Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?
Answers
The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C
The graph in option 3 models the length of the new rectangle.
What is a rectangle ?Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.Area of the rectangle can be found by multiplying the length with its breadth.How to find which graph models the length of the new rectangle?According to the problem,
width of the rectangle is x unitsArea of the rectangle is 10 square unitsLength of the rectangle is given by f(x) = 10/xNow if width becomes (x+1) units
∴ Length will be represented as 10/(x+1)
Now from the given options we need to find the exact graph of f(x) = 10/(x +1)
Here if x = 4 , y =2
So the point (4 , 2) is satisfied which is only happening in the graph of option 3
Option 3 represents the correct graph
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Related Questions
A cube with an edge of length has a volume of 64 units. What is the length of ? Hint: Volume of a cube is LxWxH.
Answers
Answer:
it is 4
Step-by-step explanation:
Solve Quadratic Equations by Factoring:
Solve by factoring and using the Zero Product Property:
1. 2x^2+3x-5=x^2+4x-5
2. 16x^2+5=4
3. X^2+45=20-10x
WILL MARK BRAINLIEST!!
Answers
Answer:
x = 0 or 1x = ±i/4x = -5 (twice)Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
__
2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
__
3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
4. which of the following is the correct notation for 15-sqr-32
5. which of the following is equivalent to sqr-63
Answers
Answer:
See below.
Step-by-step explanation:
4.
[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]
5.
[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]
6.
[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]
I know the answer show me how you solve it
Answers
Step-by-step explanation:
It's basically [tex]3\sqrt{3} - 1\sqrt{3}[/tex] which is just 3 - 1 since the radicals are the same.
a certain oak tree is 12 feet taller than a certain pine tree. if the pine tree is p feet tall, which expression represents the height of the oak tree?
Answers
Answer:
o=p+12
Step-by-step explanation:
height of the oak tree is equal to the height of the pine tree plus 12 feet.
Armando wrote the expanded notation for 0.356 as shown below. How can you
rewrite his expanded notation using fractions for the place values?
Answers
Answer:
3×1/10 +5×1/100 +6×1/1000
Step-by-step explanation:
You have not shown Armando's work, but we know there are several ways that expanded form can be written:
0.356 = 0.3 + 0.05 + 0.006
= 3×0.1 + 5×0.01 + 6×0.001
= 3×10^-1 + 5×10^-2 + 6×10^-3
When the place values are expressed as fractions, this is ...
= 3×1/10 + 5×1/100 + 6×1/1000
At a sale, dresses were sold for $39 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?
Answers
Answer:
65%
Step-by-step explanation:
We're looking for how big a part of the original price the reduced price is.
This can be done using division.
E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.
[tex]\frac{1}{10} = 0.1 = 10\%[/tex]
The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.
Let's try this using our dresses. The reduced price was $39, and the original price was $60.
[tex]\frac{39}{60} = 0.65 = 65\%[/tex]
The dresses were sold at 65% of the original price.
Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.
For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.
[tex]\frac{9}{10} = 0.9 = 90\%[/tex]
[tex]10-9=1[/tex]
[tex]\frac{1}{10}=0.1=10\%[/tex]
A rectangle is 10 cm long and it's perimeter is 26cm . find the breath of the rectangle
Answers
Answer:
the width of a rectangular is 3 cm
Step-by-step explanation:
Length L = 10 cm
Perimeter P = 26 cm
Width W = ?
perimeter = 2L + 2W
26 = 2(10) + 2W
26 - 20 = 2W
6 = 2W
W = 6 / 2
W = 3 cm
therefore, the width of a rectangular is 3 cm
f(x) = x^2 + 3 g(x) = 4x - 3 Find (f°g)(-1)
a. 4
b. -52
c. -4
d. 52
Answers
Answer:
Step-by-step explanation:
g(-1) = 4(-1) - 3 = -4 -3 = -7
f(-7) = (-7)^2 + 3 = 49 + 3 = 52
Answer is D
Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 3 and 7. Which number is Alicia thinking of?
Answers
Answer:
21
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
We see that the first number that is a multiple of both 3 and 7 is 21.
A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take
Answers
Answer:
$135
Step-by-step explanation:
Dana recorded a temperature drop of 20 and a second temperature drop of 30. What is the total change in temperature
Answers
Answer: -50
Step-by-step explanation:
-20 + -30 = -50
The total change in temperature that Dana recorded will be -50 or a drop of 50.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
First temperature drop = -20
Second temperature drop = -20
Total drop = -20 - 20 = -40
Hence "The total change in temperature that Dana recorded will be -50 or a drop of 50".
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WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.
Answers
Answer:
2
Step-by-step explanation:
The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.
The preimage is the smaller shape shown, while the image is the lager shape shown.
Any side length can be used.
Thus, length of one side of the preimage, AD = 4 - 1 = 3 units
AD corresponds to side length A'D' if the image = 7 - 1 = 6 units
The ratio of the image length to the ratio of the preimage length = the scale factor
Thus:
6 : 3 = [tex] \frac{6}{3} = 2 [/tex].
The scale factor is 2.
What is the circumference of a the circle? D = 14 cm
Round your answer to 2 decimal places.
Answers
Answer:
Hey there!
Circumfrence = 3.14d
Circumfrence = 3.14(14), or 43.96
Hope this helps :)
Fatima has 1/2 gallon of milk she wants to pour all milk into 6 glasses what fraction of a gallon should she pour into each glass
Answers
Answer:
4/5
Step-by-step explanation:
1/2÷6=0.8333333...
0.8333333...as a fraction is 4/5
Answer:
1/2
Step-by-step explanation:
6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).
A. -1
B.9
C.3
D.-3
Answers
Answer:
The answer is option AStep-by-step explanation:
f(x) = x - 2
g(x) = x²
In order to find (fog)(-1) we must first find (fog)(x)
To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with
g (x).
That's
(fog)(x) = x² - 2
To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)
We have
(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1
Hope this helps you
Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x + 2)^2 - 64
Answers
Answer:
-10,6
Step-by-step explanation:
f(x) = (x + 2)^2 - 64
Set equal to zero
0 = (x + 2)^2 - 64
Add 64 to each side
64 = (x + 2)^2
Take the square root of each side
±sqrt(64) = sqrt((x + 2)^2 )
±8 = x+2
Subtract 2 from each side
±8-2 = x
-8-2 =x
8-2 = x
-10,6
5 + 3x – 2x = 31 – 6 – 5
What is the answer?
Answers
Answer:
x=15
Step-by-step explanation:
i just know its right
Which of the following numbers is closest to 5?
A. V23
B. V26
C. V22
D. V28
Answers
Answer:
B
Step-by-step explanation:
V26 is closer to 5 because it's only one number away.
The number among the option that is closest to 5 is √26.
How to find the number closest to 5?The number closest to 5 is the number that is almost 5.
The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,
√23 = 4.79583152331
√26 = 5.09901951359
√22 = 4.69041575982
√28 = 5.29150262213
Therefore, using the decimal form, the closest number to 5 is √26
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Find the angles x and y in following figure.....correct answer will be mark BRAINLIEST and be followed...
Answers
Answer:
<CTS=180-(35+31) (sum of <s in a triangle)
=180-66
=114 degrees
x=180-114 (angles on a straight line)
x=66 degrees
<TSR=180-(30+36)
=180-66
=114 degrees
<TSA=180-114
=66 degrees
y=180-(66+66)
y=180-132
y=48 degrees
Find the sum.
185
+ 66
Answers
Answer:
251
Step-by-step explanation:
Expression: (3215 - 3052) * 15
The value of the expression is
Answers
Answer:
2,445
Step-by-step explanation:
PEMDAS:
(3215 - 3052) * 15 =
163 * 15 =
2,445
Hope this helps.
Answer:
I think Its 24.45
Step-by-step explanation:
I did my best
The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs each month of $5700. Find the cost function C when x computers are manufactured.
Answers
Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
Answer:
C(x)=500x+5700.
Step-by-step explanation:
he general Cost function formula is given by
C(x)=cost per unit⋅x+fixed costs.
The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by
C(x)=500x+5700.
what is the measure of ABD
Answers
Answer:
Hey there!
The measure of angle ABD plus the measure of angle CBD equals 90 degrees or a right angle.
Thus, we can write the equation: ABD+51=90
Solving for ABD, we find that it is 39 degrees.
Let me know if this helps :)
the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.
What is right angle?A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
according to given figure
The measure of angle ∠ABD plus the measure of angle ∠CBD equals 90 degrees or a right angle.
Thus, we can write the equation: ∠ABD + ∠CBD = 9[tex]0^{o}[/tex]
∠ABD + 5[tex]1^{o}[/tex] = 9[tex]0^{o}[/tex]
∠ABD = 9[tex]0^{o}[/tex] - 5[tex]1^{o}[/tex]
∠ABD = 3[tex]9^{0}[/tex]
Hence, the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.
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eight hundred and five thousandths decimal
Answers
I hope this helps
After the decimal, it starts at tenths then goes to hundredths and finally would got to thousandths place
it’s kinda urgent lol
Answers
Answer:
60m²
Step-by-step explanation:
my dude you need to know this. A=bh. A=10(6).
60m good luck </3 hghjghghhujg
how to do this question plz answer me step by step plzz
Answers
Answer:
No
Step-by-step explanation:
First, figure out the circumference:
c=[tex]\pi[/tex]d
c=[tex]\pi[/tex]180=565.48
Then divide by the space needed:
565.48÷70=8.07
With 18 tables and 8 people per table:
18x8=144
So they only have seating for 144 guests.
what is w increased by 15 written out
Answers
Answer:
[tex]\Huge \boxed{w+15}[/tex]
Step-by-step explanation:
The number w is increased by 15.
15 is added to w.
[tex]\Rightarrow w+15[/tex]
Answer:
wwwwwwwwwwwwwww
Step-by-step explanation:
you said 15 w's
A preschool has a student to teacher ratio of 5:2. Yesterday, the total number of students was 55, how many teachers are at the preschool?
Answers
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a
brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically
in her wall while remaining below this maximum. So, she constructs the expression 0.6x+0.4 to measure the height of her wall, where all
constants represent measurements in meters. Which of the following statements are true?
Select all that apply.
Answers
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
In this expression the x is the number of blocks which is multiplied with the height of the block and added to the height of the base to get the total height of the wall.
Suppose we have ten blocks so
0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4
The height of the wall would be 6.4 if there are ten blocks.
The height of the wall depends on the number of blocks used.
The height of the base is constant irrespective of the number of blocks used.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation: