Answer: Answer is A
Step-by-step explanation:
Hope this helped:)
Enter the value of x! Thank you!
Answer:
x = 3Step-by-step explanation:
given:
f(x) = g(x)
f(x) = x³ - 3x² + 2
g(x) = x² - 6x + 11
find: the value of x
solution:
as given f(x) = g(x) equate each side x³ - 3x² + 2 = x² - 6x + 11 combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0 solve by factoring: (x - 3) (x² - x + 3) use the Zero factor principle: x - 3 = 0 x = 3 for x² - x + 3 = 0 ----this is a complex solution.
therefore, the value of x = 3
Step-by-step explanation:
[tex]
\underline{\bf{Given\::}}
Given:
\underline{\bf{To\:find\::}}
Tofind:
\underline{\bf{Explanation\::}}
Explanation:
\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}
\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}
⟶
−10
1
=
v
1
−
−30
1
⟶
v
1
=
−10
1
+
30
1
⟶
v
1
=
30
−3+1
⟶
v
1
=
30
−2
⟶
v
1
=
−15
1
⟶v=−15cm
\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}
MAGNIFICATION:
\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}
↦m=
Heightofobject(O)
Heightofimage(I)
=
Distanceofobject
Distanceofimage
=
u
v
↦m=
−15
−30
↦m=2cm
Thus;
The magnification will be 2 cm .
[/tex]
Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours per week, and it has $3000 outlay weekly on operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $4 on line B. (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.
Answer:
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
Step-by-step explanation:
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
What is inequality?Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
Hence the inequality for the number of items, x, produced by the labor, is 250 ≤ x ≤ 600 and the inequality for the cost, C is $1,000 ≤ C ≤ $3,000
To know more about Inequality follow
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what is 5.6 rounded to the nearest tenth
Answer:
it would be 5.60
Step-by-step explanation:
5.60 is the answer
A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line? O-4
O-1
O 1
O 4
Answer:
04
Step-by-step explanation:
0 -4 zero is just zero so 4 replace
Answer:
4
Step-by-step explanation:
If a cube has a side length of 5 inches, what would be the volume of that
cube?
2 points
*
Answer:
125 inches^3
Step-by-step explanation:
To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.
Help me please, this is due in like 20 mins
Answer:
[tex]-\frac{8}{27}[/tex]
Step-by-step explanation:
Use 9 for the denominators since 3 goes into 9
[tex]-\frac{3}{9} *\frac{8}{9}[/tex]
You can simplify 3 and 9 across
[tex]-\frac{1}{9} *\frac{8}{3}=-\frac{8}{27}[/tex]
i will give u brainliest
Answer:
11.6404467268 ——> 11.64
Step-by-step explanation:
Since ur only in hs, there are no steps for this. Simply press the square root button on ur calculator and voila! Thx for the brainliest :)
Indira makes a graph to show how many pages of her graphic novel she can
illustrate each day.
a. What is the constant of proportionality for the relationship between
pages and days?
b. Write an equation to show the relationship between pages and days.
Answer:
a). k = 0.75
b). y = 0.75x
Step-by-step explanation:
a). Graph is showing the relation between number of pages (P) illustrated by Indira and number of days taken (D).
P ∝ D
P = kD
Where 'k' is the proportionality constant.
k = [tex]\frac{P}{D}[/tex]
From the graph attached,
For a point with ordered pair (2, 1.5),
k = [tex]\frac{1.5}{2}[/tex]
k = 0.75
b). Equation representing the relation between number of pages and number of days will be,
P = 0.75D
y = 0.75x
For the dilation with center (0,0) shown on the graph, your friend says the scale factor is 5/2 . What is the correct scale factor? What mistake did your friend likely make?
Correct answer i know is 2/5, what did the friend do though? here are the choices
A.
Your friend found the ratio between non-corresponding sides.
B.
Your friend found the ratio between two sides of the image triangle.
C.
Your friend found the scale factor that enlarges to triangle abc to triangle a'b'c'
D.
Your friend found the ratio between two sides of the original triangle.
Answer:
i think its b
Step-by-step explanation: if its wrong im sorry its been a while sense i did this
Answer asap I really need too pass
Answer:
Yes, the bill is reasonable because 11+8+3+5+5=32, which is very close to 31.44.
Multiply. Express your answer in simplest form.
5/6 x 15
Answer: 12 1/2
Step-by-step explanation:
Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture of side length X in inches. She has a function p(x) equals 3X that gives the price in dollars for the frame. What is the single function that Jenny can use to give a customer a price for a picture with an edge length of X
Given:
The function for size of a square frame is
[tex]f(x)=x+2[/tex]
where, x is the side length of the picture.
The function for the price in dollars for the frame is
[tex]p(x)=3x[/tex]
To find:
The single function for the price of a picture with an edge length of x.
Solution:
We know that, for a picture with an edge length of x.
Size of a square frame = f(x)
Price in dollars for the frame = p(x)
Single function for the price of a picture with an edge length of x is
[tex](p\circ f)(x)=p(f(x))[/tex]
[tex](p\circ f)(x)=p(x+2)[/tex] [tex][\because f(x)=x+2][/tex]
[tex](p\circ f)(x)=3(x+2)[/tex] [tex][\because p(x)=3x][/tex]
Let the name of this function is c(x). So,
[tex]c(x)=3(x+2)[/tex]
Therefore, the required function is [tex]c(x)=3(x+2)[/tex].
There are 5 monkeys and 1 tiger which one is smarter?
Answer:M O N K E
Step-by-step explanation:because monke smort
Answer: Monkeys!
Step-by-step explanation: Monkeys are sometimes smarter than humans! There is also 5 of them
Find the equation of the line shown.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
First we need the slope which is finding from the following equation.
slope = y(B) - y (A) / x (B) - x(A)
Suppose ;
A = ( 0 , 0 ) & B = ( 10 , 5 )
Thus :
slope = 5 - 0 / 10 - 0
slope = 5 / 10
slope = 1 / 2
__________________________
We have following equation to find the point-slope form of the linear functions.
y - y(0) = s × ( x - x(0) )
__________________________
y(0) & x(0) are the coordinates of the point which line through it like A = ( 0 , 0 ) or B = ( 10 , 5 ).
s = slope
__________________________
I choose point A to put in the equation.
So :
y - ( 0 ) = 1/2 × ( x - ( 0 ) )
y - 0 = 1/2 × x - 1/2 × 0
y = 1/2 × x
y = x/2
Done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELPPPPP but only number one
Answer:
-2
Step-by-step explanation:
f(-7)=-7^2-51
f(-7)=49-51
f(-7)=-2
Can someone please help me here! Tell me the answer I’ll give a brainliest to the one who is right!
Answer:
False
Step-by-step explanation:
The equation is equal to -24 = -19. That's not true
Answer:
False. The equality is false because the left-hand and right-hand sides are different
i did the equation as the x in between 3 and (-8) as x, not times
WILL GIVE YOU BRAINLIST
find the slop
-4 1
-1 - 4
2 -9
5 -14
8 -19
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .Teachers use different words for the y-coordinates and the the x-coordinates . Some call the y-coordinates the rise and the x-coordinates the run . Others prefer to use Δ notation and call the y-coordinates Δ , and the x-coordinates the Δ .These words all mean the same thing, which is that the y values are on the top of the formula (numerator) and the x values are on the bottom of the formula (denominator)!The slope of a line going through the point (1, 2) and the point (4, 3) is 13. Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula.Can either point be (1,1) ? There is only one way to know! First, we will use point (1, 2) as 1,1, and as you can see : the slope is: 13 . Now let's use point (4, 3) as 1,1, and as you can see , the slope simplifies to the same value: 13point (4, 3) as (1,1) =2−12−1=3−24−1=13 point (1, 2) as (1,1) =2−12−1=2−31−4=−1−3=13 Answer: It does not matter which point you put first. You can start with (4, 3) or with (1, 2) and, either way, you end with the exact same number! 1/3
Example 2 of the Slope of A line The slope of a line through the points (3, 4) and (5, 1) is −32 because every time that the line goes down by 3(the change in y or the rise) the line moves to the right (the run) by 2.This is because any vertical line has a Δ or "run" of zero. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. The picture below shows a vertical line (x = 1). vertical line The slope of a horizontal line is zero This is because any horizontal line has a Δ or "rise" of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Below is a picture of a horizontal line -- you can see that it does not have any 'rise' to it.
what is 25,000,000 x 25,0000 = what
Answer: 6.25^12
Step-by-step explanation:
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 11th percentile of the data is 15 hours. Step 4 of 5 : What is the value of the 50th percentile?
Answer:
26.2 hours
Step-by-step explanation:
From the given information:
The objective is to determine the value of the 50th percentile.
The median is the 50th percentile, which categorically divides the data into two equal parts. It is a number separating the higher half of a data sample from the lower half. This implies that the median stands in place for the 50th percentile of the data.
Thus, the 50th percentile value is 26.2 hours
(please help I will give brainlist) Twenty students tried out for the basketball team. Sever were selected. What is the ratio of students selected to those trying out?
Answer:
7:20
Step-by-step explanation:
35% of the students made the team
Answer:
7:20
Step-by-step explanation:
hope this helps :)
75
To go on a fairground ride, you must be at least 5 feet tall. Express this as an inequality.
A. A) h<5
B. B) hs5
C. C) h>5
D. D) h25
Select an answer
Which one of the following equations is equivalent to 3x-12 = -9?
A 3 - 5 = -6
B 70 - 3=4
2x = 4
D 2+3 = 2 - 1
the answer choices don't make sense but I can help u with solving the equation it's x = 1
3x-12=-9 , minus 12 on both sides3x = 3 , divide 3 on both sides x = 1now that u know this go through your answer choices and solve their equation and see which one produces x = 1 and that'll be the answer!!
What is the solution set for -4x + 10 2 5x + 55?
O A. x 25
o
B. X 245
O C. XS-5
O D. XS -45
I missed my zoom lesson today and I don't understand the material we covered. I'm not sure how to answer this question. Thank you in advance for your help
Answer:
True
Step-by-step explanation:
Skew lines are two lines that do not intersect and are not parallel.
AB and CG are neither intersecting nor parallel. So, they are skew lines.
Hope it helps:)
What is the range of the relation
(3,3)
(0,2)
(0,-3)
(-1,-2)
(2,-3)
(2,-4)
what is -4x+6y=21 on the graph
Answer:
Step-by-step explanation:
what is -0.5 repeating(5 in the tens place is repeating) as a fraction?
Answer:
-1/2
Step-by-step explanation:
How many solutions does the following equation have ?
-42 – 7 + 10x = -7 + 6x
Pls help and explain
The equation -42 - 7 + 10x = -7 + 6x has one solution x = 10.5.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
-42 - 7 + 10x = -7 + 6x
Combine like terms in the equation,
-49 + 10x = -7 + 6x
Add 49 to both sides,
10x = 42 + 6x
Subtract 6x from both sides,
4x = 42
Divided both sides by 4 into the equation, and we get
x = 10.5
Thus, the equation has one solution x = 10.5.
Learn more about the equations here:
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Which is equivalent to the following expression?
4(9m + 3) + 9 - 2(3m)
a. 16m + 9
b. 30m + 21
c. 30m + 9
d. 42m +21
30m +21
4(9m + 3) + 9 - 2(3m), distribute the numbers into the parenthesis 36m+12+9-6m, combine like terms 30m + 21Answer:
[tex] \huge{ \bold{ \boxed{ \text{30m + 21}}}}[/tex]
Step-by-step explanation:
[tex] \text{4(9m + 3) + 9 - 2(3m) }[/tex]
[tex] \text{Step \: 1} : \text{Distribute \: 4 \: through \: the \: parentheses}[/tex]
➵ [tex] \text{36m + 12 + 9 - 2(3m)}[/tex]
[tex] \text{Step \: 2} : \text{Multiply \: 2 \: by \: 3m}[/tex]
➵ [tex] \text{36m + 12 + 9 - 6m}[/tex]
[tex] \text{Step \: 3 : \: Combine \: like \: terms}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
➵ [tex] \text{36m - 6m + 12 + 9}[/tex]
➵ [tex] \text{30m \: + 12 + 9}[/tex]
[tex] \text{Step \: 4 : Add \: the \: numbers}[/tex]
➵ [tex] \text{30m \: + \: 21}[/tex]
[tex] \sf{Hope \: I \: helped}[/tex]!
[tex] \sf{Best \: regards}[/tex] !
~TheAnimeGirl
Nathan and jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclists crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?
Answer: A) Nathan’s because his sample was more random
Step-by-step explanation: sampling methods quiz on edge
Nathan's sample is likely to be the most valid. Nathan's because his sample contained elements of the population.
What is a Survey?In order to gather information on a service, product, or process, a survey is described as an act of looking at a process or asking a predetermined sample of people. Surveys used to gather data ask a specific set of individuals about their beliefs, actions, or knowledge.
Given, To find out how much time cyclists are in a race train on average each week, Nathan and Jordan develop questionnaires. Every fifth cyclist who crosses the finish line after a race is surveyed by Nathan. Jordan takes a survey of the top five cyclists who cross the finish line.
Since Nathan's sample contained elements of the population.
and it is more random.
The sample used by Nathan is probably the most reliable. Nathan's because the population was represented in his sample.
Learn more about surveys here:
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