Answer:
[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]
Step-by-step explanation:
[tex]y = mx + c[/tex]
m is slope
c is y intercept.
at x-intercept, y = 0
[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,
y = mx + c
0 = (1/6)(-1) + c
0 = -1/6 + c
c = 1/6
Now, the equation of the line can be written as,
y = (1/6)x + (1/6)
y = (x/6) + (1/6)
y = (x+1)/6
6y = x + 1
Hence, the equation of the given line is 6y=x+1.
Learn more about Equation of Line here:
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Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
Before you try that problem, answer the question below.
How many fluid ounces of juice did Xavier buy?
Answer:
2.56
Step-by-step explanation:
2 divided by 512
2 lol
Answer:
Q1. $2.56
Q2. 2 fluid ounces
Step-by-step explanation:
Q1. $5.12÷2=$2.56
Q2. 2 fluid ounces (inferred from qn)
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
A. (−3, 0)
B. (−1, −4)
C. (1, −8)
D. (1, −4)
Answer:
d
Step-by-step explanation:
I’ve been stuck on this for days I just need a simple answer
Answer:
408
Step-by-step explanation:
Surface area formula is A=2(wl+hl+hw)
Substituting these values into the formula you would get
2·(3·8+4·8+4·3)=136
136 accounts for one rectangular prism.
Since you have 3 multiply 136 by 3 which would leave you with 408
Answer:
280 in²
Step-by-step explanation:
The opposite faces are congruent , then surface area (SA ) is
SA = top/ base + front/ back + 2 sides
note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in
SA = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)
= 2 × 32 + 2 × 72 + 2 × 36
= 64 + 144 + 72
= 280 in²
How do you solve this?
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
Is 17 a interger or a counting number
Can someone help me with this ?!! Plz
Answer:
see image
Step-by-step explanation:
(-4, 6) and (3,-7)
Find the distance between each pair of points
Answer:
14.76482306
Step-by-step explanation:
distance equals the square root of (x2-x1)^2 + (y2-y1)^2.
think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.
PLS HELP ASAP PLS
A net of a triangular prism is show. What is the surface area, in square feet, of the triangular prism?
44 square feet
96 square feet
108 square feet
120 square feet
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answer:
If there were only 100 students, there would be enough food for 3 days.
Step-by-step explanation:
Set up an equation:
Variable x = number of days
150/5 = 100/x
Cross multiply:
150 × x = 5 × 100
150x = 500
x = 3.3333...
Round down to a whole number which represents a full day of food.
x = 3
The mean age of 6 women in an office is 23 years old.
The mean age of 3 men in an office is 23 years old.
What is the mean age (nearest year) of all the people in the office?
the mean for both mean and women are 23 so the mean of all the people would be the same.
Answer:23
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
Entrance A, 15,682 cans
Entrance B, 18,940 cans
Entrance C, 16,114 cans
Entrance D, 12,468 cans
Did they collect more or fewer cans than desired? How many more or fewer?
Answer:
they collected altogether 63204 cans
so,they collected 13204 cans more than desired
6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft
Answer:
length = 20 ft, width = 11 ft
Step-by-step explanation:
let w be width, then length = w + 9
The opposite sides of a rectangle are equal , then
2w + 2(w + 9) = 62
2w + 2w + 18 = 62
4w + 18 = 62 ( subtract 18 from both sides )
4w = 44 ( divide both sides by 4 )
w = 11
and w + 9 = 11 + 9 = 20
then width = 11 ft and length = 20 ft
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
Select all expressions that are equivalent to x2 - 4x – 32.
0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)
Answer:
(x + 4)(x – 8)
Step-by-step explanation:
1. (x – 16)(x + 2)
x² - 2x - 16x - 32
x² - 18x - 32
2. (x + 2)(x – 16)
x² - 16x + 2x - 32
x² - 14x - 32
3. (2 – )(x + 4)
2x + 8
4. (x + 8)(x – 4)
x² - 4x + 8x - 32
x² + 4x - 32
5. (x + 4)(x – 8)
x² - 8x + 4x - 32
x² - 4x - 32
6. (x – 4)(x+8)
x² + 8x - 4x - 32
x² + 4x - 32
Can anyone help me find w
A flea which is 8 x 10^-3 can jump 3.5 10^2 times of its own
length. How far can it jump?
meters
Answer:
(8 × 10 ^-3) (3.5× 10 ^2)
= 2.8 meters
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 23.9 feet. How many feet had she been below sea level, if she was 82.2 feet below sea level after she went down?
Answer:
58.3
Explanation:
x is the depth that the scientist started at. The asked equation is
x + 23.9 = 82.2
To find x, all we have to do is reverse the equation by doing
82.2 - 23.9 = x
This gives us x = 58.3
Throughout Singapore it has been estimated that about a billion (1 000 million) cubic meters of water are used each day. If we assume a population of 3 million, what is the rate of consumption of water per person?
Answer:
333 cubic meters of water are used each day by one person
Step-by-step explanation:
The following 5 keys are for the following 5 locked padlocks. Each key opens one and only one padlock. Different keys open different padlocks. What is the least number of trials needed to guarantee that you will open all 5 padlocks?
[tex] {5}^{5} [/tex]
is the answer.
Heelp ez question, just answer no steps needed
Answer:
i think 16 is the correct answer
Step-by-step explanation:
a
Solve the equation-
200=16(6t-3)
Hi ;-)
200 = 16(6t - 3)
16 · 6t - 16 · 3 = 200
96t - 48 = 200 / + 48
96t = 248 / : 96
t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
200 = 16 (6t - 3)
Simplify the equation, then the value of the variable t will be
200 = 16 (6t - 3)
12.5 = 6t - 3
6t = 15.5
t = 2.58
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
More about the solution of the equation link is given below.
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4 A curve has equation y=x^3 - 2x² +5. Find the coordinates of its two stationary points.
Answer:
Stationary points are (0, 5) and (4/3, 103/27)
Step-by-step explanation:
At stationary point (turning point), dy/dx :
[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]
but dy/dx = 0:
[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]
let y = x³ - 2x² + 5:
[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]
write down 1/y-2/x as a single fraction in its lowest terms
Answer:
It is (x - 2y)/xy
Step-by-step explanation:
[tex] \frac{1}{y} - \frac{2}{x} [/tex]
carry out LCM method:
LCM of y and x is xy
[tex] = \frac{x - 2y}{xy} [/tex]
3 6/12 rounded to the nearest whole number
Answer:
4
Step-by-step explanation:
6/12= .5
3.5≈4
Find the missing number to make these fractions equal.
Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality
Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
Please helppp!!! I have this question for geometry and I can’t figure it out.
Answer: shoot proofs
Step-by-step explanation:
2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
are 147 scoops of vanilla ice cream, how many total scoops are there?