Answer:
(x + -6)(x + -6) = -36
Step-by-step explanation:
Simplifying
x2 + -12x + 72 = 0
Reorder the terms:
72 + -12x + x2 = 0
Solving
72 + -12x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-72' to each side of the equation.
72 + -12x + -72 + x2 = 0 + -72
Reorder the terms:
72 + -72 + -12x + x2 = 0 + -72
Combine like terms: 72 + -72 = 0
0 + -12x + x2 = 0 + -72
-12x + x2 = 0 + -72
Combine like terms: 0 + -72 = -72
-12x + x2 = -72
The x term is -12x. Take half its coefficient (-6).
Square it (36) and add it to both sides.
Add '36' to each side of the equation.
-12x + 36 + x2 = -72 + 36
Reorder the terms:
36 + -12x + x2 = -72 + 36
Combine like terms: -72 + 36 = -36
36 + -12x + x2 = -36
Factor a perfect square on the left side:
(x + -6)(x + -6) = -36
Can't calculate square root of the right side.
The solution to this equation could not be determined.
MARK BRAINLIEST PLSSS
Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can Thomas purchase?
Answer:
3
Step-by-step explanation:
25.5-9.5=16
16-15=1 (highest multiple of 5 that fits into 16)
He can buy 3 cds and he will have $1 left over
The length of a rectangle is (x + 3) inches long, and the width is 3.4
inches. If the area is 15.3 square inches, which equation can be used to find
x? *
A. 3.4(x + 3) = 15.3
B 3.4x + 3 = 15.3
C. 3(x + 3.4) = 15.3
D. 3x + 3.4 = 15.3
Answer:
A)
Step-by-step explanation:
Drag each rational number to the correct location on the table.
Identify the rational numbers as positive or negative.
Answer:
Step-by-step explanation:
Positive: -1/-3, -2/-2, +2/+3, -1/+3
the rest of them are negative
Answer:
Positive: 1+/+3 -2/-3 +2/+3 -1/-3 negative:-2/+3 +2/-3 -1/+3 +1/-3
Step-by-step explanation:
The table below shows the hours. x spent working on a new and the distance, y, of fished road.
Time. Distance
(hours) (miles)
50. 1.5
200. 6
350. 10.5
400. 12
650. 19.5
What is the slope of the line that is these date
A. 3/400
B. 3/100
С . 3/23
D. 3
Answer:
Step-by-step explanation:
On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.
The slope of the line that is these data is 0.03 or 3/100
The correct option is (B).
What is slope of line?The slope of a line is a measure of its steepness.
Given that:
Time Distance
50 1.5
200 6
350 10.5
400 12
650 19.5
Let us take,
[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200
Slope of line, m= Δy/Δx
m= [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]- [tex]y_1[/tex]
m=6-1.5 /200-50
m=4.5 /150
m= 45/1500= 3/100
m=0.03
Hence, slope of line is= 0.03
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Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n squared minus 16 Over n cubed + 4 EndFraction? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to ∞.
Calculating the limit as n goes to infinity, it is found that:
The sequence converges to 0.
------------------------------
The sequence is given by:
[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]
In which
[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]
------------------------------
If the limit of f(n) as n goes to infinity is a value, it converges to this value.If the limit of f(n) as n goes to infinity is infinity, it diverges.------------------------------
The limit is:
[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]
Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:
[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]
Thus: The sequence converges to 0.
A similar question is given at https://brainly.com/question/20553793
Answer: D The sequence converges to ∞.
Step-by-step explanation:
got it right 2022 edge
Solve the following quadratic equation for all values of xx in simplest form.
5(2x+1)^2+6=26 cant figure this out!!
Answer:
x=1/2 and x=-3/2
Step-by-step explanation:
5(2x+1)^2+6=26
5(2x+1)^2=20
(2x+1)^2=4
2x+1=±2
Now make two equations and solve both for x:
2x+1=2
2x=1
x1=1/2
2x+1=-2
2x=-3
x2=-3/2
Which expression represents a rational number?
Please help right now!!!
Answer:
A
Step-by-step explanation:
Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.
HELP ASAP FIRST PERSON WITH CORRECT ANSWER GETS BRAINLIEST
Which statements about the triangles are correct? Select two that apply.
A. Triangle P is similar to triangle Q.
B. Triangle P is a reflection and a translation of triangle Q.
C. Triangle P is not similar to triangle Q.
D. Triangle P is a reflection and dilation of triangle Q.
E. Triangle P is a translation and a dilation of triangle Q.
Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 Station 3 Station 4 Station 5 Jim $3.45 $3.54 $3.71 $3.62 $3.49 Carol $3.89 $3.65 $3.39 $3.48 $3.49 Which person's town had the lower mean for gas prices and by about how much?
A Jim, by $0.02
B Carol, by $0.02
CJim, by $0.06
D. Carol, by $0.06
Find the mean. {21, 10, 27, 24, 15, 7, 19, 24, 31, 15, 11, 24}
Answer:
19 is your answer
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms.
How to Find the Mean:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
What is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?. The price of nails is $1.30/lb, the price of washers is $0.80/lb, and the price of bolts is $2.50/lb.
Answer: $13.30
Step-by-step explanation:
price of nails = $1.30/lb
price of washers = $0.80/lb
price of bolts = $2.50/lb
The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:
= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)
= $2.60 + $3.20 + $7.50
= $13.30
The total cost is $13.30
(C) Find the arithmetic mean of given data
12, 10, 15, 14, 16, 25, 18, 22
Answer: Mean- 16.5
Step-by-step explanation:
please help ill give brainliest answer!!
Answer:
Brainlyest answer plz
Answer:
IJ=77
Step-by-step explanation:
[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]
[tex]20IJ=1540[/tex]
[tex]IJ=77[/tex]
What is the range of the following parabola? (5 points)
Answer:
D
Step-by-step explanation:
Range is all the possible Y values in a graph
we can see that the graph will never reach a y value greater than three but will go to negative infinity
This means that answer is D (the y value will always be less than or equal to 3)
what is the median for this set of numbers 10,9,23,68,70,4,12,4
Answer:
11
Step-by-step explanation:
Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more
laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?
Answer:
Laura needs to try 36 more times before the lock is sure to open.
Step-by-step explanation:
Alright, with a three digit lock, there are 9 possible numbers for each digit:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Since the first one is 3, lets move onto the second digit, which is prime.
Of the numbers between 1-9,
2, 3, 5, and 7 are prime.
With the last digit, it can be any number 1-9.
With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.
Which of the following is true about the expression v3 • V12?
Answer:
I think is B.
Step-by-step explanation:
hope its help
Answer:
Option B
Step-by-step explanation:
volume of a cone is 48 pi cubic inches the cone has a height of 36 inches Mark finding the radius of the cone complete his work
Answer:
c or take the square root of both sides
a or 2 inches
Step-by-step explanation:
PLEASE HELP I WILL MARK U AS BRAINLIST !!!!
The length of each of the legs of an isosceles triangle is represented by the expression 5x-2 inches. The length of the base of the isosceles triangle is represented by the expression 3x +1 inches. The perimeter of the isosceles triangle is 42 inches.
determine whether each equation represents the perimeter of the isosceles triangle , in inches .
select yes or no for each equation
A. 13x-2=42 yes or no
B. (10x-2)+(3x+1)=42 yes or no
C.2(5x-2)+2(3x+1)=42 yes or no
D.5x-2+3x+1+5x-2=42 yes or no
THERE CAN BE MORE THAN ONE ANSWER.
thank you
Answer:
A.NoAs,
5x - 2 + 5x - 2 + 3x + 1 = 13x - 3 = 42
But here,
13x - 2 which is not equal to 13x - 3
Hence, it's wrong.
B. NoAs,
5x - 2 + 5x - 2 + 3x + 1 = (10x - 4) + (3x + 1) = 42
But here,
(10x - 2) + (3x + 1) which is not equal to (10x - 4) + (3x + 1)
Hence, it's wrong.
C. NoAs,
5x - 2 + 5x - 2 + 3x + 1 = 2(5x - 2) + 3x + 1 = 42
But here,
2(5x-2)+2(3x+1) which is not equal to 2(5x - 2) + 3x + 1
Hence, it's wrong.
D. YesAs,
5x - 2 + 5x - 2 + 3x + 1 = 42
Also,
5x-2+3x+1+5x-2 equal to 5x-2+3x+1+5x-2
Hence, it's correct.
Answer:
A and D is right
Step-by-step explanation:
I did the quiz and use the answer and it was right
Find the exact solution to the equation. 5^(6-2x) = 25
Answer:
x = 2
Step-by-step explanation:
Note that 25 = 5² , then
[tex]5^{(6-2x)}[/tex] = 5²
Since the bases on both sides are 5 then equate the exponents
6 - 2x = 2 ( subtract 6 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?
Answer:
[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
Note that:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
When we look at the given line, [tex]y=-2x-1[/tex], we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of [tex]\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2} x+b[/tex]
Plug in the given point (1,-2)
[tex]-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b[/tex]
Subtract 1/2 from both sides
[tex]-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b[/tex]
Therefore, the y-intercept of the line is [tex]-\frac{5}{2}[/tex]. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]
[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]
I hope this helps!
a whale costs $14700 and depreciates in value by 8% per year. When will the whale be worth $100
Answer:
x = 60
Step-by-step explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.
Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. Which of the following best represents this situation?
A
B
C
D
Answer:
A. a=14×2
Step-by-step explanation:
Since there are 2 apples per box, you just need to multiply to get your answer which would be 28.
I need help with this question for hw
fill in the blank. 1/9 ? -4
A .>
B. <
C. =
Answer:
The answer is A.
Step-by-step explanation:
1/4 is greater than 0, since -4 is less than 0 1/4 is greater
A school bus has 25 seats, with 5 rows of 5 seats. 10 students from 2nd grade and 5 students from 1st grade travel on the bus. How many ways can the students be seated if the 2nd graders have to sit in the first two rows?
Answer:
(Answer in attachment, explanation below)
Step-by-step explanation:
The answer is B. 5P5 x 20P15.
This is because to make the second grade students to sit in the first row we have 5 seats and 5 students so we will permute the 5 students to those 5 seats. So 5P5.
Now we are left with 20 seats and 15 first grade students so we can simply permute those 15 students into those 20 seats. So 20P15.
Finally using the counting rule principle we will multiply both of these so 5P5 x 20P15.
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students occupy the first row(i.e first 5 seats) =
Remaining seats = 20
No. of students from first grade = 15
So, No. of ways for first-grade students occupy remaining seats =
So, No. of ways for the students can be seated if all of the second-grade students occupy the first row =
So, Option B is true
Hence No. of ways for the students can be seated if all of the second-grade students occupy the first row is
HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
In bottle 1/4 of chlorine solution is left in bottle.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.
And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.
Now,
Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8
= 5 / 2 × 1/4 - 3/8
= 5 / 8 - 2 / 8
= 1 / 4
Thus, In bottle 1/4 of chlorine solution is left in bottle.
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The complete question is this;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?
Help with this please!!
Answer:
the first answer
Step-by-step explanation:
well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT
Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.
During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the remaining 20km of his journey at 30km/hr. What was the drivers average speed for the entire journey?
Show all working!!
Answer:
50 km/hr
Step-by-step explanation:
D = RT
Time for first part of trip = 80/60 = 4/3 hr.
Time for second part of trip = 20/30 = 2/3 hr.
total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.
Total distance = 100 km
Average rate of speed for entire trip = 100/2 = 50 km/hr