Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
Write an exponential model given the two points (10,130) and (11,240).
Answer:
y = 130(24/13)^(x -10)
Step-by-step explanation:
The y-value changes by a factor of 240/130 = 24/13 for a unit change in the x-value. This means we can write the function as though it had an initial value of 130 and a growth factor of 24/13, translated 10 units to the right.
y = 130(24/13)^(x -10)
_____
Additional comment
This can also be written in the form ...
y = a·e^(kx)
where a=130·(24/13)^(-10) ≈ 0.28266, and k=ln(24/13) ≈ 0.61310
Help I don’t understand
Answer:its right
Step-by-step explanation:Just remember inorder for a relationship to function y dont repeat its eX
Up to this point, the only types of numbers you've seen have been rational numbers. You can write any rational number as a fraction. The prefix ir- means not. What do you think it means for a number to be irrational? Can you think of any numbers that are irrational?
Answer:
Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.
Step-by-step explanation:
Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals
Which segment is a reflection of segment AB over the line x = 1? Line segment C D Line segment E F Line segment G H Line segment I J.
Answer:
A
trust me
have a good day brainliest and 5 star please :D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
NEED HELP ASAP
What is the value of x?
Enter your answer in the box. with straight line with a slightly titled line on top to the right, on the left of that line is (10x-20) and on the right side says (6x+8)
Write an equation the describes the line passing through point (-2,8) with slope 4/5
Answer:
point-slope form: [tex]y-8=\frac{4}{5}(x+2)[/tex]
Step-by-step explanation:
hope this helps :)
Help ME !! Its A Math Problem! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:
negative
zero
odd
even
When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.
PolynomialA polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomial are classified based on degree as linear, cubic, quadratic etc.
A quadratic equation is of degree 2. It is given by:
y = ax² + bx + c
where a, b and c are constants
When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.
Find out more on Polynomial at: https://brainly.com/question/2833285
Can someone please help me
Answer:
(3, 0)
Step-by-step explanation:
So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
3x + y = 9 (keep as is)
x + 2y = 3 --> -3( x + 2y = 3) In this case I chose to make the X the opposite of each other
--
3x - 3x = 0 (forced to get rid of)
y - 6y = -5y (Get the -6 by -3 x 2)
9 - 9 (Get the -9 by -3 x 3)
Left with:
-5y = 0 (Divide both sides by -5 to get X alone)
y = 0
----------------------------------------------------------
(Choose any ORIGINAL equation)
x + 2y = 3
x + 2(0) = 3 (substitute)
Left with:
x = 3 (x + 0 = 3)
-------------------------------------------------------------
Optional:
Chose the other equation (the opposite from above)
Substitute X and Y in 3x + y = 9
3(3) + (0) = 9
Left with: 9 = 9 (check)
Hope this helps!
Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known that it is a linear function.
Answer:
To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)
To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.
Points on f(x): (0, -4) (2, 0) (5, 6)
Points reflected in line y=x: (-4, 0) (0, 2) (6, 5)
Plot points (-4, 0) (0, 2) (6, 5) and connect to form a straight line - this is the inverse of the function: [tex]f^{-1}(x)[/tex]
To determine the equation of f(x):
Choose 2 points on f(x): (5, 6) and (0, -4)
Calculate the slope (gradient) by using:
[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2[/tex]
Using the slope-intercept form: y = mx + b
(where m is the slope and b is in the y-intercept)
From inspection of the graph, we can see the line crosses the y-axis at -4,
⇒ f(x) = 2x - 4
As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then
f(x) = 2x - 4, 0 ≤ x ≤ 5
To determine the equation of [tex]f^{-1}(x)[/tex]:
Rewrite f(x) as [tex]y = 2x - 4[/tex]
Swap the x and y: [tex]x = 2y - 4[/tex]
Rearrange to make y the subject: [tex]y= \dfrac{1}{2}(x + 4)[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
So the equation of the inverse is: [tex]f^{-1}(x)= \dfrac{1}{2}(x + 4)[/tex]
As the original function is a segment, then
[tex]f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6[/tex]
(shown in blue on the attached diagram)
** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **
Harry took out an 80/20 mortgage to buy a house costing $175,000. The first
(80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
Answer:
WEll the answer is d
Step-by-step explanation:
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.
======================================================
Explanation:
The formula we'll be using is
P = (L*i)/( 1-(1+i)^(-n) )
where,
P = monthly paymentL = loan amounti = interest rate per month in decimal formn = number of months---------------------
For the first mortgage (80%), we need to find out the L value
L = 80% of 175,000 = 0.80*175,000 = 140,000
The monthly interest rate is the annual rate over 12
i = r/12 = 0.0475/12 which I'll keep as a fraction
Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.
To summarize the input values we'll use, we have,
L = 140,000i = 0.0475/12n = 360Let's compute the monthly payment
P = (L*i)/( 1-(1+i)^(-n) )
P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )
P = 730.30627110436 approximately
P = 730.31
The first mortgage has a monthly payment of $730.31
We'll use this later.
---------------------
Now onto the second mortgage (20%)
L = 20% of 175,000 = 0.20*175,000 = 35,000
i = r/12 = 0.07525/12 which I'll keep in fraction form
n = 360 months (same as before)
In short,
L = 35,000i = 0.07525/12n = 360So,
P = (L*i)/( 1-(1+i)^(-n) )
P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )
P = 245.32451498724 approximately
P = 245.32
The second mortgage has a monthly payment of $245.32
---------------------
The last step is to add the two monthly payments (found at the conclusion of each previous section)
730.31 + 245.32 = 975.63
There are five marbles in a bag two are yello and three are green. You draw a marble, replace it, and then draw another. What is the probability of choosing two yellow marbles
Answer: 2/5
Step-by-step explanation:
Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles
Hope this helps:)
how much water does Andrew save (PLS HURRY 100 POINTS)
Answer:
standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.
y = 3x
Answer:
40 gallons :)
Step-by-step explanation:
What is the answer??
Answer: I THINK ITS (-10/8)
Step-by-step explanation:
(5x + 2)+(7x - 6) equals what
Answer:
Use F.O.I.L method
First, Outter, Inner, Last
So:
5x*7x= 35x^2
5x*-6= -30x
7x*2= 14x
2*-6= -12
So just add it all up, combine like terms and you have your answer.
35x^2 -16x -12
Answer:
12x - 4
Step-by-step explanation:
Add like terms.
5x + 7x = 12x
2 + (-6) = -4
Therefore, (5x + 2) + (7x - 6) = 12x - 4.
which interest rate and time would result in the lowest total loan repayment for a %50,000 loan earning simple interest?
A. 30 years at 3%
B.25 years at 3.5%
C.15 years at 6%
D 20 years at 4.5%
Answer: Choice B
Explanation:
Convert each percentage mentioned to decimal form. Example: 3% = 0.03
Then multiply each time value with the decimal form of the interest rate.
A) 30*0.03 = 0.9B) 25*0.035 = 0.875C) 15*0.06 = 0.9D) 20*0.045 = 0.9Choice B yields the smallest result, so it will lead to the lowest amount of interest to pay on top of the principal. Therefore, option B is the best route to have the lowest total repayment.
Which of the following is the equation for the graph shown?
graph of an ellipse on a coordinate plane going through 12 comma 0, negative 12 comma zero, approximately 0 comma 10, and approximately 0 comma negative 10 with points inside ellipse at negative 7 comma 0 and 7 comma 0, and lines x equals 144 sevenths and x equals negative 144 sevenths
a
x squared over 144 plus y squared over 95 equals 1
b
x squared over 144 minus y squared over 95 equals 1
c
x squared over 95 plus y squared over 144 equals 1
d
x squared over 95 minus y squared over 144 equals 1
The standard equation of an ellipse is [tex]\frac{x^2}{144} +\frac{y^2}{95} =1[/tex]
Ellipse
The standard equation of an ellipse is given by:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1[/tex]
Where (h, k) is the center of the ellipse, 2a is the length of the major axis and 2b is the length of the minor axis.
Given the center = (0, 0), a = 12, b = 9.75, hence:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1\\\\\frac{(x-0)^2}{12^2} + \frac{(y-0)^2}{9.75^2} =1\\\\\frac{x^2}{144} + \frac{y^2}{95} =1[/tex]
Find out more on Ellipse at: https://brainly.com/question/19507943
Please help ASAP!!!!!!!!!
Answer:
V = 324π in^3
Step-by-step explanation:
Volume of a cylinder: V=π*r^2*h
V=π*r^2*h
V=π*r^2*h
V = π*6^2*9
V = π*36*9
V = 324π in^3
Hope this helps!
The graphs below have the same shape. What is the equation of the blue
graph?
601=
FO) = x2
w
-5
6
-5
G(X) =
A. G(x) = (x-4)2 + 3
B. G(X) = (x+4)2 + 3
OC. G(x) = (x+4)2.3
Answer:
Correct answer is C
Step-by-step explanation:
The blue graph is translated down 3 which would give you the minus 3 and translated left 4 giving you the plus 4..
The equation of the blue graph is G ( x ) = ( x + 4 )² - 3
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of the graph be represented as A
Now , the value of A is
Since the graph is that of a parabolic curve ,
It is a quadratic equation of the form y = ( x + a )² - b
And , the graph is shifted right to 4 units and down by 3 units
So , the equation of graph is G ( x ) = ( x + 4 )² - 3
Hence , the equation of graph is G ( x ) = ( x + 4 )² - 3 and plotted
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
Tyler plans to put a fence around his rectangular garden. The garden measures 8 ft by 6 ft. How much fencing does Tyler need to enclose his garden? 24 ft 28 ft 48 ft I don't know.
Tyler needs 28 feet of fencing to enclose his rectangular garden.
We have,
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case,
The length of the garden is 8 ft and the width is 6 ft.
Substituting these values into the formula
Perimeter = 2 * (8 ft + 6 ft)
= 2 * 14 ft
= 28 ft
Therefore,
Tyler needs 28 feet of fencing to enclose his rectangular garden.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ12
I WILL GIVE BRAINLIEST!!!!!
What is the justification for step 2 in the solution process?
1/2r+1/2=-2/7r+6/7-5
Step 1: 1/2r+1/2=-2/7r-29/7
Step 2: 1/2r=-2/7r-65/14
A.) The subtraction property of equality
B.) The multiplication property of equality
C.) The division property of equality
D.) The addition property of equality
Answer:
Option AStep-by-step explanation:
At Step 2 you subtract 1/2 from both sides of the equation:
1/2r = - 2/7r - 29/7 - 1/21/2r = - 2/7r - 58/14 - 7/141/2r = - 2/7r - 65/14Its justification is therefore is:
A) The subtraction property of equalityCharlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary. Charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. What will Charlene’s new net income be? a. $113. 70 b. $176. 70 c. $229. 95 d. $238. 70.
Charlene’s new net income will be $113.70.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the monthly salary of Charlene is $3,410. While her net income is 7% of her monthly income. Therefore, the net income of the Charlene is
[tex]7\%\ of\ \$3410 = \text{Charlene Net income}\\\\\dfrac{7}{100} \times 3410 = \text{Charlene Net income}\\\\ \text{Charlene Net income} = \$238.7[/tex]
Thus, Charlene's net income is $238.7.
Now since Charlene is going to reduce her net income by $125 each month, therefore,
Charlene New Net Income = Charlene Net Income - $125
= $238.7 - $125
= $113.70
Hence, Charlene’s new net income will be $113.70.
Learn more about Percentage:
https://brainly.com/question/6972121
This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V?
In your answer, give the scale factor that was used and explain how you
calculated it.
The scale factor used to create the dilated Triangle M'S'V is 2/3.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.
Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3
The scale factor used to create the dilated Triangle M'S'V is 2/3.
Find out more on Transformation at: https://brainly.com/question/1462871
Find the product of (x 7)(x − 7). X2 − 14x 49 x2 − 49 x2 14x 49 x2 49.
Answer:
14[tex]x^{2}[/tex] - 98x - 25774
Step-by-step explanation:
1- Reorder
Reduce
Calculate
2- Rewrite
Calculate
3- Calculate
4- Remove the parentheses
5- Calculate
anna had 5.00 to buy school supplies after buying 4 pencils she had 3.75 which of the following ratios shows one way to determine the unit price of the pencils
A)$5.00/4
B)$1.25/4
Answer:
B) $1.25/ 4
Step-by-step explanation:
if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.
$5.00 subtract $3.75 equals $1.25
hope this helps :D
does anybody know the answer to this
Answer: 130
Step-by-step explanation:
Pls I really need help 40 points I’ve been stuck on this over an hour. Is my change in area and dimensions correct?
Answer:
you are correct.
if you multiply the base and height with 3
height: 3 * 4 = 12
base: 3 * 8 = 24
area = 1/2 * base * height = 1/2 * 24 * 12 = 144
change in dimensions: 3 * 1 = * 3
change in area is (144/16) = 9
A total of 638 tickets were sold for the schoc play. They were either adult tickets or student tickets. There were 62 fewer student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
576 adult tickets were sold at the school play.
Step-by-step explanation:
638 - 62 = 576
Answer:
576
Step-by-step explanation:
you would do 638-62 and get 576
please answer class 7 i will follow the user who answers it
Answer:
5. c- 50°; 130°
6. b- 5:4
7. d- 12/24
x/3-4=7
whats the answer i cant figure this out?
I think x is 33
that's your answer
what is 4 7/8 - 2 3/4
[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]
Step-by-step explanation
[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{17}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]