Given f(x) and g(x)= f(k•x), use the graph to determine the value of k
Answers
Answer:
[tex] \displaystyle \boxed{k = 3}[/tex]
Step-by-step explanation:
to determine the Value of k we need to find the equation of f(x) and g(x)
finding the equation of f(x):
f(x) is a linear function which form is given by:
[tex] \displaystyle f(x) =mx + b[/tex]
where:
m is the slope b is the y-interceptfrom the graph we acquire that
[tex]b = 4[/tex]
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we obtain that both ∆x and ∆y is 1 thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 1[/tex]
altogether we acquire:
[tex] \displaystyle f(x) =x + 4[/tex]
finding the equation of g(x):
likewise f(x)
from the graph we obtain that
∆x=1∆y=3thus substitute:
[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]
simplify:
[tex] \displaystyle m = 3[/tex]
from the graph we acquire
b=4altogether substitute therefore
[tex] \displaystyle g(x) =3x + 4[/tex]
finding the value of k:
given that,
[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]
so our equation is
[tex] \displaystyle kx + 4 = 3x + 4[/tex]
cancel 4 from both sides:
[tex] \displaystyle kx = 3x [/tex]
divide both sides by x:
[tex] \displaystyle \boxed{k = 3}[/tex]
and we're done!
Disclaimer:
at the following link we posted the complete question
the complete question:
https://brainly.com/question/24201282Answer:
k = 3
Step-by-step explanation:
Graph is in attachment .
Finding equation of first line [ f(x) ] :-
We can see that the line passea through point ( 0,4) . Therefore ,
y intercept = 4Also it passes through (-4,0 )
Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.
m = y ₂ - y₁ / x ₂ - x₁ m = 4 - 0 / 0 - (-4) m = 4/4 m = 1Equation of f(x) :-
y = mx + c y = 1 * x + 4 y = x + 4 f(x) = x + 4Similarly when we will find the equⁿ of g(x) :-
y = 3x + 4g(x) = 3x + 4By question :-
f(x ) and g(x) = f ( k • x ) 3x + 4 = kx + 4 kx = 3x k = 3
Related Questions
How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge
Answers
Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
40 pointsanad brainliest for this, it's really important!
Answers
Step-by-step explanation:
C = 6 n + 4,500
the set up cost is represented by the initial value of the function, which is $4,500.
the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.
Given PQR, R=90º....
Answers
Answer:
RQ = 9 units
Step-by-step explanation:
If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?
Answers
Answer:
$ 20d
Step-by-step explanation:
Since each Apple costs d dollars , therefore 20 will cost , $ 20d .
The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.
To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.
Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.
Let's analyze each option:
A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.
B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.
D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.
To learn more about equation/expression click on,
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Complete question is:
If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?
A. 20a/d
B. 20d/a
C. a/20d
D. 20/ad
Whole numbers are _______ intergers
1. Never
2. Always
3. Sometimes
Answers
Answer:
Whole numbers are ALWAYS integers.
(Sorry didn’t have the an element of sign so I used this)
Hans withdrew 40 dollars from his checking account write a signed number to represent this change in his account
Answers
Answer:
-40
Step-by-step explanation:
I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.
Hope this helps (●'◡'●)
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan
Answers
Answer:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
(6ab-8a+8) - (7ab-1 )
Answers
Answer:
[tex]- ab - 8a + 9[/tex]
Step-by-step explanation:
[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]
hope this helps you.
Answer:
-ab - 8a + 9
Step-by-step explanation:
(6ab - 8a + 8) - (7ab - 1) =
= 6ab - 8a + 8 - 7ab + 1
= -ab - 8a + 9
What kind of statement does the shorthand below represent?
Answers
Answer:
it's a transitive statement.
Similar to "If a is equal to b and b is equal to c, then a is equal to c."
a = b and b = c, then a = c
Step-by-step explanation:
Solve 3 - x/2 > 15..
Answers
Answer:
x ≥-24
Step-by-step explanation:
3 - x/2 ≥ 15
Subtract 3 from each side
3-3 - x/2 ≥ 15-3
-x/2 ≥12
Multiply by -2
-x/2 * -2 ≥12 *-2
x ≥-24
Answer:
A. x ≤ 24
Step-by-step explanation:
[tex] \small \sf \: 3 - \frac{x}{2} ≥ 15 \\ [/tex]multiply both side by 2 . Since 2 is the positive the inequality direction remains the same.
6 - x ≥ 30subtract 6 from both sides
6 - 6 - x ≥ 30 - 6 -x ≥ 24Divide both side by - 1. Since -1 is negative, the inequality direction remains the change.
x ≤ -24simplify 18÷3x2+1 please
Answers
Answer:
the answer is gonna be
6x^2+1
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]
[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]
[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which is a simplified form of the expression -9(y + 1) + 5y?
A. 4y + 9
B. 6y + 1
C. -14y + 9
D. -4y - 9
Answers
Answer:
option D
Step-by-step explanation:
[tex]-9( y+ 1) + 5y\\\\= -9y - 9 + 5y \\\\= -4y - 9[/tex]
D is the correct answer
find 22×28×25×30 in acres?
Answers
Answer:
22x 28 x 25 x 30 = 462000
whats are the units.....cm or m
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{22(28)(25)(30)}\\\large\textsf{22(28) = \bf 616}\\\large\textsf{616(25)(30)}\\\large\textsf{616(25) = \bf 15,400}\\\large\textsf{15,400(30)}\\\large\textsf{ = \bf 462,000}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 462,000}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?
Answers
Answer:
What are the statements?
Step-by-step explanation:
HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Answers
Step-by-step explanation:
here is the answer friend
Uh could someone help me on this please?
Evaluate the following, using distributive property.
(i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
Answers
Answer:
39×99=3861.
85×43+43×15=4300
39 multiple 99= 3861
Step-by-step explanation:
85 multiple 43 add 15=4300
Help on this question
Answers
Answer:
is it me or can I not see anything
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
Answers
[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
What is the slope of the graph?
Answers
(-1, -4)
The formula is y2-y1/x2-x1
-4 - -1 / -1 - 0
-3/-1
The slope will be positive 3
Sorry if it’s wrong
Hope this helped *smiles*
Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not
Answers
Explanation: In this question, Hermès gives an incorrect answer, claiming that the opposite of 9 is also 9. To find the correct answer, let’s first look at his reasoning. He was right in one thing- to find the opposite of a number, we need to find one that shares the same distance from zero. However, he was wrong in believing that the number had to be exactly the same. To find the opposite number, find the same distance from zero in the opposite direction. In this case, the distance from zero is 9. Go in the opposite direction from zero, 9 times. This would give you an answer of -9. Because of this, the opposite of 9 is -9.
Hope this helps! Comment below for more questions.
Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
To find the same distance away from zero in the opposite direction to determine the opposite number.
The distance from zero in this situation is 9. nine times in the opposite direction from zero.
Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.
Learn more about the number line here:
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Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?
Answers
Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.
What is true about the areas of the trapezoids?
Each area is equal to half of the area of ABCD.
The area of AXYD is less than the area of BXYC.
The area of AXYD is greater than the area of BXYC.
Each area is equal to the area of ABCD.
Answers
Answer:
Each area is equal to half the area of ABCD
Step-by-step explanation:
AX ≅ CY
In parallelogram, opposite sides are equal.
AB = CD
AX + XB = CY + YD
CY + XB = CY + YD
XB = CY + YD - CY
XB = CY
Both trapezoids have equal area
Area of AXYD + area of BXYC = area of ABCD
Answer:
A. ) Each area to equal to half of the area of ABCD
Step-by-step explanation:
Edge 2021
The sum of two numbers is -4 and their difference is zero. Find the numbers.
Answers
Answer:
- 2 and - 2
Step-by-step explanation:
let the 2 numbers be x and y , then
x + y = - 4 → (1)
x - y = 0 → (2)
Add the 2 equations term by term to eliminate y
2x + 0 = - 4
2x = - 4 ( divide both sides by 2 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
- 2 + y = - 4 ( add 2 to both sides )
y = - 2
The 2 numbers are - 2 and - 2
what is 0.000 008 54 in scientific notation please explain perfectly lollll
Answers
Answer:
0.000 008 54 = 8.54 x [tex]10^{-6}[/tex]
Step-by-step explanation:
here is the deal / the rules for scientific notation
1) the number in front of the [tex]10^{x}[/tex] has to be [tex]\geq[/tex] 1 and < 9
that rule is VERY IMPORTANT... [tex]\geq[/tex] 1 and < 9
2) if you move a decimal point to the left the exponent goes up by one
3) if you move the decimal to the right it goes down by one
examples:
314,000,000,000
starting from the right we move the decimal "11" positions to get to
3.14 (notice that I can not stop at 31.4 because that is greater than 10)
so the answer would be 3.14 x [tex]10^{11}[/tex]
your question 0.000 008 54 has to move the decimal SIX positions to
the the right (-6) ... 8.54 x [tex]10^{-6}[/tex]
Which linear inequality represents the graph below? (-2, 3) & (0, -2)
Answers
Answer:
no hablo inglés wey perdón corona y gracias
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answers
Answer:
8.42
Step-by-step explanation:
* means multiply
31.65/5.45 = x/1.45
5.45x = 31.65 * 1.45
5.45x = 45.8925
x = 45.8925/5.45
x = 8.42064220183
the principal argument of z = —4+i4√3 is
Answers
Answer:
Let z=−4+0i. Then, ∣z∣=
(−4)
2
+0
=4
Clearly, the point (−4,0) representing z=−4+0i lies on the negative side of real axis. Therefore, principal argument of z is π.
Which of the following is NOT written in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4
How many solutions does the following system have?
4x – 2y = 6
2x - y = 3
a. One
b. Infinitely many
c. Two
d. None
Helppp :( please and thank u
Answers
Answer:
b.
b.
Step-by-step explanation:
scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.
the only number not following that rule is b (2 positions in front of the decimal point).
4x - 2y = 6
2x - y = 3
are the same line, as we can multiply the second equation by 2 and get exactly equation 1.
so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.
helppp plzzz right nowwwwwwww
Answers
Answer:
They are parallel so also -4/3
Diego runs for 32 seconds at -8. meters per second .what is his finish point?
Answers
Answer:
The finishing point 4
Step-by-step explanation:
32/8=4
