Answer:
[tex]Length = 2x - 1[/tex]
[tex]Width = x - 6[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x^2 - 13x + 6[/tex]
Required
Model as the area
[tex]g(x) = 2x^2 - 13x + 6[/tex]
Expand:
[tex]g(x) = 2x^2 - 12x -x+ 6[/tex]
Factorize:
[tex]g(x) = 2x(x - 6) -1(x- 6)[/tex]
[tex]g(x) = (2x - 1) (x- 6)[/tex]
Area is calculated as:
[tex]Area = Length * Width[/tex]
So, by comparison:
[tex]Length = 2x - 1[/tex]
[tex]Width = x - 6[/tex]
Answer:
Based on the situation in part A, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. The right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). This function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. The length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden.
Step-by-step explanation:
Edmentum explanation/answer
Store A sold 326 out of its 570 coffee mugs. Store B sold 55% of its stock of coffee mugs. In which store was there a greater percentage of coffee mugs sold?
Which equation represents the horizontal line passing through (7.5) ?
A.x= 5
B.x = 7
C.y = 7
D.y = 5
Answer:
y=5
Step-by-step explanation:
convert 812cm to m (meters)
Answer:
8.13
Step-by-step explanation:
Move decimal over to the left 2 spaces
Of all the students in a school, 2/9 and no of them are in sixth grade.
a. How many sixth graders are there if the school has 90 students?
b. How many sixth graders are there if the school has 27 students?
c. If the school has x students, select the expression for the number of students in the school in terms of x.
d. How many students are in the school if 42 of them are sixth graders?
1. How many juniors like to watch track?
2.How many students like tennis best?
3.How many students were surveyed?
4.What percentage of students like track?
5. What percentage of students are in 12th grade and like Soccer?
6. What percentage of seniors like Soccer?
7. What is the relative frequency of being a junior and liking track
8.Out of seniors, what is the relative frequency od liking tennis best?
9.Which sport choice is most popular?
10. Write one statement that compares the sport preferences of the juniors and seniors
The solution is:
Number of students who like only tennis and football = 2
Number of students who like only tennis and baseball = 5
Number of students who like only baseball and football = 12
What is intersection?The intersection of two sets is the set of all those elements which are common to both of the sets.
here, we have,
Solution:
Let students who likes tennis be represented by set T.
Let students who likes football be represented by set F.
Let students who likes baseball be represented by set B.
Given that
Number of students who likes tennis that is n(T) = 18
Number of students who likes football that is n(F) = 25
Number of students who likes tennis and football = n( T ∩ F ) = 10
Number of students who likes tennis and baseball = n( T ∩ B ) = 13
Number of students who likes football and baseball = n( F ∩ B ) = 20
Number of students who likes all three sports = n(T ∩ F ∩ B ) = 8
Number of students who likes none of the sports = 9.
Determining number of students who like only tennis and football:
number of students who like only tennis and football = Number of students who likes tennis and football - Number of students who likes all three sports
so number of students who like only tennis and football
= n( T ∩ F ) - n(T ∩ F ∩ B )
= 10 – 8
= 2
Determining number of students who like only tennis and baseball:
number of students who like only tennis and baseball = Number of students who likes tennis and baseball - Number of students who likes all three sports
so number of students who like only tennis and baseball
= n( T ∩ B ) - n(T ∩ F ∩ B )
= 13 – 8
= 5
Determining number of students who like only baseball and football:
number of students who like only baseball and football = Number of students who likes baseball and football - Number of students who likes all three sports
so number of students who like only baseball and football
= n( B∩ F ) - n(T ∩ F ∩ B)
= 20 – 8
= 12
Summarizing the result :
number of students who like only tennis and football = 2
number of students who like only tennis and baseball = 5
number of students who like only baseball and football = 12.
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complete question:
In a survey of students about favorite sports, the results include 18 who like tennis, 25 who like football, 10 who like tennis and football, 13 who like tennis and baseball, 20 who like football and baseball, 8 who like all three sports, and 9 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
Adia is placing soil in flower pots. She has 58 quart of soil. She needs 54 quarts of soil to fill one whole flower pot. Use the drop-down menus to complete the statements below about the flower pots that Adia can fill with the soil she has.
Answer:
1 whole flower pot
Step-by-step explanation:
Given that:
Quart of soil Adia has = 58
Quart of soil to fill a whole flower pot = 54
The pot Adia can fill. With the soil he has :
Quart of soil Adia has / Quart of soil to fill a whole flower pot
= 58 / 54
= 1.074 pots
= 1 flower pot
Can Sombody help me real fast?
Answer:
45°
Step-by-step explanation:
Angles on a straight line add up to 180°.
135 + x = 180
x = 180 - 135
x = 45°
Lollllll I need help !
Answer:
$1.28
Step-by-step explanation:
$1+$1 =2
Quarter= 25 cents
Penny= 1 cent
25+3=28
$1+0.28
=$1.28
What formula would you use to find the area of this figure?
B) A=1/3(b)(h)
C) A=1/2(b)(h)
D) pi r exponent 2
Which of the following numbers is irrational? A. -6 B. √10 C. -0.45 D. 2/3
Answer:
square root of ten so b.
Step-by-step explanation:
sandra used 2 jars of beads to make 16 necklaces how many jars of beads would she need to make 192 neclaces
Answer:
24 Jars
Step-by-step explanation:
Do 16/2, which gives you eight for every necklace. Then do 192/8 which would give you 24. So, she would need 24 jars for 192 necklaces.
Answer:
16÷2=8
8÷192=24
its 24
all you have to do is divide the 16 and 2 to see how many is in each jar and how much they have done then just just divide that number with 192.
Solve for the value of w
33
(4w+5)
Answer:
w=7
Step-by-step explanation:
4w+5=33 Please let me know if I wrote the equation wrong
-5 -5 Get w by itself
4w=28
/4 /4 Divide by 4
w=7
Solve 2k-3(4-k)=3k+4.
Answer: what he said^
Step-by-step explanation: i like the points
75 is 1% of_______? Find the Whole
Answer:
7500
Step-by-step explanation:
Let's call that 'whole' a variable 'x'.
Since 75 is 1% of the whole, we can write this out with numbers and symbols, remembering that 1% of a number is 0.01 times that number
75 = 0.01*x
From there, you can divide both side of the equals sign by 0.01 to find x.
75=0.01x
7500 =x
Answer:
7,500
Step-by-step explanation:
1% of 7,500 is 75
Formula : (Number x 100)/Percent Number = (75x100)/1 = 7,500/1 = 7,500
Find the area of the blue triangle
Omg pls help muehhh
Answer:
B) 42 units squared
Step-by-step explanation:
12 * 7 = 84
84 / 2 = 42
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-XxDeathshotxX
Answer:
42
Step-by-step explanation:
The rectangle is 84 units. Half the rectangle (The triangle) is 42 units.
A rectangle has an area of 125 square feet. A second rectangle's area is 70% of the first. What is the area of the second rectangle?
Answer:87.5
Step-by-step explanation:
2(2x + 7) = 2 + 2x
A. One Solution
B. No Solution
C. Infinite Solutions
Answer: c no solution
Step-by-step explanation:
Variables (like x) do not have a actual number, so you can never truly answer the equation. Without a key, like a= 24. Number c.
pls help me guys i have no idea what im doing...
90 + x + 3x = 180
4x = 90
x = 22.5
Your answer: 22.5
Harper has a mask collection of 400 masks.She keeps 21% of the masks on her wall.How many masks does she keep on her wall
Answer:
84
Step-by-step explanation:
400x0.21%=84 simple
Fill in the table using this function rule.
REALLY NEED HELPPP
Answer: 71 bud
Step-by-step explanation:
what is the prime factorization of 96
Answer:12
Step-by-step explanation:
The prime of 96 is 12
Answer:2 5 · 3
Step-by-step explanation:
Here Is a trapozhum and a squnro, The lengths of the parnllel sides of the
trapezhum are 10 cm and 14 cm, The helght of tho trhpoziurm is 12 cm. The nren of
the squpre is equal to the aren of the trapeziurn. Work out the perimeter of the
square
Answer:
48 cm
Step-by-step explanation:
Here Is a trapezium and a square, The lengths of the parallel sides of the trapezium are 10 cm and 14 cm, The height of the trapezium is 12 cm. The area of the square is equal to the area of the trapezium. Work out the perimeter of the square.
Solution:
The area of the trapezium is given by:
A = (1/2)(a + b)h
where h is the height of the trapezium = 12 cm, a and b are the parallel sides. Given that a = 10 cm, b = 14 cm, hence:
A = (1/2)(10 + 14)12 = 144 cm²
Area of trapezium = Area of square
Area of square = 144 cm²
Area of square = length * length = length²
length² = 144 cm²
length = √144 = 12 cm
Perimeter = 4 * length = 4 * 12 cm = 48 cm
Yesterday, you sent 60 text messages. You said that 15% of those messages were to your best friend. How many text messages did you send to your best friend yesterday?
Answer:
9 messages were sent to your best friend yesterday.
15% of 60 = 9
Step-by-step explanation:
Hope this helps :)
Answer:
9
Step-by-step explanation:
15%=0.15
0.15*60=9
9 texts ere sent to the best friend
Simplify the polynomial.
4x−7+6x2+2x−3x2+12
Answer:
3x² + 6x + 5
Step-by-step explanation:
By adding like terms we got that polynomial [tex]4x-7+6x^2+2x-3x^2+12[/tex] is equal to
[tex]3x^2+6x+5[/tex]
What is polynomial ?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Given polynomial
[tex]4x-7+6x^2+2x-3x^2+12[/tex]
We can add and subtract like terms
[tex](6x^2-3x^2)+(4x+2x)+(12-7)\\\\\\3x^2+6x+5[/tex]
By adding like terms we got that [tex]4x-7+6x^2+2x-3x^2+12[/tex] is equal to
[tex]3x^2+6x+5[/tex]
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Chris paid $9.18 for a necklace. This amount includes the sale tax of 8% what was the cost of the necklace before tax?
Write in slope-intercept form an equation of the
line that passes through the given points.
(-2, 4), (3, 9)
Answer:
y = 5x - 6
Step-by-step explanation:
Please help ASAP I need it
Answer:
the negative of 255 is just -255
Find the mean of the data set below:
13, 6, 47,0
Answer: 16.5
Step-by-step explanation:
13 + 6 +47 + 0 = 66
there is 4 data so divide 66 by 4 and you will get 16.5
A pebble falls off of a cliff at a height of
784 ft. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
Answer:
7 seconds
Step-by-step explanation:
You would get 49 from doing -784 divided by -16 then you do the square root of 49 which is 7
ANSWER= 7 seconds
The time taken by the pebble to hit the ground will be = 7 seconds
What is an Algebraic Equation?Expression we get when operations such as addition , subtraction , multiplication , division , are operated upon on variable and constants.
Equation of height as a function of time = h(t) = - 16 (t^2)
cliff is at a height of = 784 feet
comparing both the above equation , we get
-16 (t^2) = 784
t^2 = 49
t = 7 seconds
The time taken by the pebble to hit the ground will be = 7 seconds
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Which statement below is correct for the following set of ordered pairs?
{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}
A. The set is a function since each element in the domain has a different element in the range.
B. The set is a function since each element in the range has a different element in the domain.
C. The set is a not a function since each element in the domain has a different element in the range.
D. The set is a not function since each element in the range has a different element in the domain.
Answer:
C
Step-by-step explanation:
A function can not have the same x-values but can have the same y-values.
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The set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a set of ordered pairs:
{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}
We know there are four main types of mapping that are:
One to one, one to many, many to one, and many to many.
In the case of one to one, and many to one. the relation is a function but in the case of one to many and many to many relations is not a function.
As we can see in the set of ordered pairs the x values are repeated which is also not a property of a function hence it is not representing the function.
Thus, the set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.
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