The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answers
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
B and C
Step-by-step explanation:
Related Questions
I’m confuse I need help
Answers
Answer:
f(-5) = -5/4
Step-by-step explanation:
Answer:
Answer is -1/20
Step-by-step explanation:
Hope this helps.
Please answer this ASAP!!
Answers
Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Step-by-step explanation:
Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
From the given figure of trapezium, we have
a = 10 m
b = 16 m
h = 7.6 m
Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]
Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].
Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]
[tex]= 52[/tex] litres
Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]
then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]
Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]
Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
A families weekly shopping bill increases from £120 to £150, what is the percentage increase? PLEASE HELP
Answers
Answer:
20%
Step-by-step explanation:
Divided the two which is 80% so the increase is 20% I'm not good at explaining
Answer:
150-120=30
30/120=0.25
0.25=25%
25% is correct
120 x 0.25 = 30
120+ 30 = 150 so 25% is correct
Step-by-step explanation:
I need some help quick on these questions.
Answers
8 * 12 = 96
√96 = 4√6
20 and 6
20 * 6 = 120
√120 = 2√30
plz help ASAP will give brainliest!!!
Answers
Answer:
Step-by-step explanation:
5.25x +6 =74.25
5.25x = 74.25 -6
5.25x =68.25
x = 68.25÷5.25
x = 13
Answer:
x=13
Step-by-step explanation:
1) Subtract 6 from both sides.
2) Divide by 5.25 on both sides to get x on its own.
[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]
if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))
Answers
Answer:
1/5
Step-by-step explanation:
F(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?
x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
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Answers
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
completely factor -6x^3+11x^2+10x
Answers
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answers
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
Find the lateral surface area of the rectangular prism in centimeters.
A)
196 cm2
B)
218 cm2
C)
232 cm2
D)
240 cm2
Answers
The lateral surface area of the rectangular prism is: D. 240 cm²
What is the Lateral Surface Area of a Rectangular Prism?The lateral surface area of rectangular prism = 2(l + w)h.
Given the following:
Length (l) = 9 cmWidth (w) = 6 cmHeight (h) = 8 cmPlug in the values into the formula
Lateral surface area of the rectangular prism = 2(9 + 6)8
Lateral surface area of the rectangular prism = 240 cm²
Learn more about lateral surface area of rectangular prism on:
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approximate the value of √5 to the nearest hundredth
Answers
Answer:
2.24
Step-by-step explanation:
[tex]\sqrt{5}[/tex] = 2.236067977...
Rounded to the nearest hundredth = 2.24
Answer: 2.24
Step-by-step explanation:
Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.
Which is greater 8/25 or 0.32
Answers
[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.
This means that these two are equal. hope this helps!
8/25 is equal to 0.32
let me know if u need explanation
Simplify.
Please I need it
Answers
Answer:
[tex]a^2[/tex]
Step-by-step explanation:
[tex]\sqrt[m]{a^{2m}}[/tex]
[tex]a^{2m \times 1/m}[/tex]
[tex]a^{\frac{2m}{m}}[/tex]
[tex]a^2[/tex]
Find the ninth term of the geometric sequence a4= -135,r=-3
Answers
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
Do masks increase or decrease the sales of breath mints?
Answers
Evaluate the following expression.
(5x)"
1
Answers
Answer:
1
Step-by-step explanation:
Anything to the power of zero is one
.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3
Answers
What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8
Answers
Answer:
1/4
Step-by-step explanation:
Each term is a fourth of the term before.
So, each term is the previous term multiplied by 1/4
Answer:
1/4
Step-by-step explanation:
Pls Help!!!
Just an example of how to do it pls!
Answers
10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answers
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
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Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answers
Add 6 to both sides.
1/2x = 10
Multiple each side by 2/1 (reciprocal) to get x by itself.
x = 10 * 2/1
x = 20
Final answer: x = 20
Hope this helped!
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?
Answers
Answer:
[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]
[tex]\pi =3.14[/tex]
[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]
[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]
Step-by-step explanation:
1. Volume of sphere
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
2. Volume of hemisphere
[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]
The volume of hemisphere is 1,41,130.7 cubic inch.
What is hemisphere?The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
Given the radius of hemisphere = 40.7 inches
to find the volume,
volume of hemisphere = 2/3πr³
volume of hemisphere = 2/3(3.14)(40.7)³
volume of hemisphere = 2/3(3.14)(67419.143)
volume of hemisphere = 1,41,130.7 cubic inch.
Hence the volume is 1,41,130.7 cubic inch.
Learn more about hemisphere;
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solve for k. 2.5(4k+2) =12k
Answers
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
Question 4(Multiple Choice Worth 1 points)
(06.04 MC)
A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:
(x − 4)(3x − 1)
Which of the following simplified expressions represents the area of the floor of the conference room in square meters?
x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4
Answers
Answer:
[tex]3x^2-13x+4[/tex]
Step-by-step explanation:
[tex](x - 4)(3x - 1)[/tex]
[tex]3x^2-1x-12x+4[/tex]
[tex]3x^2-13x+4[/tex]
Whats the radius of this?
Answers
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterPlease answer the attachment below and say which number goes in the first or second, etc.
Answers
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?
Answers
Answer:
How many pets do my teachers have?
How many points did the high school soccer team score in its last few games?
Which of our school books has the most pages?
How many handstands can I do in 10 mins?
Step-by-step explanation:
To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.
The Statistical question are:
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?What is Statistical Question?A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.
A statistical question is one that can be answered by gathering varying amounts of data.
Make the question so that you can collect more than one piece of data to convert it into a statistical query.
So, the Conversion into statistical question are
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?Learn more about Statistical Question here:
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Help me please!! Anyone
Answers
Answer:
180-88
92
Step-by-step explanation:
x=92
Answer:
I think its 92
Step-by-step explanation:
Supplementary angles always add up to 180
Which number is rational?
Answers
Answer:
D
Step-by-step explanation:
0.333... is rational because it can be lined up to the fraction 1/3.
Answer:
D.
Step-by-step explanation:
The definition of a rational number is a number that can be expressed as the ratio of two integers.
We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.
We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.
I hope this helps!
using soh cah toa find length of WX and round to the nearest tenth of a foot?
Answers
Answer:
The length WX is about 14 feet.
Step-by-step explanation:
This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]
Therefore, the length WX is about 14 feet.
