Step-by-step explanation:
y=(3/2)x +8
that is the answer
The equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The line that passes through (-8, - 4 ) and ( -6, - 1)
The standard form of the line in slope-intercept form:
y = mx + c
Here m is the slope of the line
c is the y-intercept.
As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]
m = 3/2
y = (3/2)x + c
Plug x = -8, y = -4
-4 = (3/2)(-8) + c
c = 8
y = (3/2)x + 8
Thus, the equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
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Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
Which angles are corresponding angles?
Answer:
OPN and QPS are corresponding angles
Solve for X in the questions
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2
A polygon is shown on the graph:
A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.
What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
9514 1404 393
Answer:
angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.
Step-by-step explanation:
The proposed transformation is ...
(x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down
Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.
__
The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.
Answer: goood answer
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT, I’D BE SO THANKFUL
Sorry I ain’t know why it look like that buh can someone help asap
Answer:
[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]
100min to 2h as a ratio
Answer:
100:2
Step-by-step explanation:
A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1
Answer:
3
Step-by-step explanation:
27300 * (1-6.1%)^n = 22100,
n∈(3,4)
when n = 3,≈22603;
when n = 4,≈21224;
so choose n = 3.
Therefore, it takes car to depreciate to this amount is [tex]3[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].
So, the equation is
[tex]27300(1-6.1)^n=22100\\\\[/tex]
when [tex]n[/tex] belongs to [tex](3,4)[/tex]
when [tex]n=3\\[/tex]
The equation would be
[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]
When
[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]
So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].
Hence, it takes car to depreciate to this amount is [tex]3[/tex].
To know more about the simplification
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jim dog eats 11/3 bones in five days how many bones will the dog eat in 12 days
Answer:
The answer would be 44
Step-by-step explanation:
First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!
how do you solve -5=4x-8
Answer:
3.25=x
Step-by-step explanation:
start with -5=4x+8
subtract 8 from each side to get:
-13=4x
divide each side by 4 to get your answer:
-3.25=x-
Answer:
[tex]x = - 3.25[/tex]
Step-by-step explanation:
-5 = 4x + 8
-5 - 8 = 4x + 8 - 8
-5 + (-8) = 4x
-13/4 = 4x/4
Therefore, x = -3.25
-5 + (-8) = 4x
Same Change Change (SCC) rule for integers was applied here.
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT
Answer:
c hope this helps
Step-by-step explanation:
Answer:
The correct answer should be C.
if x =6 + y and 4x = 3 -2y, then x=
Answer:
x = 5/2 or 2.5
Step-by-step explanation:
I solved this using simultaneous equations or system of equations
You times (1) by 2 so that the y's are the same
You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them
When you divide two fractions is the quotient always smaller than the dividend?
A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.
Three consecutive integers have a sum of 45. Find the integers.
Answer:
14,15,16
Step-by-step explanation:
Call n the first integer so you get:
n+(n+1)+(n+2)=45
3n+3=45
3n=42
n=14
The integers are:
14,15,16
Answer:
14,15,16
Step-by-step explanation:
Let the integers be x, (x+1),(x+2)
So,
x+(x+1)+(x+2)=45
x+x+1+x+2=45
3x+3=45
3x=45-3
x= 42/3
x=14
Now put the value.
x= 14(x+1)= 14+1= 15(x+2)=14+2= 16Now, Add these integers
you'll get
14+15+16=45
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
Please help!
Triangle ABC has angle measures as shown. Show work. Complete sentence.
(a) What is the value of x?
(b) What is the measure of angle CBA?
(c) What is the measure of angle CAB?
(d) When these 3 interior angles of a triangle are added together, what does it equal?
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Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
(a)The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
__
(b)∠CBA = (3x -20)° = (3·22 -20)° = 46°
__
(c)∠CAB = 2x° = 2(22)° = 44°
__
(d)The sum of a triangle's interior angles is 180°.
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
Answer:
-96 cents
Step-by-step explanation:
(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46. That is your expected win?
Expected Win =
(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =
(1/10)(1/10)(1/10)(394.46) - 1.35 =
0.39446 - 1.35 =
-0.95554 =
-96 cents, rounded to the nearest cent
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?
The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = (2x + 4 1/4) inches
Perimeter of the r ug = 56 1/2 inches
Perimeter of the r ug = 2(length + width)
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
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The. Problem I in the picture
Answer:
can't see it clearly sorry about that
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
A model of a population of a small country is 35,000(1.03)^x. Find the current population if x equals four years since the last census.
Based on the model of the population and the amount of years that have passed, the current population is 39,393 people.
The model of the population is:
= 35,000 x (1.03)^ x
If x is 4 years, slot this into the model to get:
= 35,000 x 1.03⁴
= 35,000 x 1.12550881
= 39,393 people
In conclusion, the current population is 39,393 people.
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What is the domain of y=log 4(x+3)?
Answer:
Y= log 4(x+3)
then you should do (x+3)= 3x= log 4.
Step-by-step explanation: Sorry I'm not 100 % sure so yeah
But let's see 3x = log 4
oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.
So now I think it's C). All real numbers are les than 3.
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
f(x) = 2x + 1
Graph 2f(x) - 3
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2
x- intercept [tex](-\frac{1}{2}),0[/tex]
y-intercept: ( 0 , 1 )
Graph in pic
(Credit: M a t h w a y
Need help with math problem
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
6 miles in 2 hours how fast you go
What are the two cases for 丨4x - 1丨= 19?
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5 and -17/4
Step-by-step explanation:
The two equations for 丨4x - 1丨= 19 is
4x-1=19
and
4x-1=-19
So for 4x-1=19
4x=20
x=5
4x-1=-18
4x=-17
x=17/4
Hope this helps!