Find the coordinates of the vertex of g(x) = |x + 1| - 2.
A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)
Answer:
The vertex will be at ( -1,-2)
Step-by-step explanation:
g(x) = |x + 1| - 2.
The vertex of g(x) = |x | is ( 0,0)
y = f(x) + C C < 0 moves it down
y = f(x + C) C > 0 moves it left
We shift this to the left 1 unit and down 2 units
( 0 -1, 0-2)
The vertex will be at ( -1,-2)
Given: g(x) = |x + 1| - 2.
We start at g(x) = |x| at (0, 0)
c < 0 moves it down
y = f(x) + c
2 units down
c > 0 moves it left
y = f(x + c)
1 unit to the left
After the shift, we see the vertex being at (-1, -2).
Best of Luck!
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
Answer:
2x-9y=-51
2x-3y=-9
subtract question ii from i we get
-6y = -42
y =7
put value of y in 1
2x - 63 = -51
2x= 8
x=4
solve for v bellow. 8(z-5)=16
Answer:
z=7
Step-by-step explanation:
8(z-5)=16
Divide by 8
8/8(z-5)=16/8
z-5 = 2
Add 5 to each side
z-5+5 = 2+5
z = 7
Answer:
z = 7
Step-by-step explanation:
Expand 8 ( z - 5 ) = 16 first.
8z - 40 = 16
Move 40 to the other side.
8z = 40 + 16
8z = 56
z = 7
The purple shape is a dilation of the black shape. What is the scale factor of the dilation?
Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?
Answer:
It will take both faucets 200 minutes to fill a pool with 9,000 liters of water
Step-by-step explanation:
Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water
What we need here is to have a joint rate for both faucets;
For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;
100/5 = 20 liters per minute
For the second faucet, the per minute rate will be 100/4 = 25 liters per minute
So therefore, the joint rate will be;
25 liters per minute + 20 liters per minute = 45 liters per minute
So the time needed to fill 9,000 liters of water in a pool will be ;
9000 liters/ 45 liters per minute = 200 minutes
HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
D(3,0) is correct answer
I need a fast answer !! A bag has 7 blue marbles and 3 red marbles. What is the probability of drawing two red marbles, if the first marble is replaced after it is drawn? A. 1/7 B. 1/3 C. 3/10 D. 9/100
Answer:
Step-by-step explanation:
9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)
The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.
Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.
To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:
P(drawing two red marbles) = P(red on first draw) × P(red on second draw)
P(drawing two red marbles) = (3/10) × (3/10)
= 9/100
Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
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What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42
Answer:
-42
Explanation:
(-6)(-7) = 42
(42)(-1) = -42
Get a calculator homie.
Answer:its negative 42
How do you know if a whole number is a perfect square?
A. A whole number is a perfect square if it is divisible by 4.
B. A whole number is a perfect square if its square root is an irrational number.
C. A whole number is a perfect square if it is divisible by 2.
D. A whole number is a perfect square if its square root is a whole number.
5+1/5x=-1 plz find the answer
Answer:
X= -6/5
Step-by-step explanation:
Multiply to remove the variable from the denominator.
Hope this helps.
Answer:
Step-by-step explanation:
x/5 + 5 = -1
x/5 = -6
x= -30
The number 480 was changed to 4.8 times a
Answer:
100
Step-by-step explanation:
480/4.8=100
4.8x100=480
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.
3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.
Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.
Answer:
C. Carina should have subtracted 3.40 from 5.27
Step-by-step explanation:
I'm just smart like that
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Brianna Edwards
e d g e n u i t y things
Thanks
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The mistake that Carina made is she should have subtracted 3.40 from 5.27.
How many pounds of tomatoes was bought?The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x
In order to determine the value of x, take the following steps:
Combine similar terms: 5.27 - 3.40 = 0.85Add similar terms: 1.87 = 0.85xDivide both sides of the equation by 0.85: 2.2 poundsTo learn more about addition, please check: https://brainly.com/question/349488
Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)
Answer:
17/7 (2 3/7 or 2. 428571...)
Step-by-step explanation:
f(x) = 4x-2
Find f(5)
f(5) = 4(5)-3f(5) = 20-3f(5) = 17g(x) = -2x+1
Find g(-3)
g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7Find f(5)/g(-3)
f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)The value of f(5)/g(-3) will be 18/7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Now,
Since, The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Hence, We get;
⇒ f (5) = 4 × 5 - 2
= 20 - 2
= 18
And, g (- 3) = - 2 × - 3 + 1
⇒ g (-3) = 6 + 1
= 7
Thus, The value of f(5)/g(-3) = 18/7
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Help ASAP and explain why ?!
Answer:
A
Step-by-step explanation:
The area equal to a square that is 1 centimeter on each side.
The volume of a box 4inches wide and 2 inches high and 5 inches long is
Answer:
40
Step-by-step explanation:
4x2x5=40, the formula for volume is LxWxH=V length times width times height
Help me please!!!!!!!!!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
There are 6 black circles and 2 red circles which could be written as 6 + -2, the positive sign from will turn into a negative bc if the -2, so then it would be 6-2=4
what is a number expression that equals 68
4+5
134_75
56.4+6
68/8.7_2+1
Help me plz!!!!!!!!!!!!
I’m trying to do the math but I keep getting mixed up. I keep forgetting wether or not I should add a zero.
This is the question by the way:
1.09 x 5.4
enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n
evaluate the expression -8 + (-15)
Hey there!
ANSWER: [tex]-23[/tex]EXPLANATION:[tex]-8+(-15)[/tex]
To easily solve this, try removing the negative and add 8 + 15.
[tex]8+(15)=23[/tex]
Now add back the negative.
[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text {-TestedHyperr}[/tex]
The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.
Answer:
s = students, m = money they pay
S(M)=350
The expression that represents the amount that each student needs to fundraise is - y = [tex]$\frac{350}{x}[/tex]
We have robotics team who needs to purchase $350 of new equipment.
We have to determine the expression which represents the amount that each student needs to fundraise.
In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.Assume the amount paid by each student be x. Then -
50x = 3000
x = $60
According to the question, we have -
Assume that the number of students in the robotics team are x.
Assume that the money contributed by each member is $y.
Then, the expression represents the amount that each student needs to fundraise is -
xy = 350
y = [tex]$\frac{350}{x}[/tex]
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() + -8= -6 what is the awnser
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
HELP!!! what is the answer to this 5(2)+5(7)
Answer:
45
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
5(2) + 5(7)
Step 2: Multiply
10 + 35
Step 3: Add
45
Answer:
45
Step-by-step explanation:
Parenthesis means you would need to multiply
so
(5 x 2) + (5 x 7)
= 10 + 35
add
= 45
Find the distance between the points L(7, -1) and M(-2, 4).
Answer:
(5-5)
Step-by-step explanation:
hope this helped
Answer:Not correct
Step-by-step explanation:
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?
Answer:
The answer is 7 video games
Step-by-step explanation:
The number of video games Austin sold will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.
Let x be the number of video games sold and y be the number of video games left. Then the equations will be
y = 26 - x
y = 40 - 3x
From equations 1 and 2, then we have
26 - x = 40 - 3x
3x - x = 40 - 26
2x = 14
x = 4
The number of video games Austin sold will be 4.
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It costs $200 for 12 piano lessons . Solve for unit rate or price per one lesson . Can someone help me please ?
Answer:
it is 16 dollars
Step-by-step explanation:
if you divide 200 by 12 it is 16 aka i used my calculator
Answer:
each lesson would cost $16.70
3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%
Step-by-step explanation:
I=(pxRxt)/100
I=(1250×5.25×10)/100
I=656.25
amount to be paid is $1906.25 pls give me brainliest
Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?
its B sorry if Im wrong have a nice day
3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
Answer:
Step-by-step explanation:
x>2/3