Answer:
f(x) is shrinked
Step-by-step explanation:
Given
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
Required
The effect of dilation on f(x)
From the given parameters, we have:
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
On a general term;
[tex]g(x) = k * f(x)[/tex]
So by comparison:
[tex]k = \frac{1}{3}[/tex]
When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD?
Answer:
[tex]\angle CFD =105^o[/tex]
Step-by-step explanation:
Given
[tex]\angle D FE = \angle DE F = 75^o[/tex]
See attachment
Required
Determine the measure of [tex]\angle CFD[/tex]
[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.
So:
[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line
Substitute known values
[tex]\angle CFD + 75^o = 180^o[/tex]
Collect like terms
[tex]\angle CFD =- 75^o + 180^o[/tex]
[tex]\angle CFD =105^o[/tex]
Simplify (-63) ÷ (-9)
Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 63 and 9 is 9
Divide both the numerator and denominator by the GCD
63 ÷ 9
9 ÷ 9
Reduced fraction:
7/1
Therefore, 63/9 simplified to lowest terms is 7/1.
Step-by-step explanation:
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?
Answer:
12,24 etc
Step-by-step explanation:
4 and 6 both go into 12 evenly
4*3 = 12
6*2 = 12
12 is the least common denominator
We could also use 24
4*6 = 24
It is a common denominator, but not the least common denominator
We can use any multiple of 12
find the value of m if 3m/5+m/2=4/1+2/5
Answer: m = 3.89
Step-by-step explanation:
(3m/5)+(m/2) =(4/1)+(2/5)
= (taking LCM) (6m+5m)/10 = (20+1)/5
or, 11m/10 = 21/5
or, 55m = 210
or, m = 210/55
so, m = 3.89
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
Answer: 12
Step-by-step explanation:
16 X 20c = 3.20
12 x 5c = 0.60
total is 3.80
Amy has 12 five c coins.
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
(solving rate problems). Michelle can
complete a
landscaping job in 6
days and Danielle
can complete the
same job in 4 days.
Working together, in
how many days
could they complete
the job
They could complete the job together in 2.4 days
The known parameters are;
The number of days it would take Michelle to complete the landscaping job = 6 days
The number of days it would take Danielle to complete the landscaping job = 4 days
The unknown parameter;
The number of days can the job be completed if they work together
The process of finding the solution;
The rate at which Michelle works = 1/6 of the landscaping work per day
The rate at which Danielle works = 1/4 of the landscaping work per day
Method;
Find their combined work rate, from which the time would take them to complete the job together can be found
Let, C, represent their combined work rate
Therefore, we have;
C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day
The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days
∴ The number of days they could complete the job together = 2.4 days.
Learn more about unit rate here;
https://brainly.com/question/19605901
What's the answer to this?
Answer:
2, 0, 1
Step-by-step explanation:
In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.
I need help ASAP!!!Only people that know the answer is right thanks
Answer:
700mi cube
Step-by-step explanation:
10x7x10=700mi cube
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
B or A
Step-by-step explanation:
got it right on a test a year ago
(is probably B though.)
a) 7°
c) 26°
b) 64°
d) 83°
Answer:
x = 26
Step-by-step explanation:
sin x =4/9
Take the inverse sin of each side
sin ^-1 (sin x) = sin^-1(4/9)
x=26.38779
To the nearest degree
x = 26
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?
Answer:
y = -1/2x
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(-4) + b
To find b, multiply the slope and the input of x (-4)
2 = 2 + b
Now, subtract 2 from both sides to isolate b.
0 = b
Plug this into your standard equation.
y = -1/2x + 0 or y = -1/2x
This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)
Hope this helps!
The radius of a circle is 5 cm. Find its area to the nearest tenth.
Answer:
78.5
Step-by-step explanation:
πr²
= π×5²
= 25π
= 78.5
what represents the distance traveled and time spent traveling
Answer:
b) y
Step-by-step explanation:
joannes speed = 250/2.5 =100km/h
francois speed = 100-10 = 90km/h
after 5h, francois would have travelled 450
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
Please help me solve this
9514 1404 393
Answer:
a) q = 15 at minimum average cost; q = 10 at minimum marginal cost
b) marginal cost = average cost = 225 at q = 15
Explanation:
The average cost is the total cost divided by the number of units.
A = C/q = 300 -10q +1/3q^2
The marginal cost is the derivative of the total cost.
M = 300 -20q +q^2
__
a) The minimum average cost is where its derivative is zero.
A' = 0 = -10 +2/3q ⇒ q = 15
The minimum marginal cost is where its derivative is zero.
M' = -20 +2q ⇒ q = 10
__
b) The average cost for 15 units produced is ...
A(15) = 300 -10(15) +1/3(15^2) = 225
The marginal cost at that same production level is ...
M(15) = 300 -20(15) +15^2 = 225
The average cost and marginal cost are equal at the minimum average cost.
By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20
Answer:
Copied text is stored in the clipboard for 1 hour.
I just need the numbers anyone help ?
Answer:
See below & pic.
Step-by-step explanation:
Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.
Consider this polynomial, where a is an unknown real number.
p(t) = x^4 +5x^3 + ax^2 - 3x + 11
The remainder of the quotient of P(x), and (x+ 1) is 17.
Braulio uses synthetic division to find the value of a, and Zahra uses the remainder theorem to find the value of a.
Answer:
Brauilo is wrong because he divided by (x+1) instead of (x-1)
Step-by-step explanation:
The remainder Theorem states that
if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as
which is why we divide by -1, or subsitue -1 into the equation p(x).
The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.
The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)
From the question, we have the following parameters:
[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]
[tex]\mathbf{Divisor =x+ 1}[/tex]
[tex]\mathbf{Remainder = 17}[/tex]
First, we set the divisor to 0.
[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]
So, we have:
[tex]\mathbf{x+ 1 = 0}[/tex]
Solve for x
[tex]\mathbf{x= -1}[/tex]
The above equation means that, the value of x that will be used to test the polynomial is -1
From the question,
Zahra used [tex]\mathbf{x= -1}[/tex]; this is represented as: P(-1)Braulio used [tex]\mathbf{x= 1}[/tex]; this is represented in the synthetic divisionHence, Braulio is incorrect, because he used the wrong value of x
Read more about polynomial division at:
https://brainly.com/question/12011809
5×12÷[-12÷{15+(4-13)}]
Answer:
=5×12÷[-12÷{15+(-9)}]
=5×12÷[-12÷6]
=5×12÷(-2)
=-30
Step-by-step explanation:
Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
Find the area and perimeter of the given plain figure
This shape is the rhombus, then ;
Rhombus area = side length × heightA= b × h
A= Rhombus area
h = height ; b = side length ( length of any side)
h= 3 inch ; b= 4.5 inch ; A=?
A= b × h
A= 4.5 × 3 = 13.5 inch²
____o__o_____
The perimeter of a rhombus = 4 × side of lengthP = 4× a
P = The perimeter of a rhombus ; a = side of length
p= ? ; a = 4.5 inch
P = 4× a
P = 4× 4.5 = 18 inch
I hope I helped you^_^
Find the five-number summary for the data. {231, 201, 221, 210, 225, 228, 212, 236, 225, 201, 216, 215, 231, 226, 206, 240}
Answer:
201, 206, 216, 228, 240
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST (if its to small click on it and zoom in)
Answer:
The 1st solution
Step-by-step explanation:
all of the values are satisfied.
A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.
____feet squared
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
given m||n, find the value of x and y
Answer:
x = 145, y = 35
Brainliest, please!
Step-by-step explanation:
y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.
x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145
Find the place value of 3 in 3546.
Answer:
that is the thousands place value.
the place value of 3 in 3546.= 3000
What is the quotient of es031-1?
Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
