given g(x) √x-4 and h(x) = 2x - 8
what are the restrictions on the domain of g • h?
x ≥ ____
Answers
Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
6
Step-by-step explanation:
Related Questions
Which of the following statements explains how to solve for l using the formula A = lw, when A = 28 1/4 and w = 2 1/2?
1. Subtract 2 1/2 from 28 1/4.
2. Divide 2 1/2 by 28 1/4.
3. Multiply 28 1/4 by 2 1/2.
4. Divide 28 1/4 by 2 1/2.
Answers
Answer:
4
Step-by-step explanation:
you have to reverse the equation is A=lw then to get l you use l=A/w
Answer:
Divide 28 by 2
Step-by-step explanation:
When the variable of interest is multiplied by something, you undo that multiplication by dividing the equation by that something.
Here, l is multiplied by 2, so the solution is found by dividing ...
... 28 = l·2
by 2 to get ...
... 28/2 = l
That is, you divide 28 by 2 to find l.
What is -1/8 - 0.356
Answers
Answer:
-0.481
Step-by-step explanation:
-1/8 is equal to -0.125
-0.125 - 0.356 = -0.481
What are the coefficients in "5+8x+7+6x+2"
Answers
The coefficient is 8 +6
WILL MARK BRAINLIEST! PLEASE HELP!
Write 206 in base 7
Answers
Answer:
wut
Step-by-step explanation:
Is (x+3) a factor of P(x)=2X³+5X²+X+10 explain
Answers
Answer:
Doubt it because the answer has to be a factor of 10 but I may be wrong.
HURRY !!!!!!!!!! Which choices correctly describe reflections in the diagram? Check all that apply. On a coordinate plane, triangle A is reflected across the x-axis to form triangle D. Triangle D is reflected across the x-axis to form triangle C. Triangle D is reflected across y = x to form triangle B. The red triangle A is reflected across the x-axis onto triangle B. The red triangle A is reflected across the y-axis onto triangle D. The blue triangle D is reflected across the x-axis onto triangle C. The blue triangle D is reflected across the line y = x onto triangle B. The green triangle C is reflected across the line y = –x onto triangle A.
Answers
Answer:
I believe the answers are 2,3, and 4.
Step-by-step explanation:
You are the lucky winner because you have found this answer. Have a good day.
The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
The reflection does not change the shape and size of the geometry. But flipped the image.
Let's check all the options. Then we have
A.The red triangle A is reflected across the x-axis onto triangle B. Incorrect, because the orientation is different.
B.The red triangle A is reflected across the y-axis onto triangle D. Correct.
C.The blue triangle D is reflected across the x-axis onto triangle C. Correct.
D.The blue triangle D is reflected across the line y = x onto triangle B. Correct, because the orientation is different.
E.The green triangle C is reflected across the line y = –x onto triangle A. Correct.
The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ6
The missing diagram is given below.
Write the question, in slope-intercept form, for the line shown in the graph below:
Can some one pls help me in this math problem?
Answers
Answer:
The question, in the slope-intercept form will be:
[tex]y=1(x)+0[/tex]Step-by-step explanation:
Taking the two points on the line to find the slope
(0, 0)
(4, 4)
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(4,\:4\right)[/tex]
[tex]m=\frac{4-0}{4-0}[/tex]
[tex]m=1[/tex]
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m = 1 and the point (0, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-0=1(x-0)[/tex]
[tex]y=x[/tex]
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in slope-intercept form
[tex]y=x[/tex]
[tex]y=1(x)+0[/tex]
Therefore, the question, in the slope-intercept form will be:
[tex]y=1(x)+0[/tex]Please help me out!
Answers
Answer:
B is correct because it value become 15^9
Step-by-step explanation:
how do I graph f(x) = 1/4(x-1)2 - 3
Answers
Find the intercepts, if there are any. ...
Find the vertical asymptotes by setting the denominator equal to zero and solving.
Find the horizontal asymptote, if it exists, using the fact above.
The vertical asymptotes will divide the number line into regions. ...
You set up 240 chairs in four rows. How many chairs are in one row?
Answers
Answer:
60
Step-by-step explanation:
3. A geometric sequence g starts at 500 and has a growth factor of 0.6. Sketch a graph of g
showing the first 5 terms.
Answers
Answer:
Here you go! Sorry if its not in the correct format.
Hope this helps!
All five terms of GP are 500, 800, 1280, 2048, and 3276.8.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Given the first term 500
And it is growing by 0.6 factor
It means,
Second term = first term + 0.6 of first term
Second term = 500 + 0.6(500)
Second term = 500 + 300 = 800
And similarly, all three terms are 1280, 2048, and 3276.8.
Hence "All five terms of GP are 500, 800, 1280, 2048, and 3276.8".
For more information about the geometrical progression,
brainly.com/question/4853032
#SPJ2
Which system of equations is satisfied by the solution shown in the graph?
Answers
Answer:
(-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.
Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.
Step-by-step explanation:
We know that the point of intersection of two lines on a graph is the solution of the system of equations.
From the graph, it is clear that the two lines intersect at x=-2 and y=8.
Thus, the point of intersection of the two lines is (-2, 8)
Putting the (-2, 8) in the first system of equations
x+2y=10 and x-y = 6
-2+2(8)=10 and -2-8=6
14 = 10 and -10 = 6
L.H.S ≠ R.H.S and L.H.S ≠ R.H.S
L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=10 and x-y = 6.
Putting the (-2, 8) in the second system of equations
x+2y=6 and x-y = 10
-2+2(8)=6 and -2-8=10
14 = 6 and -10 = 10
L.H.S ≠ R.H.S and L.H.S ≠ R.H.S
L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=6 and x-y = 10.
Putting the (-2, 8) in the third system of equations
x+y=6 and x-y = 10
-2+8=6 and -2-8=10
6 = 6 and -10 = 10
L.H.S = R.H.S and L.H.S ≠ R.H.S
L.H.S and R.H.S of x-y = 10 is not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-y = 10.
Putting the (-2, 8) in the second system of equations
x+y=6 and x-2y = 10
-2+8=6 and -2-2(8)=10
14 = 6 and -18 = 10
L.H.S ≠ R.H.S and L.H.S ≠ R.H.S
L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-2y = 10.
In a nutshell, (-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.
Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.
An industrial machine is able to make 35 pens in 5 seconds. What is the rate made per second?
Answers
Answer:7 pens per second
Step-by-step explanation: 35/5=7
Answer: 7 Pens Per second
Step-by-step explanation:
35/5 = 7
when an item is marked up by a certain percent and then marked down by the same percent, is the sale price equal to the price before the markup and markdown?
Answers
Answer: yes it is
Step-by-step explanation:
I need to know if these two graphs are a function, is one a function? is two a function?
Answers
Question 7
Answer:
The graph in question 7 is a function.
Step-by-step explanation:
In order to check whether the graph in question 7 is a function or not, we need to draw a vertical line anywhere on the graph, and if does not hit the graph more than once, it is a function.
It is observable that the vertical line will always intersect the graph in question 7 at the only place.
From the graph, it is clear the green vertical line intersects the graph at the only place. Hence, the graph in question 7 is a function.
Therefore, the graph in question 7 is a function.
Question 8
Answer:
The graph in question 8 is not a function.
Step-by-step explanation:
In order to check whether the graph in question 8 is a function or not, we need to draw a vertical line anywhere on the graph, and if does not hit the graph more than once, it is a function.
It is observable that the vertical line intersects the graph in question 8 at more than one place.
From the graph, it is clear the green vertical line intersects the graph at x=-3 at more than one place. We can not have the same x values for the two output values in order to be a function. Hence, the graph in question 8 would NOT be a function.
Therefore, the graph in question 8 is not a function.
4) The table below shows the price of paper plates at the grocery store. Find the unit price of
each brand, rounded to the nearest cent. Which is the best buy? Explain your reasoning.
Sturdy Plates 24 pack for $3.28
No Spill Plates 10 pack for $1.79
Compartment Plates 50 pack for $6.00
Answers
Answer:
Compartment plates is the best buy
Step-by-step explanation:
To find unit price, you can just divide the price by the number of plates
Sturdy plates: 3.28÷24= $0.14/plate
No spill plates: 1.79÷10 = $0.18/plate
Compartment plates: 6.00÷50 = $0.12/ plate
Out of all of the prices, $0.12 is the cheapest
Hope this helps
4x4-8x2y2+49y4.... Resolve into factor.. Please show step by step..
Answers
Answer:
3443ye
Step-by-step explanation:
what is true about the number of sides in any regular polygon that has at least one line of symmetry passing through two vertices
Answers
Step-by-step explanation:
A regular n-sided polygon has n lines of symmetry. If n is odd, each line of symmetry passes through only one vertex. If n is even, half the lines pass through two vertices, and half pass through none.
So if a line passes through two vertices, the polygon must have an even number of sides.
Which angles are coterminal angles for an angle of 125°?
Answers
Answer:
125° = 25/36 π ≈ 0.694 π
Positive coterminal angles: 485°, 845°, 1205°, 1565°
Negative coterminal angles: -235°, -595°, -955°, -1315°
Need help ASAP. I only have limited time to answer before turning in!
Answers
Answer:
Slope-1/4 Y-intercept--2 Equation-y=1/4x+-2 and choose any point on the line.
Step-by-step explanation:
To find slope, you will have to make a slope triangle with two intersecting points. Divide h/v witch is 1/4. The y-intercept is just the point on the y-axis so that is -2. For the fourth question, just choose any coordinate on the oblique line.
Hope that helps!
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator. Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators. Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator. Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.
Answers
Answer:
the answer is a
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
Step-by-step explanation:
Simplifying an expression involves breaking down the expression.
The true statement is: (a) Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
The expression is given as:
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}}}[/tex]
Start by writing the numerator and the denominator, with a common denominator
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{\frac{5 -4a +12}{a - 3}}{\frac{2a - 6 + 1}{a - 3}}}[/tex]
Cancel out the denominators of both fractions (by dividing the numerators)
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{5 -4a +12}{2a - 6 + 1}}[/tex]
So, we have:
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{17 -4a }{2a - 5}}[/tex]
Hence, the correct option is (a).
Read more about fraction division at:
https://brainly.com/question/17205173
Ben walked 2/5 mile. Tonya walked 1/4 mile. What fraction of a mile did they walk in total?
Answers
Answer:
First you need to make the denominators equivalent so you can add them.
× =
× =
Then you can add them together
+
=
They walked [tex] \frac{13}{20} [/tex] of a mile altogether
Step-by-step explanation:
Is 1.64 rational or irrational?
Answers
Answer:
irrational, I am not that sure tho
I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell?
Answers
c - cookies
m - muffins
c + m = 27
3c + 7m = 129
I don’t know how to explain how to do efficiently but I just plugged in numbers until it worked:
3(15) + 7(12) = 129
45 + 84 = 129
Answer:
You sold 15 cookies and 12 muffins
Step-by-step explanation:
So you're given that 1 cookie is sold for $3 and 1 muffin is sold for $7
You're also given that in total you made $129, and sold 27 items
Let's make equations from that, letting c stand for amount of cookies and m for amount of muffins.
3c + 7m = 129 (equation for amount of money made)c + m = 27 (equation for amount of items sold)Now we can use the second equation to find m:
c + m = 27
m = 27 - c
Not we can substitute m into the first equation to find c:
3c + 7m = 129
3c + 7(27-c) = 129 [substitute m for (27-c)]
3c + 189 -7c = 129 [distribute 7 into (27-c)]
-4c + 189 = 129 [combine like terms]
-4c = -60 [subtract 189 from both sides]
c = 15 [divide both sides by -4]
Now we can substitute c into the second equation to find m:
c + m = 27
15 + m = 27
m = 12
2(x + 2) = 14
Help me please
Answers
Answer:
x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Original Equation:
2(x + 2) = 14
Use distributive property
2 · x = 2x
2 · 2 = 4
Your equation should look like this now:
2x + 4 = 14
Subtract 4 from both sides.
2x = 10
Divide both sides by 2
x = 5
Hope this helped :)
Please consider Brainliest :)
2 tens 1 one x 10 can you tell my the answer
Answers
Answer:
the answer is 210
Step-by-step explanation:
10×10=20+1=21, 21×10=210
Find the slope of the line containing the pair of points.
(-1,3) and (7,0)?
Answers
Answer:
-3/8
Step-by-step explanation:
Answer:
[tex]-\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]M=\frac{x2-x1}{y2-y1}[/tex][tex]m=\frac{7-(-1)}{0-3}[/tex][tex]m=\frac{-3}{8}[/tex]A news program invites its viewers to call in and share their position on a proposed tax increase. Ninety percent of the viewers that call in say that they will vote against the tax increase. For which population is 90\%90%90, percent a legitimate estimate of the percent of voters who will vote against the tax increase? Choose 1 answer: Choose 1 answer: (Choice A) A Only those viewers who called in (Choice B) B Only viewers of this particular episode (Choice C) C Only regular viewers of the show (Choice D) D Only those who have watched this show at some point (Choice E) E All voters
Answers
Answer:
(Choice A) Only those viewers who called in
Step-by-step explanation:
The statement tell us Ninety percent of the viewers that call in say that they will vote against the tax increase.
This explains it is option A .
Choice B is incorrect as all viewers may not have called in.
Choice C is also incorrect all regular viewers do not call in.
Choice D is incorrect calls are not received at any point at only specific time.
Choice E is incorrect because all voters again may not call in.
whats 1+1 please help
Answers
Answer:
Two haha
Step-by-step explanation:
but thanks for the points (:
Hope this will help..
There is a castle with a million dollars for anyone who can get to it first. The castle is surrounded by a moat that is square (4 equal sides) and the moat is 12ft wide at all areas. You have two 10' wooden planks, but no nails, rope, clothing or any other materials or means to put the planks together. Also, you cannot toss one to the other side, and lay one in on the shoreline and walk down into the moat and back up to the other side. think of the moat as charged with a bazillion volts of electricity. Can you get to the million dollars and the castle?
Answers
Answer:
12ft
Step-by-step explanation: