Step-by-step explanation:
Given
y = - 8 /5 x + 2
Comparing the given equation with y = mx + c
slope (m) = - 8/5
Hope it will help :)
Answer:
-8/5
Explanation:
The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.
In slope intercept, the slope is always the number that comes before x.
In the equation y = -8/5x + 2, that number is -8/5.
Hence, the answer is -8/5.
Can anybody help me please? it’s a major and i’m very confused.
The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width
Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.
Step-by-step explanation:
Step 1
The perimeter of a rectangular atrium is given as 2( l+b)
The perimeter of a rectangular atrium is 300 yards.
Let the width be represented as x
such that the
The length of the garden which is ninety-six yards more than the width is expressed as x+ 96
and the expression to solve for length and width will now be
Step 2
Perimeter = 2(l+b) = 2l + 2b
300=2( x+96) + 2 x
300= 2x+ 192 + 2x
300= 192+ 4x
300-192=4x
108=4x
x=108/4
x=27
width = 27 yards
length = x+ 96= 27 +96=123 yards
please help. i will give brainliest
the question is in the picture below
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Answer:
B. The y-intercept is located at (0,70)
Step-by-step explanation:
This is because 70 is on the y part of table. Hope this helps!
The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?
The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?
Oranges (lb) Price ($)
2--------- $3
3--------- $4.50
5--------- $7.50
Answer:
proportional relationship. Exist
Step-by-step explanation:
To check for propottionality:
2 = 3k
Solve for k = constant of proportionality
2/3 = 3k/3
2/3 = k
Quantity at price = 4.50
Price * k = quantity
4.50 * 2/3 = 3
Quantity at price = 7.50
Price * k = quantity
7.50 * 2/3 = 5
Hence, proportional relationship. Exist
Find all x-values for which f ( x ) = 2 for the function below.
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) }
how would i solve this please help
Answer:
x = -3Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
For more about the equation,
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[tex]4x\leq 12[/tex]
Divide each term by
4
and simplify.
Inequality Form:
r ≤ 3
Interval Notation:
( − ∞ , 3 ]
4x-4=4x + ___
What is the answer
Answer:
-4
Step-by-step explanation:
4x - 4 = 4x + ?
-4
4x - 4 = 4x + (-4) ---> 4x - 4 = 4x - 4
done
Answer:
it should just be-4
HELPPPPP HELLPPPPPP Plsss
Answer:
1) -5
2) 21
3) 60
4) -52
5) -12
6) 31
7) -16
8) -27
9) 5
10) -11
11) 16
12) -24
13) 11
14) -36
15) 2
16) 36
17) -31
18) -48
19) -24
20) -21
Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.
A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes
Answer:
$44
Step-by-step explanation:
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
4(x + 3) = 3(3x - 1)
Answer:
Either 4x+12 ≠ 9x-3 OR x = 3
Hope this helps!! (Please mark Brainliest if possible!!)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]4(x+3)=3(3x-1)[/tex]
Distribute 4 and 3 into the parentheses
[tex]4x+12=9x-3[/tex]
Combine like terms; subtract both sides by 12
[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]
Combine like terms; subtract both sides by 9x
[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]
Divide both sides by -5 to isolate x
[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]
I hope this helps!
Graph the image of rectangle STUV after a reflection over the line y= –x
Answer:
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Step-by-step explanation:
The image of the rectangle STUV after a reflection over the line y= –x is attached below.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)
We have to graph the image of the rectangle STUV after a reflection over the line y= –x
The points obtained after graphing ate,
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.
Learn more about the geometric transformation here:
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X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?
Answer: 1 4/5 feet
Step-by-step explanation:
Length of the strip of yellow paper = 9 feet.
Number of streamers that were cut = 5
Length of each streamer will then be:
= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut
= 9 feet / 5
= 1 4/5 feet
The Hiking Club is taking another trip. The hike leader's watch shows that they gained
296 feet in altitude from their starting position. Their altitude is now 285 feet, but there is
no record of their starting altitude,
Which equation represents this situation?
A: x + 285 = 296
B: x - 296 = -285
C: x + 296 = 285
D: x- 285 = - 296
Anyone available I been trying to get the answer for this assignment :(
Answer:
c
Step-by-step explanation:
they started at x added 296 and now are at 285
Answer:
-987
Step-by-step explanation:
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
Will give Brainly! Please help!
Answer:
The answer is option c.
Hope this helps!
How do I solve? Or what is the answer for this?
Notice that the square root is accompanied with ^2 and can be simplified:
This works because 4x^4 = (2x^2)^2
[tex]\sqrt{(2x^{2})^{2} * (256y^{8})^{2} }[/tex]
Remove the square root:
[tex]2x^{2} (256y^{8} )[/tex]
Calculate the product:
[tex]512x^{2} y^{8}[/tex]
This is your answer after simplification.
You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.
If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.
Answer:
200,000 feet to dig
Step-by-step explanation:
We use a ratio for this problem
30,000 200,000,000
----------- = ---------------------
30 x
200,000,000 * 30
---------------------------- = 200,000 feet to dig
30,000
This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.
What’s the radius of a circle with the circumference of 37.68 feet
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
pls mark as brainliest
7.1 added to a number equals 10.3?
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
The pool is partially filled with water. The volume of the water in the pool is 45 ft3. How deep is the
water?
A.)0.5 ft
B.)1.5 ft
C.)2.5 ft
D.)3.5 ft
C.)2.5 ft
it's just a guess
Solve for the volume of the 3D shape.
27 m3
27
180 m3
180m
360 m3
360 m
Answer:
360 m3
Step-by-step explanation: just multiply 18m times 5m times 4 m then you get your answer :)
hope this helps :D
Answer:
360 m3
Step-by-step explanation:
Make the other guy brainlist cuz he helped me. :p
Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.
Answer: This is a CRQ so you will want to answer using R.A.C.E
Step-by-step explanation:
First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."
Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.
But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.
Now you have the total for how much hourly guy will make in a whole year.
Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!
.............................................................................
Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)
.............................................................................
Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.
However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)
Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.
Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.
Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?
Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.
Good luck! send me an email for more help.
Mrs. B
If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?
Answer:
sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]
Step-by-step explanation:
Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the third side, the adjacent is found using Pythagoras' identity, that is
adj² + opp² = hyp²
adj² + 2² = 5²
adj² + 4 = 25 ( subtract 4 from both sides )
adj² = 21 ( take the square root of both sides )
adj = [tex]\sqrt{21}[/tex] , then
cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]
Using the double angle identity
sin2x = 2sinxcosx
= 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]
= [tex]\frac{4\sqrt{21} }{25}[/tex]
el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
5/6 + 9.25
A) Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.
B) Irrational; Both numbers can be written as fractions, so the answer will be a fraction, which is an irrational number.
C) Rational; One number is a fraction and the other is a decimal, so they are not like terms and cannot be combined.
Answer:A
Step-by-step explanation:
Edge 2020
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answer:
g5654
Step-by-step explanation: