Give the vertex of each function or inequality
f(x)=|x-1|-1
Answers
Answer:
(1,-1)
Step-by-step explanation:
The vertex is the minimum point (in this case). That happens when x - 1 = 0. The reason for that is because the absolute value is going to added to minus 1. The absolute value is always plus.
x - 1 = 0
x - 1+1 = 0 + 1
x = 1
So the minimum point is going to be (1,-1)
Here's a graph to help you along.
Related Questions
Find the slope of 1,3 and 1,-2
Answers
Answer:
M=0
Step-by-step explanation:
i did math
for the function F (X) = (x - 2)^2 + 4, identify the vertex.
A) the vertex is (-2, 4)
B) the vertex is (-4, 2)
C) the vertex is (4,2)
D) the vertex is (2,4)
Answers
Answer:
The answer will be D. (2,4)
Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answers
Given:
The equation of line is
[tex]7x-5=4y-6[/tex]
To find:
The x and y-intercept of the given line.
Solution:
We have,
[tex]7x-5=4y-6[/tex]
Putting x=0, we get
[tex]7(0)-5=4y-6[/tex]
Add 6 on both sides.
[tex]0-5+6=4y[/tex]
[tex]1=4y[/tex]
Divide both sides by 4.
[tex]\dfrac{1}{4}=y[/tex]
So, the y-intercept is [tex]\left(0,\dfrac{1}{4}\right)[/tex].
Putting y=0 in given equation, we get
[tex]7x-5=4(0)-6[/tex]
Add 5 on both sides.
[tex]7x=-6+5[/tex]
[tex]7x=-1[/tex]
Divide both sides by 7.
[tex]x=\dfrac{-1}{7}[/tex]
So, the x-intercept is [tex]\left(-\dfrac{1}{7},0\right)[/tex].
Answer:
x intercept: (-1/7 , 0)
y intercept: (0, 1/4)
Step-by-step explanation:
What is 347,200,000 in scientific notation
Answers
Answer:3.472*10^8
Step-by-step explanation:
Answer: 3.472 × 10 8 squared. ( 8 is in place of 2 when it comes to 2 squared!)
HOPE THIS HELPED, IF NOT SORRY!!
Answer two questions about systems A and B
Answers
Step-by-step explanation:
I dont see any questions
Can you send a picture to see if I can help
(-3,7) and (0,-2) find the slope
Show steps please
Answers
Step-by-step explanation:
-2 - 7 = -9
0 - (-3) = 3
y = -9x + 3
Josiah's family took a road trip to Mount Rushmore. Josiah fell asleep after they had travelled 174 miles. If the total length of the trip was 600 miles, what percentage of the total trip had they travelled when Josiah fell asleep?
Answers
Answer:
29
Step-by-step explanation:
your welcome
pls help i will give u brainliest!
Answers
Explanation:
For number one you could use the slope formula y2-y1/x2-x1, or you could simply just view it from the table that every second that’s passes the distance goes up another 75 meters. This means it would be 75 meters per second.
For the second one it’s a positive correlation that’s related meaning at every whole second (1,2,3...) the line will pass through it, so all you have to do is look at the left and see how much it’s going up by because we know it’s going up by the same amount each time.
What is this? Solve for x: 3(x + 1) = −2(x − 1) + 6.
Answers
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
STEP 1: Simplify 3(x+1).
[tex]3x+3=-2(x-1)+6[/tex]
STEP 2: Simplify −2(x−1)+6.
[tex]3x+3=-2x+8[/tex]
STEP 3: Move all terms containing x to the left side of the equation.
[tex]5x+3=8[/tex]
STEP 4: Move all terms not containing x to the right side of the equation.
[tex]5x=5[/tex]
STEP 5: Divide each term by 5 and simplify.
[tex]x=1[/tex]
A local school sold 230 tickets for their performance of Hamlet. They sold a combination of regular tickets and student tickets. The regular tickets sold for $8 each and the student tickets sold for $5. That night they collected $1522 in ticket sales. Write an equation that describes each piece of information. Let "R" represent the number of regular tickets and "S" represent the number of Student tickets. (Hint: Create a system of equations.)
Answers
Answer:
R+S=230-------------1
8R+5S=1522--------2
Step-by-step explanation:
Step one:
given data
let regular be R
and Students be S
total tickets =230
cost of regular = $8 each
cost of students tickets = $5 each
total cost of the both tickets = $1522
Required
The systems of equations
1. for the total number of tickets
R+S=230-------------1
2. For the total cost
8R+5S=1522--------2
Hence the systems of equation for the situation is
R+S=230-------------1
8R+5S=1522--------2
Could u guys help me plz?
Answers
9514 1404 393
Answer:
84.7 units²118.125 in³Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
__
The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
please help .. write an exponential growth function, and then describe a real-world situation that the function could represent. do the same for an exponential decay function. share your
functions and the situations they represent.
exponential growth rate (equation) :
what real-world situation could your function represent :
exponential decay function (equation) :
what real-world situation could your function represent :
Answers
Answer:
Exponential functions are often used to represent real-world applications, such as bacterial growth/decay, population growth/decline, and compound interest
Answer:
Ben has an ant farm of 500 and unfortunately, a virus has broken out the population of ants decreased by 35% each day.
Step-by-step explanation:
What's the reciprocal of -2?
Answers
Answer:
-1/2
Step-by-step explanation:
Ashley's older brother, Jamaal, is planning to ride his bicycle from Los Angeles to Washington D.C., a distance of 2,668 miles, in two months. Jamaal has decided that he will ride for three days and then rest on the fourth day. If he maintains this plan, and rides on 45 of the 60 days, what is the minimum number of miles that Jamaal must ride each day with his new plan?
Answers
Answer:
60 miles
Step-by-step explanation:
This means the number of days he will ride is
45 days
Hence, the minimum number of miles that Jamaal must ride each day with his new plan is calculated as:
Total number of miles/Number of days
= 2668 miles /45 days
= 59.288888889 miles
Approximately to the nearest whole number = 60 miles
Hence, the minimum number of miles Jamal must ride each day is 60 miles
What appears to be the range of the part of the function shown on the grid?
Answers
Answer:
(-5,2)
Step-by-step explanation:
Answer:
x ≥ −5
Step-by-step explanation:
I'm pretty sure this is the answer.
if it isn't, I'm sorry for disappointing you.
The graph shows the function f(x) = 2^x
What is the value of x when f(x) = 4?
O A. 2
O B. 3
O C. 1
O D.O
Answers
Answer:
2
Step-by-step explanation:
The teachers need to buy eggs and plastic spoons for the egg race event. The teachers want to have 1 egg for every spoon. The eggs are sold in packs of 6 , and the spoons are sold in packs of 10 . If the teachers want to buy exactly 30 spoons and have no leftovers, they need to buy
Answers
Answer:
5 packs of eggs
3 packs of spoons
Step-by-step explanation:
Eggs are sold in packs of 6
Spoons are sold in packs of 10
The teachers want to have 1 egg for every spoon
Find the Lowest common multiple of 6 and 10
6 = 12, 18, 24, 30, 36, 42, 48, 54, 60
10 = 20, 30, 40, 50, 60
The lowest common multiple of 6 and 10 is 30
If the teachers want to buy exactly 30 spoons and have no leftovers
Eggs are sold in packs of 6
Number of packs needed = 30 /6
= 5 packs
Spoons are sold in packs of 10
Number of packs needed = 30/10
= 3 packs
The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers
John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not?
Answers
Answer:
10%
Step-by-step explanation:
Answer: John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.
Step-by-step explanation:
please help asap !!!!
Answers
Simplify 4 x [2 +1 (47 - 5) : 7]
Answers
Answer:
32x
Step-by-step explanation:
--Multiply--
--Divide--
--Add--
--Multiply--
Which of the equations below represents a line perpendicular to the yaxis?
A. y= x
B. y= 6x
C. x = 6
D. y=-6
Answers
Answer:
y=x
Step-by-step explanation:
Answer:
D. y = -6
Step-by-step explanation:
You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.
Does the data for oliva's pup show a function? Why or why not
Answers
Answer:
Yes, it does show a function because for every input(weeks), there is one output(weight).
Step-by-step explanation:
A function is something that takes in an input and gives you one output.
Based off the data, there is only one output for each input; therefore, the data is a function.
DIRECTIONS: Enter your answer as an ordered pair: (? , ?)
What is the x-intercept of the line 7x - 4y = 28
Answers
Answer:
(0, 4 )
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x, that is
7x - 4(0) = 28, that is
7x = 28 ( divide both sides by 7 )
x = 4 ← x- intercept ⇒ (0, 4 ) as an ordered pair
1. (x + 2) < −3(x + 4)
2. −3x + 3 < 6
Answers
number 1:
[tex]x>\frac{-7}{2}[/tex]
number 2:
[tex]x>-1[/tex]
Can anyone help me with this?
Answers
Step-by-step explanation:
for a it's y=12x+60
for b it's y=1x+21
for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.
for d it would be y=20x+20
it would be ethier a or d
Vince is married with 5 withholding, he earns $4,200. Find weekly withholding.
Answers
. Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students.
Select all statements that are true about the situation.
If 12 cars go, then 2 vans are needed.
c=14 and v=4 are a pair of solutions to the equation.
If 6 cars go and 11 vans go, there will be extra space.
10 cars and 8 vans isn’t enough to transport all the students.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.
Answers
Answer:
3v +2c=32 students
Step-by-step explanation:
Answer:ALL OF THESE ARE TRUE
c=14 and v=4 are a pair of solutions to the equation.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.
Step-by-step explanation:
1. If 12 cars go, then 2 vans are needed.(4)(12)+(6)(2) = 80
60≠80
False2.c=14 and v=4 are a pair of solutions to the equation.(4)(14)+(6)(4) = 80
80=80
True
3.If 6 cars go and 11 vans go, there will be extra space.(4)(6)+(6)(11) = 80
90≠80
False
4. 10 cars and 8 vans isn’t enough to transport all the students.(4)(10)+(6)(8) = 80
88≠80
False and is wrong because it would leave extra space
5. If 20 cars go, no vans are needed.(4)(20)+(6)(0) = 80
80=80
True
6. 8 vans and 8 cars are numbers that meet the constraints in this situation.(4)(8)+(6)(8) = 80
80=80
True
Which expression is equivalent to 5^10 times 5^5?
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Awnser D is already ruled out
Answers
I believe the answer is A
this is 3 question help please
Answers
11 should be D
13 should be A
I NEED help pls i will give branliest sry don’t kn how to spell it :p
Answers
Answer: 58°.
Step-by-step explanation: From what is given, we see that the other three angles are 122°, 90°, and 90°. Since we know that the sum of the interior angles of a quadrilateral adds up to 360°, we just add up 122, 90, and 90 and subtract the sum from 360°. 122 + 90 + 90 = 302. 360 - 302 = 58. Thus, the answer is 58°.