Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70
In your own words, explain how to factor a quadratic expression
Step-by-step explanation:
With the quadratic equation in this form: [tex]ax^2+bx+c=0[/tex]
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Example: 2x^2 + 7x + 3
ac is 2×3 = 6 and b is 7
So we want two numbers that multiply together to make 6, and add up to 7
In fact 6 and 1 do that (6×1=6, and 6+1=7)
How do we find 6 and 1?
It helps to list the factors of ac=6, and then try adding some to get b=7.
Factors of 6 include 1, 2, 3 and 6.
1 and 6 add to 7, and 6×1=6.
Step 2: Rewrite the middle with those numbers:
Rewrite 7x with 6x and 1x:
2x^2 + 6x + x + 3
Step 3: Factor the first two and last two terms separately:
The first two terms 2x^2 + 6x factor into 2x(x+3)
The last two terms x+3 don't actually change in this case
So we get:
2x(x+3) + (x+3)
Step 4: If we've done this correctly, our two new terms should have a clearly visible common factor.
In this case we can see that (x+3) is common to both terms, so we can go:
Start with: 2x(x+3) + (x+3)
Which is: 2x(x+3) + 1(x+3)
And so: (2x+1)(x+3)
Done!
Check: (2x+1)(x+3) = 2x2 + 6x + x + 3 = 2x2 + 7x + 3 (Yes)
Please Mark As Brainliest
My little cuz need help can you help her please
Its Eight grade math
Solve the equation by using substitution
4x-2y=18
y=5x
the is going to be x=3 43- 35 =18
may be that the way it should be
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
Score: 0 of 1 pt
7.1.21
Graph the equation. Select integers for x from – 3 to 3, inclusive.
y=x2-3
Use the graphing tool to graph the equation.
Click to
enlarge
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x^2 - 3[/tex]
Required
The graph of the equation
First, we determine the range of y
[tex]x = -3[/tex]
[tex]y = x^2 - 3 \to y = (-3)^2 - 3 = 6[/tex]
[tex](-3,6)[/tex]
[tex]x = -2[/tex]
[tex]y = (-2)^2 - 3 = 1[/tex]
[tex](-2,1)[/tex]
[tex]x = -1[/tex]
[tex]y = (-1)^2 - 3 = -2[/tex]
[tex](-1,-2)[/tex]
[tex]x=0[/tex]
[tex]y = 0^2 - 3 = -3[/tex]
[tex](0,-3)[/tex]
[tex]x = 1[/tex]
[tex]y= 1^2 - 3 = -2[/tex]
[tex](1,-2)[/tex]
[tex]x = 2[/tex]
[tex]y =2^2 - 3 = 1[/tex]
[tex](2,1)[/tex]
[tex]x = 3[/tex]
[tex]y = 3^2 - 3 = 6[/tex]
[tex](3,6)[/tex]
See attachment for graph
What is the solution set to the equation
15 – 4x = x2 - 6x ? Show your work algebraically.
Answer:
The solution of given expression = 5 , -3
Step-by-step explanation:
Given expression;
15 - 4x = x² - 6x
Find:
The solution of given expression
Computation:
15 - 4x = x² - 6x
x² - 6x + 4x - 15 = 0
x² - 2x - 15 = 0
x² - (5 - 3)x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x - 5)(x + 3) = 0
So,
x - 5 = 0 and x + 3 = 0
x = 5 and x = -3
The solution of given expression = 5 , -3
A yogurt shop has 9 different flavors and 20 toppings. How many different combinations of single flavor, one topping yogurt can you create?
Me jackson buys 4 kilograms of peanuts at the sale how many grams of peanuts does he get in all
Keep in mind : buy 2 kg peanuts get 300 g free
Answer:
4600 grams of peanuts
Step-by-step explanation:
For 2 kg of peanuts the customer will get 300 g free.
So if 4 kg of peanuts the customer will get 600 g free.
1kg = 1000g
If 4kg, thus it is 4000g
All mass of peanut the customer gets is 4000g + 600g = 4600g of peanuts.
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).
Answer:
parallelogram
Step-by-step explanation:
opposite sides are parallel and equal
2) If a=9. c=15. then b=?
Answer:
I think it's 12
Step-by-step explanation:
sorry if I'm wrong
Answer: B= 12
Step-by-step explananoin
Alr A squared plus B squared equals C squared
So C squared minus A Squared equals B squared
15 Squared minus 9 squared equals 144
Do the unsquare thing and you get 12
use figure 10.5 on page 391 for the percent of coverage to determine the a) amount of coverage for the garage, c)amount for loss of use, and d) amount of covergae for personal property. 4) replacement value: $27-0000; coverage:80%
Answer:
qwetyuookvxscv
fdfhputetu you ggvkpr
fhhjkkpopuu
What is the factors of x^2-16x+64
Answer:
(x-8)² or (x-8)(x-8)
Step-by-step explanation:
x^2-16x+64
x^2 -8x -8x +64
x (x-8) - 8(x-8)
(x-8) (x-8)
(x-8)^2
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 30 cm, find its length and width.
Answer:
width - 5cm
length - 10cm
Step-by-step explanation:
Let's define the variable w as the width of the rectangle. The length of the rectangle would be 2w as given by the problem. A form of the perimeter of a rectangle formula is:
P = 2(l + w)
Where P is the perimeter, l is the length, and w is the width. We substitute our length, width, and perimeter to get:
30 = 2(2w + w)
You can simplify to get:
30 = 2(3w)
and divide by 6 on both sides to isolate w:
w = 5cm - the width is 5 cm
The length is twice the width, and 2 x 5 is 10, so 10cm is the length.
Why is it important for a company to create an income statement?
WILL GIVE BRAINLIST
FOR FIND THE MODE OR MODES MATH
X
X
X
X
Answer:
24
Step-by-step explanation:
mode is the number that occurs the most and 24 is there 3 times so 24 is the mode
20,24,24,24,46,49,49
which is the largest fraction?
1/2
2/5
8/9
1/3
Answer:
8/9
Step-by-step explanation:
1/2= 0.5
2/5= 0.4
8/9= 0.8
1/3= 0.3
Answer:
8/9, hope this helps
Step-by-step explanation:
I need help with alot of assignments.
Answer:
71
Step-by-step explanation:
if you add 15+15+11+11+19 you will be getting 71
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.361.351.331.661.581.321.381.421.901.54
At the 0.050 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
A.) State the null hypothesis and the alternate hypothesis.
H0: μ ≤ _____
H1: μ >_____
B.) State the decision rule for 0.050 significance level. (round to 3 decimal places)
C.) Compute the value of the test statistic. (round to 3 decimal places)
D.) At the 0.050 level, can we conclude that water consumption has increased?
E.) Estimate the p-value.
Answer:
H0: μ ≤ 1.30
H1: μ > 1.30
|Test statistic | > 1.833 ; Reject H0
Test statistic = 3.11
Yes
Pvalue = 0.006
Step-by-step explanation:
H0: μ ≤ 1.30
H1: μ > 1.30
Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54
Xbar = 14.84 / 10 = 1.484
Standard deviation, s = 0.187 (calculator)
Decison rule :
|Test statistic | > TCritical ; reject H0
df = n - 1 = 10 - 1 = 9
Tcritical(0.05; 9) = 1.833
|Test statistic | > 1.833 ; Reject H0
Test statistic :
(xbar - μ) ÷ (s/√(n))
(1.484 - 1.30) ÷ (0.187/√(10))
0.184 / 0.0591345
Test statistic = 3.11
Since ;
|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased
Pvalue estimate using the Pvalue calculator :
Pvalue = 0.006
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
There are 30 students in a class and 18 of them own at least one pet.
What fraction of the class own pets?
Give your answer in its simplest form.
Answer:
18/30=3/5
Step-by-step explanation:
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
-19x + 32 = -24x - 3
Answer:
x= -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
-19x+32=-24x-3
-19x+24x=-3-32
5x=-35
X=-35/5= -7
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
x = ?
Find the composite function 20 points and brainliest
A lambda expression is typically used:_________.
a. for functions that are only used once
b. for simple functions
c. for functions that need to accept multiple data types
d. all of the above
e. a and b only
Answer:
e. a and b only
Step-by-step explanation:
Question - A lambda expression is typically used ?
Solution -
The correct option is - e. a and b only
Reason -
As we know that, lambda expression is used to define anonymous function object.
So,
It is used when the function is short or the function is simple.
And it is used for the functions that are only used once.
So,
a. for functions that are only used once
b. for simple functions
a and b both parts are correct.
So,
The correct option is - e. a and b only