Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
A- they are parallel because they have equal slopes.
help me please with this question
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo?
Answer: ion know i'm guessing 4
Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there
Answer: It would be 20
Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D
Answer:
Points B and C are opposite
Step-by-step explanation:
0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.
Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left
Answer:
b and c are opposites
Step-by-step explanation:
other guy was right
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
Answer:
78
Step-by-step explanation:
5,644 divided by 9 = 627
5,644 divided by 8 = 705
705 - 627 = 78
Hope this helps
mark brainliest please
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
The sum of 5 times a number and -6 is 2
How should I write that?
Answer:
5x-6=2
Step-by-step explanation:
But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all-made no impression on the man.
What can you infer about the man from the excerpt above?
Answer:huh
Step-by-step explanation:
[tex]log_{9}log_{2}log_{2}256[/tex]
Answer:
I hope it will help you...
slope of points (-11,5), (-6,0)
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!
A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.
Answer:
Step-by-step explanation:
40 ft - 40 ft = 0
On sea level
PLEASEEEE HELPPPPPPP ASAPPPPP
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
Number 2. x>-1
Step-by-step explanation:
4(3x+2) is 12x+8. 12x+8-6 is 12x+2.
12x+2>8+2(x-8)
2(x-8) is 2x-16. 2x-16+8 is 2x-8.
12x+2>2x-8
12x>2x-10
10x>-10
x>-1
PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return
Answer:
Carlos rode further than on Saturday by 107/56 miles.
Step-by-step explanation:
i did the quiz lol
Answer:
Its D
Step-by-step explanation:
I took the test and got it right.
Need ASAP
....................
Answer:10/15
Step-by-step explanation:10 divided by 5=2
15 divided by 5=3 in words 10/15 is simplified to 2/3
trying this again not sure if it went through the first time
The picture is really blurry for me. I can't read it...
In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Read more:
https://brainly.com/question/1766663
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE
Answer:
one min
Step-by-step explanation:
Answer: 2 minutes
20/10=2
What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6
Answer:
y = 2x + 16
Step-by-step explanation:
slope is parallel and equal to y = 2x + 6
y intercept = 16
Answer:
b - y=2x+16
Step-by-step explanation:
y=y1+m(x+x1)
(-4,8)
y=8+2(x-4)
y=8+2x-8
add 8 on both sides
y=2x+16
Pls Help.!!
Find the areas of the following: A square with a width and height equal to 5 feet.
Answer:
A = 25 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
A square has all equal sides and anglesArea of a Square: A = x²Step-by-step explanation:
Step 1: Define
x = 5 ft
Step 2: Find Area
Substitute in x: A = (5 ft)²Evaluate: A = 25 ft²13-715x=130x
show work plzz
Answer:
Solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]13-715x=130x[/tex]
Combining like terms and solving
[tex]13-715x=130x\\Adding \ 715x \ on \ both \ sides:\\13-715x+715x=130x+715x\\13=845x\\Divide \ both \ sides \ by \ 845\\\frac{13}{845}=\frac{845x}{845}\\=>x= \frac{1}{65}[/tex]
So, solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]