Answer:
D.
y = 4(x − 3)^2 + 2
Step-by-step explanation:
A. y = 4(x + 3)^2 + 2 = ( − 3 , 2 )
B. y = (x + 3)^2 + 2 = ( − 3 , 2 )
C. y = 19(x − 2)^2 + 3 = ( 2 , 3 )
D. y = 4(x − 3)^2 + 2 = ( 3 , 2 )
F(x) = x - 3√×
graph this function
Find the value of x. Show all work.
(7x + 6)°
(6x - 7)º
Answer:
42x-42
Step-by-step explanation:
(7x)(6x)+(6)(-7)=42x°-42°
1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)
2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)
9514 1404 393
Answer:
12 m3 hoursStep-by-step explanation:
1.The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...
(change in distance)/(15 s) = -4/5 m/s
change in distance = (-4/5 m/s)(15 s) = -12 m
The ride descended 12 meters in the time indicated on the graph.
__
2.Again, the slope is "rise"/"run".
65 mi/h = (318 mi -123 mi)/(travel time)
travel time = (195 mi)/(65 mi/h) = 3 h
The car took 3 hours to get from 123 miles to 318 miles.
Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book
Answer:
1.A
2.B
3.C
4.B
5.B
6.B
7.C
8.C
9.C
10.A
It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.
What is a History museum?Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.
In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.
Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to check in at the airport two hours before the plane leaves.
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Help me answer 1b, thank you!
Answer:
Step-by-step explanation:
Domain: the values that the x cannot be (in this case, the values that make the denominator equal to 0)
x²-5x+6=0
(x-2)(x-3)=0
x≠ 2, 3
in interval notation: (-∞,2)∪(2,3)∪(3,∞)
We just determined that x≠2 or 3 which means that the vertical aysmptotes are
x= 2,3
To find the holes graph both the numerator and denominator then see if anything cancels
2x²+x= x(2x+1)
x²-5x+6= (x-2)(x-3)
because nothing more to do here there are no holes
Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.
-17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
Infinite.
Step-by-step explanation:
[tex]-17+2(1+3x)=x-5(3-x)[/tex]
Expand:
[tex]-17+2+6x=x-15+5x[/tex]
[tex]6x+15=6x+15[/tex]
[tex]6x=6x[/tex]
[tex]0=0[/tex]
Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.
/////////////////////////
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answer: it takes 1/5 revolutions per foot and the slope is 5
Step-by-step explanation:
4/5a - 8 = a + 2 solve for a
Answer:
a=-50
Step-by-step explanation:
Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.
Answer:
Step-by-step explanation:
30,000 /10,000= 3 months
translate the graph of f(x) ___ 3 units
the point ___ is on the graph of g(x)
Answer:
Down 3 unitsStep-by-step explanation:
Given functions:
f(x) = ∛x and g(x) = ∛x - 3The g(x) is a translation of f(x) down 3 units, as g(x) = f(x) + b is a vertical shift b units (up if b > 0, down if b < 0)
The second part of question is unclear as drop down is not visible to us
Please help me and give explanation on how you got your answer if not that’s fine
Can u tell answers of all the given questions? Plz
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
Please help me with this question
Answer:
M: (-2,6)
M': (-2,-6)
X coordinate
A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?
Answer:
D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.
Step-by-step explanation:
8/1 is proportional to 144/18
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
Given that, a candle factory makes colored candles to sell in packages.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
A) Does not a represents a proportional relationship
B) Does not a represents a proportional relationship
C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.
Here, the number of packages increases, the cost also increases. So, it is direct proportion.
D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.
Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
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Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $37.27
what is the amount of the tip is approximately
The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.
Answer:
x=9.5 and y=5.5
Step-by-step explanation:
x+y=15
x-y=4
add
2x=19
x=9.5
y=15-9.5
y=5.5
x=9.5 and y=5.5
Leah is making cookies for her birthday party she wants to double the recipe and uses 1cup of sugar and 3 1/2 cups of flour.how many cups of sugar and flower does the original recipe call for.
Divide everything by half
Since she doubled the recipes, divide all by half.
1 cup of sugar / 2 = 1/2 cup of sugar
3 1/2 cups of flour / 2 = 7/2/2 cups of flour = 7/4 cups of flour or 1 3/4 cups of flour.
Answer:
Sugar: 1/2 Flour: 1 3/4
Step-by-step explanation:
1 cup of sugar
3 1/2 cups of flour
Since the recipe is doubled you'll divide the ingredients by 2.
Sugar: 1÷2=1/2
Flour: 3 1/2÷2=7/4
=1 3/4
Hope this helps :)
4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Kyle failed to make his payment by the first of this month. Kyle’s monthly payment is currently $1,200. If Kyle decides to split the missing payment into two parts and pay it over the next two months, which of the following statements is false?
a.
Kyle will be reported to a credit agency.
b.
Kyle will be charged a $75 late fee for the missing payment.
c.
Kyle has one business week to inform his bank of the late payment.
d.
Kyle’s monthly payments for the next two months will remain $1,200.
-5x+35=40
what are the steps?
Answer:
Step-by-step explanation:
-5x + 35 = 40
Subract 35 from both sides -5x + 35 - 35 = 40 - 35 = (-5x = 5)
Divide -5 from both sides -5x / -5 = 5 / -5 =
x = -1
Answer:
x= -1
Step-by-step explanation:
First subtract 35 from both sides to get -5x by itself:
-5x+35=40
-35 -35
-5x=5
Then divide by -5:
[tex]\frac{-5x}{-5}[/tex] = [tex]\frac{5}{-5}[/tex]
x=-1
Hope this helps! :)
There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many
Answer:
18 student gave there speech yesterday
36 students gave there speech today
Step-by-step explanation:
54 total
54 * 1/3 = 18 student gave there speech yesterday
54*2/3 = 36 students gave there speech today
Hope this helps!
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Thanks!
what is 2x-4y=12 x-3y=17
Answer:
x=-16
y=-11
Explanation:
2x-4y=12
x-3y=17
first multiply all the numbers of the bottom equation by -2
2x-4y=12
-2x+6y=-34
then cancel the x's, and add the other numbers
2y=-22
solve for y
y=-11
plug y into either the original top or bottom equations
2x-4(-11)=12
2x+44=12
2x=-32
x=-16
or
x-3(-11)=17
x+33=17
x=-16
Please take a look at the picture.
Answer:
[tex]1 \frac{1}{12} [/tex]Step-by-step explanation:
Question:To find the value of b.Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]
[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]
As when -7/4 goes on the other side becomes +7/4[tex] = > b = \frac{ - 8 + 21}{12} [/tex]
Simplification[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]
(Ans)A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation. Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Answer:
Step-by-step explanation:
let x be the number of ADDITIONAL throws
(12 + x) / (15 + x) = 0.85
12 + x = 0.85(15 + x)
12 + x = 12.75 + 0.85x
0.15x = 0.75
x = 5 more successful consecutive throws. or 17 out of 20
A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.
Answer:
3.75 lt or 3750 mlts
Step-by-step explanation:
The graph of a linear function has a negative slope. Describe the end behavior of this function.
As the value of x increases, the value of y [ A. decreases , B. increases ].
As the value of x decreases, the value of y [ A. decreases , B. increases ].
Answer:
1. A
2. B
Step-by-step explanation:
It would look like y = -m(x) + b.
For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
As you can see from the example,
If the value of x increases, the value of y will decrease and vice versa
For the negative slope equation y = -x as the value of x increases y decreases.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.
It would look like y = -m(x) + b.
As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
Therefore, for the negative slope equation y = -x as the value of x increases y decreases.
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