y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.
The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
The table is represented as:
Years - Values
1 - $104,271. 02
2 - $107,399. 15
Appreciation and depreciation are often represented using exponential function as follows:
[tex]f(x) = ab^x[/tex]
At year 1, we have:
[tex]104271. 02 = ab^1[/tex]
[tex]104271. 02 = ab[/tex]
At year 2, we have:
[tex]107399. 15 = ab^2[/tex]
Divide both equations
[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]
[tex]1.03 = b[/tex]
Rewrite as:
[tex]b = 1.03[/tex]
He bought the real estate for $101,234.
So, we have:
[tex]a = 101234\\[/tex]
Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]
[tex]f(x) = 101234(1.03)^x[/tex]
Replace x with t
[tex]f(t) = 101234(1.03)^t[/tex]
Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
Read more about exponential functions at:
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Help me please ;-;
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
A. -10
B. 14
C. -14
D. 10
Answer:
-14
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=4x - 2 x= -3
y=4(-3) - 2
y= -12 - 2
y= -14
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213
The average laundry worker folds five
towels in a minute, but Miss Parker
folds eight! At the end of an hour,
how many more towels has she
folded than the average worker?
Answer:
Miss Parker folded 180 more towels than the average laundry worker
Step-by-step explanation:
5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180
please answer, thank you in advance to whoever does !!!!
Answer:
B
Step-by-step explanation:
Move it down 3 units, then rotate it.
5184 divided by 27
JUST ANSWER
Answer:
[tex]5184 \div 27 = 192[/tex]
Step-by-step explanation:
Hope this helps you !!What is 7/6 as a decimal
I need it I the next 5 mins please!
I’ll give brainliest
Hey there!
7/6
= 7 ÷ 6
= 1.166667
Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Simplify.
(2⁴)³
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
4096
Step-by-step explanation:
Explanation:
The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.
So, (2^4)^3 = 2^(4*3) = 2^12
You could take the slightly longer path to say the following
(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
What is this 3(x+2)<4(x−2)
SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!
Answer:1. (1,2) 2.(-1,0)
Step-by-step explanation:
1. 5x-4(-3x+5)=3 x=1 2. 3(2y-1)-2y=-3 y=0
y=-3x1+5 y=2 Plug them in X=2x0-1 x=-1 plug them in
explain or show that the point (5,-4) is a solution to this system of equations
Answer:
You could substitute the point (5,-4) into each equation
Step-by-step explanation:
x=5 y=-4
3x-2y=23
3(5)-2(-4)=23
15+8=23
23=23
2x+y=6
2(5)+(-4)=6
10-4=6
6=6
The points go into each equation which proves that the point (5,-4) is the solution.
(i don't know if I did this right, I apologize if I didn't
Can someone please help me!!?
Answer:
Step-by-step explanation:
Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
For more information, please check: https://brainly.com/question/25802822
x^2-x+2=0
Please use the quadratic formula
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
Learn more: brainly.com/question/22286698
estimate quotients using compatible numbers lesson 4.5 answer key
4 its the correct answer do it
Step-by-step explanation:
its correct
i have a very hard question,
what is 1+2
please help asap
Answer:
The answer is 3.
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?
Answer:
Step-by-step explanation:
Let's find an equation by starting with the slope intercept form:
y = mx + b
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope, so:
y = -(1/3)x + b
Now we need to find a value for b that will force the line to go through point (-6,-6). We can determine by putting the point (-6,-6) into the equation and solving for b:
y = -(1/3)x + b
-6 = -(1/3)(-6) + b [Enter the point (-6,-6]
-6 = 2 + b
b = - 8
The equation becomes y = -(1/3)x - 8.
See the attachment.
In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
pls help on my maths
Given:
[tex]A = 25[/tex]Let's simplify.
=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)Therefore, r ≈ 2.82.
Hoped this helped.
Answer:
r= 5/√ π
or
r=2.820948 or simplified =2.82
Step-by-step explanation: it could be either one of these
Evaluate the following expression 6⋅2+6^4 khan academy
Answer:
6.2+6^4
6.2+1.296
7.496
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Answer:
3.6? I don't really know
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
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please help me it's important
Answer:
circumference=2×3.142×radius
radius=16.8÷2=8.4
so,
circumference=52.7856cm
Eight times a certain number plus ten is equal to twelve times the same number minus seven
22.68 ÷ 14.65 ayuden pliss
Answer:
1.54
Step-by-step explanation:
2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
help wanted will mark brainiest
Answer:
For question a the answer is option b at 50$
For question b the answer is 50 miles and option a is less
Step-by-step explanation:
a)
3
NIX 01/x
b
b)
=
= 8.5
Answer:
a = 8.5
Step-by-step explanation: