f(x)
(2, 0) and (3, 2)
m = y - y1
x - x1
m = 2 - 0
3 - 2
m = 2
y - y1 = m(x - x1)
y - 0 = 2(x - 2)
y = 2x - 4
f(x) = 2x - 4
g(x)
(2/3, 0) and (1, 2)
m = y - y1
x - x1
m = 2 - 0
1 - 2/3
m = 6
y - y1 = m(x - x1)
y - 2 = 6(x - 1)
y = 6x - 4
g(x) = 6x - 4
since both equations are linear that means the graphs will be straight lines with y-intercept being -4 for both of the graphs.
if,
g(x) = f(k*x)
f(x) = 2x - 4
f(k*x) = 2k*x - 4
6x - 4 = 2k*x - 4
6x = 2kx
6 = 2k
k = 3.
I hope the answer is correct. All the best!
x^2 - 6x + 1 = 0 by completing the square
Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
Answer:
[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]
x−5/8=2x−1 solve for x
Answer:
[tex] if \: \frac{x - 5}{8} = 2x - 1) \times 8 \\ x - 5 = 16x - 8 \\ 15x = 3 \\ x = \frac{15}{3} \\ \therefore \: x = 5 \\ if \: your \: quetion \: is \\ x - \frac{5}{8} = 2x - 1) \times 8 \\ 8x - 5 = 16x - 8 \\ 8x = 3 \\ x = \frac{3}{8} \\ try \: to \: use \: brackets \: next \: time[/tex]
QUICK: Please solve this for me plz
Answer: y: 5.5
Step-by-step explanation: combine 3/2 and x
y=3/2+ 4=5.5
1
Select the correct answer.
What is the solution for t in the equation?
It - t = 2
=
.
t =
7
30
A. B.
t
11
O C.
t = 6
OD.
30
A computer selects a number
X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?
Answer:
22.5
Step-by-step explanation:
The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
(a) Distribution of X is uniform distribution X to U(4,11).
(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5
Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)
(c) We have to find probability that the average of 35 numbers will be less than 7.9.
P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.
Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
which units in the metric system are used to measure distance?
Answer:
In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.
I think it is right ...
A)
The car accelerates for 10 seconds
B)
The car moved forward at a constant speed for 6 seconds before moving
backwards
The car accelerated for 6 seconds and continued at a constant speed
D)
The car moved forward at a constant speed for 6 seconds and then stopped
moving suddenly
Answer:
C The car accelerated for 6 seconds and continued at a constant speed
NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!!
the function:
f(x) = 3x^3 + 11x^2 + 5x - 3
Answer:
Use the Rational Zero Theorem to find rational zeros
Step-by-step explanation:
qs and tv are parallel lines
PLEASE HELP ME!!! BOTH PICTURES ARE RELATED!
Answer:
the answer is 22 percent which is science
Answer:
100 marks have been obtained in the hindi subject.
Step-by-step explanation:
First you have to find how many marks are obtained by one degree. So you have:
450marks/360°=1.25marks/degree
Then you have to find how many marks are obtained for each subject.
1.25marks/degree×80°= 100 marks
1.25×72= 90 marks
1.25×70= 87.5 marks
1.25×90= 112.5 marks
1.25×48= 60 marks
100+90+87.5+112.5+60=450 marks
what the power a when 5^a = 1/125
Answer:
a = -3
General Formulas and Concepts:
Algebra I
Solving Exponential EquationsExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 5^a = \frac{1}{125}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 5^a = \frac{1}{5^3}[/tex]Rewrite [Exponential Property - Rewrite]: [tex]\displaystyle 5^a = 5^{-3}[/tex]Set: [tex]\displaystyle a = -3[/tex]For my mathematics homework
Answer:
how do u solve this?
Step-by-step explanation:
I need help asap
write an inequality that represents the graph .
Answer:
x ≤ -5
-5 is the point and the point is filled and pointing to the left so it's less than or equal to
A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last
How long the meeting last = End time - Starting time
= 10:25 - 9:30
= 9:85 - 9:30 [I converted 10:25 to make it easier to see the
subtraction. This is posibble because 1hr = 60mins]
= 55 mins
5a+3a-4=36
Somebody please answer this
Answer:
a=4
Step-by-step explanation:
combine like terms
8a-4=36
add on both sides
8a-4+4=36+4
8a=32
divide
a=32/8
a=4
Answer:
a = 5
Step-by-step explanation:
5a+3a = 8a
8a - 4 = 36
8a - 4 + 4 = 36 + 4
8a = 40
a = 40 divied by 8
a = 5
what is 523,278,and 351 .Estimate the total
Answer:
Your weight...
Step-by-step explanation:
Evan ran 20 meters in 5.8 seconds. Yelena ran 20 meters in 5.4 seconds. Who ran faster? Explain how you
know.
Answer: Yelena
Step-by-step explanation:
5.4 is shorter than 5.8
Answer:
Yelena
Step-by-step explanation: I know this because Yelena and Evan both ran the same distance, but Yelena's time for the run was faster than Evan's.
Between which two consecutive whole numbers can we find 96−−√?
A.7 and 8
B.8 and 9
C.9 and 10
what two numbers have a sum of 4 and product of 12
Answer:
6 and 2 this is the answer my child.
A smartphone costs $140. Sales tax is 4%. What is the total cost, including tax?
Answer:
145.60
Step-by-step explanation:
numbers between 1/10 and 4/5?
I believe your answer is 2/10,3/10,4/10,5/10,6/10,7/10.
4/5 can be converted to 8/10 by multiplying the denominator and the numerator by 2 so the new numbers are 1/10 and 8/10 the numbers that are between that are 2/10,3/10,4/10,5/10,6/10,7/10.
order -.48, -.47, -.45, -.46 from least to greatest pls
Answer:
-0.48, -0.47, -0.46, -0.45
Step-by-step explanation:
Initially, you may think to put -0.45 as the least value out of the four. However, we are dealing with negatives. This changes the way we order the numbers.
Here's what you need to know:
The closer a negative number is to 0, the greater it is. The farther a negative number is to 0, the less it is. For instance, -1 is a lot closer to being a positive number as opposed to -14.
Now, you apply that concept to this question.
-0.45 is the greatest since it is closer to 0 than -0.48!
I hope you find this helpful :D
What is the value of |15-2|.
Hello! The l l notation indicates "absolute value"
Keep in mind that the absolute value is always positive. The absolute value is the distance from zero. The distance is never negative.
So
l15-2l=l13l=13
I hope this helps you!
[tex]GraceRosalia :) :) :)[/tex]
guess my age and ill make you brianlest 2007 8 14
Answer:
15 or 16
is it? I dont know
Answer:
14 year old
Step-by-step explanation:
8 14 2007
someone please help me
Answer:
that's an angle bisector my man
Corresponding Angle is the answer
Find the measure of the missing angles.
98°
с
b
Answer:
196
Step-by-step explanation:
a- 98
b-196
c-196
d=98
add 98+98=196
Solve for p.
3(p + q) = p
A. q = â€"two-thirds
B. q = â€"start fraction three over two end fraction
C. p = â€"two-thirds
D. p = â€"start fraction three over two end fraction
Solve for b, then find the value of b when a = 3.
4a = 2b â’ 7
A. â€"nine-halves
B. five-halves
C. nineteen-halves
D. 17
d = rt
A. r = dt
B. r equals t over d
C. r equals d over t
D. r equals d minus t
Find the width of a rectangle with a perimeter of 90 and a length of 15.
A. 90
B. 15
C. 45
D. 30
Answer: C
Step-by-step explanation:
thank me later
What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly
Answer:
-32.5 hope this helps:)
Which of the following rational number between 3/7 and 7/8 ?
13/56
19/56
27/56
53/56
Answer:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
Help me I need help on problem 6
Answer:
Mega-cleaner
Step-by-step explanation:
cleaner per quart. Per means to divide.
Solve for clean-all
[tex]1 \frac{1}{2} \div 2[/tex]
convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1
[tex] \frac{3}{2} \div \frac{2}{1} [/tex]
keep chang flip
[tex] \frac{3}{2} \times \frac{1}{2} [/tex]
multiply
[tex] \frac{3}{4} [/tex]
Mega -cleaner
[tex]3 \frac{1}{2} \div 4[/tex]
make an improper fraction and make 4 a fraction
[tex] \frac{7}{2} \div \frac{4}{1} [/tex]
keep change flip
[tex] \frac{7}{2} \times \frac{1}{4} [/tex]
multiply
[tex] \frac{7}{8} [/tex]
compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2
[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]
7/8 is bigger than 6/8