the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left & five units down. Write the equation of the new function in vertex form.
Answers
Answer:
y = 3 | x + 2 | - 5Step-by-step explanation:
The absolute value function is:
y = | x |Step 1. Function is vertically stretched by a factor of 3:
y = 3 * | x |Step 2. Shifted two units left:
y = 3 | x + 2 |Step 3. Shifted 5 units down:
y = 3 | x + 2 | - 5See attached
Steps are Black → Blue → Green → Red
Related Questions
Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki
Answers
Answer:
What is this about?
Step-by-step explanation:
What topic?
1/x+x/2=11/6 transformable to quadratic equations
Answers
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
To learn more, visit the link below:
https://brainly.com/question/18251794
please help it's due right now
Answers
Answer:
it should be 30 gallons
Step-by-step explanation:
n/4 + 1 =5 how do I solve this and show my work
Answers
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
Do you guys know what is after you become an expert??
Answers
Answer:
Ace is the next level after expert.
how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answers
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
Which side lengths form a triangle that is similar to triangle ABC
Answers
Answer:
A.
Step-by-step explanation:
Bc if you multiply every side by 3 you get the answer choices in answer A.
PLZ GIVE BRAINLIEST AND PUSH THANKS BUTTON IM IN A BET ABOUT WHOEVER WINS GETS $50
Side lengths form a triangle that is similar to triangle ABC are 30, 21, 45 and this can be determined by using the given data.
Given :
Triangle ABC.AB = 10AC = 15BC = 7The following steps can be used in order to determine the side lengths form a triangle that is similar to triangle ABC:
Step 1 - First determine the ratio of the length of AB and AC.
[tex]\rm \dfrac{AB }{AC} = \dfrac{10}{15}[/tex] --- (1)
Step 2 - Now, determine the ratio of the length of AC and BC.
[tex]\rm \dfrac{AC }{BC} = \dfrac{15}{7}[/tex] --- (2)
Step 3 - Determine the ratio of the length of BC and AB.
[tex]\rm \dfrac{AB }{BC} = \dfrac{10}{7}[/tex] --- (3)
Step 4 - Now, check the ratio of the side lengths given in option A).
[tex]\dfrac{30}{21}=\dfrac{10}{7}[/tex] (Similar to expression 3)
[tex]\dfrac{45}{21}=\dfrac{15}{7}[/tex] (Similar to expression 2)
[tex]\dfrac{30}{45}=\dfrac{10}{15}[/tex] (Similar to expression 1)
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/10652623
Market research suggests that in a five year period 8% of people with cable television will get rid of it, and 26% of those without it will sign up for it. Compare the predictions of the Markov chain model with the following data on the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0% in 2000. What is the long run fraction of people with cable TV?
Answers
Answer: in the long run, 76.47% will have Cable TV
Step-by-step explanation:
Given the data in the question;
the matrix of transition from having cable TV to not having cable TV is
P = [ 0.92 0.08
0.26 0.74 ]
Now if [ 0.564 0.436 ] is the distribution in 1990,
then in 1995 we have;
[ 0.564 0.436 ] [ 0.92 0.08 = [ 0.6322 0.3678 ]
0.26 0.74 ]
so 63.22% will have cable TV in 1995
[ 0.6322 0.3678 ] [ 0.92 0.08 = [ 0.6773 0.3227 ]
0.26 0.74 ]
also 67.73% will have cable TV in 2000
let V = [ V1 V2 ] be the long run vector then
V1 + V2 = 1 ------lets say equ1 and VP = V
⇒[ V1 V2 ] [ 0.92 0.08 = [V1 V2 ]
0.26 0.74 ]
⇒0.92V1 + 0.26V2 = V1
0.08V1 + 0.74V2 = V2
OR 0.26V2 = 0.08V1
from equ 1, V1 = (1 - V2)
SO
0.26V2 = 0.08 (1 - V2)
0.26V2 = 0.08 - 0.08V2
0.34V2 = 0.08
V2 = 0.08 / 0.34
V2 = 0.2353
THUS
0.26V2 = 0.08V1
0.26(0.2353) = 0.08V1
0.061178 = 0.08V1
V1 = 0.061178 / 0.08
V1 = 0.7647
Therefore in the long run, 76.47% will have Cable TV
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answers
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below.
Original claim: Less than 51% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0148
a. State a conclusion about the null hypothesis. (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the P-value is less than or equal to to α.
B. Reject Upper H0 because the P-value is greater than α.
C. Fail to reject Upper H0 because the P-value is greater than α.
D. Fail to reject Upper H0 because the P-value is less than or equal to α.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51%.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Answers
Answer:
A.Reject Upper H0 because the P-value is less than or equal to to α.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Step-by-step explanation:
Given the claim :
Less than 51% will erase their personal information :
We take this as the null ;
H0 < 0.51 ;
Alternative hypothesis which is the opposite of the Null
H1 > 0.51
P value = 0.0148
α = 0.05
At α = 0.05 ; if p value is less than α ; reject the the Null
If p value is greater than Null ; then we fail to reject the Null
Pvalue < α
The P value is less than 0.05; then we reject the Null
B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%
HURRY !!!!
i need help with this question
Answers
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answers
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
Blake rode his bike 104 miles at a constant speed for 8 hours. How long did it
take him to ride 26 miles?
Answers
Answer:
I think 2hours
Step-by-step explanation:
but I'm not sure
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Answers
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
pls help!!!! ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
1:2
Step-by-step 1:2explanation:
it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2
Please help....... thanks
Answers
Answer:
7 weeks
Step-by-step explanation:
49 divided by 7 is 7
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answers
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
https://brainly.com/question/23286309
a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.
Answers
Answer:
300g
Step-by-step explanation:
Given parameters:
Mass of carbohydrate in the cereal meal = 18g
Unknown:
Grams of carbohydrate recommended each day = ?
Solution:
The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;
6% x total carbohydrate recommendation = 18
[tex]\frac{6}{100}[/tex] x total carbohydrate = 18
Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex] = 300g
Answer:
The answer is 300 grams of carbs on a 2000-calorie diet!
Step-by-step explanation:
Mass = 18g
daily allowance: ???
6% x total carbohydrate recommendation = 18
x total carbohydrate = 18
Total carbohydrate = 18 x = 300g on a 2000-calorie diet
Judy gave 1/2 hour swimming lessons to children in her neighborhood. If she taught 16 hours last week, how many lessons did she give?
Answers
What type of triangle can have one right angle?
Answers
Answer:
A right triangle and an isosceles
Step-by-step explanation:
Describe the steps you would use to solve the equation 5( 2a - 3 ) = 20 + a.
PLEEEEASE HELP ME AND ILL MARK YOU BRAINLIEST
Answers
Answer:
Distribute the 5 to get 10a-15=20+a and solve
what is the solution for a.
ab+c=d
Answers
Answer:
The second option
Step-by-step explanation:
Remember we can do pretty much anything we like to an equation as long as we do the same to both sides.
Subtract
c
from both sides:
a
b
+
c
−
c
=
d
−
c
∴
a
b
=
d
−
c
Divide both sides by
b
a
b
b
=
d
−
c
b
∴
a
=
d
−
c
b
TRUE OR FALSE?!?!?!!??!?!?!
Answers
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
What are the slope and y-intercept
Answers
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
By using the slope and the points given; especially pints (2, 12) and (-2, 14)
Y intercept b = 13
Please help me...I need to turn this in PLZZZZ!!!!!!
Answers
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answers
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
What are the four kinds of parabolas
Answers
Answer: Focus, Vertex, Axis, and Directrix.
Step-by-step explanation:
PLS HELP IM BEGGING You
Answers
Answer:The anwers is 5/6 in decimal it is 0.83repeating
Step-by-step explanation:
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12
Answers
The discriminant is greater than zero, the equation has 2 solutions
How to calculate the discrimant of quadratic equationGiven the quadratic expression as shown:
-x^4 + 4x + 1 + 3 = 0
x^4 - 4x - 4 = 0
The discriminant is given as b^2 - 4ac
where;
a = 1
b = -4
c = -4
Substitute
D =(-4)^2 - 4(1)(-4)
D = 16 + 16
D = 32
Since the discriminant is greater than zero, the equation has 2 solutions
Learn more on discriminant here; https://brainly.com/question/24730520
Answer: 2
Step-by-step explanation: got it right
Help plsssssssssssssssssssssss thanks so much
Answers
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation: