Answer:
f(x) = (x + 5)(x - 1)
Step-by-step explanation:
f(x) = (x + 5)(x - 1) has the roots of -5 and 1, when you set each factor equal to zero.
x + 5 = 0
x = -5
So, -5 is a root of the function.
x - 1 = 0
x = 1
So, 1 is the other root of the function.
f(x) = (x + 5)(x - 1) is the polynomial function with the roots of -5 and 1
You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32. You have one bag of each fruit. Each fruit basket must be identical. What is the greatest number of fruit baskets that you can make using all of the fruit? *
Answer:
4 fruit baskets.
Step-by-step explanation:
Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.
Solve -2(2x + 5) - 3 = -3(x - 1).
The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.
What is distributive property?Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.
-2(2x + 5) - 3 = -3(x - 1)
To solve this equation, we need to first use the distributive property to expand the left side of the equation.
We have:
-4x-10-3 = -3(x - 1)
-4x-13 = -3(x - 1)
Now, we can group the like terms on the left side and the right side of the equation.
On the left side, we have -4x - 13 and on the right side, we have -3x + 3.
-4x-13 = -3x + 3
To solve for x, we can add 3x to left side of the equation and add 13 to the right side.
This results in the equation:
-4x+ 3x = 13 + 3
Now, we can add 3x with -4x of the equation to isolate the x-term.
We have:
-x = 16
x = - 16
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How do you check if a number is rational?
How do you check if a number is irrational?
Thanks!
P.S. 50 points & brainiest to whoever answer first!
Answer:
well it's really simple
Step-by-step explanation:
So the quick and dirty tip for checking whether a number is rational or irrational is to write it in decimal form. If the decimal goes on and on forever and never stops or begins to repeat predictably, it’s irrational. If the decimal stops after a finite number of digits or begins to repeat predictably, it’s rational.
Any number that is able to be written down as a fraction/ratio is a ration number.
An irational number is a number hat has a decimal, but can't be written as a fraction. Ex: Pi/π
Solve the following system of equations for X..
3x – 2y = 8
2x + 2y = 7
Help
A)3
B)-3
C)15
D)1
Answer:
x = 3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
What are the true and false statements for If two planes intersect, then their intersection is a line. Include converse, inverse and contrapositive.
Answer and Step-by-step explanation:
Solution:
Statement:
If two planes intersect their intersection is a line.
Suppose that
P =if two planes intersect.
q = then their intersection is line.
¬p = if two planes do not intersect.
¬q = then their intersection is not a line.
Converse:
If two planes intersect their intersection is a line.
P → q
Inverse:
If two planes do not intersect, then their intersection is not a line.
¬p → ¬q
Contrapositive:
If two planes intersection is not a line, then they do not intersect.
¬q → ¬p
How do we know if a function is a parabola like for instance, this one x^2 + x?
Find the value of x.
Answer:
12
Step-by-step explanation:
1. the rule: 3:6=6:x;
2. if 3/6=6/x, then x=12.
If 10% of x is 20, what is 23% of x? A. 33 B. 46 C. 200 D. 230
Answer:
B. 46
Step-by-step explanation:
20*10=200
200*0.23=46
Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switch to a different account with a fee of $0.20 per check and a $12.50 monthly maintenance fee. Jill wants to estimate the fees for her new account. Below is a summary of the checks she has written from May to August. What is the mean number of checks Jill wrote per month during the last four months? Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account. Estimate the total monthly fees Jill will pay each month for the new checking account.
Step-by-step explanation:
Kindly find attached a summary of the checks she has written from May to August.
A. What is the mean number of checks Jill wrote per month during the last four months
mean= (14+19+23+24)/4
mean= 80/4
mean= 20 checks
B. Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.
the expression for the total is given as
y=12.50+0.2x
y=12.50+0.2(20)
y=12.50+4
y=16.5
=$16.5
C. Estimate the total monthly fees Jill will pay each month for the new checking account.
May= 12.50+0.2(14)
May=12.5+2.8= 15.3
June= 12.50+0.2(19)
June=12.5+3.8= 16.3
July= 12.50+0.2(23)
July=12.5+4.6= 17.1
August= 12.50+0.2(24)
August=12.5+4.8= 17.3
total will be = 15.3+16.3+17.1+17.3= $66
A:20
B:$4.00
C:$16.50
A: 14+19+23+24/4 = 20
B: 20/.2 = 4
C: 12.50+4= 16.50
Which equation represents a line that is perpendicular to the line on the graph ? O y = - 4x + 3 O O y = - 1/4 * x + 1 y = 1/4 * x - 2 O O y = 4x + 4
Answer:
D
Step-by-step explanation:
Answer
Its C notD!!!!!!
Step-by-step explanation:
The other person is wrong im right
The number of students in a chess club decreased from 16 to 12. What is the percent decrease ? Round to the nearest percent.
Answer:
25% decrease
- Trust me it's right
The frequency of the red eyes (p allele) in fruit flies is 63% what is the frequency of the white eye allele (9 allele)?
37%
47%
57%
23%
Answer:
[tex]q = 37\%[/tex]
Step-by-step explanation:
Given
Red Eyes
[tex]p = 63\%[/tex]
Required
Determine Frequency of White Eyes (q)
In probability;
[tex]p + q = 1[/tex]
Make q the subject
[tex]q = 1 - p[/tex]
Substitute 63% for p
[tex]q = 1 - 63\%[/tex]
[tex]q = 37\%[/tex]
Answer:
37%
Step-by-step explanation:
f(x) = x2. What is g(x)?
Answer:
B. g(x)=(2x)^2
Step-by-step explanation:
this is right
6th grade math I mark as brainliest
Describe the similarities and differences between a bar graph and a histogram.
Answer:
Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-10x^2+600x-3588
y=−10x
2
+600x−3588
Answer:
Step-by-step explanation:
The maximum profit will be found in the vertex of the parabola, which is what your equation is. You could do this by completing the square, but it is way easier to just solve for h and k using the following formulas:
[tex]h=\frac{-b}{2a}[/tex] for the x coordinate of the vertex, and
[tex]k=c-\frac{b^2}{4a}[/tex] for the y coordinate of the vertex.
x will be the selling price of each widget and y will be the profit. Usually, x is the number of the items sold, but I'm going off your info here for what the vertex means in the context of this problem.
Our variables for the quadratic are as follows:
a = -10
b = 600
c = -3588. Therefore,
[tex]h=\frac{-600}{2(-10)}=30[/tex] so the cost of each widget is $30. Now for the profit:
[tex]k=-3588-(\frac{(600)^2}{4(-10)})[/tex] This one is worth the simplification step by step:
[tex]k=-3588-(\frac{360000}{-40})[/tex] and
k = -3588 - (-9000) and
k = -3588 + 9000 so
k = 5412
That means that the profit made by selling the widgets at $30 apiece is $5412.
Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].
What is the maximum profit?
Maximum profit, or profit maximisation, is the process of finding the right price for your products or services to produce the best profit.
Here given that,
A company sells widgets. The amount of profit, [tex]y[/tex], made by the company, is related to the selling price of each widget, [tex]x[/tex], by the given equation.
As the maximum profit found in the vertex of the parabola,
Here, [tex]x[/tex] will be the selling price of each widget and [tex]y[/tex] will be the profit.
The number of items sold is [tex]x[/tex].
So, the quadratic equation is:-
[tex]a = -10b = 600c = -3588.[/tex]
Therefore, so the cost of each widget is $[tex]30[/tex].
For the profit:-
[tex]k = -3588 - (-9000) andk = -3588 + 9000 sok = 5412[/tex]
Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].
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Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.
Answer:
[tex]JK = 2[/tex]
Step-by-step explanation:
Given:
[tex]JK = 2x[/tex]
[tex]IJ = 5x[/tex]
[tex]IK = x + 6[/tex]
Required
Solve for JK.
Since J is on IK, we have:
[tex]IK = IJ + JK[/tex]
[tex]x + 6 = 5x + 2x[/tex]
[tex]x + 6 = 7x[/tex]
Collect Like Terms
[tex]7x - x = 6[/tex]
[tex]6x = 6[/tex]
Solve for x
[tex]x = 6/6[/tex]
[tex]x = 1[/tex]
Substitute 1 for x in [tex]JK = 2x[/tex]
[tex]JK = 2 * 1[/tex]
[tex]JK = 2[/tex]
Select the correct answers.
Mila is at a flea market. She has $50 in her wallet. She decides that she will spend $15 on jewelry, $20 on a pair of jeans, $5 on a T-shirt, and $10 on something to eat. She likes a one-of-a-kind T-shirt, but the seller is not ready to sell it for less than $8. She thinks of five ways to deal with this situation. Which two choices indicate a trade-off?
She will try to find another seller selling the T-shirt for a lower price.
She will give up on the T-shirt and use the money to buy better jeans.
She will use some of the money she received from her aunt on her birthday.
She will pay the seller $5 and promise to pay the remainder on another day.
She will buy the T-shirt for $8 and not order juice at lunch.
Answer:
1and3
Step-by-step explanation:
Simplify the expression 4x+3(5y+x
Answer:
Step-by-step explanation:
4x + 3(5y + x)
= 4x (5y + x) + 3 (5y + x)
= 20xy + 4x² + 15y + 3x
Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.
Answer:
[tex]5\leq x\leq 40[/tex]
Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far
Step-by-step explanation:
Number of cookies made by Walter so far = 15
He is asked by his coach to make at least 20 cookies but no more than 55.
Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.
The inequality is [tex]20\leq x+15\leq 55[/tex]
Now solve this inequality.
[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]
Answer: a
Step-by-step explanation: because its right
The width of a rectangle
is 11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find
the length and the width
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
suppose the retail price of an automobile is $28,000 in 1998 and that it increase at 3% per year. a) write a equation exponential function y=a(1 +r) b) use the model to predict the retail of the automobile in 2016
Answer:
......................................
QUESTION 16
What is the value of m If the ratios 3:18 and m:42 are in
proportion?
Answer:
[tex]m = 7[/tex]
Step-by-step explanation:
Given
[tex]3:18 = m:42[/tex]
Required
Solve for m
[tex]3:18 = m:42[/tex]
Convert to fraction
[tex]\frac{3}{18} = \frac{m}{42}[/tex]
Multiply both sides by 42
[tex]42 * \frac{3}{18} = \frac{m}{42} * 42[/tex]
[tex]42 * \frac{3}{18} = m[/tex]
[tex]m = 42 * \frac{3}{18}[/tex]
[tex]m = \frac{42 * 3}{18}[/tex]
[tex]m = \frac{126}{18}[/tex]
[tex]m = 7[/tex]
Why did karen take the kids (;´༎ຶД༎ຶ`)
Wait Jimmy what are you doing here I didn't expect this
so we meet again, brother.
Answer:
Because Karen found your briefcase of $1 bills and some crusty socks.
Get over the divorce Jimmy, she doesn't like fax machines.
A sinking fund is established to discharge a debt of $30,000 in 5 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 4%, compounded semiannually, what is the amount of each deposit?
Answer:
what you have to do is do 30000 * 5 and then do 6 divided by the number and then four times that number and whatever the answer you get be your answer hope this help
Anyone know this because I need help !!!!
Answer: 90 clockwise rotation
Step-by-step explanation:
you can take any point and replace its (x,y) to (y,-x) otherwise called the 90 clockwise conversion and it will map figure C onto figure C'
this is really easy promise
Answer:
A.) slope= 4 and y intercept= 3
Step-by-step explanation:
y = x4+3
Answer:
y = x4+3
Step-by-step explanation:
look at answer
Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.
Answer:
30 pages
Step-by-step explanation:
Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.
What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x=2, and has zeros of −6, 7i, and −7i?
Answer:
The leading coefficient is 3
Step-by-step explanation:
Polynomials
Given the roots of a polynomial x1,x2,x3, it can be expressed as:
[tex]p(x)=a(x-x1)(x-x2)(x-x3)[/tex]
Where a is the leading coefficient.
We are given the roots x1=-6, x2=7i, x3=-7i, thus:
[tex]p(x)=a(x+6)(x-7i)(x+7i)[/tex]
Operating the product of the conjugated imaginary roots:
[tex]p(x)=a(x+6)(x^2+49)[/tex]
Knowing p(2)=1,272 we can find the value of a
[tex]p(2)=a(2+6)(4+49)=1,272[/tex]
Operating:
[tex]a(8)(53)=1,272[/tex]
[tex]424a=1,272[/tex]
Solving:
[tex]a=1,272/424[/tex]
a=3
The leading coefficient is 3
Answer:
3
Step-by-step explanation:
the temperature at noon was -3°C. By 10 Pm on the same day the temperature decrease by 5.4° what was the temperature at 10 pm
Answer:
-8.4
Step-by-step explanation:
Answer:
Probbly -8.4
Step-by-step explanation: