0 . . . . . subtract (40x+5), divide by 2

x(x -17) = 0 . . . . . factor

The solution of interest is x = 17.

The smaller integer is 17.

4 0

3 years ago

Find the measure of x.

Ratling [72]

<h3>Answer: B. x = 6</h3>

==========================================================

Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

7 0

2 years ago

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

How do I solve these questions? <br> 5(1+9v)<br> 20b+12<br> -9/4r=-9/2

MatroZZZ [7]

5(1+9v) = 5+ 45v
20b+12= 4(5b+3)
And the last one is r=2
Hope this helps!

7 0

3 years ago

Y=-x^2+20x-64 what is the max height

Inessa [10]

Answer:

Step-by-step explanation:

The maximum height is the y-coordinate of the vertex

given a quadratic in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = - x² + 20x - 64 is in standard form

with a = - 1, b = 20 and c = - 64, hence

$x_{vertex}$ = - $\frac{20}{-2}$ = 10

substitute x = 10 into the equation for y

y = - (10)² + 20(10) - 64 = 36 ← max height

8 0

4 years ago