The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5
Answers
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
What is Transformations?Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
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Related Questions
Examine the following graphs of two functions. Two functions. One is linear passing thru (1, 2), (3, 4), (6,7) and (8, 9). 2nd function is quadratic passing thru (3, 4), (5, 0), (7, 4) & (8, 9). © 2018 StrongMind. Created using GeoGebra. Which two values of x best represent where the two functions are equal? Enter your answer as two numbers, separated by a comma, like this: 1, 2
Answers
The two values of x best represent where the two functions are equal will be (12,11)
What is a graph?
A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Given data;
Linear function passing through;
(1, 2), (3, 4), (6,7) and (8, 9)
Quadratic function passing through
(3, 4), (5, 0), (7, 4) & (8, 9)
Let x be two values of x best represent where the two functions are equal;
The value of the x is obtained from the graph where the two line meets.
The value of x willl be (12,11)
Hence, the two values of x best represent where the two functions are equal will be (12,11)
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Describe the translation from f ( x ) = I x I... to f ( x ) = I x - 1 I + 11.
Answers
On a piece of paper, graph y-5>2x-10. Then determine which answer
choice matches the graph you drew.
A
B
C
D
(21)
(0.5)
OA. Graph A
B. Graph B
C. Graph C
D. Graph D
(0.5)
((3.1)
(0.5)
(3.1).
(0.5)
Answers
Answer:
Graph B
Step-by-step explanation:
When graphing inequalities:
< or > : draw a dashed line≤ or ≥ : draw a solid line< or ≤ : shade under the line> or ≥ : shade above the lineGiven inequality:
[tex]y-5 > 2x-10[/tex]
Rearrange the given inequality to make y the subject:
[tex]\implies y-5+5 > 2x-10+5[/tex]
[tex]\implies y > 2x-5[/tex]
Therefore, we need to draw a dashed line and shade above it.
To draw the line:
Replace the > with = to find two points on the line:
[tex]\implies y=2x-5[/tex]
[tex]x=0 \implies y=2(0)-5=-5 \implies (0,-5)[/tex]
[tex]x=3 \implies y=2(3)-5=1 \implies (3,1)[/tex]
Plot the two found points: (0, -5) and (3, 1)
As the inequality is y > 2x - 5
Draw a dashed straight line through the two points.Shade above the line.The inequality equation is solved and the solution is plotted on the graph
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y - 5 > 2x - 10
On simplifying , we get
Adding 5 on both sides , we get
y > 2x - 5
where 2 is the slope and 5 is the the intercept
Now , let the first point be P ( 0 , -5 )
when x = 0 and y = -5
-5 > -5
And , the graph of the inequality is plotted
Hence , the inequality is solved
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What is the median of the following data set?
(3, 4, 2, 8, 5)
02
03
04
06
Answers
Answer:
4
Step-by-step explanation:
The median is the middle number when the list is sorted from least to greatest or greatest to least.
We make this list to get 2,3,4,5,8 or 8,5,4,3,2 and the middle number in both lists is 4.
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
A.y=-4x+5
B. Y=4x -5
C.2y=8x-10
D.-2y=-8x-10
Answers
answer :
A. y = – 4x + 5
Step-by-step explanation:
make y = 4x-5 equal to each of the answer choices and see if you get an answer
STEPS:
1.
make 4x - y = 5 into a y= equation
4x - y = 5 is y = 4x-5
2.
then make y = 4x-5 equal to each of the answer choices and see if you get an answer
A.
4x-5 = -4x+5
8x = 10
x = 10/8 = 5/4
yes, it has one solution
its also an intersecting line because
one line has 4x and the other has -4x
4x and -4x are slopes and opposite signs so
the lines are intersecting
B.
4x-5 = 4x-5
since they are the same on both sides of the equal sign they have
infinite solutions
they are also both the same line
C.
2y=8x-10 when simplified is y=4x-5
so its just like choice B
they are also both the same line
4x-5 = 4x-5 which is
0 = 0
since they are the same on both sides of the equal sign
infinite solutions
they are also both the same line
D.
-2y=-8x-10 when simplified is y=4x+5
4x-5 = 4x+5 when you work it out you get the answer
0 = 5
since when you solve the equation and get 0 = 5
that means its there is no solution
its also parallel line because both lines have 4x as a slope
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Which ordered pairs make both inequalities true? Check all that apply
Answers
Answer:.
Step-by-step explanation:
What is the solution to this system of equations? x + y = 2 and y - z = -3 and x + y - z = 0
Answers
Answer:
x = 3
y = -1
z = 2
Step-by-step explanation:
if x+y = 2, and x+y-z = 0, then we can substitute 2 for x+y. this means 2-z=0, meaning z=2. if y-z=-3, then y-2=-3, and y=-1. x+y=2 which means x-1=2 so x=3. plug in the values to check your answer.
How to do proportional relationships in math 7th grade ?? Please explain ?!!
Answers
Answer:
Try searching online
Step-by-step explanation:
go to your browser then search up
How to do proportional relationships in math 7th grade ?? Please explain ?!!
Over a females lifetime, how many eggs will mature and travel to the uterus? 4 hundred thousand 5 hundred 4 hundred 3 hundred thousand
Answers
Over a female lifetime, about 300 hundred to 400 hundred will mature and travel to the uterus
How many eggs reach maturation and transfer to the uterus in a female lifetime?At birth, about 1 million eggs are present but by the period a person reaches adolescence, only about 300,000 are still there since a lot of follicles and oocytes would have been engaged to start the development and maturation process.
Only about three hundred to four hundred of them will ripe and ovulate over a woman's reproductive lifespan due to the decline in a woman's fertility as she matures.
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In the diagram below, AB is parallel to Co What is the value of y?
Answers
Answer:
D
Step-by-step explanation:
interior angles = 180
180-72
Please help!! Consider the equation x/5 -2=11, where x represents the
number of basketball players that have signed up for a
new league. What is a possible scenario that would be
modeled by this equation? Consider how many teams in
the league and the number of players on each team this
equation could describe
Answers
Answer:
x=65
Each NBA team can have a maximum of 15 players, 13 of which can be active each game.
65/5=13 so it's safe to say tgat 5 team can be crated
Step-by-step explanation:
x/5-2=11-->transposing x/5=11+2---->x=13×5--->x=65
verification 65/5-2=11--->13-2=11
choose the graph of the linear equation 30x+75y=300
Answers
Answer:
there ya go :)
can someone confirm why it's not? im *pretty* sure it's d?
Answers
Answer:
yes it is I'm sure of it ok.
(5+4) +10=5+(4+10)
A. True
B. False
Answers
Answer:
A. True
Step-by-step explanation:
One of the ways to check this is solving each side of the equation.
(5+4)+10=5+(4+10)
Remember PEMDAS.
Parenthesis first.
(9)+10=5+(14)
Now, you can drop the parenthesis and add the numbers together.
9+10=19
5+14=19
19=19
This is a true statement.
Hope this helps!
If not, I am sorry.
Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answers
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(10+4)/2=7
(6+9)/2=7.5
(7,7.5)
Match each data set with its standard deviation.
Round your answer to the nearest tenth, if necessary.
Click on the link to use the GeoGebra graphing calculator to assist you.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
{74,76,77,77,78,82,130}
{8,74,76,77,77,78,82}
{74,74,76,77,77,78,82}
Answers
Answer:
don't know but please keep trying up
Figure it out..............................................
Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Answers
A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?
Answers
Using the cosine ratio, the expression that can be used to determine the side length of the given rhombus is: x = 10/cos 30.
What is the Cosine Ratio?The cosine ratio that can be used to solve a right triangle is, cos ∅ = adj/hyp.
x represents the side of the rhombus as shown in the image attached.
Hypotenuse = x Adjacent = 10 in.∅ = 30cos 30 = 10/x
x(cos 30) = 10
x = 10/cos 30
Thus, the equation that would be used to determine the side length is: x = 10/cos 30
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Answer:
A
Step-by-step explanation:
10/cos 30°
Asap please!!!!!!! if jkl=rst, which congruences are true by cpctc? check all that apply.
a. l=r
b. jk=rs
c. k=s
d. j=s
e. kl=st
f. jl=rs
Answers
Answer:
b, c e
Step-by-step explanation:
A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.
__
To see if any particular statement is consistent with CPCTC, identify the locations of the referenced parts in the congruence statement. If they match, the congruence is true
a. l = r ... jkl = rst . . . . not in the same place
b. jk = rs ... jkl = rst . . . . a match; true
c. k = s ... jkl = rst . . . . a match; true
d. j = s ... inconsistent with (c)
e. kl = st ... jkl = rst . . . . a match; true
f. jl = rs ... inconsistent with (b)
Statements b, c, e are consistent with the congruence statement, and are true by CPCTC.
Use the periodic compound interest formula to solve.
Suppose that $11,000 is invested at 5.8% compounded quarterly. Find the total amount of this investment after 6 years.
Answers
Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $11,000r = 5.8% = 0.058n = 4 (quarterly)t = 6 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}[/tex]
[tex]\implies \sf A=11000(1.0145)^{24}[/tex]
[tex]\implies \sf A=15539.67451...[/tex]
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
If it is already 110F degrees below zero, and the temperature drops another 40 F degrees, how cold is it now?
Answers
Answer:
-150
or 150 degrees below 0
Step-by-step explanation:
The temp is -110. Dropping another 40 degrees means subtracting 40.
-110 - 40 = -150
Solve the inequality. –6 < 2 x – 4 < 4
Answers
Step-by-step explanation:
-6<2x-4<4
-2<2x<8
-1<x<4
x = (-1,4)
red was rotated to form blue
describe the rotation
Answers
Red was rotated to form blue as the figure was turned in different directions.
What is rotation?
A rotation simply means a transformation that turns a figure about a fixed point called the center of rotation.
An object and its rotation are simply the same shape and size, but the figures may be turned in different directions. In this case, red was rotated to form blue.
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fill in the blank
83 x 391 - 83 x ____ = 83 x (391 - 15)
Answers
Answer:
83 x 391 - 83 x 15 = 83 x (391 - 15)
Step-by-step explanation:
BODMAS is stands for Bracket Of Division Multiplication Addition and Subtraction.
left hand side:
83 × 391 - 83 × ____ = 32453 - 83 × ____
right hand side:
83 × (391 - 15) = 83 × 376 = 31208
equating both sides
32453 - 83 × ____ = 31208
32453 - 31208 = 83 × ____
1245 ÷ 83 = 15
hence the answer is 15.
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Find the following, giving your answers
to 1 decimal place.
10 cm/
6 cm
8 cm
a) The volume of the cone.
b) The curved surface area of the cone.
Answers
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
__
a) volumeThe volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
__
b) areaThe lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
Each x block shown on the scale has the same weight. See if you can answer the question. When you have your answer, enter it in the box below and select Submit to see if you are correct. How Much Does Each "x" Weight Weigh?
Answers
The value of x, given the data From the question is 2
Data obtained from the questionOn the left = 3 + 3xOn the right = 2x + 5Value of x =?How to determine the value of xLeft = Right (since the system is balanced)
3 + 3x = 2x + 5
Collect like terms
3x - 2x = 5 - 3
x = 2
Complete question
See attached photo
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Match each inequality to the number line that represents its solution:
Answers
Step-by-step explanation:
I have solve all the questions and your work is to match with that option
A(n)______ is a number sentence that shows how two or more expressions are not equal
Answers
Answer:
Inequality is the answer
Answer: Inequality ✅
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem!
The answer to your question is "inequality".
An inequality is a number sentence that shows how two or more expressions are not equal.
An example of that is [tex]\sf 4x+4\geqslant3x-5[/tex].
So 4x+4 is greater than or equal to 3x-5, but they're not 100% equal (such is the case in equations).
--
Hope that this helped! Best wishes.
--
-35÷6=
-350÷6-350-6=
350 - 60 =
Answers
Answer:
The first one is 5.83 or -5 5/6
The second one is -414 1/3
The last one is 290
How can you find the coefficients of any row of Pascal’s triangle?
A) combinations
B) factorials
C) expansion
D) binomial expression
Answers
The coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
How to determine the coefficients?A binomial expansion is represented as:
[tex](a + b)^n = ^nC_x a^xb^{n - x}[/tex]
Where:
x >= 0 and x <= n
In the above expression, the coefficient is:
[tex]^nC_x[/tex]
The above represents the xth term of a Pascal triangle and it is a combination expression
Hence, the coefficients of any row of Pascal’s triangle can be calculated using (A) combinations
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