write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
Simplify the expression:
(8 - 3)(-7) =
I
Submit
Answer:
(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21
Step-by-step explanation:
then -56+21= 77
A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)
Answer:
3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).
Carter went shopping for a new pair of pants. Sales tax where he lives is 3.75%. The
price of the pair of pants is $36. Find the total price including tax. Round to the
nearest cent.
Answer:
$37.35
Step-by-step explanation:
You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.
This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section
Answer:
area of cross section of cylinder is inch²
Step-by-step explanation:
Given : Cylinder is 7 inch tall and has a volume of inches³.
We have to find the area of cross section of cylinder.
Area of cross section of cylinder =
To find the cross section first find radius.
Given Volume of cylinder = inches³
Also , Volume of cylinder =
Thus,
Divide both side by 7, we get,
On simplifying , we get,
Since, radius has to be positive, thus neglecting negative term.
Thus, radius of cylinder = 3 inch
Thus, area of cross section of cylinder =
area of cross section of cylinder =
Thus, area of cross section of cylinder is inch²
Step-by-step explanation:
A paint store sells 4 pints of paint for $19.00. How much is one pint of paint?
Answer:
4.75
Step-by-step explanation:
19/4 = 4.75
11. Interest earned: $10
Principal: $250
Interest rate: 4%
Time: ?
I just have a test due and can’t get these !!
Answer:
hello
Step-by-step explanation:
no sé soy nuevo jajajaja
Find the measure of
answer fast pls! <3
+10pts
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°
plz help me with this
Answer:
You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employeeguys i need help on this problem I'm stuck
Answer:
y=mx+b is slope intercept form
Step-by-step explanation:
letter B :)
50 points!
a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).
b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.
c. Find the x and y-intercepts of the equation above.
Answer:
a) y = 4/3x + 26/3
b) 4x - 3y + 26 = 0
c) x-int: (-6 1/2, 0)
y-int: (0, 8 2/3)
Step-by-step explanation:
a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;
slope (m) = (6 - 2) / (-2 - -5) = 4/3
plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)
y = mx + b
6 = 4/3(-2) + b
6 = -8/3 + b
b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)
so, put it all together to get the p-s form of y = 4/3x + 26/3
b) general equation is Ax + By + C = 0
take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators
you get: 3y = 4x + 26; rearrange to get 4x - 3y + 26 = 0
c) y-intercept is (0, 8 2/3); derived during step (a)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 4/3x + 26/3
-4/3x = 26/3
cross-multiply and get 12x = -78
x = -78/12 or -39/6 or -6 1/2
What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.
Answer:
[tex] \frac{\pi^{c} }{3} [/tex]
Step-by-step explanation:
Measure of the length of an arc of a circle is given as:
[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]
What is the area of the trapezoid?
Answer:
A=78ft
Step-by-step explanation:
The area of a trapezoid is A=(a+b)/2 *h
a=long base
b=short base
h=height
For your trapezoid, it will look like this:
a=15ft
b=11ft
h=6ft
Let's add those into the equation:
A=(15+11)/2 *6
Okay, let's solve it! Using PEMDAS, we know parenthesis are first.
A=26/2 *6
Now we divide!
A=13*6
Multiply! And don't forget to add your unit.
A=78ft
CAP has vertices
C(-3,8),
A(3,-9),
and
P-1,-10).
What are the coordinates of the image of
A after the given composition of tranformations?
Dilation: center (0, 0); scale factor 5,
Translation: (x, y) (x-9,y +11).
Answer:
[tex]A'' = (6, -34)[/tex]
Step-by-step explanation:
Given (Points)
[tex]C = (-3,8)[/tex]
[tex]A = (3,-9)[/tex]
[tex]P = (-1,-10)[/tex]
Transformations:
Dilation: Center (0,0); Scale factor = 5
Translation: (x, y) --> (x-9,y +11).
Required
Determine the image of A
[tex]A = (3,-9)[/tex]
Apply the first transformation:
i.e. dilation by a scale factor of 5
[tex]A'=A * 5[/tex]
[tex]A'=(3,-9) * 5[/tex]
[tex]A'=(3* 5,-9* 5)[/tex]
[tex]A'=(15,-45)[/tex]
Apply the second transformation:
i.e. translation: (x, y) --> (x-9,y +11).
[tex]A'=(15,-45)[/tex]
[tex]A'' = (15 - 9, -45 + 11)[/tex]
[tex]A'' = (6, -34)[/tex]
Hence, the image of A is (6,-34)
Elimination method 10x-4y=-8
-5x+6y=10
I really need help quickly please!!!!
Answer:The third one is!!
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is
Answer:
290d + 245
Step-by-step explanation:
Hello! So what you do first is make two equations, then combine them.
For the food booths, the equation would be 15(4d) + 150
For the game booths, the equation would be 23(10d) + 95
Now simplify them.
Food booths: 60d + 150
Game booths: 230d + 95
Next, we combine the two equations to get one equation.
60d + 150 + 230d +95
Simplify even more...
290d + 245
This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!
answer please quick i need help i only have 3 mins left
Answer:
70/100 ⋅ 80
0.7 ⋅ 80
7/10 ⋅ 80
Step-by-step explanation:
Brainliest please??
42 out of 90 is what percentage?
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
22 points
Help ASAP Please
Given the equation y = -3x + 1 find the values for y given the value x
If x = 3 then y =
If x = -3 then y =
If x = 4 then y =
If x = -2 then y =
Answer:
If x = 3 then y = -8
If x = -3 then y = 10
If x = 4 then y = -11
If x = -2 then y = 7
What is the parallel line and slope of a perpendicular like for 3x+5y=4
Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
What is the total area of this composite figure rounded to the nearest hundredth?
29.57 mm 2
19.14 mm 2
17.57 mm 2
31.14 mm 2
Answer:
choice #4, total=31.14 mm^2
Step-by-step explanation:
14x2=28 is area of rectangle
1^2xPi=area of small circle
3.14=area of small circle
total=31.14 mm^2
.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help
Answer:
5x+32y+76
Step-by-step explanation:
First, distribute.
4 x 2x = 8x
4 x 8y = 32y
4 x 9 = 36
Then, combine like terms.
8x - 3x = 5x
36 + 40 = 76
And that leaves 5x+32y+76
What is 674.649 rounded to the nearest tenth
Answer:
674.6
Step-by-step explanation:
If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place
During flu season, 16% of the students were out with the flu. If there are 550 students in the school, how many of them were
but with the flu?
Answer:
The correct answer is 98.
The source or origin of a word is called its?
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation:
Jordan invests £2100 into his bank account.
He receives 5.1% per year simple interest.
How much will Jordan have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£4414.20
Step-by-step explanation:
Find out how much is 1% of the money invested in his bank account.
100% = 2100
1% = 2100 ÷ 100 = 21
Find out 5.1% which is his interest that he receives every year.
5.1% = 21 x 5.1 = 107.1
Find out how much he receives including interest every year.
2100 + 107.1 = 2207.1
Find out how much he will have after 2 years.
2207.1 x 2 = 4414.2
You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.
A circular pool has a radius of 10 feet. What is the area of the pool? Use 3.14 for it. The area of the pool is about ft?
Answer:
314ft^2
Step-by-step explanation:
The area of a circle is found using this equation:
A=3.14r^2
r = radius
so if we know the radius is 10ft, we can put that into the equation and it will read:
A=3.14(10)^2
^2 means squared, for clarification.
Using PEMDAS we know to do exponents first
A=3.14(100)
Now multiply
A=314
and don't forget to add your units and square!
A=314ft^2