A scaled function is a dilated function
The function g(x) is: [tex]\mathbf{g(x) = \frac 12x^2}[/tex]
Function f is given as:
[tex]\mathbf{f(x) = x^2}[/tex]
Function g is a scaled version of f(x).
So, we have:
[tex]\mathbf{g(x) = kx^2}[/tex] --- where k is the scale
The graph of g(x) passes through (4,8).
So, we have:
[tex]\mathbf{8 = k \times 4^2}[/tex]
[tex]\mathbf{8 = k \times 16}[/tex]
Divide both sides by 16
[tex]\mathbf{\frac 12 = k }[/tex]
So, we have:
[tex]\mathbf{k = \frac 12 }[/tex]
Substitute [tex]\mathbf{k = \frac 12 }[/tex] in [tex]\mathbf{g(x) = kx^2}[/tex]
[tex]\mathbf{g(x) = \frac 12x^2}[/tex]
Hence, the function g(x) is: [tex]\mathbf{g(x) = \frac 12x^2}[/tex]
Read more about scaled functions at
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what's the answer ?
[tex] \sqrt{7 \times 343} [/tex]
Answer:
49
Step-by-step explanation:
[tex]\sqrt{7(343)}[/tex]
= [tex]\sqrt{2401}[/tex]
= 49
Answer:
[tex]\sqrt{7*343}=49[/tex] ✔︎
Step-by-step explanation:
[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
Alex reads x pages in 4 hours. How many pages does he read
in 1 hour? ANSWER ME PLSS
x:4h
Find the unit rate of this equation.
[tex] \frac{x}{4} = h[/tex]
Multiply both equations by 10, and simplify the results.
[tex] \frac{10x}{4} = 10h[/tex]
[tex]2.5x = 10h[/tex]
[tex]0.25x = h[/tex]
In a circle with radius 2.9, an angle measuring 5.6 radians intercepts an arc. Find the length of the arc to the nearest 10th.
Answer:
in order to get answer you will add 2'9+5'6=8'5
HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270
Hi there! Use the following identities below to help with your problem.
[tex] \large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}[/tex]
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
[tex] \large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}[/tex]
As we know, sec²θ = 1/cos²θ.
[tex] \large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }[/tex]
And thus,
[tex] \large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }[/tex]
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
[tex] \large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}[/tex]
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
[tex] \large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }[/tex]
Answer
sinθ = -4sqrt(17)/17 or A choice.An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
i have 3 time as much money as does my brother. our total is $24. how much do we have
Answer:
I have $18 and my brother has $6.Step-by-step explanation:
x - brother's money
3x - my money
$24 - our money
The equation:
x + 3x = $24
4x = $24
4x : 4 = $24 : 4
x = $6
3x = 3 · $6 → 3x = $18
Sam and Alex play Tennis. On the weekend Sam played 8 more games than Alex did, and together they played 24 games. How many games did Alex play? How many games did Sam play? Let a represent the number of games Alex played. Write and solve an equation to determine the number of games Alex and Sam played.
Answer:
Alex played 8 games and Sam played 16.
Step-by-step explanation:
I am unaware of the equation, the answer just makes sense. I apologize.
Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x2-8x + 6x2
Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²
Answer:
Standard form: -5x²- 8x + 2
name: Quadratic polynomial
Step-by-step explanation:Given polynomial
2-11x²-8x + 6x²
To write this polynomial in standard form,
i. First simplify it
Collect like terms
2 - 11x² + 6x² - 8x
Add the second and fourth terms
2 - 5x² - 8x
ii. Arrange the terms in the polynomial in order of decreasing order of x.
In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.
In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.
Therefore, the standard form of the given polynomial is
-5x²- 8x + 2
The degree of a polynomial which is in standard form is the order of its first term.
In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.
Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.
Pls help! I am so confused.
Answer:
2(m + 3)/xa
Step-by-step explanation:
There’s 2 peanut butter jars.
One is 16 oz for $3.30
The other is 64 oz for $8.60
I need the answers to these:
A.) what is the price per ounce for the smaller jar of peanut butter?
B.) what is the price per ounce for the larger jar of peanut butter?
C.) which is the better buy? By how much?
THANK YOU IF YOU ANSWER THESE FOR ME AND ITS CORRECT <3
Answer:
A) $0.21
B) $0.13
C) B is the better buy by $0.08/oz
Step-by-step explanation:
A) 3.30 ÷ 16 = 0.20625 = $0.21
B) 8.60 ÷ 64 = 0.134375 = $0.13
C) $0.21 - $0.13 = $0.08 difference/ounce
Which two grids can be combined to represent 140%
Answer:
C and D
Step-by-step explanation:
HELP PLEASE NO SPAM!!! Solve the proportion. 3.6/h= 7.2/12.5
Answer:
Hello! answer: 6.25
Step-by-step explanation:
With these we will cross multiply so 12.5 × 3.6 = 45 so now that we have that we can just divide by 7.2 for h! so... 45 ÷ 7.2 = 6.25 so h = 6.25 HOPE THAT HELPS and heres a visual picture
NEED HELP ASAP!!! EASY QUESTION :)
HELP ASAP PLEASE
s=ut+1/2at²
s=30 u=2 t=6
a=?
What is A
Answer:
a = 1m/s²
Step-by-step explanation:
Given the formula
s=ut+1/2at²
Given
s=30
u=2
t=6
Required
a=?
Substitute
A = 2(6) + 1/2a(6²
30 = 12 + 36a/2
30-12 = 18a
18 = 18a
Swap
18a = 18
a = 181/18
a = 1m/s²
PLEASE HELP!!
The first answer gets BRAINLY and shows steps
The graph below represents slope as a rate of change
Which is the slope of the line shown?
A. 4.8
B. -3
C. -2/3
D. 2/3
Answer:
D. 2/3
Step-by-step explanation:
Two distint points on the graph are
(0, -3) and (6, 1)
Slope = (rise in y) / (run in x)
Rise:
y goes from -3 to 1
rise = 4
Run
x goes from 0 to 6
run = 6
Slope = 4/6
reduce
Slope = 2/3
A(x)=x/x-1 and B(x)= 1/x+3
1)For which values of x are the expressions A (x) and B (x) undefined; How? 'Or' What
do we name such values.
Solve for x. Using the image above!
Answer:
x = 15.81
Step-by-step explanation:
horizontal leg of triangle = 15
vertical leg of triangle = 9 - 4 = 5
using the Pythagorean theorem:
x² = 15² + 5² = 225 + 25 = 250
x = √250 = 15.81
Need help
No web link
Simplify
x^( 2a - b ) + ( 2b + c ) + ( 2c + a ) =
x^2a + a + 2b - b + 2c + c =
x^3a - b + 3c
Step-by-step explanation:
Simply add the exponents after combining the bases
[tex] {x}^{2a - b} \times {x}^{2b - c} \times {x}^{2c + a} [/tex]
[tex] = {x}^{2a - b + 2b - c + 2c + a} [/tex]
[tex] = {x}^{3a + b + 3c} [/tex]
Look at this shape:
Which image shows a rotation?
As
BM 1: 2. Find the value of angles x and y in circle A.
.X=
150°
175°
y =
to
Answer:
x = 35
y = 17.5
Step-by-step explanation:
By Central angle and its corresponding arc theorem:
x° = 360° - (175° + 150°)
x° = 360° - 325°
x° = 35°
x = 35
By inscribed angle theorem:
[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]
Answer:
x=35 y=17.5
Step-by-step explanation:
This problem wants you to find the angles of an inscribed and central angle.
Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.
I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,
175+150= 325
360-325=35
So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,
x=35
Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5
y=17.5
Subtract the polynomial
Answer:
Step-by-step explanation:
Right answer gets brainlist
Answer:
answer: 136
Heres the answer! Hope that helps!
20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
The figure has an area of 600 square centimeters.
In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:
[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)
Where:
[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.By applying area formulas for squares and triangles, we expand (1):
[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)
Where:
[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:
[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]
[tex]A = 600\,cm^{2}[/tex]
The figure has an area of 600 square centimeters.
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Emma is taking a multiple choice test. Her grade is given by the equation
y= 125 – 5x, where y represents her final score and x represents the number of
questions she got wrong. What could the number 125 represent in the equation?
Answer:
The number of questions answered.
Step-by-step explanation:
Number of questions answered minus 5 questions she got wrong equals her final score.
HELP ASP I need help I just need an answer please please
Answer: C has the three equivalent numbers.
could you help me with this maths problem please
10 - ____ = 9 1/8
i need to find the fraction taken away from 10 to get 9 1/8
Answer:
12
Step-by-step explanation:
I forgot Sorry
Answer:
The answer is 7/8.
You can simply bring 9⅛ to the left hand side
You'll have your answer .
To verify
10-7/8 = 73/8
which further simplifies to 9⅛.
Thanks
Find the total area round to the nearest 10th if necessary use the pi symbol on calculator
Answer:
[tex] Total \:area\approx 290.5\: ft^2 [/tex]
Step-by-step explanation:
Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]
(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])
[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]
[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]
[tex]\therefore Total \:area=1.57(121 + 64) [/tex]
[tex]\therefore Total \:area=1.57(185) [/tex]
[tex]\therefore Total \:area=290.45\: ft^2 [/tex]
[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]
Is this linear , quadratic or exponential?
Answer:
exponential i think
Step-by-step explanation:
Answer:
Exponential.
Step-by-step explanation:
Notice how each time the x goes up by one, the y multiplies by 2.
give an example of how random sampling process is used in a real-world situation
Answer:
Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study
Step-by-step explanation:
Is the ratio 15:12 equivalent to these? Explain your reasoning.
Let's simplify the ratio
[tex]\\ \sf\longmapsto 15:12[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]
Cancel by 3[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 5:4[/tex]