Answer:
(2x-5)feet
Step-by-step explanation:
The area of the rectangular garden A = Length × Width
Given the area A(x) = 2x² - 21x + 40
And the width =x-8 feet
To get the length, we will simply factorise the area function as shown;
You will just factorise the area
Factorizing 2x² - 21x+40
2x² − 21x + 40
2x² -16x - 5x + 40
2x(x - 8) -5(x - 8)
=(2x−5)(x−8)
Hence the length of the garden is
(2x-5)feet
Order the set of numbers from least to greatest:
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research study. The average (i.e., mean) score for the group of 20 is an example of a(n)___________.
a) sample
b) statistic
c) population
d) parameter
Answer: b) statistic
Step-by-step explanation:
Population = A large groups of individuals sharing the same or similar characteristic by the point og study.Sample = It is a subset of population .Parameter = It is measure of characteristic in population.Statistic = It is measure of characteristic in sample.Since the average score was taken by the group of 20 which is nothing but the sample.
That means, the average score is an example of statistic.
Hence, the correct option is b) statistic .
Why do you need to apply a force in order to get the box to move
Answer:
The reason one must apply a force to a box in order for the box to move is to overcome the friction generated by the box against the plane the box is sitting.
The box at rest has zero friction against the surface on which it sits. Once a force is applied, a box's movement is resisted by the friction created from contact with the surface.
In order for the box to move, one must generate more force than is being generated by the friction of the surface onto the box, allowing the box to move.
Cheers.
Help please!!
Which edges are perpendicular to PR
Select each correct answer
TR
QT
RA
TJ
HP
Answer:
QT. . . . . . . . . . . . . . . I think
Help please Is this correct?, I don't know if I did this right.
Answer: Infinitely many solutions
Any real number works for x
==============================================
Work Shown:
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\-2x+6 - 1 = 4x - 6x+5\\\\-2x+5 = -2x+5[/tex]
We get the same identical expression on both sides. So plugging any number in for x leads to getting the same number on both sides.
-----------
For instance, if x = 0,
[tex]-2x+5 = -2x+5\\\\-2(0)+5 = -2(0)+5\\\\5 = 5\\\\[/tex]
which is a true statement. The same happens when we plug x = 0 into the original equation
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\6 - 2(0) - 1 = 4(0)+5 - 6(0)\\\\6 - 0 - 1 = 0+5 - 0\\\\5 = 5\\\\[/tex]
The function f(x) = |x| is graphed over the interval [−6, 3].
Which translation of the graph has the domain [−3, 6]?
Answer: g(x)=lx-3l
Step-by-step explanation:
g(x) = |x − 3| is the translation of the graph has the domain [−3, 6]. Therefore, option D is the correct answer.
Given that, the function f(x) = |x| is graphed over the interval [−6, 3].
We need to find which translation of the graph has the domain [−3, 6].
What is a domain?The domain of a function is the set of all possible inputs for the function.
g(x) = |x − 3| graph has the domain [−3, 6].
Therefore, option D is the correct answer.
To learn more about the domain visit:
https://brainly.com/question/28135761.
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In 2003 the population of an African country was about 15 million people which is 1 million more than four times the population in 1950 enter in so many equation to find the approximate population P ( in millions) in 1950
Answer:
3,500,000
Step-by-step explanation:
1. 15,000,000 - 1,000,000 = 14,000,000
2. 14,000,000 divided by 4 = 3,500,000
Hopefully this helps you:)
HELP!!!!!!! The square in the middle has an area of 1 square unit. What is the area of the entire rectangle in square units? Explain your reasoning.
Answer:
4 square units
Step-by-step explanation:
If you draw a vertical line down the middle of the square, you divide it into two triangles that are congruent to the smaller triangles shown in the figure. Hence each of those triangles has an area of 1/2 square unit.
After you have divided the square as above, you see that two smaller triangles are identical in area to the larger triangles. So, each of those has an area of 2(1/2) = 1 square unit.
Then the total of areas is ...
2 small triangles + square + 2 large triangles = 2(1/2) + 1 + 2(1) = 4
The area of the rectangle is 4 square units.
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar. hellllp
Answer:
$22 aud x 1usd/1.2 Aud
Answer:
13.32 US Dollars
Step-by-step explanation:
22 divided by 1.2 is 18.33333333
round that to 18.3 then work out the us dollars to the australian dollars and you get 13.32
What is the formula of area
Answer:
Square: Area = S²
Rectangle: Area = lw (L x W)
Triangle: Area = bh/2
Circle: Area = 3.14(r)²
Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 76 miles?
Answer:
miles/gallons: 80/5 = 48/g
Cross multiply
80g = 240
g = 3 gallons
Step-by-step explanation:
4 gallons will Hank's pickup need to travel 76 miles.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
Hank's pickup can travel 95 miles on 5 gallons of gas.
95 miles ⇒ 5 gallons of gas
76 miles ⇒ X
95X = 76 × 5
X = [tex]\frac{76(5)}{95}[/tex]
X = 4
4 gallons will Hank's pickup need to travel 76 miles.
Find out more information about unitary method here
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Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26
Answer:
Answer should be I 16-(-10) I = 26
But I guess it's the last choice you listed, I -10-16 I = 26
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?
a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2
Answer:
i honestly dont know
Step-by-step explanation:
Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c
Answer:
[tex] - 0.8b + 4.1c + 3.2b - 0.1c = 4c + 2.4b[/tex]
Two lines in the same plane that will not intersect are parallel. always sometimes never
Answer:
Always
Step-by-step explanation:
If two lines are coplanar and will not intersect, they are parallel.
What’s the answer ???
Answer:
2 Liters
Step-by-step explanation:
.25 liters=1/8 fish aquarium
.25x8=2
A toy company spends $1900 for factory expenses plus $11 per toy truck (t) to make each toy truck. The trucks (t) sell for $30 each. What is the equation in terms of (t).
Answer:
P(t) = 19t - 1900
Step-by-step explanation:
The factory expenses = $1900
Per toy expense = $11
The selling price of toy = $30
Now we have to convert it in the equation form. Use the below formula to convert these values in equation form.
Profit = Total revenue – total cost
Profit = TR – (variable cost + fixed cost)
Profit on truck = 30t – (11t + 1900)
Profit = 30t – 11t – 1900
P(t) = 19t - 1900
At Emily’s closet 1/3 of the cloths are white and 1/5 are black what. What fraction of Emilly’s clothes are black and white ?
8/15
Since 1/5 and 1/3 have different denominators, they cannot be added directly.Multiply the denominators (5×3=15)Multiply each with the other denominator 3×(1/5)=3/15, 5×(1/3)=5/15Now, 3/15 +5/15=8/15
Answer:
5/8
Step-by-step explanation:
PLZ HELP!!!
which of the following functions is graphed below
(look at picture above)
Answer:
The answer is A.
23,900
Write each number in scientific notation.
Answer:
2.39 x 10 to the power of 4
Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?
Answer: 63.13%
Step-by-step explanation:
given data:
copper = 21.8%
0.13%x + 29%(140-x) = 21.8%(140)
open the brackets
0.13x + 40.6 - 0.29x = 30.5
collect like terms
0.13x - 0.29x = 30.5 - 40.6
–0.16x = –10.1
divide both sides by – 0.16
–0.16x / – 0.16 = –10.1 / –0.16
x = 63.13%
WILL MARK BRAINLIEST
Given a||b and c is not parallel to a or b which statement must be true?
(Picture)
Answer:
m4=m8
Step-by-step explanation:
Answer:
I took the test g
Step-by-step explanation:
m 2=7 and m 4=8
3. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• D is greater than E.
• B is greater than C.
• A is less than E.
• is greater than D.
• is less than E.
• A is less than F.
Points in order:
number 8 please! i kinda need help ASAP please! it’s due tomorrow
Answer: Answer is in the steps
Step-by-step explanation:
The perfect square that is less than 15 is 9 and greater 15 is 16 and the square root of 15 falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.
First row: 9 < 15 < 16
Second row [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]
Third row ; 3 < [tex]\sqrt{15}[/tex] < 4
Is is greater than less or equal to 4.09_4.90
Its less than i think yeah
help me w/ this asap
Answer:
(12,infinity)
Step-by-step explanation:
I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.
Combine the like terms to create an equivalent expression:
3
z
+
2
+
(
−
5
z
)
+
6
Answer:
-2z+8
Step-by-step explanation:
[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]
if f(x) = -3x+4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer:
x=1
Step-by-step explanation:
you have -3x+4 and your left with one whole number when you put -3 and 4 together
Solve
for x.
9x-7=-7 I need the steps please
Answer:
x=0
Step-by-step explanation:
9x-7=-7
Add 7 to each side
9x -7+7 = -7+7
9x = 0
Divide each side by 9
9x/9 = 0/9
x = 0
Answer: x = 0
Step-by-step explanation:
9x -7 = -7 First add 7 to both sides
+7 +7
9x = 0 Now divide both sides by 9
x = 0
Slope intercept, show work I don't how to get it
Answer:
1) start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.
Step-by-step explanation:
those are steps and explanation but the theres an example i put in there to