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Mazyrski [523]
3 years ago
11

Need help understanding this problem please

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

f(g(x)) is a composite function:

f(g(x))=f(\sqrt{x+5})=2\sqrt{x+5}-1

Plug in <em>x</em> = 4:

f(g(4)) = 2\sqrt{4+5}-1=2\sqrt9-1=2\cdot3-1=\boxed{5}

so the answer is C.

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Kite ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordina
Svetach [21]
The answer:

according to the image the coordinates of pre image are:

A(-7, 2), B(-5, 3) C(-2, 2) and D(-5, 1)

<span>Kite ABCD is reflected over the line y = x, the main rule to find the coordinates of the images is  (y, x)

for example if A(-7, 2) the image  A' is A'(2, -7)

the answer is </span><span>(x,y)→(y,x); A' is at (2, −7)</span>
4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-12%3D-4x" id="TexFormula1" title="x^{2} -12=-4x" alt="x^{2} -12=-4x" align="abs
Anit [1.1K]

Answer:

The answer for Factorization is (x+6)(x-2) = 0 or Solving for x is 2 and -6.

Step-by-step explanation:

x² - 12 = -4x

Factorisation :

x² + 4x - 12 = 0

x² - 2x + 6x - 12 = 0

x(x-2)x + 6(x-2) = 0

(x+6)(x-2) = 0

Solve for x :

(x+6)(x-2) = 0

x + 6 = 0

x = -6

x - 2 = 0

x = 2

3 0
3 years ago
Solve for x: one over eight (8x + 15) = 24
Vsevolod [243]
The answer is 177/8 or one hundred seventy seven over eigth.

1/8(8x + 15) = 24

Multiply both sides by 8:
8* 1/8(8x + 15) = 8 * 24
8x + 15 = 192


Subtract 15 from both sides:
8x +15 - 15 = 192 - 15
8x = 177

Divide both sides by 8:
8x/8 = 177/8
x = 177/8

8 0
3 years ago
Read 2 more answers
3x+2y=10<br> 12x+5y=25<br><br> Solve by substitution or elimination
zaharov [31]
3x + 2y = 10 ....multiply by -4
12x + 5y = 25
-------------------
-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5

3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0

solution is (0,5)
5 0
3 years ago
Solve the inequality x-4 &lt; - 3.Then graph the solution set.show your work.
bearhunter [10]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

<u>  + 4    +4</u>                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

8 0
3 years ago
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