Answer:
0.09, 19.4, 0.49, 0.049, 0.491
Step-by-step explanation:
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
A rational function in the form ax^m+.../bx^n+... has a slant (oblique) asymptote when ________.
(A.) a=b
(B). m=n
(C). m n
Answer:
M>N
Step-by-step explanation:
I got it right
I really need help hurry
Answer:
the answer is A. {-1, 1, 3}
Step-by-step explanation:
PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!
the second option, on the second attachment
domain: -6<x<-2 or x>-2
range: -3[tex]\leq[/tex]y[tex]\leq[/tex]1 or 4<y<8
Help me please need help
Answer:
w = 10
Step-by-step explanation:
I did the math and and I got 10
Hope it helps!! :D
Answer:
w = 10?
Step-by-step explanation:
how do i show (6y-2) to the power of 2 simplified 36y^2 -24y+4
Answer:
420 69x1.38 (122) 12344
What is (4,5) reflected on the x-axis
Answer:
(4, -5)
Step-by-step explanation:
(4, 5) is 4 units to the right of the y-axis and 5 units above the x-axis.
When you reflect point (4, 5) over the x-axis, the new point is still 4 units to the right of the y-axis, so its x-coordinate is still 4. The distance that was above the x-axis now is below the x-axis, so the y-coordinate is -5.
Answer: (4, -5)
find the value of each variable 4y 3x 8 12
Answer:
4x812y3
Step-by-step explanation:
4x10^-6 + 6.8x10^7=
You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality
Answer:
d
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,-5) and (8,0)
Answer:
[tex]y=\frac{5}{8}x-5[/tex]
Step-by-step explanation:
You're given two points, using that you can use the slope-finding formula:
[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]
After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:
[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]
5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.
[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]
You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!
Hope that helped!
-Bob Ross
Buddy downloaded 16 apps in 24 seconds. At this rate, how many apps could he download in one minute? (24 seconds = 2/5 of a minute) (1-1 Unit Rate)
If f(x) = 7x + 9, what is the value of f(2)?
Answer: f ^− 1 ( x ) = x /7+ 9/ 7
Step-by-step explanation:
Replace f ( x ) with y .
y = 7 x− 9
Interchange the variables.
x = 7 y − 9
solve for y
y = x/ 7 + 9 /7
Solve for y and replace with f ^− 1 ( x ) .
f ^− 1 ( x ) = x /7+ 9/ 7
WHat is the correct sequence of steps
option 2:
1-3-4-2-5
1 puts it into terms of sins and cosines,
3 uses the half-angle equation
4 uses the square root rules
2 is just fraction manipulation
5 is a simplification
Answer:
1-3-4-2-5
Step-by-step explanation:
correct on edge 2021 :D
Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)
The ocean exploration institute has a submarine that is used to study patterns of fish moment the submarine started at the surface of the water and collected data at three different depths each time the submarine dove 40 feet down write an integer equation to model the situation and determine the lowest depth of the submarine
Answer:
120 feet
Step-by-step explanation:
Given that the submarine started at the surface of the water and collected data at three different depths.
As each time the submarine dove 40 feet down, so,
the depth covered in one dive = 40 feet.
From the surface, the depth covered in 1 drive, [tex]d_1= 40[/tex] feet
Similarly, the total depth covered in 2 drive, [tex]d_2 = 2\times 40= 80[/tex] feet.
So, for any integer [tex]n[/tex], the depth covered in [tex]n[/tex] drive,
[tex]d_n=40n[/tex]
This is the required integer equation to model the situation.
Since, for three different depths, there must be 3 drive and the submarine will be at the lowest depth after 3rd dive.
So, for the lowest depth, n=3
Hence, the lowest depth = 40x3= 120 feet.
How is -9 + (-4) the same as -9 + 4?
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
Which of the following is a solution to the Equation 2x^2+4y=3=3x^2
A)-1
B)0
C)3
D)6
Answer:
3
Step-by-step explanation:
I think 3 is the answer
Need help with this please
Answer: -2
Step-by-step explanation:
Slope=rise/run
In this case we rise up 4
And we run 2 to the left which makes it a negative
So in this case the slope is -4/2
Which can be simplified to -2
-15b - 20
factorise fully
!!!
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6
Answer:
i need the answer to pleasee... asnwer this question
Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.
Answer: 1,2, 5
Step-by-step explanation:
The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.
What is average?The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
Given:
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation
y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,
Calculate the greatest number of daylight as shown below,
y = 2.375 sin[30 - 90] + 12.125
y = 14.5 hours
Hence, the greatest number of sunlight can be 14.5 hours,
To know more about average:
https://brainly.com/question/28123159
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Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
What is the slope of the line through (2. 8) and (4, 1)?
Answer:
m = -7/2
Step-by-step explanation:
. John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. *
Complete question :
John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. * 1 point A. The shirt will have the lowest price with the $20 off coupon. B. The shirt will have the lowest price with the 20% off coupon. C. The shirt will cost the same with either coupon. D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
Given two different coupon options :
First: 20% off
Second = $20 off
To our hase with one which enables one to pay the amount of money :
The price of the shirt will determine which of the coupons will give the least amount. For instance, a shirts which which cost below $100 will require the $20 off coupon in other to attain the least payment amount. However for shirts which cost above $100, the 20% coupon yield the least amount. Shirts which cost $100. Both coupons yields the same discount amount.
please help im really confused with this question <3
Answer:
anyways kikiwaka nana
Step-by-step explanation:
zu zu zu fheibgerghberg
rejgnerkgnerjgeik
What is the expression in factored form?
2x^2+ 19x + 24
Answer:
factor by group the answer will be (2x+3)(x+8)
Step-by-step explanation:
Mark as Brainliest!!!Hope this Helps:)
PLEASEEE HURRY!!! And please show work thank youuu
Individual computer lab sessions at a school are 24 minutes long. On Monday, 313 students each completed a session at the computer lab. What is the total number of minutes the students spent at the computer lab?
Answer:
7512 minutes
Step-by-step explanation:
313 students each completed a 24 minute session. Which would be
313 · 24 = 7512
hope this helps... please amkr brainliest answer if correct:)