I need help!!!!!!!!!!! PLEASE EXPLAIN! I'M SO CONFUSED! PLEASE!
Answer:
2
Step-by-step explanation:
There are four 11-year olds and x amount of 14-years old.
We are given the average of this group of 11 and 14 year olds is 12.
This gives us the following equation to solve for x:
[tex]\frac{4(11)+x(14)}{4+x}=12[/tex]
Doing some simplifying on the left and writing 12 as 12/1 on the right because I'm going to cross-multiply in the step to follow:
[tex]\frac{44+14x}{4+x}=\frac{12}{1}[/tex]
Cross multiplying:
[tex]1(44+14x)=(4+x)(12)[/tex]
Distribute:
[tex]44+14x=48+12x[/tex]
Subtract 12x on both sides:
[tex]44+2x=48[/tex]
Subtract 44 on both sides:
[tex]2x=4[/tex]
Divide both sides by 2:
[tex]x=2[/tex]
There are two 14-year olds.
Let's confirm.
You have four 11 year olds and two 14 years old.
So you have:
11,11,11,11,14,14
We want to find the average of this set of numbers.
You add the numbers and divide by the number of numbers.
[tex]\frac{11+11+11+11+14+14}{6}=\frac{72}{6}=12[/tex]
This is the average the problem wanted us to obtain so the work we did above is correct.
Calculate the slope of the line that contains the points (-2, 3) and (5,-3).
Answer:
Step-by-step explanation:
Answer:
-6/7
Step-by-step explanation:
To find the slope of a line given two points on that line, you can use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_2}[/tex] where you have points [tex](x_1,y_1) \text{ and } (x_2,y_2)[/tex].
When using that formula, do not put the subscripts when plugging in the answers.
Something that is equivalent to that formula and I think is easier to remember is:
Lining up the points and subtracting vertically and then putting 2nd difference over first difference.
Like this:
(-2 , 3)
- ( 5 , -3)
-------------
-7 6
So the slope is 6/-7 or -6/7.
It doesn't matter what order you do the points. You have done the (5,-3) on top instead.
Like this:
( 5, -3)
- (-2, 3)
--------------
7 -6
The slope is still -6/7.
If you don't like that and you do just directly like using that formula, then I will do it that way too.
So applying the formula either gives you: [tex]\frac{3-(-3)}{-2-5)}[/tex] or [tex]\frac{-3-3}{5-(-2)}[/tex]. Both will give us the same number.
[tex]\frac{3-(-3)}{-2-5)}=\frac{6}{-7}=\frac{-6}{7}[/tex]
[tex]\frac{-3-3}{5-(-2)}=\frac{-6}{7}[/tex]
What percent of 4600% is 2530
5500% of 4600% is 2530
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
This problem is about Percentage.
Given:
What percent of 4600% is 2530?
We can translate above questions into mathematical equation as follows:
[tex]x\% \times 4600 \% = 2530[/tex]
[tex]x\% \times \frac{4600}{100} = 2530[/tex]
[tex]x\% \times 46 = 2530[/tex]
[tex]x\% = 2530 \div 46[/tex]
[tex]x\% = \frac{55}{1}[/tex]
To convert above fraction , we could multiply with 100% :
[tex]x\% = \frac{55}{1} \times 100\%[/tex]
[tex]x\% = \boxed{ 5500 \% }[/tex]
Conclusion:5500% of 4600% is 2530Another Example:
50% of 4600 is 2300
80% of 4600 is 3680
100% of 4600 is 4600
120% of 4600 is 5520
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
The 2530 is 55% of 46. This means that 2530 is 55% of 4600%, as 4600% is equivalent to 46 in decimal form.
To find what percent 2530 is of 4600%, we first need to understand that 4600% is equal to 46. Hence, we need to determine what percent of 46 is 2530.
Let x be the percentage we are trying to find. We can set up the equation:
x% of 46 = 2530
To solve for x, we divide both sides by 46:
x% = 2530 / 46
x% = 55
So, 2530 is 55% of 46.
To summarize, 2530 is 55% of 46. This means that 2530 is 55% of 4600%, as 4600% is equivalent to 46 in decimal form.
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If a+ b + c= -6 and x +y = 5, what is 9y +9x - 10a-10c -10b ?
Answer:
9y +9x - 10a-10c -10b = 105
Step-by-step explanation:
Given
a+b+c = -6 and x+y = 5
We have to find 9y +9x - 10a-10c -10b
Rearranging the terms
9x+9y-10a-10b-10c
Simplifying will give us:
= 9 (x+y) - 10(a+b+c)
Putting the values of x+y and a+b+c
= 9(5) -10(-6)
=45+60
=105
Therefore,
9y +9x - 10a-10c -10b = 105 ..
Answer:
9y + 9x - 10a - 10c - 10b = 105
Step-by-step explanation:
It is given that, a+ b + c = - 6 and x + y = 5
To find the value of given expression
Let the expression be 9y +9x - 10a-10c -10b
9y +9x - 10a -10c -10b = 9(y + x) - 10(a + c + b )
= 9(x + y) - 10(a + b + c)
= 9 * (5) - 10 * (-6)
= 45 + 60
= 105
Therefore 9y + 9x - 10a - 10c - 10b = 105
The variable t in the formula d = rt stands for
Answer:
The distance formula d = rt, 'd' stands for distance, 'r' stands for rate and 't' stands for time.
It's a well known formula used in physics to solve problems that involves questions like "how fast", "how far", or "for how long".
In the formula d = rt, the variable t represents time. It's a consistent representation across situations whenever you are dealing with equations for motion, speed, or other physics contexts.
The variable t in the formula d = rt stands for time. This formula is used to calculate distance based on the rate of speed (r) and the time (t) traveled. To solve for time, you would rearrange the formula to t = d/r, which means time equals distance divided by rate.
In various physics and mathematical contexts, as shown in the reference information, the letter t consistently represents time. It could be the time an object takes to cover a certain distance at a given rate, or more complex scenarios involving non-Euclidean worlds or quantum mechanics. Nevertheless, whenever you see t in such equations, it is typically referring to time, unless otherwise specified.
If DB is drawn, what is the measure of TDB?
Answer:
90°
Step-by-step explanation:
we know that
The side TD is perpendicular to the plane formed by the square base ABCD of the cube
therefore
The measure of angle ∠TDB is 90 degrees
The correct answer is d) 90
Step-by-step explanation:
Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal. 3w + 6r ≥ 36 3w + 6r ≤ 90 Which combination of hours can Keitaro walk and run in a month to reach his goal? 2 hours walking; 12 hours running 4 hours walking; 3 hours running 9 hours walking; 12 hours running 12 hours walking; 10 hours running
Answer:
Option 1 is correct. i.e 2 hours walking; 12 hours running
Step-by-step explanation:
We are given the equations
3w + 6r ≥ 36
3w + 6r ≤ 90
We will check which of the option satisfy the above equations.
1) 2 hours walking; 12 hours running
w = 2 and r =12
3w + 6r ≥ 36
3(2) + 6(12) ≥ 36
6+72 ≥ 36
78 ≥ 36
3w + 6r ≤ 90
3(2) + 6(12) ≤ 90
6+72 ≤ 90
78 ≤ 90
Both equations are satisfied. Option 1 is correct.
2) 4 hours walking; 3 hours running
w = 4 and r =3
3w + 6r ≥ 36
3(4) + 6(3) ≥ 36
12+18 ≥ 36
30 ≥ 36 (this equation doesn't hold as 30 < 36 and not < or equal to 36)
3w + 6r ≤ 90
3(4) + 6(3) ≤ 90
12+18 ≤ 90
30 ≤ 90
So, Option 2 is incorrect.
3) 9 hours running 12 hours walking
w = 9 and r =12
3w + 6r ≥ 36
3(9) + 6(12) ≥ 36
27+72 ≥ 36
99 ≥ 36
3w + 6r ≤ 90
3(9) + 6(12) ≤ 90
27+72 ≤ 90
99 ≤ 90 (this equation doesn't hold because 99 is greater than 90 and not less than 90)
Option 3 is incorrect.
4) 12 hours walking; 10 hours running
w = 12 and r =120
3w + 6r ≥ 36
3(12) + 6(10) ≥ 36
36+60 ≥ 36
96 ≥ 36
3w + 6r ≤ 90
3(12) + 6(10) ≤ 90
36+60 ≤ 90
99 ≤ 90 (this equation doesn't hold because 96 is greater than 90 and not less than 90)
Option 4 is incorrect.
Please help with this word problem would be a huge help!!
Answer:
11.2 miles
Step-by-step explanation:
What has been describe here is a right triangle.
He went 10 miles east, and he turned left and went 5 miles. He started at home ended at work. We want to make a road from his home directly to his workplace (no turns; straight there).
So we have by Pythagorean Theorem:
[tex]5^2+10^2=c^2[/tex]
[tex]25+100=c^2[/tex]
[tex]125=c^2[/tex]
Square root both sides:
[tex]\sqrt{125}=c[/tex]
[tex]11.2 \approx c[/tex]
11.2 miles would be the length of that direct path.
If it takes Tom 15 minutes to eat a burger and then 5 minutes to eat a portion of fries, how many burgers and portions of fries would he be able to eat in one hour?
But my options are, 3,6,2,and 5
Answer:
6
Step-by-step explanation:
In this question it appears that for each burger Tom then has to eat 1 portion of fries. This combination would take 15 + 5 = 20 minutes.
Since 60/20 = 3, he would be able to eat 3 burgers and 3 portions of fries in 60 minutes. Making up a total of 3+3 = 6
Answer:
Tom eats 3 burgers and 3 portions of fries in 1 hour.
Step-by-step explanation:
Tom eats a burger in 15 minutes and a portion of fries in 5 minutes.
Total time he spent = 15 + 5 = 20 minutes in eating both
We have to calculate the number of burgers and fries he is able to eat in one hour.
∵ In 20 minutes Tom eats burger and fries = 1
∴ In 1 minutes he would be able to eat = [tex]\frac{1}{20}[/tex]
∴ In 60 minutes he would be able to eat = [tex]\frac{60}{20}=3[/tex] sets of burgers and fries.
Therefore, Tom eats 3 burgers and 3 portions of fries in 1 hour.
Select the two binomials that are factors of this trinomial.
x^2+6x+8
Answer:
(x + 4)(x + 2)
Step-by-step explanation:
Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)
The factors are + 4 and + 2, since
+ 4 × + 2 = + 8 and + 4 + 2 = + 6, hence
x² + 6x + 8 = (x + 4)(x + 2) ← in factored form
The two binomials that are factors of this trinomial x^2+6x+8 would be (x + 4)(x + 2).
What is factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)
x² + 6x + 8
The factors are - 4 and + 2, since
+ 4 × + 2 = + 8 and + 4 + 2 = + 6,
hence , in the factored form
x² + 6x + 8 = (x + 4)(x + 2
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A hamburger bun merchant can ship 8 large boxes or 10 small boxes of hamburger buns into a carton for shipping. In one shipment, he sent a total of 96 boxes of hamburger buns. If there are more large boxes than small boxes, how many cartons did he ship?
Answer:
11 cartons
Step-by-step explanation:
Number of large boxes that can be contained in a carton = 8
Number of small boxes that can be contained in a carton = 10
Total number of boxes sent in one shipment = 96
This shipment contains both large and small boxes. Let there be x cartons of large boxes and y cartons of small boxes in one shipment. So, we can say,
Total number of large boxes in one shipment = Number of boxes in one carton * Total number of cartons = 8x
Similarly,
Total number of small boxes in one shipment = 10y
Since, total number of boxes in one shipment is 96, we can set up the equation as:
8x + 10y = 96
This equation can have following possible solutions:
x =2, y = 8x = 7, y = 4x = 12, y = 0We are given in the statement that are more large boxes than the small boxes, the valid solutions are:
x = 7, y = 4x = 12, y = 0Assuming that he sent both large and small boxes, the only valid solution will be:
x = 7, y = 4This means, the merchant sent 7 cartons of large boxes i.e. 56 large boxes and 4 cartons of small boxes i.e. 40 small boxes. So in total he sent 11 cartons.
Answer:
11 boxes total 4 small 7 large
Step-by-step explanation:
1 small box *10 = 10 96-10 = 86 (NO MULTIPLE OF 8)
2 small boxes*10=20 96-29=76 ( no multiple of 8)
3 small boxes *10=30 96-30= 66(no multiple of 8)
4 small boxes*10 = 40 96-40 = 56 (YES multiple of 8) 56/8 = 7 (7 large boxes)
4 large boxes and 7 large boxes
Simplify the expression.
20*5^-2
Need help with this problem
[tex](a^2+3a)^2+(2a+5)-(a^4-3a+2)=\\a^4+6a^3+9a^2+2a+5-a^4+3a-2=\\6a^3+9a^2+5a+3[/tex]
According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) is a factor of 35 divided by a factor of 66. Any rational root of f(x) is a multiple of 35 divided by a multiple of 66. Any rational root of f(x) is a factor of 66 divided by a factor of 35. Any rational root of f(x) is a multiple of 66 divided by a multiple of 35.
Answer:
The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Step-by-step explanation:
According to the rational root theorem:
if [tex]a_{0}[/tex] and [tex]a_{n}[/tex] are non zero then each rational solution x will be:
x= +/- Factors of [tex]a_{0}[/tex] / Factors of [tex]a_{n}[/tex]
In the given polynomial we have:
66x4 – 2x3 + 11x2 + 35
[tex]a_{0}[/tex] = 35
[tex]a_{n}[/tex] = 66
Therefore,
x= +/- Factors of 35/ Factors of 66.
Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Answer:
A
Step-by-step explanation:
trust bro
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is 1/5. The probability of Larry staining his shirt during the dinner is 15%.
Which of these events is more likely?
Choose 1 answer:
(Choice A)
Harry stains his shirt during the dinner.
(Choice B)
Larry stains his shirt during the dinner.
(Choice C)
Neither. Both events are equally likely.
Answer:
(Choice A)
Harry stains his shirt during the dinner.
Step-by-step explanation:
If Harry and Larry are having a barbecue dinner and the probability of Harry staining his shirt during the dinner is 1/5 and the probability of Larry staining his shirt during the dinner is 15%, Harry stains his shirt during the dinner is more likely.
Harry - 1/5 as a percent: 20%
Larry - 15% as a decimal: 0.15
Therefore 20% is more than 15 percent.
This makes the answer, Harry stains his shirt during the dinner.
Answer:
(Choice A)
Harry stains his shirt during the dinner.
Step-by-step explanation:
If Harry and Larry are having a barbecue dinner and the probability of Harry staining his shirt during the dinner is 1/5 and the probability of Larry staining his shirt during the dinner is 15%, Harry stains his shirt during the dinner is more likely.
Harry - 1/5 as a percent: 20%
Larry - 15% as a decimal: 0.15
Therefore 20% is more than 15 percent.
This makes the answer, Harry stains his shirt during the dinner.
I need 12 and 13 plzzz
How to make s the subject in T=2(S+P)÷Z
Answer:
(TZ - 2P)/2 = S
Step-by-step explanation:
Multiply both sides by Z
T*Z = Z*2(S + P)/Z
TZ = 2*(S + P) Divide by 2
TZ/2 = 2(S + P)/2 Do the division
TZ/2 = S + P Subtract P from both sides
TZ/2 - P = S That's one answer. You could refine it.
Multiply P by 2 so that you can put TZ - 2P over a common denominator.
(TZ - 2P)/2 = S Is another answer.
I think the second one is probably the best one.
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units.
Determine which statements about the relationship are true. Choose two options.
Answer:
g is a dependent variable
u is an independent variable
Step-by-step explanation:
Given relationship is:
g=748u
Here two terms need to be defined
Independent Variable : The variable which can take any value. The independent variable is used to calculate the value of dependent variable
Dependent Variable: The dependent variable is determined by the independent variable.
Therefore,
The correct answer is:
g is a dependent variable
u is an independent variable ..
Kelly drinks 0.5 liters of coffee and 0.3 liters of yogurt drink at breakfast. How much did she drink in total in milliliters?
According to the definition of theoretical probability, the probability of an
event occurring is the number of favorable outcomes divided by the number
of unfavorable outcomes.
True or False
Answer: True
Step-by-step explanation: that is the correct definition on theoretical probability! :D
. Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes, not unfavorable outcomesThe statement about theoretical probability in the question is false.
The provided statement about theoretical probability is false. According to the definition of theoretical probability, the probability of an event occurring is in fact the number of favorable outcomes divided by the total number of possible outcomes, not the unfavorable outcomes. To calculate the theoretical probability of an event A, one must count the number of outcomes that are favorable for event A (those that result in the event occurring) and divide by the total number of all possible outcomes.
Example:
If a die is rolled, the probability of rolling a three (a favorable outcome) is 1 in 6 (the total number of possible outcomes), as there is one three on a die and six possible outcomes in total.
Therefore, the correct way to express probability is:
Probability = (number of favorable outcomes) / (total number of possible outcomes)
Solve the radical equation.
Answer:
there are no extraneous solutions to the equation
Step-by-step explanation:
Given
[tex]\sqrt{8x+9}[/tex] = x + 2 ( square both sides )
8x + 9 = (x + 2)² ← expand
8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )
0 = x² - 4x - 5 ← in standard form
0 = (x - 5)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 5 : [tex]\sqrt{8(5)+9}[/tex] = [tex]\sqrt{49}[/tex] = 7
right side = 5 + 2 = 7
left side = right side ⇒ x = 5 is a solution
x = - 1 : [tex]\sqrt{8(-1)+9}[/tex] = [tex]\sqrt{1}[/tex] = 1
right side = - 1 + 2 = 1
left side = right side ⇒ x = - 1 is a solution
There are no extraneous solutions
Answer:
There are no extraneous solutions
Step-by-step explanation:
sqrt(8x+9) = x+2
Square each side
(sqrt(8x+9))^2 = (x+2)^2
8x+9 = (x+2)^2
FOIL
8x+9 = x^2 +2x+2x+4
Combine like term
8x+9 = x^2 +4x+4
Subtract 8x from each side
8x-8x+9 = x^2 +4x-8x+4
9 = x^2 -4x+4
Subtract 9 from each side
0 = x^2 -4x-5
Factor
0=(x-5) (x+1)
Using the zero product property\
x-5 =0 x+1=0
x=5 x=-1
Check the solutions
x=5
sqrt(8*5+9) = 5+2
sqrt(40+9) = 5+2
sqrt(49) =7
7=7
x=-1
sqrt(8*(-1)+9) = -1+2
sqrt(-8+9) = -1+2
sqrt(1) =1
1=1
Both solutions are true solutions
Ethel surveyed a random sample of 100 students from her middle school to learn more about what type of school lunches are preferred. The table shows the result of the survey. Hamburgers Tacos Pizza Sample #1 13 43 44 Sample #2 20 41 38 Which of the following inferences can be made based on the data? Pizza is the most preferred lunch. Tacos and pizza are almost equally preferred. Hamburgers are two times more popular than tacos. Hamburgers are two times more popular than pizza.
-- Hamburgers got 33 total votes.
-- Tacos got 84 total votes.
-- Pizza got 82 total votes.
Tacos and pizza are almost equally preferred.
-- Tacos are out in front of pizza, but only by 2 votes.
-- Hamburgers are way behind, with less than half the votes of either tacos OR pizza.
It is found that Spaghetti and Pizza are preferred almost equally.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Ethel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred based on his observation the table of the following is :
Hamburgers Spaghetti Pizza
Sample 1: 13 43 44
-----------------------------------------------------------------------
Sample 2: 20 41 39
-------------------------------------------------------------------------
Total: 33 84 83
Here, we see that the total number of spaghetti and Pizza chosen are almost equal as:
Total number of Spaghetti preferred=84.
Total number of Pizza preferred=83.
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The graph of f(x) = x^5 + 2x^4 - x - 2 is given. How many complex zeros does the function have?
Answer:
According to the graph of f(x), the function has three real solutions to x= -2, x= -1 and x=1.
Then, given that the function is a 5 degree polynomial, we can conclude that the function has 2 complex zeros.
John has a rectangular picture which is 43 inches long and 27 inches wide. He wants to build a wooden gram for the picture but she only has 800 square inches of wood available. How wide will the border be?
Answer:
The border will be 18.6 inches wide
Step-by-step explanation:
Let the width be w
The length = 43 inches
Total wood = 800 square inches
Formula for area of rectangle = length x width
800 = 43 x w
w = 800/43
w = 18.6 inches
Therefore, the border will be 18.6 inches wide.
!!
Answer:
5 inches
Step-by-step explanation:
Let x be the width ( in inches ) of the border,
Given,
The length of the picture = 43 inches,
And, width of the picture = 27 inches,
So, the length of whole frame ( picture with border ) = 43 + 2x,
Its width = 27 + 2x
Thus, the area of the whole frame,
[tex]A=(43+2x)(27+2x)-----(1)[/tex]
Now, the area of the picture,
[tex]A_1=43\times 27=1161\text{ square inches}----(2)[/tex]
We have, the area of the border,
[tex]A_2=800\text{ square inches}----(3)[/tex]
Thus,
[tex]A=A_1+A_2[/tex]
Equation (1) (2) and (3),
[tex](43+2x)(27+2x) = 1161+800[/tex]
[tex]1161 + 86x+54x+4x^2=1161+800[/tex]
[tex]4x^2+140x-800=0[/tex]
[tex]x^2+35x-200=0[/tex]
[tex]x^2+40x-5x-200=0[/tex]
[tex]x(x+40)-5(x+40)=0[/tex]
[tex](x-5)(x+40)=0[/tex]
[tex]\implies x=5\text{ or }x=-40[/tex]
∵ Width can not be negative,
Hence, the width of the border is 5 inches.
Given that the area of a triangle is given by the formula A =
1
2
bh, what is the value of A if b = 4 cm and h = 6 cm?
solve the equation -12=q-17
Answer:
q = 5
Step-by-step explanation:
Given
- 12 = q - 17 ( add 17 to both sides )
5 = q ⇒ q = 5
Answer:
q=5
Step-by-step explanation:
The equation is -12=q-17
In this equation we have to find the value of q.
So move the constant to the L.H.S
-17 will become +17 when it moves to the L.H.S
17-12=q
5=q
Thus the value of q is 5....
[tex]25.643 - 18.21 = [/tex]
Answer:
The answer is 7.433
Step-by-step explanation:
Bc:
25.643 the 5 turned to 15, and the 2 is a 1.
- 18.210
7.433
Hope my answer has helped you, if not i'm sorry.
Answer:
7.433
Step-by-step explanation:
To solve this problem, you'd need to subtract the numbers from left to right.
25.643-18.21=07.433=7.433
So, the correct answer is 7.433.
I hope this helps!
Thank you for submitting your question!
Evaluate: 5P5
A:120
B: 1
C: 132
D: 126
(This is permutations btw)
[tex]_nP_k=\dfrac{n!}{(n-k)!}\\\\\\_5P_5=\dfrac{5!}{0!}=120[/tex]
Answer:
A. 120.
Step-by-step explanation:
5P5 = 5! / (5-5)!
= 5! / 0!
= 5!/1
= 5!
= 120.
Which is a graph of f(x) = (6x-2)/(x-3), with any vertical or horizontal asymptotes indicated by the dashed lines?
Answer:
to find the vertical asymptote, you have to put the rational function in the simplest form, which means to cancel any common factor between the numerator and denominator. here we don't have anything to cancel. then take the denominator and equal it to 0. x-3=0 ,x=3
to find the horizontal asymptote, in this situation, the degree of the numerator and denominator are the same which is 1. therefore, y=the coefficient of the numerator ÷ the coefficient of the denominator. y=6÷1 ,y=6
Answer with explanation:
The given function is:
[tex]f(x)=\frac{6x-2}{x-3}[/tex]
Horizontal Asymptote
[tex]y= \lim_{x \to \infty} \frac{6x-2}{x-3}\\\\\text{Dividing Numerator and Denominator by ,x}\\\\\Rightarrow y=\lim_{x \to \infty} \frac{6-\frac{2}{x}}{1-\frac{3}{x}}\\\\\Rightarrow y=\frac{6-0}{1-0}\\\\\Rightarrow y=6[/tex]
Vertical Asymptote
→Substitute Denominator of f(x) =0
⇒x-3=0
⇒x=3
⇒x=3 is Vertical Asymptote , and y=6 is horizontal Asymptote.
Matching with all the options
Option D
What are the zeros of f(x) = x2 - x - 30?
The zeros of f(x) = x^2 - x - 30 are x = 6 or -5
How to determine the zeros?The function is given as:
f(x) = x^2 - x - 30
Expand
f(x) = x^2 + 5x - 6x - 30
Factorize the function
f(x) = x(x + 5) - 6(x + 5)
Factor out x + 5
f(x) = (x - 6)(x + 5)
Set to 0
(x - 6)(x + 5) = 0
Solve for x
x = 6 or -5
Hence, the zeros of f(x) = x^2 - x - 30 are x = 6 or -5
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