What is the x-intercept of the line with this equation
8x-1/3y=16
Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
You find the x-intercept by setting y=0 and solving for x.
8x -1/3(0) = 16
8x = 16
x = 16/8 = 2
The x-intercept is 2.
_____
Additional comment
As you can see, the x-intercept is the ratio of the constant to the x-coefficient. The same is true for the y-intercept. It is 16/(-1/3) = -48.
Related Questions
Enlarge triangle ABC by scale factor -2, centre (4,2)
Answers
Answer:
see attached
Step-by-step explanation:
The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.
For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).
C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).
A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).
PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS
Answers
Answer:
I : 5x + 7
M: 49x - 20
Y: [tex]x^{2}[/tex] + x + 5
P: 4x + y + 4
L: 2[tex]x^{2}[/tex] + 4x
F: -30x + 33
I: 51x - 65
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
A group of 3 adults and 10 children bought tickets to watch a dance performance.Each adult ticket cost $7 more than each child ticket.The group paid a total of $125.Find the child ticket cost.
Answers
Answer:
8$
Step-by-step explanation:
A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?
Answers
Answer:
Yes
Step-by-step explanation: All of these winnings become part of his gross income.
A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.
$346,352 < μ < $485,554
$295,433 < μ < $536,473
$272,355 < μ < $559,551
$415,952 < μ < $415,954
Answers
Answer:
ci = [271,953 , 559,953]
Step-by-step explanation:
x = mean: $415953
z = 95% : z value of 95% is 1.960
s = standard deviation = $463364
n = number of observations: 40
X +- Z * S/sqrt N
415953 + - 1.96 * 463364/sqrt40
= 415953 + - 144000
[271,953 , 559,953]
Answer:
$272,355 <μ< $559,551
Step-by-step explanation:
Gradpoint
American society is made up of people of the same cultural background.
Please select the best answer from the choices provided
T
F
Answers
Answer:
false
Step-by-step explanation:
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answers
Answer:
5
Step-by-step explanation:
Start with 9. Then do the opposite operation starting from the end.
9
√9 = 3
3 - 1 = 2
2 × 6 = 12
12 - 7 = 5
Answer: 5
if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c
Answers
Answer:
a:c= 3/5 = 0.6
a:b:c= 3/4/5=0.15
some one please
change the subject to x
a+b/x=r
Answers
A+b/r = x
Cbcddhdmghn
Answer:
X = b(r - a)
Step-by-step explanation:
b/x = r - a
X = b( r - a)
PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS
Answers
Answer:
1.the first one is the distance from home
2. is 91
3.increases by 91 i belive tht should be correct
Step-by-step explanation:
Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?
Answers
Answer:
610
Step-by-step explanation:
Multiply the monthly $40 by the 9 months
(40 times 9 = 360)
Then you would need to add in the original $250 deposit money
(360 + 250 = 610)
Which of the following is equivalent to 16 3/2
Answers
Answer:
b is the answer because I don't know what to do with it and
Help me please!! it's due today
Answers
Answer:
the answer would be 14-16=-2
Step-by-step explanation:
first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer
Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answers
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h[tex]2[/tex] b[tex]\2[/tex])/2
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answers
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
help pls ! i need to do this and i cannot figure this out
Answers
With them being similar I noticed the bigger triangle is 18 and the second is 12. So the smaller triangle was shrink by 1/3 which give 1he 12 for the bigger triangle you take 1/3 away in which your left with 8.
Plzzzzz help meeeeeeee plzzzzz
Answers
Answer:
1) The profit made is $560.
2) Don't know sorry!!
3) A student will pay $1134 for a calculator.
Step-by-step explanation:
what is an estimate for the square root of -93
Answers
Answer:
approximately 9.64Step-by-step explanation:
The square root of 93 is approximately 9.64.
Answer:
9.3 or 9.4Step-by-step explanation:
We need to estimate √93.
Use formula below:
[tex]\sqrt{x^2+y} =x +(x/2y)[/tex]or
[tex]\sqrt{x^2-y} =x -(x/2y)[/tex]In the given case the formula works as:
[tex]\sqrt{93} =\sqrt{9^2+12} =9+(9/2*12) = 9+(9/24)=9.4[/tex]or
[tex]\sqrt{93}=\sqrt{10^2-7} =10-(10/2*7)=10 - 5/7 = 9.3[/tex]1. 4x^2 +3x+2 and 7x^2+7x+3
Answers
Answer:
-x2 + 9x - 15
—————————————
3
Step-by-step explanation:
-x2 + 9x - 15
—————————————
3
I need a helping hand please
Joseph compared the graphs of two functions.
The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer:
There is no separation (distance) between the first y-intercept (6) and the second (6).
Step-by-step explanation:
We'll assume that the table shows points on a straight line.
If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12). Thus, the slope of the line represented by the table is
m = rise / run = -12/6, or m = -2.
We need to find the equation of the line represented by the table, so that we can know the y-intercept. Start with y = mx + b and substitute -2 for m:
y = -2x + b. We arbitrarily choose an ordered pair from the table, such as (11, -16). Here we substitute 11 for x and -16 for y:
-16 = -2(11) + b, or
-16 = -22 + b, which yields b = 6.
This is the same y-intercept as the '6' in the given f(x) = -2x + 6. So: There is no separation (distance) between the first y-intercept (6) and the second (6).
Can you explain how to solve this problem, already know the answer
Answers
So, the slope is -3/5, and the y axis is unidentified.
A point is located at (6,-5). We will use this point.
In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.
We will also use 6 from the point to give us a dot in the x-coordinate.
We will then divide 5 from the 6 to give us how much we have to go up or down
6/5
We will then use the -3 in the slope.
We will times -3 to the 6/5 in order to know how much we have go up or down.
-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)
y = -3/5x + 1 2/5
The y = 13, we will plug it in the equation.
13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)
11 3/5 = -3/5x (times 5 on both sides)
-3x = 58 (divide -3 on both sides)
x = -58/3
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answers
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
Ezra and Benji are playing the game with Harrison. After Ezra doubles his hand's value, he has a total of -12.5 points. What was his hand's value before
he doubled it?
Answers
half of -12.5 is -6.25
question is in picture
Answers
55 isosceles
60 isosceles.
f(x) = 2(x − 2)2 + 3
Answers
Answer:
4x-5
Step-by-step explanation:
the answer is 4x-5 as we apply multiplication and subtraction
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?
I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!
Answers
Answer: $48
Step-by-step explanation:
132 - 84 = 48
(X-7)squared
Expand and simplify
Answers
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab +b²
(x - 7)² =x² - 2* x * 7 + 7²
= x² - 14x + 49
(x-4)^2-(x-4)(x+3)=35
Answers
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
(x -4)² - (x - 4)(x +3) = 35
x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35
x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35
x² - 8x +16 - [ x² -x - 12] = 35
x² - 8x + 16 -x² + x + 12 = 35
x² - x² - 8x + x + 16 + 12 = 35 {Combine like terms}
-7x + 28 = 35
-7x = 35 -28
-7x = 7
x = 7/-7
x = -1
Pls help me with this!!
Answers
Answer:
76 quarters, 3 dimes
Step-by-step explanation:
if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents
Answer:
66 Quarters and 28 dimes
Step-by-step explanation:
.10d + .25Q = 19.3Q
d + Q = 94
so d = 94 - Q
Substitution method:
.10(94 - Q) + .25Q = 19.30
9.4 - .10Q + .25Q = 19.30
9.4 + .15Q = 19.30
.15Q = 9.9
Q = 66 so d = 94 - 66 = 28