Answer:
-1/2-5/655/3-1/4-23/4-5/34-3/5Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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Find the slope of the line.
A. -1/6
B. 1/6
C. -6
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which describes the spread of the data in the two box plots?
The data in shelter A show more spread than the data in shelter B.
The data in shelter B show more spread than the data in shelter A.
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20.
The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.
Answer:
The data in shelter A shows more spread than the data in shelter B
-And-
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20
For the range/span you look at where the actual box lies and for the spread use the whisker span.
Mica bought a sandwich for $1.50, a soda for 50c,and candy for 75c.How's much did he spend on lunch?___
Answer:
$ 2.75
Step-by-step explanation:
$1.50+.50+.75=2.75
Answer:
$2:75 she spend for lunch lonche
A music store buys instruments and then sells them for 30% more than they paid.
If the store buys a guitar for 45, what will the store sell it for?
2 and 1/3 converted to a decimal by long division
Answer:
3.33
Step-by-step explanation:
the long division is supposed to be 7 on the outside and a 3 on the inside to start. youre supposed to use the mixed number (7/3)
Mrs. Taylor buys a sofa set for $2280 including sales tax. The sales tax is 14%. What is the price of the sofa set excluding the sales tax?
Answer:
$2,000
Step-by-step explanation:
you do 2,280 divided by 1.14 to get 2000
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Factor 18x - 36
What is the GCF?
Answer:
GCF is 18 and Factor is: 18(x-2)
Step-by-step explanation:
To Factor 18x-36, you want to find the GCF. So the GCF here is 18. So let's spilt 18 out of each term.
18x+18(-2)
18(x-2)
So the factoring answer is 18(x-2)
The GCF is 18.
Answer:18
Step-by-step explanation:
the GCF is 18.
How many minutes are in 6 hours and 12 minutes? There are 60 minutes in an hour
Answer:
372
Just multiply 60 by 6 then add 12
:)
Step-by-step explanation:
The total perimeter of an L-shaped field is 800 feet. The longest side is 300 feet, and the longest width is 100 feet. The shorter sides are 50 feet and 50 feet respectively. The total area of the field is
a) 22,500 square feet
b) 30,000 square feet
c) 17,000 square feet
d) 45,000 square feet
7th grade math I'll give brainliest
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
\(\implies\rm y \propto \dfrac{1}{x^2}\)
Let k be the constant . Therefore ,
\(\implies\rm y = k \dfrac{1}{x^2}\)
When y = 1.5 and x = 8 :-
Plug in the respective values ,\(\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96\)
When x = 5 :-
\(\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }\)
Answer: 3.84
hope it helped!
Pls help i will give you brainliest if correct!
Answer:
Hey bro! its 15x-55
Step-by-step explanation:
hope this helps dawg
i need help!! ASAP! I will mark brainliest
Answer:
Step-by-step explanation:
8x10^7
10^7 = 10,000,000
10 million times 8 = 80,000,000
5x10^5
10^5 = 100,000
100 thousand times 5 = 500,000
80,000,000 minus 500,000 = 75,000,000
so the distance from mason to chloe is 75,000,000 times greater than mason to kevin
i hope this was good, if it's not exactly what you need lemme know ^^
Answer the following questions with the chart below.
Q1) What is the total amount of the negative balances?
[]
Q2) What is the total amount of the positive balances?
[]
Q3) How much more money is in account C than E?
A: $43.86
B: $64.36
C: $36.86
D: $129.86
Q4) If accounts B and A are combined, then what will be the account balance?
A: $-19.00
B $75.84
C: $-28.16
D: $37.84
Answer:
Q1)$-95.75
Q2)$140.20
Q3)D
Q4)D
Answer:
Q1- total amount of negative balances: -95.75
Q2- Total amount of positive balances: 140.2
Q3- D:129.86
Q4- D: 37.84
Step-by-step explanation:
Q1- Add up all the negative numbers: (-19.00)+(-30.25)+(-46.50). this turns into: -19.00-30.25-46.50= -95.75
Q2- Add up all the positive numbers: 56.84+83.36= 140.20
Q3- use one of the numbers that were given to you and subtract account E from it and you should get the amount in account C. In this case we use $129.86.
So 129.86-46.50= 83.36
Q4- Add up both accounts. Account B is a negative amount and account A is a positive amount, we do -B+A
-19.00+56.84= 37.84
I will write the steps to solve a one-variable, two-step equation and inequality.
(what kind of circle would you have if you had to graph the inequality)
3x + 4 = 13
2x - 4 > 12
There are three parts to this question.
Answer:
open circle
Step-by-step explanation:
open circle is greater than < and less than > and closed circle are the ones with the line under the symbol
Forgot to add attachment :'> ight 7th grade math 25 points each thank you
Answer:
Option A, -7 and -5. is the answer
HELP PLEASE, BRAINLIEST IF CORRECTTT Rewrite each equation without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5|, if x<-2
Answer:
1. y=|x−3|+|x+2|−|x−5|, if -2<x< 3 = x
2. y=|x−5|+|x+5|, if x>5 = 2x
3. y=|x−5|+|x+5|, if x<−5 = -2x
4. y=|x−5|+|x+5|, if −5<x<5 = 10
Modulus value means it always gives positive value. Therefore,
Step-by-step explanation:
if x < a, then |x - a| is positive when |x - a | = a -x, which is positive as a is larger than x.
and if x >a, then |x-a| is positive when |x-a| = x - a, which is positive as a is smaller than x.
Applying the same,
(1) for -2 < x < 3,
|x - 3 | = 3 - x, as x <3
| x + 2 | = | x - (-2)| = x - (-2) = x+2 as x> -2
| x - 5 | = 5 -x , as x < 5
therefore, y = |x−3|+|x+2|−|x−5| = 3 - x + x + 2 - (5 - x) = x
(2) for x > 5,
|x - 5|= x - 5
|x + 5| = | x - (-5)| = x + 5
therefore y = x - 5 + x + 5 = 2x
(3) for x < -5,
|x - 5| = 5 - x
|x + 5| = |x - (-5)| = -5-x
therefore y = 5 - x + -5 -x = -2x
(4) for -5< x < 5,
|x -5| = 5 - x
|x +5| = x + 5
y = 5 - x + x + 5 = 10
How to find slope intercept form with the equation
y = 2
Answer:
slope=0, y-intercept=2
Step-by-step explanation:
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Can someone please help me asap!
Find the length of the third side. If necessary, round to the nearest tenth.
Answer the question in the picture!
1 - x = 3
2 - b = 7
3 - y = -2
4 - c = 3
Math question someone pls explain how to answer it I am stuck pt.2
20 it's because you will take the w (width) and l (length) which is w=5
and l=4 and the answer is l x w so 5 x 4 = 20
Can someone help, please
Answer:
Y=8x+9
Step-by-step explanation:
* ANSWER PLS * Convert 55° to radians.
Answer:
11*pi/36
Step-by-step explanation:
\(\displaystyle \frac{55 \pi}{180}\)
\(=\displaystyle \frac{11\pi }{36}\)
Which product is negative? will mark brainliest