how to graph f(x)=7|x -4|-1
Answers
Answer:
here I drew it digitally Hope it helps
Step-by-step explanation:
The graph of the function is a V-shaped curve.
Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.
To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:
Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.
Set the expression inside the absolute value equal to zero and solve for x to find this critical point:
|x - 4| = 0
x - 4 = 0
x = 4
So, the critical point is x = 4.
Next, consider the behavior of the function on each side of the critical point.
Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.
Let's choose x = 2:
f(2) = 7|2 - 4| - 1
f(2) = 7|-2| - 1
f(2) = 7(2) - 1
f(2) = 14 - 1
f(2) = 13
Let's choose x = 6:
f(6) = 7|6 - 4| - 1
f(6) = 7|2| - 1
f(6) = 7(2) - 1
f(6) = 14 - 1
f(6) = 13
Therefore, we have the points (2, 13) and (6, 13) on the graph.
Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.
To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).
The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).
Extend the arms of the V-shaped curve indefinitely in both directions.
Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.
Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.
The graph of the function is attached.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
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Answer:
I would say two cupsssssss
Been looking for answers all day. Please.
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Answer:88
Step-by-step explanation:
Solve the inequality 5x + 2<27 x
Answers
Answer:
5
The answer is 5
The answer is 5
Jenna made 10 cookies on blah buster day. She ate one of them her brother 0.2o f the cookies her little sister ate 1/5 of them how many cookies were left
Answers
Answer:
Jenna has 6 and 4/5 cookies left.
Step-by-step explanation:
Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.
ps. give me brainliest pls
Jazel time to check your progress. So far you have completed 816 miles which is 47% of the trail. Can you find about how many miles for the total trip?
Answers
Answer:
1,736.17miles
Step-by-step explanation:
Let the total trip be x miles
If 47% of the total trip is 816, then;
47% of x = 816
0.47x = 816
Divide both sides by 0.47
x = 816/0.47
x = 1,736.17miles
Hence the total miles for the trip is 1,736.17miles
What is 1/4 of 12????????
Answers
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3. Therefor 1/4 of 12 is 3.
Answer:
3
Step-by-step explanation:
Do 12 times .25!
Hope this helps and have a great day!
Trey travels 10 yards on his motorcycle every 4 seconds. Based on this ratio, how many seconds does it take Trey to travel 50 yards?
Answers
Answer:
20 seconds
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15
Answers
Answer:
I think 39
Step-by-step explanation:
Find the 15th term of the arithmetic sequence x+7,3x+2,5x-3
Answers
Answer:
15th term = 29x-63
Step-by-step explanation:
Based on the array, which statements accurately
compare 15 and 5? Check all that apply.
O Fifteen is twice the amount 5.
O Fifteen is triple the amount 5.
O 15+ 3 = 5
15 x 3 = 5
5 X 3 = 15
Answers
Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mistakes
Divide. Write your answer using the smallest numbers possible.
9,185 miles 380 yards divided by 4,590
Answers
9514 1404 393
Answer:
2 miles 2 yards
Step-by-step explanation:
There are 1760 yards in a mile, so you are effectively performing the division ...
(9185 380/1760) ÷ 4590
where the number in parentheses is a mixed number of miles.
You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.
9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88
Then this is divided in the usual way:
[tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]
Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.
Now, we need to convert 1/880 miles back to yards.
((1/880) mi) × (1760 yd/mi) = 2 yd
So, the quotient you seek is ...
2 miles 2 yards
What is one property ALL quadrilaterals have ?
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because in quadrilaterals quad means 4
and a quadrilaterals has four sides
that is the reason why thee answer is b
have a wonderful day
Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.
Answers
The siblings walking or running at a constant rate, illustrates a linear function.
The graph of the oldest sibling is Graph B The graph of the middle sibling is Graph CThe graph of the youngest sibling is Graph AThe complete question requires that, we match each graph to the sibling (see attachment)
Oldest sibling
[tex]Starts = 0[/tex] --- start line
[tex]Rate =7[/tex]
So, the equation is:
[tex]y = Starts + Rate \times x[/tex]
[tex]y = 0 + 7 \times x[/tex]
[tex]y = 7x[/tex]
When [tex]x = 1[/tex]
[tex]y = 7 \times 1 = 7[/tex]
This means that;
The graph of the oldest sibling passes through [tex](1,7)[/tex]
The graph of the oldest sibling is Graph B
Middle sibling
[tex]Starts = 0[/tex] --- start line
[tex]Rate = 3.5[/tex]
So, the equation is:
[tex]y = Starts + Rate \times x[/tex]
[tex]y = 0 + 3.5 \times x[/tex]
[tex]y =3.5x[/tex]
When [tex]x = 1[/tex]
[tex]y =3.5 \times 1[/tex]
This means that;
The graph of the middle sibling passes through [tex](1,3.5)[/tex]
The graph of the middle sibling is Graph C
So, we can conclude that:
The graph of the youngest sibling is Graph A
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Complete this calculation: 350g + _______ = 1 kg *
5 points
550g
650g
750g
450g
I will add you to a branlist
Answers
[tex] \text {Hello,Hope you are fine!}[/tex]
Let the required mass be x.
As we know that 1kg is equal to 1000g.
So equation can be made as following:-
350g+x=1000g
➛ x=1000g-350g
➛ x=650g
Hence your answer is 650g.
[tex] \text{Keep learning,Good luck!}[/tex]
2(1/4d)+d=96 answer is possibly 64 is that correct?
Answers
Answer:
64
Step-by-step explanation:
2x(1/4 d)+d=96 (Rewrite the expression)
2x1/4d+d=96 (Reduce the numbers)
1/2d+d=96(Calculate)
3/2d=96 (Multiply both sides)
d=64
I need help
If one edge of a triangle is 80 degrees and another is 50 degrees at what degree is the 3rd edge
Answers
Answer:
50 degrees
Step-by-step explanation:
a triangle has 180 degrees
80 plus 50 is 130 so there are just 50 degrees left over
Identify the domain and range, then evaluate each function for the given value of x.
(I do not need much help for the domain and range but mostly the "Find f(5)"
Answers
Answer:
See below
Step-by-step explanation:
Domains are the first values and range are the second values given in the brackets.
Domain = {10, - 2, 5, 3}
Range = {7, 4, 3, 10}
I the third bracket, at x = 5, y is 3.
So,
f(5) = 3
The perimeter of a certain scalene triangle is 100 inches. The side lengths
of the triangle are represented by 5x, 3x+30, and 2x+10, respectively. What
is the length, in inches, of the longest side of the triangle?
6
22
30
48
72
Answers
Answer:
Step-by-step explanation:
Perimeter =100
the lengths of the sides are 5x+3x+30x+2x+10
5x+3x+30+2x+10=100
10x=100-40
10x=60
x=6
one side is 5x=30
one side 18+30=48
one side 2x+10=12+10=22
the longest side is 48
Longest side of triangle is 48 inches
Given information:
Perimeter of triangle = 100 inches
First side of triangle = 5x
Second side of triangle = 3x + 30
Third side of triangle = 2x + 10
Find:
Length in inches and longest side of the triangle
Computation:
Perimeter of triangle = Sum of all sides
So,
5x + (3x + 30) + (2x + 10) = 100
10x + 40 = 100
10x = 60
x = 10
So,
First side of triangle = 5x = 5(6)
First side of triangle = 30 inches
Second side of triangle = 3x + 30 = 3(6) + 30
Second side of triangle = 48 inches
Third side of triangle = 2x + 10 = 2(6) + 10
Third side of triangle = 22 inches
Longest side of triangle is 48 inches
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3/4
7. Find the difference of the following fractions.
3
(a) 45-23
(b) 52-4
10 10
5 5
2
(C) 3
6 5
4
9
7
b
9
7
Answers
Answer:
Step-by-step explanation:
bhnnj
Module 1 MMA Review Activity 1. Mrs. Labuski is buying Halloween Candy for the trick or treaters. She likes to buy a mix fruit flavored candy. Since chocolate is more popular, for every three bags of fruit flavored candy, she buys 5 bags of chocolate candy, If Mrs. Labuski buys 6 more bags of chocolate than fruit flavored candy, how many bags of each did she buy? Use a tape diagram to justify your answer. she bought TRICK OP TRCATI f test. Andrew and Matt decide to
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Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
4y+5x is ur equation for your linear line
Determine the values of the unlabeled parts of the triangle.
OA) ZQ = 63.4°, PQ = 1.84, QO = 4.47
OB) ZQ = 26.6°, PQ = 2, QO = 5.12
OC) ZQ = 63.4º, PQ = 2, QO = 4.47
D)
ZQ = 63.4°, PQ = 1.84, QO = 5.12
Answers
Answer:
∠Q = 63.4º, PQ = 2, QO = 4.47
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.
Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).
90 + 26.6 + ∠Q = 180
∠Q + 116.6 = 180
∠Q = 180 - 116
∠Q = 63.4°
We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:
[tex]\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47[/tex]
please let me know if these are right or wrong!! 20 points!!
Answers
Answer: I believe they are all correct
Step-by-step explanation:
which number is composite?
5 11 9 2
Answers
Answer:
9 and 2
Step-by-step explanation:
help me i dont understand lol
Answers
I don't want to helo you cheat since it's a quiz, but just try to think literally. Look at the picture and you'll see which one makes sense. Ask each point and identify where they land.
Point D
Explanation:
Point D intersects both lines.
please help this assignment is due today
Answers
Answer:
b
Step-by-step explanation:
Answer:
A: 19/24
Step-by-step explanation:
In 2010, the government took out 6.2% of earnings for Social Security to a maximum taxable income of $106,800. For Medicare, 1.45% of earnings was paid. How much money would someone have to have earned in 2010 so that their payments into Medicare were equal to their payments into Social Security?
Answers
9514 1404 393
Answer:
$456,662
Step-by-step explanation:
The amount paid to Social Security is a maximum of ...
6.2% × $106,800 = 6,621.60
If we want an equal amount paid to Medicare, we want ...
1.45% × earnings = $6,621.60
earnings = $6,621.60/0.0145 ≈ $456,662
Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.
I GIVVEEE BRAINLILSTTT
Answers
Only do 14 please help asap 65 points
Answers
A part is the answer.
please mark me brainliest and follow me my friend.
I GIVEEE BRAINLILSTT
Answers
Answer: F’(-1,-3), G’(-1,-2), H’(1,-2)
Step-by-step explanation:
Hope this helps ;)
Answer:
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Step-by-step explanation:
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