Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.
answer:
how many can are needed to move?
Step-by-step explanation:
Scientist Asterix uses 19 base number system. Which
one is his largest symbol?
A. I
B. J
C. 9
D. P
Answer:
A. I
Step-by-step explanation:
first 10 symbols are digits from 0 to 9
then next 9 symbols are alphabets from A to I
so the largest symbol is I
19 base number system has 19 symbols:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I
The largest symbol is I
Answer:
A. IFind the slope of the line that passes through (-38, 100) and (-37, 5).
The slope between two points is: (change in Y) / (change in X) .
Slope = (-95) / (1)
Slope = -95
Step-by-step explanation:
[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]
[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]
[tex]m = \frac{19}{15} [/tex]
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
Answer:
8624.03
Step-by-step explanation:
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
8000+600+20+4+.03
8624.03
Answer:
8624.03
Step-by-step explanation:
8000 + 600 + 20 + 4 + .03
What is the equation of a line with a slope of -3 and a y-intercept of 4
Answer:
y = -3x + 4
Step-by-step explanation:
So the -3 is the slope and the slope always has an x and the y intercept is b which is 4
Answer:
y = -3x + 4
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that: m = slope
y- intercept = b
m = slope = -3
y-intercept = b = 4
Plug in the corresponding number to the corresponding variables:
y = mx + b
y = -3x + 4 is your answer.
~
Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest
Answer:
184
Step-by-step explanation:
46 divided by .25
Answer:
200 Ribbons
Step-by-step explanation:
To break even Lucas needs to sell 200 ribbons --> this is because, =>
let's make an expression for this equation -->
x = amt. of ribbons
y = expense or revenue
x(0.25) = y + x(0.02)
Let's plug he given in --> 0.25x = 46 + 0.02x -->
now we can solve => x = 200
Hope this helps!
Find dy/dx by implicit differentiation for x – y = xy.
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]
Step-by-step explanation:
Differentiate xy using the product rule, then
Given
x - y = xy
1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )
- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )
- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )
[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y
[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]
The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).
What is differentiation?Differentiation is a method of finding the derivative of a function.
It shows instantaneous rate of change in a function.
The given expression is,
x - y = xy
Differentiate with respect to x,
d/dx (x-y) = d/dx (xy)
Use multiplication formula for differentiation,
d/dx(ab)= a.db/dx+da/dx.b,
1 - dy/dx = x.dy/dx + y. 1
1 - dy/dx = x.dy/dx + y
1 - y =x.dy/dx + dy/dx
1 - y = (x+1).dy/dx
dy/dx = (1-y)/(x+1)
The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).
To learn more about Differentiation on:
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SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer: option 3
PLEASE MARK ME AS BRAINLIEST
Answer:
option c it has rotational symmetry with an angle of rotation 90degree
Step-by-step explanation:
it is a figure shown based on symmetry first 2 option saying a basic answer
and last one is wrong
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm
Answer:
The height of the triangle is 24 cm.
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°
Answer:
Step-by-step explanation:
Total interior angles in a triangle=180 degrees
That is: 3x + 10 + 5x - 1 + x =180
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
Therefore
Angle A =67 degrees
Angle B= 94 degrees
Angle C = 19 degrees
simplify 10 in radical sign times 8 in radical sign
What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =
I just took the test and the answer is n= 6
Answer:
n=6
Step-by-step explanation:
In STU, SU =18 and TU =13. Find m
Answer:
m=22.2
Step-by-step explanation:
By using the Pythagorean’s theorem i.e
hypotenuse^2=opposite^2+adjacent^2
Where
Hypotenuse =unknown
Opposite =18
Adjacent =13
Hyp^2=18^2+13^2
Hyp^2=324+169
Hyp^2=493
Hyp=sqrt 493
Hyp=m=22.2
please fine area of abc im dumb and just need a quick answer please help no explanation needed
Answer:
6
Step-by-step explanation:
Because triangles ADC and ACB are similar:
[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]
The area of ABC is therefore bh/2=3*4/2=6.
Hope this helps!
Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.
Answer:
jenny got 15 pair of shoes
her bro got 10 pairs of shoes
Step-by-step explanation:
Jenny: 15 shoes
Brother: 10 shoes
what is the area of the obtuse triangle given below
Answer:
The answer is A
Step-by-step explanation:
The formula used to find the area of a triangle is 1/2base *height
The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.
Area of obtuse triangle is 64 sq. units
What is obtuse triangle?"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."
Given
Base of triangle = 16
Height of triangle = 8
Formula to find the area of obtuse triangle
A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]
A = 8 × 8
A = 64
Hence, Area of obtuse triangle is 64 sq. units
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Find the equation of the line below.
Answer:
D. y = 1/3x
Step-by-step explanation:
The line rises 1 unit up and runs 3 units to the right. The numerator (top) of the fraction, in this case the "rise" (units traveled up or down) of the equation, is 1. The denominator (bottom) of the fraction is 3, representing the "run" (units traveled right or left) of the equation.
Good luck on your test/work, I hope this helped!
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.
Answer:
y = -7
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope of the equation is equal to 0.
The y-intercept is at (0, -7)
y = (0)x + -7
y = -7
The equation of the line is y = -7.
Which algebraic expression represents the phrase “ the quotient of negative right and the sum of a number and three”?
Answer:
-8 ÷ (x + 3)
Step-by-step explanation:
So quotient means that you're dividing, so put a ÷
Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷
Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.
This gives you: (x + 3)
When you put it all together, you get -8 ÷ (x + 3).
This can also be written as a fraction: -8/x+3.
Use △XYZ, in which ∠X is a right angle and tanY=815.
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
The mass of a jar is 750g when it is 1/2 filled with orange juice. The same jar has a mass of 625g when it is 1/4 filled with orange juice. A. What is the mass of the jar when it is 3/4 filled with orange juice? B. What is the mass of the jar when it is empty?
Answer:
1875 g
Step-by-step explanation:
1/4=625g
3/4=x
Then cross multiply
1/4x=625*3/4
1/4x=468.75
Then divide both sides by .25
which is 1,875 grams
Hope it helps a little
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
PLEASE HELP!! 2b/10−b
Answer:-1/4b
Step-by-step explanation:
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
Complete the table of ordered pairs for the given liners equation
Answer:
Step-by-step explanation:
Given equation of the line is,
y = -x + 1
We will get the output values (y-values) from the given equation for different input values (x-values).
For x = 0,
y = 0 + 1
y = 1
For x = -1,
y = -1 + 1
y = 0
For x = -6,
y = -6 + 1
y = -5
So the table of the ordered pairs will be,
x 0 -1 -6
y 1 0 -5
Color to show the fractions
Did I do it right ?
Answer:
For number three you did everything correct.
But, number 4 it has to be equal to.
[tex]3/6=1/2[/tex]
They are equal to each other.
So just change it to an equal sign and your good.
Hope this helps
All is right, just one wrong.
3 sixths are not lesser than 1 half.
[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]
3 sixths are equal to 1 half.
A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio?
Area of patio = 12 x 16
= 192 square feet
Cost = 192 x 8
= $1536
find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
I’m stuck on this math problem
Answer:
C.
Step-by-step explanation:
You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.
Alternatively you can graph each equation on a graphing calc and choose the best answer.
40% as ounces
Pls help
Answer:
that equals 5 cups
Step-by-step explanation:
40% in ounces is 5 cups
Step-by-step explanation:
If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.