Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Answers
Answer:
1/3
Step-by-step explanation:
This is about the interpretation of the graph
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
Hope it helps you mark me as brinllent
Related Questions
plz help me please please
Answers
Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
The figure is a parallelogram.
Consecutive angles are supplementary ( sum to 180° ) , then
x + 65° = 180 ( subtract 65° from both sides )
x = 115°
Opposite angles are congruent , then
y = 65°
z = x = 115°
Which step could be used to help isolate the variable in the following equation? 5. 6j – 0. 12 = 4 1. 1j.
Answers
For the expression 5.6j - 0.12 = 4 + 1.1j, the value of variable j is 0.92.
What is the property of equality?
The operations of addition, subtraction, multiplication, and division do not change the truth value of any equation is called the property of equality.
The given expression is 5.6j - 0.12 = 4 + 1.1j.
To solve the above expression, we will use the following steps.
Step 1:
By the subtraction property of equality, subtract 1.1j on both sides. We get the expression,
[tex]5.6j - 0.12 -1.1j = 4 + 1.1 j - 1.1 j[/tex]
[tex]4.5 j -0.12 = 4[/tex]
Step 2:
By the addition property of equality, add 0.12 on both sides. We get the expression,
[tex]4.5j -0.12 + 0.12 = 4 + 0.12[/tex]
[tex]4.5 j = 4.12[/tex]
Step 3:
By the division property of equality, divide the above expression by 4.5. We get the expression,
[tex]\dfrac {4.5j}{4.5 }= \dfrac {4.12}{4.5}[/tex]
[tex]j = \dfrac {4.12}{4.5}[/tex]
[tex]j = 0.92[/tex]
Hence we can conclude that the value of variable j is 0.92.
To know more about the property of equality, follow the link given below.
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Dana bikes 10 miles in 50 minutes. At this rate, how far can she bike in 90 minutes? Enter your answer in the box.
Answers
10 miles 50 minutes = 1 mile 5 minutes = 6 miles 30 minutes = 18 miles 19 minutes
Answer: 18 miles
Step-by-step explanation: 1 mile = 5 minutes
So, 90 minutes = 18 miles.
Hope this helps! :)
Mark me brailiest and a thanks please!
Help plss, thank you.
Answers
7)D
8)D
Step-by-step explanation:
Try 9 and 10
Please answer this I’m tired as hell and I just want this to be over with
Answers
I've attached some theories related to angles have a look at it
Angle y and angle KJF are co-interior angles so they add up to 180°
132 + y = 180
y = 180 – 132
y = 48
y + z = 143 ( alternate angles )
48 + z = 143
z = 143 – 48
z = 95
Which is the best estimate of 75.2 x 9?
Answers
Answer:
676.8
Step-by-step explanation:
#carry on learning
Which expressions are equivalent to this exponential expression?.
Answers
The expression is equivalent to [tex]5^2[/tex].
Given
Expression; [tex]\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}[/tex]
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
[tex]\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2[/tex]
Hence, the expression is equivalent to [tex]5^2[/tex].
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What is the area of a rectangle if one side has a length of 12x^3 and
the other side has a length of 6x^2?
Answers
Answer:
The area of this rectangle is 72x^5
Step-by-step explanation:
A = l ∙ w
Let, l = length
Let, w = width
Step 1: Substitute the length and width for the two given values
1. A = (12x³)(6x²)
Step 2: Multiply
1. A = 72x^5
What is the percentage of lemons in the is group of lemons and strawberries?
Answers
Answer:
70%
Step-by-step explanation:
Total: 60
Strawberries: 18
Lemons: 42
[tex]\frac{42}{60}[/tex] = [tex]\frac{7}{10}[/tex] = 70%
The percentage of lemons in the group is equal to 70%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that in the image there are 60 objects in total, the number of lemons is 42 and the number of strawberries is 18.
Total: 60
Strawberries: 18
Lemons: 42
The percentage of the lemons will be calculated as,
Percentage = 42 / 60
Percentage = 0.7
Percentage = 0.7 x 100 = 70%
Therefore, the percentage of lemons in the group is equal to 70%.
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Gina bought x cans of peas for $0.85 each and yvcans of corn for $0.78 each. She boguth 2 more cans of peas than cans of corn. The total was $6.59. How many cans of oeas and cans of corn dis she buy?
I ONLY NEED THE EQUATION...I can get the numbers of cans and peas I just need the equations to find the numbers
This is Algebra....please help me!!
Answers
Answer:
Step-by-step explanation:
Number of cans of peas = x
Cost of 'x' cans of peas = x *0.85 = 0.85x
Number of cans of corn = y
Cost of 'y' cans of corn = 0.78*y = 0.78y
Number of cans of peas = number of cans of corn + 2
x = y + 2 --------------(I)
x - y = 2 ----------------(II)
Total cost = $ 6.59
0.85x + 0.78y = 6.59 -------------(III)
Substitute x = y +2 in equation (III)
0.85(y + 2) + 0.78y = 6.59
0.85y + 1.70 + 0.78y = 6.59
0.85y + 0.78y = 6.59- 1.70
1.63y = 4.89
y = 4.89/1.63
y = 3
Number of cans of corn = 3
Plugin y = 3 in equation (I)
x = 3 + 2
x = 5
Number of cans of peas = 5
what was the effect of Spanish rule on the French Huguenots?due tomorrow
choices are:
A) The French were driven from Fort Caroline. They could not practice their religion and their leader and his men were massacred.
B) The French were able to take advantage of weaknesses in the Spanish Army and to take over their fort at St. Augustine.
C) The Spanish moved the Huguenot cemetery away from their fort, because they didn’t like the French names.
Answers
C) The Spanish moved the Huguenot cemetery away from their fort, because they didn’t like the French names.
Two trains, Train A and Train B, weigh a total of 290 tons. Train A is heavier than Train B. The difference of their weights is 122 tons. What is the weight of each train?
Answers
Answer:
Train A is 168 tons and Train B is 122 tons
Step-by-step explanation:
Solve this problem 3 Times 7
Answers
Answer:
3 times 7 is 21
Step-by-step explanation:
Answer:
3x7=21
Step-by-step explanation:
7+7+7=21 or 3+3+3+3+3+3+3=21
Brainliest
What real value or values of x satisfy the equation x−2=√x
Answers
Answer:
[tex]x=1,\:x=4[/tex]
Step-by-step explanation:
[tex]x-2=\sqrt{x}\\\\(x-2)^2=x\\\\x^2-4x+4=x\\\\x^2-5x+4=0\\\\(x-1)(x-4)=0\\\\x=1,\:x=4[/tex]
x=1 and x=4 are real value or values of x satisfy the equation x−2=√x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Equation is x−2=√x
We need to find for which values of x satisfy the equation.
x−2=√x
Take square on both the sides
(x-2)²=√x²
We know the algebraic identity
(a-b)²=a²+b²-2ab
(x-2)²=√x²
x²+2²-2(2)x=x
x²+4-4x=x
x²+4-4x-x=0
x²-5x+4=0
x²-4x-x+4=0
x(x-4)-(x-4)=0
(x-1)(x-4)=0
x-1=0
x=1
x-4=0
x=4
Hence, x=1 and x=4 are real value or values of x satisfy the equation x−2=√x
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1. Tell whether the ordered pair (5,0) is the solution of the system. x + y = 5
and 3x + y = 15 *
Answers
Answer:
Yes they are.
Explanation:
x + y = 5
=
5 + 0 = 5
3x + y = 15
=
(3 × 5) + 0 = 15
The stock of Company A gained 3.5% today to $16.56 . What was the opening price of the stock in the beginning of the day?
Answers
well, the opening price was "x", which oddly enough is the 100%, however during the trading of the day the company gained 3.5%, so that'd be 100% + 3.5% = 103.5%, and we know that that is 16.56, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16.56&103.5 \end{array}\implies \cfrac{x}{16.56}=\cfrac{100}{103.5}\implies 103.5x=1656 \\\\\\ x=\cfrac{1656}{103.5}\implies x=16[/tex]
what is the factored form of 24v – 84?
Answers
Answer:
10
Step-by-step explanation:
b
Mr. Merrill has 3 times as many nickels as
dimes. The coins have a total value of $1.50.
How many of each coin does he have?
Answers
Answer:
6 dimes 18 nickels
Step-by-step explanation:
x3 and 1.50
Divide200/100 Places pleased i need the answer
Answers
Answer:
it's 2
Step-by-step explanation:
Just remove 2 zeros from 200!
and 100 x 2 = 200
write the following linear equation in slope intercept form. y-5=-2(x+3)
Answers
Answer:
y = -2x -1
Step-by-step explanation:
y-5=-2(x+3)
Distribute -2 × x and -2 × 3
y - 5 = -2x -6
y + 5 = -2x -6
y = -2x - 1
Solve log812 = x – 2. Round your answer to four decimal places.
Answers
Answer:
X = 814 rounded to 4 decimal place = 8140
Step-by-step explanation:
Hope this helped.
Answer: b
Step-by-step explanation:
woop woop more questions
Answers
Answer:
5m+4
Step-by-step explanation:
Open the bracket
i.e 5m+5-1
5m+4.
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month.
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answers
Answer:
no. A proportional relationship has a starting value of 0.
Step-by-step explanation:
The starting value of 200 means the relationship cannot be proportional. The starting value is always zero in a proportional relationship.
How much bigger is the area of a circle with a radius of 5 cm than a circle with a radius of 3 cm?
Answers
The area of a circle with a radius of 5 cm is 50.272 [tex]cm^2[/tex] bigger than a circle with a radius of 3 cm.
Given the following data:
Radius A = 5 cm.Radius B = 3 cm.How to calculate the area of a circle.Mathematically, the area of a circle is given by the formula:
[tex]Area = \pi r^2[/tex]
Where:
r is the radius of a circle.For circle A:
[tex]Area = 3.142 \times 5^2\\\\Area = 3.142 \times 25[/tex]
Area = 78.55 [tex]cm^2[/tex].
For circle A:
[tex]Area = 3.142 \times 3^2\\\\Area = 3.142 \times 9[/tex]
Area = 28.278 [tex]cm^2[/tex].
Now, we can calculate the difference:
Difference = [tex]78.55-28.278[/tex]
Difference = 50.272 [tex]cm^2[/tex].
Read more on circle here: brainly.com/question/14478195
Solve the equation ( 32
3) (33) = 36
=
X
Answers
Answer: D. -30
Step-by-step explanation: EDGE 2022 I GOT 100%
helwp please thank uuu!
Answers
Step-by-step explanation:
Given,GRAM is a parallelogram m<GMA = 66°m<GRP = 32°m<PAM = 41°Solutions:i) Since,
Angles on the same side of a transversal in a parallelogram, there sum is 180° so,
<RGM + <GMA = 180°
=> <RGM = 180° - <GMA
=> <RGM = 180° - 66°
=> <RGM = 114° (Ans)
ii) Since,
Opposite angles of a diagonal as a transversal (here RM) are equal so,
<GRP = <PMA = 32°
As we have <GMA = 66° so,
=> <GMP = <GMA - <PMA
= 66° - 32°
=> <GMP = 34° (Ans)
iii) Since,
Opposite angles of a parallelogram are equal so,
<RGM = <RAM = 114°
As we have <PAM = 41° so,
=> <GAR = <RAM - <PAM
= 114° - 41°
=> <GAR = 73° (Ans)
iv) Since,
We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,
=> <MPA = 180° - 32° - 41°
=> <MPA = 107° (Ans)
At the movies, Fred and his five friends bought some snacks. They each bought a small popcorn for $3.25. They bought 3 bags of candy to share for $2.50. 2 of the boys bought a soda for $3. Write the expression that you can use to find out how much money they spent at the movies on snacks.
Answers
3.25 • 5 + 2.50 • 3 + 2 • 3 = x
16.25 + 7.50 + 6 = x
29.75 = how much they spent all-together
Chin needs more money in his net pay each month, so he plans to reduce his federal income tax deduction from 12% to 11%. His monthly gross pay is $3,500, and his deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$420
State Income Tax
$95
Social Security
$89
Medicare
$40
What will be his new monthly net pay? Round your answer to the nearest dollar.
Answers
Answer:
Your answer would be $2,891
Hope this help :D
Step-by-step explanation:
Answer:
$2891
Step-by-step explanation:
$2821
$2857
$2860
$2891
Lebo is saving money to buy some new clothes in january she saved R131,in febuary R246 and in march R394.estime how much money she had at the beginning of April
Answers
Answer:
If R is supposed to be $ then the answer is $771 or estimated is $780
Step-by-step explanation:
131 = 130
246 = 250
394 = 400
Jeanne Williams sells welding equipment and is paid a commission of 9.5% on the first $25,000 of sales in a month and 12.4% of sales from $25,001 to $70,000 in a month. A commission of 15.1% is paid on all sales over $70,000 in a month. Her sales last month were $43,000 and $54,000 this month. What total commission earnings did Jeanne have for the two months?
Answers
Answer:$3,170 is the answer
Step-by-step explanation: