Answers
(4x-x^2)-2x=2x-x^2
To write the height h of the rectangle as a function of x, you need to understand the relationship between the height and the other variables involved.
To write the height h of the rectangle as a function of x, you need to understand the relationship between the height and the other variables involved. In a rectangle, the height is typically perpendicular to the base.
So, if we assume that x represents the base length, then the height h can be written as a function of x using an equation.
For example, if the rectangle has a fixed width, the height can be calculated using the following equation: h = f(x), where f is the function that describes the relationship between the base length x and the height h.
Learn more about Rectangle here:https://brainly.com/question/34750862
#SPJ3
Related Questions
A group of friends share slices of pizza.If each person gets 5 slices there will be 4 slices short.How many slices of pizza are there to share?
Answers
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
Answers
Answer:
the common difference of the sequence (d) = -3
Step-by-step explanation:
Given sequence is 1st term, 2nd term, 3rd term
= 5, 2, -1
It is an arithmetic sequence.
The common difference (d) = second term - first term
d = 2 - 5
d = -3
Therefore, the common difference of the sequence (d) = -3
Hope this will helpful.
Thank you.
Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20
Answers
subtract 7.1 from both sides to isolate the variable, x.
5.8 = x
5.8 is your answer.
a 12000-gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this pool 3/4 full?
Answers
12000* 3/4
=9000 gallons
If the rate is 40 gallons per minute,
9000/40
=225 minutes
It would take 225 minutes to fill up 3/4 of the pool.
Hope I helped :)
The number of minutes taken to fill the pool in three-fourths full is 225.
Given that,
There is a 12,000-gallon pool filled at the rate of 40 gallons per minute.And, there is three-fourths full.Based on the above information, the calculation is as follows:
[tex]= (12000 \times \frac{3}{4}) \div 40[/tex]
= 225 minutes
Therefore we can conclude that the number of minutes taken to fill the pool in three-fourths full is 225.
Learn more: brainly.com/question/14741538
The sum of two numbers is 28. one number is 14 more. find the numbers
Answers
_______________________________________
Explanation:
_______________________________________
The numbers are: "x" and "x + 14" .
x + (x + 14) = 28 . Solve for "x" ; and then solve for "x + 14" .
_______________________________________
→ x + (x + 14) = 28 ;
Rewrite as:
→ x + x + 14 = 28 ;
→ 1x + 1x + 14 = 28 ;
→ 2x + 14 = 28 ;
Subtract "14" from each side of the equation;
→ 2x + 14 − 14 = 28 − 14 ;
→ 2x = 14 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 2x / 2 = 14 / 2 ;
→ x = 7 .
_________________________________________
So; one of the numbers is: " 7 " .
The other number is: " x + 14 " ; which equals: " 7 + 14 = 21".
The other number is: "21 " .
_________________________________________
The numbers are: "7 " and "21 " .
_________________________________________
I need help! THIS IS NOT MULTIPLE CHOICE!!!! The time needed to roast a chicken depends on its weight. Allow at least 20 min/lb for a chicken weighing as much as 6 lb. Allow at least 15 min/lb for a chicken weighing more than 6 lb. a. Write two inequalities to represent the time needed to roast a chicken. b. Graph the inequalities.
Answers
if y is the time required to cook the bird and x is number of chicken lbs
y = 20x when x ≤ 6
y = 15x when x > 6
To Graph:
Have the y-axis (minutes) go by 5's since slopes of both equations are multiples of 5. The y-axis, I would suggest go to atleast 150 minutes for a 10 lbs chicken. The x-axis is in lbs and can go by 1 lb marks.
Start with the first equation where the chicken is smaller than or equal to 6 lbs. (0,0) (1,20), (2,40) (3, 60), (4,80), (5,100) to 6lbs (6,120). If the equation is EQUAL TO the point and the line will be SOLID.
for the second equation, the chicken is larger than 6 lbs. Start with x = 6 but the point will be OPEN and the line DASHED because it's NOT EQUAL TO. (6,90) (7,105) (8,120) (9,135), (10, 150) .... and on arrow to show this
Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at the overtime wage. He earned $66. Find his regular
Answers
Choose the product. 4p^3 3(p 2^ + 8p - 3)
4p^5 + 12p^4 + 7p^3
4p^6 + 44p^3
4p^3 - 12p^2 +32p^4
4p^5 + 32p^4 -12p^3
Answers
I hope this helps.
Answer: The correct option is
(D) [tex]4p^5+32p^4-12p^3.[/tex]
Step-by-step explanation: We are given to choose the correct expression for the following product :
[tex]P=4p^3(p^2+8p-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the above product, we need to multiply 4p³ with every term within the bracket.
The required product (i) is
[tex]P\\\\=4p^3(p^2+8p-3)\\\\=4p^{3+2}+32p^{3+1}-12p^3\\\\=4p^5+32p^4-12p^3.[/tex]
Thus, the required product is [tex]4p^5+32p^4-12p^3.[/tex]
Option (D) is CORRECT.
How can you find a unit rate when given a rate?
Answers
Hope this helped :)
How do I write the interval(s) for which f(x) is greater than or equal to 0 (interval notation)
Answers
-2. This could be expressed as (-infinity, -2). Also, all x values greater than 0 also lead to a y-value greater than 0. Thus, another interval would be (0, infinity). Thus, the answer is (-infinity, -2) and (0, infinity).
To write intervals where f(x) is greater than or equal to 0, solve the equation f(x) >= 0 for x. The solutions are then expressed in interval notation. For instance, x >= 3 is written as [3, infinity).
To write the interval for which f(x) is greater than or equal to 0 in interval notation, you first need to establish where the function is above or touching the x-axis. With algebraic functions, you simply solve the equation f(x) >= 0 for x to find where the function is non-negative. You then write these solutions in interval notation. For example, if your solution was x >= 3, you would write this in interval notation as [3, infinity). Also, keep in mind that round brackets ( ) are used when the number is not included in the interval while square brackets [ ] are used when the number is included.
Learn more about Interval Notation here:
https://brainly.com/question/31413502
#SPJ3
The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros of the function?
A) The function has one imaginary zero.
B) The function has one real zero and two imaginary zeros.
C) The function has one real zero and one imaginary zero.
D) The function has one imaginary zero and two real zeros.
Answers
Your polynomial has real coefficients and is of degree 3.
It can have 0 complex roots, or it can have 2 complex roots.
It cannot have only 1 complex root.
The correct answer is
D) The function has one imaginary zero and two real zeros.
x = 3, 4i, -4i
Write a number that is greater than 1 in scientific notation. explain how you know it is greater than 1
Answers
The positive power of 10 shows that the number is greater than 1.
What is scientific notation?A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less.
Given:
number that is greater than 1 in scientific notation.
So, to get know the number is greater than 1 we can tell it by seeing the power of 10.
If the powers of 10 is positive then the number is also greater than 10.
Learn more about scientific notation here:
https://brainly.com/question/18073768
#SPJ5
The sum of two integers is 9 their difference is 5 what are the two integers
Answers
solve for x
x-y=5 so substitute x by 9-y
9-y-y=5
9-2y=5 isolate
9-2y-9=5-9
-2y=-4 divide both sides by -2
-2y/-2=-4/-2
y=2 and x=9-2=7
check for x+y=9
7+2=9
check for x-y=5
7-2=5 so x=7 and y=2
The values of the two integers are 7 and 2 respectively.
Let the two integers be a and b respectively.In this exercise, you're required to determine two integers from the given word problem.
Thus, we would write a mathematical (algebraic expression) for the sentence.
Translating the word problem into an algebraic expression, we have;
The sum of two integers is 9;
[tex]a + b =9[/tex] ....equation 1.
The difference between the two integers is 5;
[tex]a - b = 5[/tex] equation 2.
Solving the systems of linear equations by using the elimination method, we have:
[tex]2a = 14[/tex]
Dividing both sides by 2, we have:
[tex]a = \frac{14}{2}[/tex]
a = 7
To find the value of y:
[tex]a + b =9\\\\7 +b=9\\\\b =9-7[/tex]
b = 2
Find more information: https://brainly.com/question/4728821
What is the value of the expression? ( 5/2 ) ^2 +3/4 ^3
Answers
5/2 ^2 = 6 1/4 = 6.25
3/4^3 = 27/64 = 0.4201875
6 1/4 + 27/64 = 6 43/64 (mixed number)
6.25 +0.421875 = 6.671875 (decimal)
not sure what format you need, since the question was in fraction form, I think you need to answer using a mixed number though.
karen has 12 apples. she gives 3 to john, 4 to lennard, and 2 to tracy. she then takes away 2 from john, 1 from lennard, and 1 from tracy. how many apples does she have now?
Answers
Let's calculate how many apples the other people have and subtract how many she took away
John; 3-2=1
Lenard; 4-1=3
Tracy; 2-1=1
Now let's add the answers up to know how many she has given out
1+3+1=5
So that means she has lost 5 apples. To find how many she has left will be the total minus the apples given out.
12-5=7
She has 7 apples left
Hope that helped. Have a nice day
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have one side = 27.6 cm
Hypotenuse = 30 cm
Length of remaining side [tex]=\sqrt{30^2-27.6^2}=11.76cm[/tex]
Area of right angled triangle [tex]=\frac{1}{2}\times \texttt{Product of lengths of 2 sides other than hypotenuse}[/tex]
Area [tex]=\frac{1}{2}\times 27.6\times 11.76=161.7cm^2[/tex]
Option B is the correct answer.
Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13
is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
Answers
1. Add the two given fractions.
2. Subtract the sum from 10 to find your answer.
Answer:
5 2/3
Step-by-step explanation:i thought this problem was literally impossible to do and its stopped me from progressing but i finally found out the answer and here it is
A building that is 15 meters tall casts a shadow that is 6 meters long. at the same time, a tree casts a shadow that is 9 meters long. how tall is the tree
Answers
Final answer:
To determine the height of the tree, we use proportions based on the shadow lengths. Since the building is 15 meters tall with a 6-meter shadow and the tree's shadow is 9 meters, the height of the tree is found to be 22.5 meters.
Explanation:
You're asking how to find the height of a tree based on its shadow's length using similar triangles. The building is 15 meters tall and casts a 6-meter-long shadow. We can set up a proportion since the tree and the building have the same sun angle, thus their heights and shadows are in proportion. We will compare the building's height to its shadow, and then set this ratio equal to the tree's height to its shadow.
Using the formula for proportions:
Building height / Building shadow = Tree height / Tree shadow
Which translates to:
15 meters / 6 meters = Tree height / 9 meters
Now we solve for the Tree height:
Tree height = (15 meters / 6 meters) * 9 meters = 22.5 meters
The height of the tree is 22.5 meters.
The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price?
Answers
Answer:
D. You can get the lowest price at Store C.
Step-by-step explanation:
Edge 2021
To rent a certain meeting room, a college charges a reservation fee of $37 and an additional fee of $6.70 per hour. the chemistry club wants to spend less than $90.60 on renting the meeting room. what are the possible amounts of time for which they could rent the meeting room? use t for the number of hours the meeting room is rented, and solve your inequality for t .
Answers
6.70t < 90.60 - 37
6.70t < 53.6
t < 53.6 / 6.70
t < 8 <=== they could rent the meeting room for less then 8 hrs
What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.
Answers
-5x+30=10x
Second, you add 5 to both sides which is kind of like combining like-terms.
30=15x
Finally, you divide by 15 on both sides to get x by itself which will leave you with the solution to the equation.
2=x
That’s it.
Answer:
Step-by-step explanation:
-5(x -6) = 10x . . . . . given
-5x +30 = 10x . . . . distributive property of multiplication over addition
30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)
2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)
hope this helped
A cyclist rides her bike at a speed of 12 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 5 minutes? Do not round your answers.
Answers
assume that y varies inversely with x. if y=27 when x=12, find x when y=-12.
Answers
27=k/12 => k=27*12=324
so the equation is y=324/x
when y=-12, -12=324/x => x=324/(-12)=-27
Please check and correct the following answers:
What decimal is equivalent to 72/100?
Is the answer 0.72?
Express 0.72 as a fraction in simplest form.
Is the answer 18/25?
What makes the statement true? 9^-2 = ?
Is the answer 1/81
Answers
A: What decimal is equivalent to 72/100?
Well, 72/100 means you have 72 out of 100. Meaning it's not a whole number, so this means as a decimal, your answer would be behind the decimal point.
Behind the decimal, you have 3 main places. Tenths, Hundredths, and Thousandths. It goes much further than that, of course, but most don't have to worry about those. 72/100 is represented as 72-hundredths, or .72
You are correct.
B: .72 as a fraction is 72/100. Simply divide by 2 until you simply can't anymore, this saves you time. 72/100 divided by 2 equally is 36/50. This divided by 2 equally is 18/25. This is the lowest form, you are correct.
C: Well, also simple. We know that when you have an exponent, you multiply the number by itself. 9^2 is 81, because 9*9=81. HOWEVER, this applies to only positive exponents. With negative exponents, you have to make it a fraction as 1. So, your answer is indeed 1/81
You are correct on all! Great job!
~Hope this helps!
Suppose g(x) = f(x + 2) – 3. Which statement best compares the graph of g(x) with the graph of f(x)?
Answers
Answer:
B. the graph of g(x) is shifted 2 units right and 3 units up
Step-by-step explanation:
just got it right
We conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. Option D is the correct answer.
The given function is g(x) = f(x + 2) – 3.
What is a function?A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
To shift a function right:
Subtract inside the function's argument. For example, f(x)-b is basically f(x) shifted b units to the right.
Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.
To move a function down:
Subtract outside the function. For example, f(x)-b is basically f(x) moved down 3 units.
So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units down.
Therefore, we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. So, option D is the correct answer.
To learn more about a function visit:
https://brainly.com/question/12431044.
#SPJ2
The ratio of the angle measures of the acute angles in a right triangle is 1:2 . What is the measures of these angles a. 30 and 60 b. 45 and 90 c. 60 and 120 d. 10 and 20
Answers
Answer:
30 & 60
Step-by-step explanation:
The tutor is correct, besides the fact that the interior angles would equal 180, not 190. Typos happen.
Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.
What is the youngest age Julio can be?
Enter your answer in the box.
years
Answers
f = 4j, j+f = 55, j + 4j = 55, 5j = 55, j = 11
So youngest Julio can be is 11 years old.
What is the approximate value of x? Round to the nearest tenth.
A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm
Answers
x = 6cm * sin(50) = 4.59
rounded to 4.6
Answer is C
Answer:
option C is correct
The approximate value of x is, 4.6 cm(nearest to tenth)
Step-by-step explanation:
In the given figure; the triangle is right angle triangle:
Label the figure:
then, the triangle XYZ is right angle triangle.
Using trigonometric ratio:
The ratio of the opposite side of a right triangle to the hypotenuse is called the sine. i.e,
[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]
using sine ratio in triangle XYZ:
[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]
Substitute the value of XY = x cm and XZ = 6 cm in above ratio:
[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or
[tex]0.76604444247801 = \frac{x}{6}[/tex]
Simplify:
[tex]x= 4.59626665[/tex] cm
Therefore, the approximate value of x nearest to tenth is, 4.6 cm
create a real world problem that represents 5/6 + 1/8.
Answers
1/8 =6/48
5/6= 40/48
so the answer is 46/48 or 23/24
hope i helped
Answer:
me and my friend are buying some pie im pay for it so i get 5/6 and he gets 1/8 how much pie did we buy
1/8 =6/48
5/6= 40/48
so the answer is 46/48 or 23/24
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.
if m<BAC=22, then m<ABC= ?
Answers
m<ABC = 180 - 2(22)
m<ABC = 180 - 44
m<ABC =136
Answer: m∠ABC=136°
Step-by-step explanation:
In the given figure we have a coat hanger is in the shape of isosceles triangle ABC.
Sides AB and BC are congruent.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Therefore, in ΔABC, we have
m∠BAC=m∠BCA
If m∠BAC=22°, then m∠BCA= 22°
By angle sum property , we have
m∠BAC+m∠BCA+m∠ABC=180°
⇒22°+22°+m∠ABC=180°
⇒m∠ABC+44°=180°
⇒m∠ABC=180°-44°=136°
⇒m∠ABC=136°
Therefore, If m∠BAC=22°, then m∠ABC=136°