The value of k in the function f(x) = 2x-k is 6.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) = 2x + 4
f(x) = 2x-k
Now,
To shift a linear function to the right, we subtract a constant from the input variable x. For example, f (x) = 2x + 4 shifts to the right by 2 units when it is replaced with f (x) = 2 (x - 2) + 4.
In this case, f (x) = 2x + 4 shifts six units to the right when it is replaced with f (x) = 2 (x - k) + 4. To find the value of k, we can equate the expressions inside the parentheses and solve for k:
x - k = x - 6 k = 6
Therefore, by the given functions the answer will be 6.
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The decay rate (k) is 2.2% per year = -0.022
The half life is ___ years.
Answer:
31.5 years.
Step-by-step explanation:
Half life is given by [tex]= -\frac{ln(2)}{k}[/tex]. Where we use the natural logarithm. Plugging in a value of [tex]k = -0.022[/tex] we get: 31.5 years for the half life.
One Sunday, a 44-minute call cost $2.54. On another Sunday, a 10-minute call cost $0.84. Assume that the cost in dollars of a call, y, is a linear function of the time in minutes, x. Find a linear equation that gives the cost of a Sunday call.
Assume the cost in dollars of a call, y, is a linear function of the time in minutes, the linear equation that gives the cost of a Sunday call is y = 0.05x + 0.34
How to model a linear functionThe linear equation is represented as follows:
y = mx + b
where
m = slope
b = y -intercept
Therefore,
(44, 2.54)(10, 0.84)
m = [tex]\frac{0.84-2.54}{10-44}[/tex]
m = [tex]\frac{-1.7}{-34}[/tex]
m = $0.05
Therefore,
y = cost in dollars
x = time in minutes
0.84 = 0.05(10) + b
0.84 - 0.5 = b
b = 0.34
Therefore,
y = 0.05x + 0.34
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And this please, usually I’ll tryy my best to do it without free answers but my teacher hasn’t been on for awhile so we have subs and we don’t do anything but go on Aleks I don’t understand:/
Answer:
Explaining the concept:
We have been given a piecewise function, which means that this function is defined differently for different values
notice that in the function, at the end of each row, we have an 'if' statement
if the input value satisfies the if statement, the function of that respective row will be used
Finding the Values:
h(-5):
since the input value is unequal to -2, the first function will be used (because the if statement at the end of the first function is satisfied by the input value)
h(x) = -(x/4) - (2) (since x ≠ -2)
replacing x with -5
h(-5) = -(-5/4) - 2
h(-5) = (5-8) / 4
h(-5) = -3/4
h(-2):
From the 2 if statements, we notice that this input value satisfies the second statement (x = -2)
Therefore, the second function will be used
h(x) = -1 (for x = -2)
h(-2) = -1
h(0):
This input values satisfies the first if statement.
Hence, the first function will be used
h(x) = (-x/4) - 2 (for x ≠ -2)
replacing x with 0
h(0) = (-0/4) - 2
h(0) = -2
Bernard ate part of a small pizza. He started with 11/12 of a pizza but only ate 2/3 of it. which is the best estimate of the amount Bernard ate
Answer: The answer is 1/4 because
Step-by-step explanation:
11
12
–
2
3
=
11
12
–
2 × 4
3 × 4
=
11
12
–
8
12
=
11 – 8
12
=
3
12
=
3 ÷ 3
12 ÷ 3
=
1
4
Of the vegetables Aron planted, 5/12 were carrots, 3/12 were cucumbers, and the rest were tomatoes. What fraction of the vegetables was tomatoes?
A. 1/6
B. 1/8
C. 1/3
D. 5/12
An election poll of 1,000 people indicates that 48 percent of voters favor Candidate Smith and 50 percent of voters favor Candidate Jones, with a 3 percent margin of error. What can one conclude from this poll
The election poll indicates a close race between Candidate Smith and Candidate Jones, with a margin of error of 3 percent.
Given that,
Election poll of 1,000 people conducted
48 percent of voters favor Candidate Smith
50 percent of voters favor Candidate Jones
Margin of error is 3 percent
Based on the election poll,
We can conclude that there is a close race between Candidate Smith and Candidate Jones.
With Candidate Smith at 48 percent and Candidate Jones at 50 percent, it suggests a tight competition.
However, it's important to consider the margin of error of 3 percent.
This means that the actual support for each candidate could vary within this range.
Therefore, while this poll provides valuable insights, it is not definitive and other factors should also be considered.
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Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which expression represents her new rate, in dollars per hour?
PLZZ HELPPPPPPPPPPPPPPPPPP
A- c + 0.15
B- c + 15
C- c + 0.15c
D- c +15c
Answer: Correct answer is C
-3/4(8q-12r)-3(3q-2r)
Answer:
-60q+60r/4
Step-by-step explanation:
Hope this helps
On the number line, which two numbers are a distance.20 away from the number 5
Answer:
uch hcufh hcjcjck j j k jcucydh h h jxh b j h h n b b b b j n n n n n n j h h h hcucucuchch h hxj j n h n n n j j b kcufufudydyfufudificn j h jcifif
whats the area of this
Answer:
35 cm
Multiply height times width.
Height: 7 cmWidth: 5 cm7 x 5 = 35
Therefore, the area should be 35.
What is the slope-intercept equation for the line below?
(0, 1), (4,3)
i need the angle measurements for each letter in this image
Answer:
To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.
Now we can solve this.
100+c=180.
Move the 100 over to the other side.
100-100+c=180-100
Simplify.
∠C=80°
Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.
∠E=70°
Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.
80+70+D=180
Simplify this.
150+D=180
Now we move the 150 over to the other side to get D by itself.
150-150+D=180-150
Simplify.
D=30
∠D=30°
Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.
∠A=30°
We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.
30+B=180
Now we move the 30 over to the other side.
30-30+B=180-30
Simplify.
B=150
∠B=150°
I hope this helps!
Answer:
<b=150
Step-by-step explanation:
I need help. I don’t understand any of this
Answer:
I think it’s B but I’m sorry if wrong
Step-by-step explanation:
Solette is training for a triathlon, a race in which she must swim, bike, and run. Solette does not practice all three activities each day. Instead, she swims on days 1, 4, 7, and so on. She runs on days 1, 3, 5, and so on. She bikes on days 1, 6, 11, and so on. Solette swam, ran, and biked on Day 1. What will be the next day on which she does all 3 activities?
A. Day 7
B. 30
C. 31
D. 121
Answer:
Its B
Step-by-step explanation:
Please help me!!!!!!!!!
Answer:
-2/3
Step-by-step explanation:
I think this would help u
In excercises 6 and 7, for what value of x is l || m? Which theorem or postulate justifies your answer in each case?
Answer:
For 6, the answer is, x= 65; alternate exterior angles theorem.
For 7, the answer is, x = 17; same-side interior angles postulate
Step-by-step explanation:
I don't have one sorry,
Simplify. Assume all variables are positive values
Answer:
10√(w⁵v⁷)
Step-by-step explanation:
√(20wv³) × √(5w⁴v⁴) = √(100w⁵v⁷)
reduce...
10√(w⁵v⁷)
I hope this helps, please rate!!
Answer:
[tex]10w^{2}v^{3} \sqrt{wv}[/tex]
Step-by-step explanation:
[tex]\sqrt{20wv^{3} } \sqrt{5w^{4}v^{4} } =\sqrt{(5)(4)wv(v^{2}) } \sqrt{5(w^{2})(w^{2})(v^{2})(v^{2} ) }[/tex]
[tex]=(2v\sqrt{5wv} )(w^{2}v^{2} \sqrt{5} )=2w^{2}v^{3} (5)\sqrt{wv}[/tex]
[tex]=10w^{2}v^{3} \sqrt{wv}[/tex]
Hope this helps
I need serious help on this!
Answer:
B. 3.88
Step-by-step explanation:
Point Q is 3.86 and point R is 3.92
3.88 is the only answer that is between the numbers.
Daniel,Cheryl and Li Ying earned $550 from their part time jobs. Li Ying earned $28.Daniel earned 4 times as much as the total amount of Cheryll and Li Ying's earnings. How much did Cheryl earn?
The amount Cheryl earned from the per time job is $82.
The three of them earned $550 from their part time jobs.
Li Ying earned $28.
Daniel earned 4 times as much as the total amount of Cheryl and Li Ying's earnings.
let
x = amount Cheryl earned
y = amount Daniel earned
Therefore,
y = 4(x + 28)y = 4x + 112
y - 4x = 112
The three of them earned $550. Therefore,
x + y + 28 = 550x + y = 522
Let's combine the equation.
System of equationy - 4x = 112
x + y = 522
5x = 410
x = 410 / 5
x = 82
Therefore, Cheryl earned $82.
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HELP!!
Find the equation of a line parallel to y = 4x – 4 that contains the point (-2,0). Write the equation in slope-intercept
form.
Answer:
y = 4x + 8
Step-by-step explanation:
parallel mean the same slope so you can start with an equation of:
y = 4x + b
now we solve for b by inserting the coordinates and solving for b:
0 = 4 ( -2) + b
0 = -8 + b
8 = b
now put b into the equation:
y = 4x + 8
please help (will give brainiest)
Answer:
Step-by-step explanatwe
1/3 would be a||b but if were talking plus mult then try (01ab 9)
I never learned money please help
how much is it
A) 90 Cent
B) 86 cent
C) 85 cent
D) 76 cent
Answer:
86
Step-by-step explanation:
Answer:
B) 86 cents
Step-by-step explanation:
3 quarters = 75 cents
1 dime = 10 cents
1 penny = 1 cent
75 + 10 + 1 = 86 cents in all!
7(y+6) what is the answer
Answer:
7y+ 42
Step-by-step explanation:
Answer: 7y+42 I think :^)
Step-by-step explanation:
One more: If Ashley intends to leave a 17% tip on a $47 meal, how much will her total bill be?
Answer:
Ashley will have a total bill of $54.99
Step-by-step explanation:
1. Convert percentages into fractions or decimals
For fraction: divide 17 by 100 and remove the % sign.
[tex][17][/tex]%[tex]=\frac{17}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
[tex][17][/tex]%[tex]=0.17[/tex]
2. Multiply the decimal or fraction by the quantity that equals 100%
100%=47
[tex]17/100*47=0.17*47=7.99[/tex]
So hence, 17% is $7.99 of $47
3. Add the Tip with the Cost of the Meal (will give final answer)
to make things easier -
47+7=54
54+0.99=54.99
So hence, your answer is $54.99----------------------------------------------------------------------------------------------------------
"If you see someone without a smile, give them one of yours!"
quote by - FieryAnswererGT
Thanks!
:D
Please help!!!
Question - the graphs below have the same shape. What is the equation of the blue graph.
O a. G(x) = (x-4) ^2
O b. G(x) = (x+4)^2
O c. G(x) = x^2 - 4
O d. G(x) = x^4 + 4
Answer:
hello
g ( 4 ) = 0
( x - 4)² = 0 ⇔ x = 4
Step-by-step explanation:
iii Write down the length and width of the block.
Answer length
=
width x
Length x + 5
Height 5
X = 25
Victor says that point A is closer to 0 than point B on a number line.
What are the possible locations of A and B?
A= -5, B= -2
A= -3, B= 6
A= 7, B= -5
A= 8, B= 4
Answer:
b has more closer to 0 on number line
Step-by-step explanation:
-2 is closer than-5=B wins
-3 is closer to 0 than 6=A wins
-5 is closer to 0 than 7 is=B wins
And 4 is closer to 0 than 8 so= B wins
Hope it helps have a great day:)
The nth term of a sequence is 25 - 3n
Work out the first three terms of the sequence
Work out the first negative term of the sequence
Answer:
see explanation
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into the formula
(a)= 25 - (3 × 1) = 25 - 3 = 22 = 25 - (3 × 2) = 25 - 6 = 19= 25 - (3 × 3) = 25 - 9 = 16
The first three terms are 22, 19, 16
Note the difference between consecutive terms is - 3
19 - 22 = 16 - 19 = - 3
Continuing this pattern
(b)16 - 3 = 13 13 - 3 = 10 10 - 3 = 7 7 - 3 = 4 4 - 3 = 1 1 - 3 = - 2
The first negative term is - 2
Application for the pythragron theorem.
product of 2 and the sum of 4 and x is 22
product = multiplication
so it's 2 * (x+4) = 22
* = product / multiplication
sum = addition
2 * (x+4) = 22
2x + 8 = 22
2x = 14
x = 7