[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]
Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.
Taylor's Savings Plan --- In the file (Picture).
a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.
a. Ryan's rate of change is $15 per month;
Taylor's rate of change is $20 per month
b. Ryan's starting balance is $50;
Taylor's starting balance is $25.
Recall:
A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in xRyan's Savings Plan Function:
s = 15m + 50
Thus, the starting value (starting balance) modelled by this function is $50
The slope/rate of change is $15 per month
Taylor's Savings Plan:
Given the table, the starting value will be the amount saved (initial value) at 0 number of months.
Therefore, Taylor's starting balance is: $25Using (0, 25) and (1, 45) find the rate of change:
Rate of change = (45 - 25)/(1-0) = 20/1 = $20In summary:
a. Ryan's rate of change is $15 per month;
Taylor's rate of change is $20 per month
b. Ryan's starting balance is $50;
Taylor's starting balance is $25.
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38499 divided by 779
Step-by-step explanation:
49.43 is your answer bro brainlist plz
[tex]\sf -8(6x+3)[/tex]
Answer:
[tex] - 8(6x + 3) = - 8 \times 6x + - 8 \times 3 \\ = - 48x - 24[/tex]
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
compare. 2 1/4 and 3 /14
Answer:
[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]
[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]
[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]
i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]
but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number
and [tex]\frac{3}{14}[/tex] is a proper fraction
Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?
Answer:
[tex]5[/tex]
....,,,✨✨✨✨✨✨✨
I need help with this question can someone plss help me!!
Answer:
Step-by-step explanation:
y - 12 = 89
y - 12 +____
=89 + 12
y=?
Answer:101
Step-by-step explanation:
Carol has some dimes and quarters. If she has 31 coins worth a total of $4.30, how many of each type of coin does she have?
Answer:
23 Dimes and 8 Quarter.
Step-by-step explanation:
Important info:
31 Coins worth a total of $4.30
Note:
Dimes = .10
Quarters = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many of each type of coin does she have?
Solution:
Lets get rid of the .30 cent in $4.30 so
.30 = 3 Dimes
Now $4.00,
4.00-1.00 of quarter
=
3.00 and 4 quarter..
Right now we have 3 Dimes and 4 Quarter = $1.30.
And that 7 Coins worth of $1.30.
3.00-2.00= 1.00 and 20 Dimes so now we have
23 Dimes and 4 Quarter.
And that add up to 27.
1.00-1.00 of Quarter = 4 Quarter.
so 31 worth a total of $4.30.
So that's 23 Dimes and 8 Quarter.
Check Work:
23 Dimes = $2.30 and 8 Quarter = $2.00
$2.30 + $2.00 = 4.30
Hence, The Correct Answer is 23 Dimes and 8 Quarter.
~[ RevyBreeze }~
While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?
The seat in the middle of the one-way route is 34
The seats are given as:
[tex]First= 0[/tex] --- the first seat behind the seat number 95
[tex]Last= 66[/tex] --- my seat
The seat number half-way would be:
[tex]Half = \frac{Last - First}{2} + 1[/tex]
This gives
[tex]Half = \frac{66- 0}{2} + 1[/tex]
Subtract 0 from 66
[tex]Half = \frac{66}{2} + 1[/tex]
Divide 66 by 2
[tex]Half = 33 + 1[/tex]
Add 33 and 1
[tex]Half = 34[/tex]
Hence, the seat in the middle of the one-way route is 34
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Help me pleaseeee with this
Do the ratios 18 7 and 2 1 form a proportion?
Hi!
There are a few ways we can do this. The first one is this:
The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]
To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.
Therefore they are not proportions.
The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:
[tex]\frac{18}{7}[/tex] [tex]\frac{2}{1}[/tex]
To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.
Therefore they are not proportions.
Hope this helps! Have a great day! Let me know if you need any other help :D
67-7x(12-3)
Evaluate
Answer:
67-63x
Step-by-step explanation:
please help asap!!!!
Answer:
justin biberis black
Step-by-step explanation:
please help ill give brianliest to whoever gets the question right :)
Answer:
72
Step-by-step explanation:
I this problem I'm sure you're supposed to multiply: 24 x 3 = 72
hopefully this helped :)
Are these geometric shapes ASA, SSS, SAS or None?
I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.
Answer:
4)ASA
6) ASA
2) SSS
8) SAS
Step-by-step explanation:
numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA
number 2 is SSS because all 3 sides are congruent
number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS
hope that helps and I apologize about earlier
have a wonderful day!
Answer:
2) None, 4) ASA, 6) ASA, 8) ASAStep-by-step explanation:
#2We have two parallel sides.
This gives us two pairs of alternate interior angles and one pair of vertical angles.
In total 3 congruent angles. This is not enough to state congruence.
None
#4We have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#6Similarly to above question, we have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#8We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.
We can state the triangles are congruent by ASA as the congruent side is included.
What's the answer please help me!
Answer:
0.62
Step-by-step explanation:
10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:
1st move: 620 -> 62.0
2nd move: 62.0 -> 6.20
3rd move: 6.20 -> 0.62
an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?
Answer 1 question. Thanks
Simplify the following expressions using the laws of exponents.
Answer:
Salmat po sa lahat
Step-by-step explanation:
ako ay from pilipinas na padpad lng dito ^_^
If t=100, find 2t + 1
I need help please!!!
Answer:
x=1
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1
Brainliest would be appreciated! :-)
Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X
Answer:
Tan 70 = opp/adj
Tan 70 = x/6
multiply by 6 on both sides
16.5 = x
I neeeed the answer I’m mad confused
Answer:
KNOW PAIN FEEL PAIN ACCEPT PAIN
What si 19 3/4 + 19 3/8
Answer:
313 over 8=39 and 1 over 8 39 1 /8 =39.125
Step-by-step explanation:
2/3 (4x + 3) = 1/4 (3x - 15)
Answer:
x=-3
Step-by-step explanation:
My question is in the attachment.
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
Answer:
The son is 5 and the father is 25.
Step-by-step explanation:
We can do this using Algebra.
Let the son be x years old.
Then the father's age is x + 20 years.
After 5 years the father's age is x + 25 and the son is x + 5 years.
So we can write the equation:
x + 25 = 3(x + 5)
x + 25 = 3x + 15
25 - 15 = 3x - x
10 = 2x
x = 5.
So the father's present age is 20 + 5 = 25 and the son is 5 years old.
write 200% as a decimal
Answer:
Percent Decimal
80% 0.8
90% 0.9
100% 1
200% 2
Answer:
2.00
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
