Answer:
Hi there!
The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).
The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.
y=a(x-4)^2-4
We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.
0=a(6-4)^2-4
0=a(2)^2-4
4=4a
a=4/4
a=1
Therefore the equation is y=(x-4)^2-4
Hope this helps!
Step-by-step explanation:
what the value of 6(2b-4} when b=5
Answer:
[tex]6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you[/tex]
Answer:
6(2b-4) when b = 5 is 36
Step-by-step explanation:
[tex]6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\[/tex]
A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?
The domain of a function is the set of possible input value, the function can take.
The domain is [0,10]
The given parameters are:
[tex]Flat\ Fee = 15.25[/tex]
[tex]Rate = 3.45[/tex]
So, the function f(x) is:
[tex]f(x) = Flat\ Fee + Rate \times x[/tex]
[tex]f(x) = 15.25 + 3.45 \times x[/tex]
[tex]f(x) = 15.25 + 3.45x[/tex]
Because x represents the number of orders, the value of x cannot be negative.
The teacher budgets $49.75.
This means that: f(x) = 49.75
So, we have:
[tex]49.75 = 15.25 + 3.45x[/tex]
Collect like terms
[tex]49.75 - 15.25 = 3.45x[/tex]
[tex]34.5 = 3.45x[/tex]
Divide both sides by 3.45
[tex]10 = x[/tex]
Rewrite as
[tex]x = 10[/tex]
Hence, the domain is [0,10]
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Express 2700 as a product of prime numbers or find the prime factorization of 2700 leaving
your answer in index form or notation
Solve:
e + 13.2 = 289.47
Answer:
Evaluate.
15.91828182 = 289.47
What is the value of f(x) = 5x +1 at f(-4) ?
could someone please help answer this, thank you, please no spam, will give brainliest, (homework help)!
Answer:
The answer would be W < - 18
What is the slope of the line in the graph? slope =
Is the slope 1/1 or 1
Or do I put both?
Answer:
The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.
Step-by-step explanation:
I need help with factoring trinomals.
Please explain how you got the answer.
9514 1404 393
Answer:
(x +6)(3x +4)
Step-by-step explanation:
The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.
72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9
Sums of these factor pairs are 73, 38, 27, 22, 18, 17.
Now, you can rewrite the expression splitting the middle term into two parts:
3x² +4x +18x +24
x(3x +4) +6(3x +4) . . . . . . factor by grouping
(x +6)(3x +4) . . . . . . . . . . your factored form
_____
Additional comment
I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.
One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:
(3x +4)(3x +18)/3 = (3x +4)(x +6).
In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.
[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]
Use midterm splitation[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]
Take 3x and 4 common[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]
Simplify[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]
Done!
tom asks at an average speed of 80km per hour for 3 hours and 45 minutes. work out how many kilometers Tim drives.
Answer: 300km
Step-by-step explanation:
The question is how long will he go in 3 hours and 45 minutes.
3 hours and 45 minutes is equal to 3.75 house 45/60=3/4 75/100=3/4
So multiply 3.75 by 80 for 300
Hope this helps!
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Tina babysits children in her neighborhood. When Tina is asked her rate, she tells her neighbors that she charges $15 for the first hour and $8 for each hour after. If Tina's neighbor asks Tina to babysits for 4 hours, how much will Tina earn? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair.
The amount charged is an illustration of a linear equation.
Tina charges $39 for 4 hours
The given parameters are:
[tex]Base = 15[/tex] --- amount charged for the first hour
[tex]Rate = 8[/tex] --- amount charged for the extra hours
If Tina babysits for 4 hours, it means that:
She will charge $15 for the first hour$8 for the extra 3 hoursSo, the total charges is:
[tex]Total = 15 + 3 \times 8[/tex]
[tex]Total = 15 + 24[/tex]
[tex]Total = 39[/tex]
The ordered pair is (4,39)
It means that:
She charges $39 for 4 hours
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help please and show working
Answer:
27/4 or 6 3/4
Step-by-step explanation:
Change all mixed numbers into improper fractions
2 1/9 = 19/9
6 1/4 = 25/4
19/9 ÷ 2/3 - 25/4 x 2/5
dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)
19/9 x 3/2 - 25/4 x 2/5
you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below
19/3 x 1/2 - 5/4 x 2/1
multiply across the fractions first PEMDAS, then subtract
19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)
57/12 - 30/12 = 27/12
1/5 x 1/3 + 2/5 x 2/3
1/15 + 4/15 = 5/15 or 1/3
27/12 / 1/3
you can multiply the fractions and flip the top and bottom numbers of 1/3
27/12 x 3/1
reduce 12 and 3
27/4 x 1/1 = 27/4 or 6 3/4
The price of an item yesterday was $130. Today, the price rose to $299. Find the percentage increase.
Answer:
130%
Step-by-step explanation:
Use the formula for percent change: difference = % * original price
To find the difference, you have to do 299 - 130, which is 169.
The original price is $130 because this is the price before it rose to $299.
Now, you have the equation 169 = % * 130.
We don’t know the percentage right? No, so we have to find the percentage by dividing 169 by 130, which gives you 1.3. Lastly turn 1.3 into a percentage by multiplying 1.3 by 100, and 1.3 as a percentage is 130%. So therefore, the percent increase is 130%.
130%
Step-by-step explanation:
Yesterday = $130.
Today = $299 .
((final price - initial price)/(initial price)) × 100%
= (($299 - $130)/$130) × 100%
= ($169/$130) × 100%
= $1,3 × 100%
= 1,3 × 100%
= 130%
Write a number that has a 6 in the thousandths place, a 5 in the hundredths place, and a 0 in the tenths place. Then write a number less than your number and greater than your number
Answer:
i am not sure bi it may be 2
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
A. 16 years old
B. 15 years old
C. 17 years old
D. 20 years old
Answer:
C.17 years old
Step-by-step explanation:
consecutive means that they come after each other
17+16+15=48
5/11 as a ratio 4 decimal places
Write the equation of the line that passes through the points (9,3)(9,3) and (-7,-7)
Answer:
y=5/8x-21/8
Step-by-step explanation:
Write Your Own Problem
Answer:
Step-by-step explanation:
You could find the mean, median or range of the numbers?
Can someone pls help me out
Answer:
option a. similar;AA similarity; triangle plm
Is (2,3), a solution to the system of equation x2 + y2 = 13 and 2x - y=4?
True
False
What equation do you use to find the slope of a line? I believe it is y=mx+b but I forgot.....
Which of the statements about the graph below is true the first answer
Answer:
yes the first answer hope you get it right
Solve for x not y please I am stuck
Answer:
x=2, x=1
Step-by-step explanation:
let's solve :
[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]let's take
[tex]2 {}^{2x} = y[/tex]
now,
[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex][tex]y {}^{2} - 20y + 64 = 0[/tex][tex]y {}^{2} - 16y - 4y + 64 = 0[/tex][tex]y(y - 16) - 4( - 16) = 0[/tex][tex](y - 16) (y - 4) = 0[/tex][tex]y = 16 \: \: or \: \: y = 4[/tex]if y = 16, then :
[tex]2 {}^{2x} = 16[/tex][tex] {2}^{2x} = 2 {}^{4} [/tex][tex]2x = 4[/tex][tex]x = 2[/tex]and if y = 4 :
[tex] {2}^{2x} = 4[/tex][tex] {2}^{2x} = {2}^{2} [/tex][tex]2x = 2[/tex][tex]x = 1[/texhence, value of x = 1 or x = 2
I need help please there are three more questions after that and they are 7/10+2/5+3/4
NUMBER 2: 3/4+7/8+5/6 NUMBER 3: 3/5+7/8+3/10
Answer:
1. 19/21 which is closest to 1
2. 1 hour , 1 hour , 2 hours
3. 19/21
4. 11/15
5. second statement is correct ( should be
closer to 1/2)
6. 7/10+2/5+3/4= 37/20
7. 3/4 +7/8+5/6= 59/20
8. 3/5 + 7/8+3/10= 71/40
Question today susan has 12.6 m ribbon to make flowers if she has to make 4 flowers,how ribbon would use to make 4 flowers
Step-by-step explanation:
3.15m or 3 3/20m
She has a total of 12.6m of ribbbon.
She has to make 4 flowers and each has ribbon.
You take 12.6÷4
Answer:
she would use 3.15 meters on each flower because when you divide 12.6 meters by 4 it equals 3.15 meters.
5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi
Answer:
(0,2),(1,6),(−2,−6) are solutions
The problem 72➗12 will have a quotient greater than the problem 7.2➗12.true or false HELLLLLP QUICK
A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80 for her purchase, what was the originally marked price for her item (or items) in dollars?
A. 780
B. 1284.50
C. 701.60
D. 1089.00
Answer:
780
Step-by-step explanation:
A cartoon of staples has 50 packages. The carton contains 25,000 staples in all. Each package has an equal number of staples. How many staples are in each package? Explain how to use a basic fact to find the answer.
A 9-inch candle burns down in 12 hours. After how many hours will it have burned
3 3/8 inches?
Answer:
4.5
Step-by-step explanation:
Use a proportion.
3 3/8 = 3.375
9 inch is to 12 hours as 3.75 inches is to x hours.
9/12 = 3.375/x
3/4 = 3.375/x
3x = 4 * 3.375
x = 4 * 1.125
x = 4.5
Answer: 4.5 hours
Using rate if a 9-inch candle burns down in 12 hours, the amount of hours it have burned 3 ³/₈ inches is 4 ¹/₂ h
What is a rate?Rate is the amount per unit time of a substance
Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.
.
First, we calculate the rate at which it burns which is given as r = Length of candle/time
Since
Length of candle = 9 in andtime = 12 hoursSubstituting the values of the variables into the equation, we have that
r = Length of candle/time
r = 9 in/12 h
r = 3/4 in/h
To determine how many hours it would have burned 3 ³/₈ in, we have that
rate, r = Length/time
time = Length/rate
Since
Length = 3 ³/₈ in = 27/8 in andrate = 3/4 in/hSubstituting the values of the variables into the equation, we have that
time = Length/rate
= 27 in/8 ÷ 3/4 in/h
= 27/8 in × 4/3 h/in
= 9/2 h
= 4 ¹/₂ h
So, it will have burned for 4 ¹/₂ h
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Pleaseee Help me plzz
Answer:
70
Step-by-step explanation: