==============================================================
Explanation:
x = number of months
y = account balance
The first column of the table has (x,y) = (8,470) to mean that on month 8, her balance was $470
Then we have (10, 390) meaning x = 10 and y = 39. As x increased by 2, y dropped by 470-390 = 80 dollars. She withdrew $80 over the course of two months. Therefore, she is withdrawing 80/2 = 40 dollars a month. This is the slope value. It represents the rate of change. We could use the slope formula to find the same result.
Let m = -40 be the slope. It's negative to indicate the value of y goes down as x goes up, or vice versa.
With m = -40, x = 8 and y = 470, we can find the y intercept b like so
y = mx+b
470 = -40*8+b
470 = -320+b
470+320 = b
790 = b
b = 790 is the y intercept, and it represents the initial account balance before Katie started withdrawing money.
In other words, it represents the starting amount of money she has.
-------------------------
As a slight alternative, we could use the point slope form to find the y intercept
y - y1 = m(x - x1)
y - 470 = -40(x - 8)
y = -40(x-8) + 470
y = -40x + 320 + 470
y = -40x + 790
You don't have to use (x,y) = (8,470). You can use any column you want from the table of values. The value of m will be m = -40 the whole time however.
-------------------------
As a way to check to see if we have the correct equation, try plugging in various values of x to see if you get the proper y values as outputs as shown in the table.
For instance, if we tried x = 10, then,
y = -40x + 790
y = -40*10 + 790
y = -400+790
y = 390
That confirms column 2. I'll let you verify the other columns.
What is partial fraction decomposition?
Explain this and provide an example, please
thank you :)
Answer:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
For example, Partial fraction decomposition is used to integrate rational functions and in engineering for finding inverse Laplace transforms.
Step-by-step explanation:
Debbie found a suitcase that was originally 129 but now is on sale for 30% off. If sales tax is 8.75%, what is her final cost?
Step-by-step explanation:
To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.
129 * 0.7 = 90.3
Then we multiply 90.3 by 1.0875 since that is the sales tax
90.3 * 1.0875 = 98.2
so the cost is 98.2
Answer:
$98.20
Step-by-step explanation:
"30% off" refers to the discount (amount by which the original price is reduced); 100% - 30%, or 70%, refers to the sale price. It's the latter that we want. Multiply $129 by 0.70 to obtain the sales price, obtaining $90.30.
The final cost to Debbie is this sales price plus the 8.75% sales tax. Multiply this $90.30 by 1.0875 to obtain the sales price: $98.20.
Ki has captured many yellow spotted salamanders he weighs each and then counts the number of yellow spots on its back This trend line is a blank fit for these data A strong B parabolic C negative D weak
Answer:
A. Strong
Step-by-step explanation:
Mark as Brainliest
12. A number from 1-30 is chosen at random.
What is the probability that the number is
not a prime number?
Answer:
2/3
Step-by-step explanation:
let S be number of sample space
n(S)= 30
n(not prime number) =20
Pr(not prime number)=20/30
=2/3
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
8, 12,18,...
8,12,18,...
\text{Find the 6th term.}
Find the 6th term.
Answer:
8,12,18,26
Step-by-step explanation:
8,12,18,26
What’s the answer ? Help! PLEASE!
Answer:
408
Step-by-step explanation:
4 cm square
Area = s^2
Area = 4^2 = 16
I don't think you should be counting where the yellow and blue merge.
Yellow Top
Area = L*W
Area = 15*6 = 90
Yellow bottom = 90
Yellow Front
area = L*W
Area = 15*4 =60
Area yellow Back =60
Area 2 triangles
Area 1 triangle = 1/2*b*h
b = 3
h = 4
Area 1 triangle = 1/2*4*3 6
Area 2nd triangle = 6
Slanted part of triangle
Area = 6 * 5 30
Bottome Triangle
Area = L * W
L = 6
w = 3
Area = 6 *3 18
Total 426
Need help ASAP! I’m very confused!
Answer:
4 would be your answer
Step-by-step explanation:
brainlesit pls
What is the area of the figure Enter in the box
M2
Can you help me? If you can I would be very appreciated if you tell me how you got the answer!? If you can’t it’s totally fine. Also making Brainly questions and 50 points!
Answer:
Total Area = 532 m²
Step-by-step explanation:
Triangle = ½bh.
Rectangle = lw.
Total Area = sum of individual areas =
(8 m × 16 m) / 2 + (16 m × 18 m) / 2
+ (18 m × 18 m) =
(64 m²) + (144 m²) + (324 m²) =
532 m²
! URGENT EMERGENCY !
what is the value of x and y
find the smallest 4 digit number that can be formed with the digits 0,4, 2 and 6
Answer:
dgjkgc!vhlyj do gjgmnnnhchvgjffjhvhfkjufug
HELP ILL MARK BRAINLIEST!
Answer:
Area of triangles:
6 x 5.2 = 31.2 divided by 2 = 15.6, 15.6 x 2(two triangles) = 31.2
Area of bottom:
6 x 10 = 60
Area of left and right side:
10 x 6 = 60, 60 x 2 = 120
Sum of all areas:
31.2 + 60 + 120 = 211.2 cm^2 is your answer.
Answer:
B
Step-by-step explanation:
HEIGHT=10CM
SIDE A =6CM
SIDE B=6CM
SIDE C =6CM
TOTAL SURFACE AREA=211.18 CM SQUARED
Write a rule for the linear function. (2,5) and (1,1)
The graph of a linear function is a straight line. f(0) = -5 means that (0,-5) is a point on the line. Similarly, (-5,-6) is also a point on the line. [ Slope of line = m = [-6-(-5)]/[-5-0] = -1/(-5) = 1/5 Using the point-slope form, an equation of the line is: y - (-5) = (1/5)(x - 0) So, y = (1/5)x - 5 ]
Find the area of the polygon.
I would like both answers and how to get them (show work).
Thanks!
Answer:
7. 15.5
8. 12
Step-by-step explanation:
Question 7 equation: [tex]\frac{3*1}{2} + \frac{5+2}{2} * 4=1.5 + 3.5 * 4 = 1.5 + 14 = 15.5[/tex].
Question 8 equation: [tex](\frac{2*2}{2} * 2) + (\frac{4*2}{2} *2) = 4 + 8 = 12.[/tex]
f(x)= x^2
g(x) 1/2 x^2
Which option could show the graphs of f and g?
Answer:
The answer is D
Step-by-step explanation:
pls help me on this !!!!!!!!!!!
Answer:
11.8 m
Step-by-step explanation:
2/3πr^3=1100π
r^3=1650
r=11.8
What is the difference between 5 hundreds and 3 tens?
Answer:
5 tens and 3 hundreds = 50 + 300 = 350. That is basically asking what number goes 5-3-2. This is because 5 hundreds means 5 in the hundreds place, or 500. 3 tens is just saying 3 in the tens place, or 30.
Step-by-step explanation:
Answer:
500-30 which the answer is 470
factoring trinomials 4x^2-15x-25
Answer:
For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅−25=−100 a ⋅ c = 4 ⋅ - 25 ...
Step-by-step explanation:
-5 + ? = -7 1/3
PLS HELP MEEEEE
Answer:
-7/3 = -2 1/3.
Step-by-step explanation:
To find '?' subtract the answer from the addend.
[tex]-7\frac{1}{3} -(-5)=-2\frac{1}{3}[/tex]
Therefore, '?' is -7/3 = -2 1/3.
Make x the subject of the formula
Y=3x+2
Answer:
(y-2)÷3=x
Step-by-step explanation:
y=3x+2
y-2=3x
(y-2)÷3=x
This answer could also be written as a fraction: y-2 over 3, equals x.
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $10 and $310
Complete question :
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
Answer:
0.999
Step-by-step explanation:
Mean, m = 205 ; Standard deviation, s = 35
Z = (x - m) / s
x = 310
Z = (310 - 205) / 35 = 3
P(z < 3) = 0.99865
x = 10
Z = (10 - 205) / 35 = - 5.57
P(Z < - 5.5)
P(z < 3) - P(z < - 5.5)
0.99865 - 0
= 0.999
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
A. Region 3
B. Region 1
C. Region 4
D. Region 2
Answer:
B. Region 1
Step-by-step explanation:
because it is how much is their
Answer: region 3 i believe
Step-by-step explanation:
an athlete completes one lap in 2/3 of a minute. if he runs at the same rate, how long will he take to coplete two whole number and a half laps?
Answer:
the time taken to complete two whole number and a half laps is
1 ²/₃ min
Step-by-step explanation:
Given;
time taken to complete 1 lap, = 2/3 minutes
The time taken to complete 2 and 1/2 laps is calculated as follows;
[tex]Time \ taken= \frac{2}{3 } \frac{\min}{lap} \ \times \ 2\frac{1}{2} laps\\\\Time \ taken = \frac{2}{3} \frac{\min}{lap} \ \times \ \frac{5 }{2} laps= \frac{5 }{3} \min = 1\frac{2}{3} \min[/tex]
Therefore, the time taken to complete two whole number and a half laps is
1 ²/₃ min
TRUE or FALSE: -5 < 3
Answer:
true
Step-by-step explanation:
Simplify the following exponential expressions:
1. 6y^3 x 5y^6
2. 8x^5 x 3x^2
3. 7m^4 x 3m x 5m^2
4. 10d^7 x 5d^0
Answer:
See below
Step-by-step explanation:
[tex]1. \: 6 {y}^{3} \times 5 {y}^{6} \\ = 6 \times 5 \times {y}^{3 + 6} \\ = 30 {y}^{9} \\ \\ 2. \: 8 {x}^{5} \times 3 {x}^{2} \\ = 8 \times 3 \times {x}^{5 + 2} \\ = 24 {x}^{7} \\ \\ 3. \: 7m^4 \times 3m \times 5m^2 \\ = 105 {m}^{4 + 1 + 2} \\ = 105 {m}^{7} \\ \\ 4. \: 10d^7 \times 5d^0 \\ = 10 \times 5 \times {d}^{7 + 0} \\ = 50 {d}^{7} [/tex]
From a survey of the population of the United States, a circle graph was created. What is the ratio of whites to blacks according to the circle graph?
80 to 3
20 to 1
20 to 3
80 to 1
Answer:
20 to 3 or 20 : 3
Step-by-step explanation:
White : Black
= 80 : 12
= 80/12
= 20:3
hi pls, help me with this, I am giving 15 points 10 for answering the question and 5 for telling me what is Q1 meaning and Q2 meaning ty!
The table below shows 10 data values:
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?
A.) Minimum = 121, Q1 = 125, median = 133.5, Q3 = 136, maximum = 140
B.) Minimum = 121, Q1 =136, median = 133.5, Q3 = 125, maximum = 140
C.) Minimum = 125, Q1 = 130.25, median = 132.5, Q3 = 134.5, maximum = 138
D.) Minimum = 125, Q1 =134.5, median = 132.5, Q3 = 130.25, maximum = 138
Answer:
we have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)
Step-by-step explanation:
minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
I did this a long time ago so im not so sure
Answer:
Step-by-step explanation:
121 122 125 126 132 135 136 136 138 140
140 -121 =19 range
Min=121 max =140
Mean = 131.1
Median = 132+135=267/2=133.5
please answer the following question
Step-by-step explanation:
volume= y×9×10=2700
90y=2700
y= 2700/90
y= 30 cm
What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction
Answer:
C. y=7
Step-by-step explanation:
guy above me was right
The horizontal asymptote of the given function [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex] would be y = 7.
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
The given function is
[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]
We need to determine the horizontal asymptote.
Horizontal asymptote;
From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.
Then, the horizontal asymptote is the y-axis.
Thus, the horizontal asymptote is y = 7.
Learn more about horizontal asymptotes here:
https://brainly.com/question/2513623
#SPJ2
16. What is the volume of this prism? 3 cm 6 cm 2.65 cm 3 cm 6 cm
Answer:
859cm³
Step-by-step explanation:
Volume=mass
density
1/4 divided by 5
answers stat will mark brainlist, only if explanation is given
[tex]0.05[/tex] ✅
Step-by-step explanation:
[tex] \frac{ \frac{1}{4} }{5} \\ = \frac{1}{4 \times 5} \\ = \frac{1}{20} \\ = 0.05[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]