In the expression 300 + 200/x for Alysa's party, the variable 'x' stands for the number of attendees to ensure the party cost stays within the $5.00 per person limit.
In the expression 300 + 200/x, the variable x represents the number of people attending Alysa's sweet sixteen birthday party.
Alysa's mom has set a maximum cost of $5.00 per person, and the total cost for renting the hall is $300, which is a fixed cost. To ensure the party cost does not exceed $5.00 per person, the cost per person is calculated by dividing the additional $200 by the number of attendees (x).
20 POINTS
Which answer best describes the complex zeros of the polynomial function?
f(x) = x^3 + x^2 − 8x − 8
(A) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.
(B) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two locations.
(C) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
(D) The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one location.
answer : option C
[tex]f(x) = x^3 + x^2 - 8x - 8[/tex]
Lets find the number of zeros by factoring
[tex]0 = x^3 + x^2 - 8x - 8[/tex]
Group first two terms and last two terms
[tex]0 = (x^3 + x^2) (- 8x - 8)[/tex]
Factor out GCF from each group
[tex]0 = x^2(x + 1)-8(x + 1)[/tex]
[tex]0 = (x^2-8)(x + 1)[/tex]
Now we set each factor =0 and solve for x
0 = (x^2-8) and (x + 1)=0
[tex]x^2 = 8[/tex] and x = -1
[tex]x= 2+-\sqrt{2}[/tex] and x= -1
So we have three real zeros
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
a ratio of two equivalent measures giving in different units is a ________
Answer:
"conversion factor"
Step-by-step explanation:
Answer:
Conversion factor.
Step-by-step explanation:
A conversion factor may be a ratio of two proportionate measures in completely different units.
Find the value of x that will make L||M.
Please help me on this!!!! I need this done ASAP!!!!
The two given angles are Supplementary angles and when added together need to equal 180 degrees.
2x +5 + x-5 = 180
Simplify ( Combine like terms):
3x = 180
Divide both sides by 3:
x = 180 / 3
x = 60
Which is the correct classification and decimal expansion of 5/8
5/8 to decimal= .625
Hope this helps!
rational number can be represented by a fraction with an integer numerator and integer denominator. An irrational number cannot.
0.625 = 625/1000 so it is rational.
hope this helps!
PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU
Find the value of x that makes m || n
Answer:
[tex]107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ[/tex]
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
[tex]x+73^\circ=180^\circ[/tex]
[tex]x=107^\circ[/tex]
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
[tex]147^\circ=x+14^\circ[/tex]
[tex]x=147^\circ-14^\circ[/tex]
[tex]x=133^\circ[/tex]
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
[tex]180^\circ-3x=2x+20^\circ[/tex]
Solving for 'x' we get:
[tex]180^\circ-20^\circ=3x+2x[/tex]
[tex]5x=160^\circ[/tex]
[tex]x=32^\circ[/tex]
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
[tex](7x-11)^\circ=(4x+58)^\circ[/tex]
[tex]7x-4x=58^\circ+11^\circ[/tex]
[tex]3x=69^\circ[/tex]
[tex]x=\frac{69}{3}=23^\circ[/tex]
what is the prime factorization of 54
Hello there!
This question is so super easy to me.
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to find prime factorization of 54.
[tex]2*3*3*3=54[/tex]
Then you can also written with exponents.
[tex]2*3^3[/tex]
You can also used factors of 54.
Factors of 1, 2, 3, 6, 9, 18, 27, 54
Answer⇒⇒⇒⇒⇒[tex]2*3^3[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
The prime factorization of 54 is [tex]2 \times 3^3[/tex].
Given that,
The number is 54.We have to find out the prime factorization of the above number.Based on the above information, the calculation is as follows:
The prime factorization of 54 is
= [tex]2 \times 3^3[/tex].
Learn more: brainly.com/question/6201432
I need help on this question
Because they were flipped and turned
Q(x)=4x^2-1 find Q(-7)
[tex]Solution, \mathrm{Isolate}\:x\:\mathrm{for}\:If\left(I,\:x\right)Q\left(x\right)=4x^2-1:\quad x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
[tex]Steps: If\left(I,\:x\right)Q\left(x\right)=4x^2-1[/tex]
[tex]\mathrm{Switch\:sides}, 4x^2-1=If\left(I,\:x\right)Q\left(x\right)[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}, 4x^2-1+1=If\left(I,\:x\right)Q\left(x\right)+1[/tex]
[tex]\mathrm{Simplify}, 4x^2=If\left(I,\:x\right)Q\left(x\right)+1[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4, \frac{4x^2}{4}=\frac{If\left(I,\:x\right)Q\left(x\right)}{4}+\frac{1}{4}[/tex]
[tex]\mathrm{Simplify}, x^2=\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}, x=\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\:x=-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
The correct answer is [tex]x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
ratios are great am I right
Answer:
3)198
4)3:4
Step-by-step explanation:
3)
144/8= 18
3*18= 54
144+54= 188
4)
18/2=9
9*3=27
27-3=24
18:24 = 3:4
there are 500 sheets of paper in a book. Each sheet is 0.01 cm thick. The book's front and back cover are each 0.1 cm thick. what is the total thickness of the book and its cover?
500*0.01+0.1*2=
5+0.1*2=
5+0.2=
5.2 cm thick.
I hope this helped!
The total thickness of the book, including its front and back covers, is calculated to be 5.2 cm.
The question asks for the total thickness of a book including its covers. The calculation combines the thickness of 500 sheets of paper and the front and back covers. Here is a step-by-step breakdown:
Thickness of one sheet: 0.01 cm
Total thickness of all sheets: 500 sheets imes 0.01 cm/sheet = 5 cm
Thickness of one cover: 0.1 cm
Total thickness of both covers: 2 covers imes 0.1 cm/cover = 0.2 cm
Total book thickness: 5 cm (sheets) + 0.2 cm (covers) = 5.2 cm
Therefore, the total thickness of the book with its covers is 5.2 cm.
Which statement about the equation is true? x + 2 = x + 4
A.The equation has no solution.
B.The equation has one solution.
C.The equation has infinitely many solutions.
Answer:
The answer would be UNSOLVABLE
this is true because there is no way they can equal the same number
Hope this helped:)
Step-by-step explanation:
The length of a rectangle is three times it’s width. It’s area is 75 inches squared. Find the length and width of the rectangle
The answer is 225 because 75x3 =225
Final answer:
The length of the rectangle is 15 inches and the width is 5 inches, determined by setting up an equation using the given conditions that the area is 75 square inches and the length is three times the width.
Explanation:
The question asks us to find the length and width of a rectangle given that the length is three times the width and the area of the rectangle is 75 square inches. To solve this, let's denote the width of the rectangle as w inches. The length would then be 3w inches since it is three times the width. The area of a rectangle is found by multiplying the length and width, so we can write the equation:
Area = length × width
75 = 3w × w
To find the width (w), we need to solve the quadratic equation:
w² × 3 = 75
w² = 75 / 3
w² = 25
To find w, we take the square root of 25, which gives us:
w = 5 inches
Now that we have the width, we can easily find the length by multiplying the width by 3:
Length = 3 × 5
Length = 15 inches
Therefore, the width of the rectangle is 5 inches and the length is 15 inches.
all numbers that have 9 as a factor also have 2 as a factor ?
True or False
Numbers with factors of 9:
18, 27, 36, 45, 54, 63, 72, 81
18, 36, 54 and 72 may have factors of 2, but the other do not.
This means that not all numbers with 9 as a factor will also have 2 as a factor.
HELP ME PLEASE !!!!
Sarah is 5 feet and 2 inches tall. What would her height be in centimeters?
(1 foot = 12 inches)( 1 inch = 2.54 centimeters)
A.24.409 centimeters B.
65.08 centimeters
C. 157.48 centimeters
D. 158.496 centimeters
For this one, an easy way to solve it is to break it down into parts. First lets convert 5 feet to inches.
Multiply the number of feet by how many inches are in one foot.
5 times 12= 60 in
Now just add the like terms
60 in + 2 in= 62 inches.
Now we see that Sarah is 62 inches tall, now we can convert to centimeters the same way.
62 times 2.54= 157.48
So that makes C your answer, Sarah is 157.48 cm tall.
Final answer:
To convert Sarah's height to centimeters, multiply her total height in inches (5 feet and 2 inches, which is 62 inches) by 2.54 cm/inch to get 157.48 centimeters. So, the correct answer is option C, 157.48 centimeters.
Explanation:
To convert Sarah's height from feet and inches to centimeters, you start by converting each measurement to inches, and then convert the total number of inches to centimeters. Sarah is 5 feet and 2 inches tall. One foot is equal to 12 inches, so first we convert her height in feet to inches: 5 feet × 12 inches/foot = 60 inches. Then, add 2 inches to this to get her total height in inches: 60 inches + 2 inches = 62 inches.
Now, convert inches to centimeters using the conversion factor 1 inch = 2.54 centimeters: 62 inches × 2.54 cm/inch = 157.48 centimeters. Therefore, the correct answer is C.
how to solve these
1. 8/2 * 6
2. 5/2 * 7
3. 7/2 * 1
1. 8/2 * 6
We multiply the numerator with the whole number and then simplify the fraction.
8 *6 = 48. then divide by 2 gives us 24
[tex]\frac{8}{2} * 6= \frac{48}{2}=24[/tex]
2. 5/2 * 7
We multiply the numerator with the whole number and then simplify the fraction.
5 times 7 = 35
[tex]\frac{5}{2} * 7= \frac{35}{2}[/tex]
3. 7/2 * 1
We multiply the numerator with the whole number and then simplify the fraction.
7 times 1 =7
[tex]\frac{7}{2} * 1= \frac{7}{2}[/tex]
Question 1. 8/2 * 6
Solution:
8/2 * 6 = 48/2 = 24
Answer of question 1 is 24.
Part 2.Question 2. 5/2 * 7
Solution:
5/2 * 7 = 35/2 = 17.5
Answer of question 2 is 17.5.
Part 3.Question 3. 7/2 * 1
Solution:
7/2 * 1 = 7/2 = 3.5
Answer of question 3 is 3.5.
11 ≤ p + 5 (inequalities)
Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the largest number
Let consecutive odd numbers be
x , x+2 , x+4
Smallest number =x
Middle number =x+2
Largest number =x+4
According to condition (x) +(x+2) -27 = 3(x+4)
x+x+2-27= 3(x+4)
2x-25= 3x+12
Subtracting 2x and 12 both sides
2x-25-2x-12=3x+12-2x-12
-37= x this is smallest odd number.
Other two odd numbers are (x+2)= (-37+2)=(-35)
& (x+4)=(-37+4)=(-33)
so three consecutive odd numbers are -37 ,-35 , -33
HELP ASAP I WILL GIV YOU BRAINLIST! Jim ran 200 meters in 30.4 seconds. Mac ran 100 meters in 30.4 seconds. Who ran faster?
You would want to look for who ran the longest distance in the shortest amount of time, Jim ran 200 meters in the same amount of time it took Mac to. Therefore, Jim is faster for that reason.
Answer,
Jim ran faster
-Laura
Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)
Hey there! :)
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
the water was pumped out of a backyard pond.what is the domain this graph?
Answer:
C) Real numbers from 0 to 8.
Step-by-step explanation:
We have been given a graph between depth (dependent variable) and time (independent variable). We need to figure out the domain of the given graph.
We know that domain is the set of values of independent variable for which the graph produces a finite value of dependent variable.
From the graph, we can see that for values of time between 0 and 8 minutes, the graph produces a finite value of depth. Therefore, domain of the given graph is all real numbers between 0 and 8 (inclusive).
measure equivalent to 5 meters
Answer:
since no one got the point on 2018 i will be getting it thxxxx
Step-by-step explanation:
Help me 15 points on the line
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Answer:
Infinite number
Step-by-step explanation:
Two sides of a rectangular fence are 5 5/8 feet long. The other two sides are 6 1/4 feet long. What is the perimeter?
What is the lowest common denominator for 2/6and3/4
The lowest common denominator would be 12
other words [tex]\frac{4}{12}[/tex] and [tex]\frac{9}{12}[/tex]
to find the lowest common denominator, you need to compare the multiplication product each number can get.
if you borrow $5,000 to remodel a home at 5% interest rate, what is the principal?
$5,000
$5
$5,250
5%
you would end up paying $4,750
but the answer is A) $5000
mark brainliest please it would help alot
:)
Answer:
The principal would be $ 5000.
Step-by-step explanation:
Since, the principal is the initial amount of a loan or we can say that the borrowed amount is called principal amount of a loan,
Given,
$5,000 was borrowed to remodel a home at 5% interest rate,
Thus, the borrowed amount = $ 5000
⇒ Principal amount = $ 5000
Hence, first option is correct.
(4x+2)(3x-7) solve for x and who ever gets it get the brainly crown
The answer is
=12x^2 - 22x - 14
Show your work and solve
Hello again,
You multiply 53 beats to 5 seconds: 53 x 5 = 265
hope that helps :)
what is the solution for 4x-9=3.5x-9?
Answer:
31.5
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
Is this correct??please tell me
7(4n-6)= - 182
28n-42= -182
+42 +42
28n/28= -140/28
n= -5
This is incorrect, 7x4n=28n and -7x6=-42. There is no way to get -182.
mr ramos thumb measures 4 cm. Express this length in meters
Hello There!
Mr. Ramos thumb measures 0 meters. 100cm=1m