4y^3-9y=0 solve by factoring
Answer:
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]4y^3-9y=0[/tex]
[tex]y(4y^2-9)=0[/tex]
[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level
The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
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Answer:
20 feet below
Step-by-step explanation:
Write an equation in slope-Intercept form for the line with slope 2 and y-Intercept - 1. Then graph the line.
Answer:
Solution given in the photo
Help help help help math math
Express the following as mathematical statements or phrases. 1. Twice the product of the number 2. Seven less than a number 3. The sum of three consecutive numbers 4. The sum f two consecutive even numbers is 42 5. The sum of a number and 5 times its reciprocal 6. Four more than twice a number 7. The square of a number increase by five 8. The sum of two numbers is equal to four more than their difference 9. Rian's age four years from now 10. Clara's age 10 year from now
Answer:
See belowStep-by-step explanation:
Let x or y be the variable in each case.
1. Twice the product of the numbers ... x and y (just a guess, its incomplete):
2xy2. Seven less than a number:
x - 73. The sum of three consecutive numbers:
x + (x + 1) + (x + 2)4. The sum of two consecutive even numbers is 42:
2x + 2x + 2 = 425. The sum of a number and 5 times its reciprocal:
x + 5*(1/5)6. Four more than twice a number:
4 + 2x7. The square of a number increase by five:
x² + 58. The sum of two numbers is equal to four more than their difference:
x + y = 4 + (x - y)9. Rian's age four years from now:
x + 410. Clara's age 10 year from now:
x + 10Step-by-step explanation:
1. Let, Number = x
2x
2. Let, Number = x
x - 7
3. Let,
Consecutive numbers = x, x + 1 and x + 2
x + x + 1 + x + 2
3x + 3
4. Let,
Consecutive numbers = a and a + 2
a + a + 2 = 42
2a + 2 = 42
5. Let, Number = x
Reciprocal = 1/x
x + 5/x
6. Let, Number = y
2y + 4
7. Let, Number = y
(x + 8)²
x² + 16x + 64
8. Let,
First number = x
Second number = y
x + y = 4 + (x - y)
9. Let,
Rian's age = y
y + 4
10. Let,
Clara's age = y
y + 10
What is the diameter of circle 0?
Answer:
8
Step-by-step explanation:
diameter is the radius times 2
Ryan and Caiden both bought roses from the market. If Ryan paid $174.93 for 7 dozen roses, how much did Caiden pay for 4 dozen roses?
Will give the crown thing
Helppppopleaseee????
Answer:
LQ = 5
Median = 6
Step-by-step explanation:
[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.
Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.
Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
On a number line, point O is at -7, and point P is at 8. Point N lies between points O and P. If the ratio of ON to NP is 4:8, where does point N
lie on the number line?
Point N is at
on the number line.
Answer:
N is at -2 on the number line
Step-by-step explanation:
The location of point N can be found by writing the segment lengths as a proportion.
ON : NP = 4 : 8
8(ON) = 4(NP) . . . . . . . . "cross multiply"
2(N -O) = (P -N) . . . . . divide by 4, show lengths ON and NP
2(N -(-7)) = 8 -N . . . . . use given values of O and P
3N = -6 . . . . . . . . . . . add N-14 and simplify
N = -2 . . . . . . . . . . divide by 3
Point N is at -2 on the number line.
If the ratio of ON to NP is 4:8, point N lie on the -2 at the number line.
Point O is at -7.
Point P is at 8.
The ratio of ON to NP is 4:8.
The ratio 4:8 simplifies to 1:2. This means that ON is one-third of the total distance from O to P, and NP is two-thirds of the total distance.
The total distance from O to P is the sum of the distances between O and N, and between N and P.
As the ratio of ON to NP is 1:2, and the total distance is 15 (8 - (-7) = 15), we can set up the following equation:
ON/NP = 1/2
ON/(15 - ON) = 1/2
Now we can solve for ON:
2 × ON = 15 - ON
3 × ON = 15
ON = 5
So, ON is 5 units away from O.
Now O is at -7, point N is at -7 + 5 = -2 on the number line.
So, N is at -2.
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a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies
Answer:10/6 cups of sugar is the answer to this equation being the correct answer.
Step-by-step explanation:
What is the "theoretical yield" of cookies from each of the "reactants?"
How do you dived a fraction with a number like for an a example:
4/10 divided 2 = ?
Please explain step by step to get marked as brainliest!
Step-by-step explanation:
I assume you mean how do you divide a fraction by a whole number
In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule
The "Keep" means we keep the first fraction the same.
Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2
Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.
Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.
Hope this helps.
Answer:
you can use KCF for this answer as well
Step-by-step explanation:
2 as a fraction would be 2/1
you need 4/10 divided by 2/1
applying KCF, you change it to be 4/10 multiplied by 1/2
solve to get 4/20 or simplified 1/5
hope this helped :)
can anyone slove this question pls
we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3
ANSWER : -2 and -3
ok done. Thank to me :>
QRS is similar to XYZ.of QR=5,QS=7,and XY=30 find the value of XZ
Help help math math math please
Answer:
-2) -14
0) -8
2) -2
4) 4
Step-by-step explanation:
Plug in each input for x, and solve for y
Answer: 2) -140) -82) -24) 4
Step-by-step explanation:
Question 8 Tasha noticed that bags are not selling quite well. She reduced the original price of $300 by 20%. After, three months the bags were still not selling.She reduced the price again by 40%. A, What was the total percent of decrease? Show your work.
Answer:
84% decrease
Step-by-step explanation:
100 - 80 = 20%
80% = 4/5
300 * 4/5 = 240
100 - 40 = 60%
60% = 3/5
240 * 3/5 = 48
48/300 = 4/25 = 16%
100 - 16 = 84%
Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?
[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]
16. Which of the following situations is represented by the graph?
A conversion of inches to yards
B conversion of feet to inches
c conversion of miles to feet
d conversion of yards to feet
HELP
Answer:
B. conversion of feet to inches
Step-by-step explanation:
there are 12 inches in one foot.
Help please
(1/5 x 5) to the 5th power =
Answer:
(1/5 x 5) to the 5th power = 1
Help help math math math please
Answer:
x = 5
Step-by-step explanation:
2x+15 = 4x+5 (because they are corresponding angles)
10 = 2x
x = 5
Answer:
x = 5
Step-by-step explanation:
Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 8 times older
54 + x = 6; x = 48 times older
6x = 54; x = 9 times older
54x = 6; x = 9 times older
Answer:
6x = 54; x = 9 times older
Step-by-step explanation:
Solve the proportion where necessary, round to the nearest hundredth 12/13 = X/13
Answer:
12
Step-by-step explanation:
12 / 13 = x / 13
Cross Multiply,
12 * 13 = 13 * x
x = ( 12 * 13 ) / 13
x = 12
List all the factors of 42 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer Here
SUBMIT
Answer:
Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.
Step-by-step explanation:
:)
A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers
Answer:
Your anwser would be A mark brainliest please and thank you
Step-by-step explanation:
The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width
Set up figure, side length x, and width x-7. Set equation up
[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]
Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)
Using the unit circle, determine the value of sin 450°
Answer:
To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.
Answer:
1
Step-by-step explanation:
To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.
Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.
The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
Hence the value of sin 450° = y = 1
Rewrite in simplest terms: (-8x– 6y) + (6x – 3y)
Answer:
-5x - 6y
Step-by-step explanation:
Firstly, you remove any uncessary parentheses and collect like terms.
So that becomes -8x - 6y + (3x)
Hence, the brackets can be removed, which means we can continue to collect like terms which gives the final answer of -5x - 6y
y = -5x+1 linear or nonlinear
Marcie bought a 50-foot roll of packing tape. She used 8 5/6 foot lengtss. How much tape is left on the roll?
Answer:
22.40 feeds
Step-by-step explanation:
multiply it
Brent buys a dinning table that costs $150 before tax. The sales tax is 8% . How much tax did he pay?
Answer:
12
Step-by-step explanation:
its just twelve beliebe me
The ratio of good guys to bad guys was 15 to 4. If there were 75 good guys, how many bad guys were there ?
[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]
Number of bad guys = 12
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Ratio of good to bad guys = 15:4 = 15/4
No. of good guys = 75
Let the no. of guys be x
⇒ 15:4 = 75:x
⇒ 15/4 = 75/x
Cross multiplying
15 x = 75×4
x = (75/15)×4
No. of bad guys = (75/15)×4
= 3 × 4
No. of bad guys = 12
Hence, there are 12 bad guys.
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