which statements are true for the functions g(x) = x^2 and h(x)= -x^2? Check all that apply.
Answers
Answer:
A, C, E & F are true
Step-by-step explanation:
We are given the functions;
g(x) = x² and h(x)= -x²
Let's analyze the options;
A) For any value of x,g(x) will always be greater than h(x);
Let's put x = 1 in both functions;
g(x) = 1² = 1
h(x) = - (1)² = - 1
Let's try a negative number say -1:
g(x) = (-1)² = 1
h(x) = -(-1)² = -1
In both cases, we see that g(x) > h(x) and so the statement is true.
B) For any value of x,h(x) will always be greater than g(x); As seen in A above, for any value of x, h(x) will always be greater than g(x). And so this statement here is wrong.
C) g(x) > h(x) for x = -1;
As seen in A above, at x = -1, g(x) > h(x).
Thus, this statement is true
D) g(x) < h(x) for x = 3;
g(x) = (3)² = 9
h(x) = -(3)² = -9
g(x) is not less than h(x) and so the statement is not correct.
E) For positive values of x, g(x) > h(x).
We have tried positive numbers at x = 1 and x = 3 in previous answers above and in both cases, g(x) > h(x).
Thus, statement is true.
F) For negative values of x, g(x) > h(x).
We have seen earlier that at a negative value of x = -1, g(x) > h(x)
Let's try x = -2
g(x) = (-2)² = 4
h(x) = -(-2)² = -4
Still seeing that g(x) > h(x).
Thus the statement is true.
Related Questions
Find the value of x.
Answers
Answer:
Step-by-step explanation:
The equation for this is
12(x + 1) = 10(10 - x) and
12x + 12 = 100 - 10x and
22x = 88 so
x = 44
Find the value of 2 in the triangle shown below. 3.5 4 55° 3.5
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Hope this help!!!
Have a great day!!!
Step by step explanation:
Please help I’m desperate LOOK AT MY NAME :(
Answers
Answer:
3 is the line of symmetry, its the same on both sides
Step-by-step explanation:
Hope this helps and sorry you have to do I-ready it stinks
The answer for that would be three
The value of ( - 2 / 3 ) will be ……
a) Will be negative but more than -1
b) Will be greater than 0
c) Will be a positive but less than 1
d) Will be positive but between 0.5 and 1
Answers
Answer:
will be -0.667 so the answer will be greater than 0
christian has a collection of 18 shark teeth he has 6 tiger shark what precentage is tiger
Answers
Answer:
33.3% I think lpl
Step-by-step explanation:
Help please!!! And Thank you :)
3z+4=34---
Answers
[tex]\longrightarrow{\green{z\:=\:10}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]3z + 4 = 34 \\ \\⇢3z = 34 - 4 \\ \\⇢3z = 30 \\\\ ⇢z = \frac{30}{3} \\ \\⇢z = 10[/tex]
[tex]\boxed{To\:verify:}[/tex]
[tex]3z + 4 = 34 \\\\ ✒ \: 3 \times 10 + 4 = 34 \\ \\✒ \: 30 + 4 = 34\\\\ ✒ \: 34 = 31 \\ \\✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Hello There!!
[tex]3z+4=34[/tex]
[tex]3z=34-4[/tex]
[tex]3x=30[/tex]
[tex]Divde~both~sides~by~3[/tex]
[tex]z=10[/tex]
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Z=10}}}}}[/tex]
---------------------
hope it helps...
have a great day!!
Donna wants to wrap a shipping box shaped like a rectangular prism. The box is 23 inches tall and has a square base with sides that each measure 4 inches. How much paper will she use?
Answers
The first three terms of an arithmetic sequence are as follows. -15,-8,-1 find the next two terms of this sequence.
Answers
Answer:
6, 13, 20
Step-by-step explanation:
just add a positive 7 to each term
2. What are the first two
common multiples of 2 and 3*
O 12 and 18
O 18 and 16
O 6 and 12
O 12 and 16
Answers
Answer:
6 and 12 is the answers
Step-by-step explanation:
hope this help enjoy your day:)
Answer:
Third option
Step-by-step explanation:
2-4 6 8 10 12
3- 6 9 12
common multiples 6&12
if CH CD and DG CD, then CH ? DG.
Answers
Answer:
The answer is A
Step-by-step explanation:
If two lines are perpendicular to that same line, then they are parallell.
I WILL MARK BRAINLEST
ANSWER
Answers
Answer:
27y
Step-by-step explanation: becuase i have done that before
Which graph shows a function with a range of all real numbers greater than or equal to –6?
Answers
determine whether the given lines are parallel or not right with the reason
Answers
Answer:
[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])
Step-by-step explanation:
In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.
*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.
Noah buys 3 packages of pens each package has 4 blue pens and 2 black pens which equation can be used to find p the total number of pins
A. 3 x 4 x 2 = p
B. 3+4+2 = p
C. 3x (4+2)= p
D. 3+ (4x2)=p
Answers
Which scenario could be represented by the algebraic expression n minus 13?
Answers
The equation SA = 6s can be used to calculate the surface area, SA, of a cube with side length S. What is the
surface area, in square meters, of a cube with a side length of 0.5 meter?
Answers
=6 • 6 = 36
36 sq ft.
please write step by step, and solve all question. I will mark you as brainliest answer!
Answers
Answer:
11, 10
Step-by-step explanation:
n(B') = 2+5+12 = 19 ; the numbers that are not included in B
n(B∩C) = y-1 +9 = y+8 ; what belongs to both B and C
a)
n(B') = n(B∩C)
19 = y +8 ; subtract 8 from both sides
19-8 = y-8+8
11 = y
b)
n(A∪B∪C) =y -1 = 11 -1 = 10 ; is what belongs to A and B and C in the same time
PLEASE HELP ME! I NEED HELP :))))
Answers
Answer: The equation is h(x) = 45(1/5)^x
This is the same as h(x) = 45(0.2)^x because 1/5 = 0.2
=======================================================
Explanation:
We'll start with y = a*b^x, and plug in x = 0 to find that,
y = a*b^x
y = a*b^0
y = a*1
y = a
The table says that y = 45 is the case when x = 0. So that must mean a = 45.
The value of ''a' is the y intercept and it's the initial value.
---------
So the equation y = a*b^x updates to y = 45*b^x
Let's plug in (x,y) = (1,9) and solve for b
y = 45*b^x
9 = 45*b^1
9 = 45b
45b = 9
b = 9/45
b = 1/5
b = 0.2
Therefore, the equation in fraction form is y = 45(1/5)^x
That same equation in decimal form is y = 45(0.2)^x
---------
To verify the equation, plug in various values of x and you should get y values that are shown in the table.
For instance, plug in x = 2 to find that
y = 45(0.2)^x
y = 45(0.2)^2
y = 45(0.04)
y = 1.8
which matches with the table. That verifies the 5th row. I'll let you verify the other rows.
Darryl was shopping for a new camera. He found one with an original price of $125.00 and is marked 45% off. Sales tax for the item is 5.2%. What is the final price of the camera, including tax?
Answers
Answer:
$75.25
Step-by-step explanation:
Given data
Original price =$125
Discount =45%
Tax=5.2%
Let us find the discount
45/100*125
0.45*125
56.25
Let us find the tax
5.2/100*125
0.052*125
6.5
Hence the amount is
125-56.25+6.5
=$75.25
Compré un TV que costó 35.000 pesos. Si en la aduana debo pagar 10 % por impuesto de nacionalización y 12 % sobre el precio nacionalizado de IVA. ¿Cuánto dinero pagué en total solo en impuestos?
Answers
Answer:
7700 in taxes
27300 pesos remaining
7700 en impuestos
Quedan 27300 pesos
Step-by-step explanation:
I bought a TV that cost 35,000 pesos. If at customs I must pay 10% for nationalization tax and 12% on the nationalized VAT price. How much money did I pay in total just in taxes?
The cost of 5 kg of mangoes is rupees 147. At what rate per kg are the mangoes
being sold.
Answers
Step-by-step explanation:
the cost of 1 kg mangoes = 147/ 5
= Rs. 29.40
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Answer:
cost of 1 kg mango = rupees 29.4
Step-by-step explanation:
cost of 5 kg mangoes =rupees 147
cost of 1 kg mango =?
Now, lets find cost of 1 kg mangoes
CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg
=rupees 147/5
=rupees 29.4
what is the slope of the line with x intercept of 3 and y intercept of 36
Answers
Answer:
you got it keep working
Step-by-step explanation:
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)
Answers
Answer:
(-5, ∞)
Step-by-step explanation:
If you graph this, you will see that starting at -5, the graphs starts to trend upwards.
Answer:
It is Indeed B. (–5, ∞)
Step-by-step explanation:
If you have this question on Edge, then (–5, ∞) is the correct answer.
Translate each sentence into an inequality
Answers
Each unit in the graph above is one block. How far would you have to walk from the party supply store to the art gallery and then continue on to the dry cleaners?
Options:
A)
6 blocks
B)
11 blocks
C)
12 blocks
D)
10 blocks
Answers
Answer:
11 blocks
Step-by-step explanation:
Find the surface area
ILL MARK BRAINLEST
Answers
Answer: 140 square inches OR 140 inches^2
Step-by-step explanation:
To start, you can create a net of the shape. Or, you can just use the numbers you are given. Find the area of the triangles, and then add the area of the base.
Base: 8*7 = 56
Triangles: [TIP: DON’T DIVIDE BY 2! IT’S A WASTE OF TIME! JUST MULTPLY BY TWO TO GET THE VALUE OF THE FOUR TRIANGLES!]
Triangles:
(6*7)*2=x
42*2=84
Then, add the two area values together.
84+56= 140
Add the units (ONLY IN SQUARE INCHES, BECAUSE WE ARE NOT FINDING THE AREA!)
help please fast 10min left :(
Answers
Answer:
The angle corresponding to angle 4 is angle 8
Glven the following diagram, IfmXCOF = 150°, then mZBOC =
ADIS
B
D
Answers
Answer:
∠ BOC = 30°
Step-by-step explanation:
Given ∠ COF = 150°
∠ BOC + ∠ COF = 180° ( BF is a straight angle ) , that is
∠ BOC + 150° = 180° ( subtract 150° from both sides )
∠ BOC = 30°
Help me please it’s urgent
Answers
Answer:
(y-7) = 2(x-1)
Step-by-step explanation:
The point slope form of a line with slope m passing through (a,b) is
(y-b) = m(x-a)
here slope m = (7-3)/(1- -1) = 4/2 = 2
The point used was (1,7)
So the equation is
(y-7) = 2(x-1)
Note:
#11 is correct
Help please will give brainliest
Answers
Answer:
Maybe 1 out the 10 possibilities
Step-by-step explanation:
I remember learning this a few years back but I'm not 100% sure.
