Answer: y= -2x - 500
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.
We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.
-100 = -2(-100) + b where b is the y-intercept
-100 = 400 + b
-400 -400
b = -500
The y intercept is -500 and the slope is -2 therefore, the equation will be
y= -2x - 500
8
Write the equation of the line through the
points (-8, -2) and (-4,-3) in POINT-SLOPE
FORM
Answer:
Y=-1/4x-4
Step-by-step explanation:
To find the slope, you would need to use the equation y2-y1/x2-x1 by the coordinates. You would get -3-(-2)/-4-(-8). This would result in -1/4. Now that you have your slope, you plug in one of the coordinates. If you used (-8,-2), you would get -2=-8(-1/4)+b. Simplify the equation to get -2=2+b, which simplifies to -4=b, and b is the y intercept.
HELP ASAP!!!! simplify 3^2-4/5
Answer:
9-4/5
5/5 = 1
Step-by-step explanation:
Answer:
1
9-4/5 is equal to 5/5 which is equal to 1
2. Find the distance between (-2,1) and (3,4).
Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60
Rick invest $5,830 into a retirement saving account. The account compounds at 3.2% monthly for. How much money will Rick have in 4 years? Show work. Use comma and dollar signs in the final answer.
Answer:
$746.24
Step-by-step explanation:
3.2/100 = 0.032
5,830 X 4 = 23,320
23,320 X 0.032 = 746.24
An AutoCAD drawing has a scale of inches to 3 ft. If a piece of a bridge measures 17 feet, how long is that piece in the AutoCAD printout?
Answer:
D
Step-by-step explanation:
Answer:
2.83 inches
Step-by-step explanation:
Let y equal the length of the drawing in inches. Use a proportion to solve for the missing length.
3. f(x) = x2 + 4x - 2
Answer:
f(x)= -(x-2)^2+2
Step-by-step explanation:
the same valuve needs the be added to both sides
f(x)+?= -x^2+4x+?-2
to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression
f(x)+?= -x^2+4x-4-2
since -4 was added to the right side, also add -4 the the left side
f(x)-4= -x^2+4x+?-2
now factor out the negative sign from the expression
f(x)-4= -(x^2-4x+4)-2
using a^2-ab+b^2=(a-b)^2
f(x)-4= -(x-2)^2-2
move the constant the the right side and change its sign
f(x)= -(x-2)^2-2+4
now calculate the sum
f(x)= -(x-2)^2+2
Astronomers treat the number of stars X in a given volume of space as Poisson random variable. The density of stars in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light-years, on average. NOTE: Light-years is a distance measure. 7. What is the probability of exactly two stars in 16 cubic light-years? 8. What is the probability of three or more stars in 16 cubic light-years? 9. How many stars would be expected in 4 cubic light years? 10. How many stars would be expected in t cubic light years? 11. How many cubic light-years of space must be studied so that the probability of one or more stars exceeds 0.95? HINT: let `t' represent the unknown region of space, then nd the `t' that gives you the relevant probability.
Answer:
Explained below.
Step-by-step explanation:
The random variable X is defined as the number of stars in a given volume of space.
[tex]X\sim \text{Poisson}\ (\lambda=1)[/tex]
The probability mass function of X is:
[tex]p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}[/tex]
(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:
[tex]P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184[/tex]
(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:
[tex]P(X\geq 3)=1-P(X<3)\\\\=1-P(X=0)-P(X=1)-P(X=2)\\\\=1-\sum\limits^{2}_{x=0}[\frac{e^{-1}\times 1^{x}}{x!}]\\\\=1-0.36788-0.36788-0.18394\\\\=0.0803[/tex]
(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in t cubic light years there will be, [t × (1/16)] stars.
h(x)=x^2-4x-12 in factored form?
k(x)=x^2-4x+8 in factored form?
Answer:
h(x) = (x-6)(x+2)
k(x) is not further factorable
Step-by-step explanation:
h(x) = x²-4x-12
= (x-6)(x+2)
k(x) = x²-4x+8
not further factorable
Please help!!!! I'll give you 15 points!!
Step-by-step explanation:
the answer is C
2/5(2x+3)
I hope it helps
The total sales tax in a certain city is 8.75%. The state sales tax rate is 7.25%, and the county adds an additional sales tax of 0.5%. How much in sales tax is added by the city?
a.) 0.1%
b.) 0.25%
c.) 1%
d.) 2.5%
Answer:
C.1%
Step-by-step explanation:
Solve.
2x + 4 3
B) x < 3
B) x 1/3
D) x < 1/3
Answer:
c
Step-by-step explanation:
I need help with 35-38 please!!!
Answer:
-3
Step-by-step explanation:
Please help being timed for test !
Last week's and this week's low temperatures are shown in the table below.
Low Temperatures for 5 Days This Week and Last Week
Low Temperatures
This Week (F)
4 10 6 9
Low Temperatures
Last Week (OF)
13 9 5 8
6
5
Which measures of center or variability are greater than 5 degrees? Select three choices
the mean of this week's temperatures
the mean of last week's temperatures
the range of this week's temperatures
the mean absolute deviation of this week's temperatures
the mean absolute deviation of last week's temperatures
Answer:
I think it B or C but hope I can help :)
Step-by-step explanation:
What is five times the difference of a number and three?
Btw I need answer immediately
Answer:
t=x+3
y = (x+3)^2 + 5
y = x^2+6x + 9 + 5
y= x^2 + 6x + 14
Answer:
5 times x-3?
Step-by-step explanation:
Sorry if its wrong i didn't really understand what you wanted.
Is Triangle B a rotation of Triangle A?
Explain How u know
Answer:
No, triangle B is a reflection of triangle A.
Step-by-step explanation:
The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.
Answer:
No
Step-by-step explanation:
Its a reflection because even if you did rotate it it would never be in that orientation.
7.5 more than the quotient of h and 3 is w
Answer: h/3 + 7.5 = w
what is -1 as a decimal
Answer:
-1.0
Step-by-step explanation:
At sunrise on monday the temperature in new haven, ct is -5f. By noon the temperature is 14 degrees warker and by sunset the temperature is 9 degrees colder than it was noon
Answer:
0 degrees faranhiet
Step-by-step explanation:
when you add 14 and -5 you get 9 then the question says 9 degrees cooler so that would translate to the problem 9 - 9 which you get zero.
I need these graphed, they’re easy but I don’t have time to do them since it’s late. Excuse the bad handwriting
Answer:
For #5 all you have to do is set down to points in order for it to count. The answer is: (0,2) and (3,6)
Step-by-step explanation:
In order to find where exactly you must plot the points, we plug in what we know. In our equation, the 2 is our y intercept, this means that the point is (0,2) (Side Note: here's another example, (0,6) the 6 would be our y intercept)
From the point (0,2) we use the other value given. The other value given in this case, is our slope. When dealing with slope, we use Rise over Run or Rise/Run. This means that from the 2 on the graph, you rise 3 which would be 5 and you run to the right for 4. This now gets you the points (3,6)
Hope this helps with plotting the other questions! :)
(SIDE NOTE: IF THEY GIVE THE VALUE WITH X AS JUST A NUMBER, YOU CAN PLACE A 1 UNDER IT TO TURN IT INTO A FRACTION. FOR EXAMPLE 3X CAN BE TURNED INTO 3/1 WHICH WOULD THEN BE RISE 3 AND RUN 1.
(sooory about the caps, it's just to get your attention.)
find the original price given the total amount and the tip rate if the total amount is $51.84 and the tip is 20%
Answer: $41.472 or $41.50
Step by step solving: First convert 20% to a decimal which is .20 now multiply that by $51.84 which equals 10.368 now subtract that number from 51.84 which equals 41.472
If you are allowed to round to the nearest hundreth then that would be $41.50 before the tip.
I can't find the answer
Answer: what grade is this
Step-by-step explanation:
how many decimal places would the answer have when you find the product of 43.09281×5.092?
Answer:
219.42858852
Step-by-step explanation:
What is the slope of the line through the points (-4, 2) and (-16, -6)
Answer:
[tex]m = \frac{2}{3}[/tex]
Step-by-step explanation:
Use the following equation:
slope [tex](m) = \frac{y^2 - y^1}{x^2 - x^1}[/tex]
Set the variables with the points:
[tex](x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\[/tex]
Plug in the corresponding numbers to the corresponding variables in the equation:
[tex]m = \frac{2 - (-6)}{-4 - (-16)}[/tex]
[tex]m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}[/tex]
slope [tex]m = \frac{8}{12}[/tex] [tex]= \frac{2}{3}[/tex] (simplified)
~
Answer:
2/3
Step-by-step explanation:
i need help on this stuck on it
Answer:
5=148 and 8=32
Step-by-step explanation:
For this equation we know since the lines are parelle that they will produce the same angle degrees.
so 2,4,6,and 8 are all 32
if we subtract 180 (the dregree of a stright line) from 32 we get 148
so 148 is for 1,3,5, and 7
Adding/Subtracting Rational Expressions
9514 1404 393
Answer:
(4x^2 +21x +18)/(3x^2 +34x -24)
Step-by-step explanation:
I find it helpful to keep in mind the form ...
a/b + c/d = (ad +bc)/(bd)
When we apply that to this case, we get ...
[tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]
The graph of y = -3x + 4 is:
Answer:
(0,4)
Step-by-step explanation:
what is the product of (2/5x-3/4y^2) and (2/5x+3/4y^2)?
Answer:
[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]
Step-by-step explanation:
(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]
Referring to the methods for calculating average atomic mass, which one is 'incorrect' ?
Mary
Jack
Alan
Alan's method is correct coz to find we add all the given value and divide by the numbers present
Mary has 96 muffins which she needs to box up, 5 of which are blueberry, into dozens. How many boxes dose he need
Answer:
8
Step-by-step explanation:
Mary needs 8 boxes to put 96 muffins in dozens so 96÷12 gives you 8