For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
Answers
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.
Related Questions
If you guys know how to do this lemme know, thanks :))
Answers
Answer:
A 65
Step-by-step explanation:
x = -5
y = -8
-5 - 5 (-8)^2 / -5 = -325 / -5
= 65
Answer:
65
Step-by-step explanation:
So, this expression is asking us to solve an equation when x = -5 and y = -8.
When asked to solve problems like this, all we have to do is plug in the numbers accordingly
[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]
Now, we can simplify using PEMDAS
[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]
Please correct me if i'm wrong :)
The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?
Answers
Answer:
11 minutes
Step-by-step explanation:
45% of 20 can be found by multiplying 20 and 0.45
which equals 9
so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes
The average delay in the current year is 11 minutes.
Given that, last year, a particular airline had an average flight delay of 20 minutes.
This year the airline has an average that is 45% shorter.
We need to find what is the current year's average.
What is average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Now, 45% of 20=45/100×20=9
So,20-9=11
Hence, the average delay in the current year is 11 minutes.
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Since it was 7 years ago, Mr. Ly's age was 28 years old.
Can someone please tell me what is his age at present (In now)?
Answers
Answer:
28+7=35. 35 is your answer.
Answer:
35
Step-by-step explanation:
35 because 7+28 is 35 7
28
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answers
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
Make x the subject of the formula x + t = q
Answers
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29
You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?
Answers
Answer:
105-15x=30
5 days
You can spend the amount of $15 a day for 5 days if you have $105 to take with you.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.
Let the number of days would be x
According to the given information, the required solution would be as
105 - 15x = 30
The above explicit formula represents the given scenario.
105 - 15x = 30
Rearrange the terms in the above equation,
15x = 105 - 30
Apply the subtraction operation,
15x = 75
x = 75/5
Apply the division operation,
x = 5
Therefore, you can spend the amount of $15 a day for 5 days.
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Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.
A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).
Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Answers
Answer:
Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
Answers
The result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]
Given the following expressions
[tex]log_am=10\\log_an=25[/tex]
This can be expressed as
[tex]m =a^{10} \ and \ n = a^{25}[/tex]
Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:
[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]
This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
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help me
[tex] \: [/tex]
if mCE =100° ,mCA =110° and CR is a diameter find
mAR
mER
ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]
Answers
Step-by-step explanation:
#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°PLEASE HELPP!! What is the slope and Y intercept of this equation?
Answers
Answer:
The slope is 10
The y - intercept is 20
Step-by-step explanation:
The equations are written as:
y = ?x + ?
The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10
The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept
Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]
Answers
Answer:
x = 1
Step-by-step explanation:
[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )
4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides
12x - 12 = 10x - 10 ( subtract 10x from both sides )
2x - 12 = - 10 ( add 12 to both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Someone plz help me I’m begging
Answers
Answer:
answer is D
pls I don't confirm sorry
Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period
Answers
Answer:
$1717.80
Step-by-step explanation:
We are given one clue: He pays $572.60 each year to cover everyone and his family.
We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.
572.60 x 3 = Total cost to pay after 3 years.
=> $1717.80 = Total cost to pay after 3 years.
We can conclude that Phil will have to pay $1717.80 after 3 years.
choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent
Answers
Answer:
C. inconsistent
Step-by-step explanation:
3x - y = 5 6x = 2y + 5 Solve for y
3x - 5 = y 6x - 5 = 2y
3x - 5 = y [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]
3x - 5 = y 3x - 2.5 = y
Slope = 3 Slope = 3 Same slope
y-intercept: -5 y-intercept: 2.5 Different intercepts
not solution set
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have? I have to use either the strategy of elimination or substitution to solve this. I realize that the first equation is m + d = 132. But I don’t get what the second equation should be!
Answers
Answer:
D+M=132?
Sorry if this is not helpful. I tried my best
When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.
Answers
The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.
-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2
-If 121 is the output, what was the input?
Answers
Answer:
Step-by-step explanation:
PLSSS HELP
Order the numbers from least to greatest
Answers
Answer:
It is the Last answer D
Step-by-step explanation:
because 15/2 is equal to 7 1/2
the square room of 64 is 8
and 8.1444444 is less than 8 1/7
um I need help with thissss
Answers
Answer:
its you again
Step-by-step explanation:
if they have the same amount of dashes on the same sided they are congruent
does that answer your question
if they have the same amount of dashes on the same sided they are congruent
Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.
Answers
Answer:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Step-by-step explanation:
V^2=u^2 + 2as rearrange to s subject
Answers
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?
Answers
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
[tex]x_1=3[/tex]
[tex]y_1[/tex]=4
Now substitute those values as the variables that they represent into the equation:
[tex]y-y_1=m(x-x_1)[/tex]
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!
3-(1/3) to the fourth power
Answers
Answer:
i dint know about you but i got 2.98765432099
Step-by-step explanation:
im not sure if in right though
If any doubt please comment what you need clarification on.
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the answer is abffj uynjy uymn mhk um
Answers
Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp
Which one is a function?
Answers
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
what is (−
2
1
)
5
Answers
Step-by-step explanation:
i don't understand your question
750[tex]\geq[/tex](12+x)(24+x)
Answers
Answer:
Step-by-step explanation:
Write the slope-intercept form of the equation
Answers
Answer:
y= [tex]\frac{1}{3}[/tex]x-1
Step-by-step explanation:
Slope intercept form= y=mx+b
m=slope
b=y-intercept
b=-1
m= [tex]\frac{1}{3}[/tex]
y= [tex]\frac{1}{3}[/tex]x-1
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
Answers
The equation that is used to represent (s) the total sales is s = (w - rh)/c
An equations is used to show the relationship between two or more variables.
Given the equation:
cs + rh = w
To solve for s, we have to make s the subject of the equation:
cs + rh = w
subtract rh from both sides:
cs + rh - rh = w - rh
cs = w - rh
Divide both sides by c:
cs/c = (w - rh)/c
s = (w - rh)/c
The equation that is used to represent (s) the total sales is s = (w - rh)/c
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!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations
Answers
Answer:
20= 20
21. 10
22. 1.8
23. 4.4
24. 32
25. 7/9
If a=6, b=12,and c=4, then what does 2ab-c^2 equal?
Answer: 2(6)(12)-4^2 = 128
What is the prime factorization of 100,000?
Answer: 2^5× 5^5
Solve for x. 5.8 = 4x+0.2
Answer: x= 1.4
Find the area of this shape.
Answer: Area = 1.21
What is the lateral surface area of this rectangular prism?
Answer: 208 in^2
5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3
Step-by-step explanation:
The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.
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5.8-0.2=4+0.2−0.2
5.6 = 4x
5.6/4 = 4x/4
x= 1.4
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Square sides are equal..
A=a^2=1.1^2≈1.21
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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.
When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.
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