A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
Answers
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
Related Questions
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answers
Answer:
110,........................
Rick has $20. He spent $10 on food, $6 on a movie ticket, and saved the rest.
( need to answer both pls )
A. How much money did he save.
B. What fraction of the total amount did he save.
Answers
Answer:
A. $4
4/20 or 1/5
Step-by-step explanation:
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answers
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answers
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
what is the product of 2 1/8 and 4 1/3 ? who ever answer correct will be marked brainlest
Answers
Answer:
9 5/24
Step-by-step explanation:
Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs
Answers
Answer:
Step-by-step explanation:
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What is the distance between the points (22 , 14) and (7 , 14) in the coordinate plane?
Answers
Step-by-step explanation:
Distance between the points = sqrt[(22-7)² + (14-14)²] = 15.
Answer:
it is 15 something sorrry if i am wrong
Step-by-step explanation:
Simplify each expression. (Will Give Brainlest)
Answers
Answer:
0.88
Step-by-step explanation:
-5.37 + 8.14 - 1.89
-5.37 + 6.25
= 0.88
Step-by-step explanation:
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I need help Brian listed if u awnser! right now!
Answers
if he is 1/3 from school, then the total distance he has to walk is 3 times more than what he has walked
Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6
Answers
pls help having a hard time understanding I just need the answers
Answers
Answer:
B
Step-by-step explanation:
Basically, you can rule out all of the other answers by the following criteria:
A is wrong because any y= equation without an x is just a straight horizontal line
C is wrong because any x= equation is just a vertical line
D is wrong because both lines shown are positive lines, and both equations in answer D are negative
Therefore by process of elimination, the only answer that makes sense is B
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What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42
Answers
Answer:
Its 6.12 × 10^42
Step-by-step explanation:
U have to break it into pieces.. Np Merry Christmas
given f(x)=2x-5, find x when f(x)=9
Answers
Answer:
x = 7
Step-by-step explanation:
9 = 2x - 5
add 5 to both sides
14 = 2x
divide by 2 to get x by itself
x = 7
Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from the account
Answers
Step-by-step explanation:
gakamajs8skwzaHzk
bak*ywnJz8s
Please helppppp
Shawna knows that the number of milligrams in a Childs dose of certain medicine is equal to two-thirds the weight of the child's in pound. How much of the medicine should Shawna give a child who weighs 45 pounds?
A: 15mg
B: 30mg
C: 35mg
D: 40mg
Answers
Answer:
I think B
Cuz : he said that the medicine is equal to two-thirds the weight of the child's in pound which means 2/3 multiple 45 is 30
Isn't it?
Which of the following is a proper fraction?
a. 3
4 b. 4
3
c. 4
13 d. 5
Answers
Complete question is;
Which of the following is a proper fraction?
a. 3/4
b. 4/3
c. 4¾
d. 3¼
Answer:
a. ¾
Step-by-step explanation:
Proper fraction is one in which the numerator is less than the denominator while improper fraction is one whereby the numerator is greater than the denominator.
From this definition, the one that is proper fraction is only ¾.
Answer:
jllfdlkdjklfsdkldsjlkdsj
Step-by-step explanation:
this is payback
Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Answers
Answer:
Step-by-step explanation:
lets remember that 1kg=2.2 lb
if
2.2 lbs................................1 kg
120lbs...................................? kg
120/2.2=54.54 kg
what does this mean?
Answers
Answer:
That means you finished.
Step-by-step explanation:
HELLPPPPPPPPP PLEAAASSSEEEEE
Answers
In quadrants 1 and 3 the x-coordinate of a point is positive?
Answers
no because one is negative and the other is positive so no it didn't
multiply 4-6i and -4+2i
Answers
Answer:
-4 + 32i
Step-by-step explanation:
use the distributive property to multiply
remember: i^2 = 1
(4 - 6i)(-4 + 2i)
-16 + 8i + 24i - 12i^2
-16 + 32i - 12(- 1)
-16 + 32i +12
-4 + 32i
Answer:
4 - (6 * i)) * ((-4) + (2 * i)) =
-4 + 32 i
Step-by-step explanation:
Help thank you to who ever does I will mark brainliest.
Answers
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units
Solve each equation for 0< theta < 2pi
3-2sin theta=5
Answers
Step-by-step explanation:
3 - 2sinθ = 5
2sinθ = -2
sinθ = -1
Therefore θ = 3π/4.
Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.
Answers
Answer:
Z statistic = 1.980
Pvalue = 0.024
Step-by-step explanation:
Sample size (n) = number of paychecks = 50
Number of overtime (x) = 32
Let Number of overtime = o
Claim : Overtime work is done more than 50% of the time ;
Null hypothesis:H0: o = 0.5
Alternative hypothesis : H1: o > 0.5
Using the T84 calculator :
Selecting the 1 proportion test under the Stat menu:
p0 = 50% = 0.5
x = 32 ; n = 50 ; >p0
The z test statistic value obtained is 1.980 (3 decimal places)
The P value = 0.024 (3 decimal places)
At α = 0.05 ;
P value < α ; therefore we reject the null
Hence, overtime work is done more than 50% of the time.
Just do q1-4 and hurry...... he’s coming for me!
Answers
1.order of operations
2.12 or variable
3.error
4.Line(12¨
hope this helps
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plz help! will give brainliest! really easy!
Answers
Answer:
C
Step-by-step explanation:
I explained it in the comments of the other one
Solve for x.
2(3x – 4) + x – 1= –16
Answers
Answer:
x=-1
Step-by-step explanation:
it easy fhfhfhrbf
Answer:
-1
Step-by-step explanation:
6x-8+x-1=-16
7x-9=-16
7x=-7
x=-1
3. El Sr. López desea invertir en un préstamo de $33,000 al 2.3% de interés anual
durante cinco años, capitalizados trimestralmente. Determina la cantidad de dinero
que acumulará la cuenta a partir del capital inicial.
Answers
A: total
P: capital inicial
r: el interés anual
n: mensualmente/trimestralmente/etc.
t: después de _ años/meses/etc.
A=3300(1+(0.023/4))^4(5)
~ $37,009.63
**No sé si esta es la manera que tú lo resuelves, pero así lo aprendí yo en mi clase de matemáticas.
5,10,20,40,80 determine if the pattern illustrates geometric sequence or not..
Answers
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
.
write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.
Answers
Answer:
f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)
Step-by-step explanation: