identify the roots of the equation and the multiplicities of the roots 8(x - 2)³ = 0
Answer:
The root of the equation is 2 with multiplicity 3
Step-by-step explanation:
8(x-2)^3=0
(x-2)^3=0
The root of the equation is 2 with multiplicity 3
PLEASE HELP!!!! It’s urgent
Answer:
(-1,4)
Step-by-step explanation:
The interval in which the function is decreasing is (-1, 4)
Answer:
The domain of a function is the set of all possible inputs for the function.
Using the table provided, the set of all possible inputs is the interval [-6 ; 4].
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
Using the table provided, the range is estimated on the interval [-10;20]
The y-intercept is the value on the Y-axis where the function crosses the Y-axis.
Using the table provided, the function crosses the Y-axis for f(0)=18 so for the value y = 18 in the table.
The x-intercept is the value on the X-axis where the function crosses the X-axis.
It happens twice, for f(-6)=0 and f(3)=0.
We estimate the Maximum to be 20, and the Minimum -10.
The function is positive over the interval [-6, 3], and negative over (3;4]
The function is decreasing approximately at f(-1)=20 so at the estimated interval (-1;4]
find the HCF of 54 and 81 by prime factorization method. pls send the photo
3║54, 81
3║18, 27
3║9, 9
3║3, 3
3║1, 1
HCF = 27
Must click thanks and mark brainliest
Answer:
Hello,
Step-by-step explanation:
[tex]\begin{array}{c||c}\begin{array}{c|c}54&2\\27&3\\9&3\\3&3\\1\\\end{array}&\begin{array}{c|c}81&3\\27&3\\9&3\\3&3\\1\\\end{array}\end{array}\\\\54=2^1*3^3\\ 81=3^4\\\\\boxed{HCF(54,81)=3^3=27}\\[/tex]
Find the greatest number of students to whom 45 soccer balls and 60 tennis balls can be equally divided.
Answer:
15 studentsStep-by-step explanation:
Find GCF of 45 and 60:
45 = 3*3*560 = 2*2*3*5GCF(45,60) = 3*5 = 15
Find Greatest common multiple or GCF
[tex]\\ \sf\longmapsto 45=3\times 3\times 5[/tex]
[tex]\\ \sf\longmapsto 60=2\times 2\times 3\times 5[/tex]
Now
[tex]\\ \sf\longmapsto GCF=3\times 5=15[/tex]
please help this is due soon
If you order 6 pizzas, you will get 60 slices of pizza. How many slices are there in one pizza?
Answer:
10
Step-by-step explanation:
because 60/6 is ten
hope this helped
Answer:
10 because 60/6 =10 this is the answer
multiply 631.6 by 0.8
Answer: multiply 631.6 by 0.8 = 505.28
A.) Evaluate f(1)
B.) given: f(x) =1, find x
Answer:
f(1) = -2
f(x) =1 when x=0 or x=-2
Step-by-step explanation:
f(1) is the y value when x=1
f(1) = -2
f(x) = 1 means find the x value when y=1
when y =1, x =0 and -2
The function f(t) = t2 + 6t − 20 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?
Part C: Determine the axis of symmetry for f(t).
Answer:
Step-by-step explanation:
Note that the equation should be
f(t) = t^2 + 6t - 20
A. Completing the square
coefficient of the t term: 6
divide it in half: 3
square it: 3²
add 3² to complete the square and subtract 3² to keep the equation balanced:
f(t) = (t² + 6t + 3²) - 3² - 20
f(t) = (t+3)² - 29. This is the equation in vertex form.
:::::
B. Vertex (-3, -29)
The leading coefficient of the equation is +1. Since the leading coefficient is positive, the parabola opens upwards. Therefore, the vertex is a minimum.
:::::
The axis of symmetry is the vertical line passing through the vertex: x = -3
9x-5
14x+24
A
Determine the value of x.
1) x= -5.8
2) x= -7
3) x= 7
4) x= 32.2
Answer:
the answer to the question
is x=-5.8
What is the conjugate of 3+6i?
A -3 - 6i
B 3 - 6i
C 3 + 6i
D 9i
Answer:
B
Step-by-step explanation:
A conjugate is a term that has the same real part of its original but opposite terms of the second sign
Look at
[tex]3 + 6i[/tex]
The real part is 3 so B and C are the only possible answer.
The conjugate has the opposite sign of the second sign so the answer is
B
[tex]3 - 6i[/tex]
Write an inequality to describe the region.
The solid cylinder that lies on or below the plane z = 1 and on or above the disk in the xy-plane with center the origin and radius 3
Answer:
I don't really know
Step-by-step explanation:
Why don't u ask ur teacher for help that will help u more so in a test u can't use brainly
Which of the following quadratic equations is written in general form?
The 3rd one
Step-by-step explanation:
Reason being that it has no factors, meaning it cannot be simplified any further, but quadratic method can be used to attain factors.
hope it makes sense :)
Write the equation in slope-intercept form. y = 7(x + 2) + 3x
Step-by-step explanation:
y=mx+c
where m=7(x+2)and c=3xAnswer:
y= 10x +14
Step-by-step explanation:
Distribute parenthesis:
7(x+2) + 3x = 7x +14 +3x
Then combine like terms:
7x + 3x = 10x +14
hi hi hi please help ♀️
Answer:
Cooper read the least because
Step-by-step explanation:
1/5 is less than
Answer: Cooper read more
Step-by-step explanation:
If the product of three identical numbers is 1000, find one of the number?
Answer:
10
Step-by-step explanation:
Three identical numbers whose product is 1000
10 * 10 * 10
Evaluate. 3(4/5) 64 125 16 25 O 12 15 O I don't know.
When you evaluate [tex]3(\frac{4}{5})[/tex] you will have [tex]\frac{12}{5}[/tex]
In this exercise, you're required to evaluate the given whole number and fraction [tex]3(\frac{4}{5})[/tex]
First of all, you will notice that there is a bracket which signifies multiplication. Therefore, we would open up the bracket by multiplying the two numbers.
Opening the bracket;
[tex]3 * \frac{4}{5}[/tex]
Multiplying the whole number by the numerator;
[tex]3(\frac{4}{5}) = \frac{12}{5}[/tex]
Find more information on how to evaluate mathematical expressions: https://brainly.com/question/24373783
Three brothers enter a race with 8 friends. The racers draw lots to determine their
starting positions. What is the probability that the older brother, Mike, will start in lane 1, with
his other brothers, Stan and Steve beside him in lanes 2 and 3 in that order?
Find an equation of the circle whose diameter has endpoints (-6, -1) and (-2,3).
Step-by-step explanation:
Let find the distance of the diameter. using distance formula.
[tex](3 + 1) {}^{2} + ( - 2 + 6) {}^{2} = \sqrt{8} [/tex]
The diameter is sqr root of 8 units.
A circle equation is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
where r is the radius. The radius is half the diameter so
[tex]r = \frac{ \sqrt{8} }{2} = \frac{ \sqrt{8} }{ \sqrt{4} } = \sqrt{2} [/tex]
[tex] {r}^{2} = { \sqrt{2} }^{2} = 2[/tex]
So our radius is 2.
Now we need to find the midpoint or Center of the diameter.
[tex] \frac{ - 6 - 2}{2} = - 4[/tex]
[tex] \frac{3 - 1}{2} = 1[/tex]
So the center of the circle is (-4,1). So our equation of the Circle us
[tex](x + 4) {}^{2} + (y - 1) {}^{2} = ( \sqrt{2} ) {}^{2} [/tex]
Cuánto es 324 por 171
Answer:
la respuesta es 55,404
I hope this helped
Use the graph of f(x) to write an equation for the function represented by each graph
[tex]f(x) = |x| [/tex]
Answer:
a) -|x+4|
b) |x-1| -6
Step-by-step explanation:
First, we can compare the functions to f(x)
For (a), the graph seems to be
- flipped upside down
- moved to the left by 4 units (we can tell this because the x intercept is at -4 instead of 0)
First, -f(x) turns a function upside down. Therefore, we have -f(x) = -|x| (this is our new f(x) for (a)). Then, f(x+b) shifts a function b units to the left, so we have f(x+4) = -|x+4|. Note that the 4 is inside the absolute values as it is f(x+b) and not f(x) + b. For f(x+b), we substitute x+b for x. For f(x)+b, we add a b at the end.
For (b), the graph seems to be
- moved to the right by 1 unit (the turning point in the slope is at x=1)
- moved down 6 units (the turning point in the slope is at y=-6)
First, f(x-b) shifts the function b units to the right, so we have f(x-1) = |x-1|
Then, f(x) - b shifts the function b units down, so we have f(x) - 6 = |x-1|-6
The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers
Answer:
Our three numbers are 8, 48, and 16.
Step-by-step explanation:
Let the first, second, and third numbers be x, y, and z, respectively.
The sum of them is 72. In other words:
[tex]x + y + z = 72[/tex]
The second number y is three times the third number z. So:
[tex]y = 3z[/tex]
And the third number z is eight more than the first number x. So:
[tex]z = x + 8[/tex]
To find the numbers, solve for the system. We can substitute the last two equations into the first:
[tex]x + (3z) + ( x + 8) = 72[/tex]
Substitute again:
[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]
Solve for x. Distribute:
[tex]x+3x+24+x+8=72[/tex]
Combine like term:
[tex]5x + 32 = 72[/tex]
Subtract:
[tex]5x = 40[/tex]
And divide:
[tex]x=8[/tex]
Thus, the first number is eight.
And since the third number is eight more than the first, the third number z is 16.
The second number is three times the third. Thus, the second number y is 3(16) or 48.
Our three numbers are 8, 48, and 16.
Lee is in customer service. How can she best support her internal customer, Dan? O al Prioritize other tasks and customers O b) Ask him a lot of personal questions O c) Give him her full attention when he's speaking O d) Check with him before completing basic tasks
The range is the set of________
A) First Coordinates
B) Ordered Pairs
C) Second coordinates
Answer:
The range is the set of first coordinates
The number of unique visitors to the college website can be approximated by the formula N(t)=410(1.32)t where t represents the number of years after 1997 when the website was created. Approximate to the nearest integer the number of unique visitors to the college website in the year 2020.
Answer:
243212
Step-by-step explanation:
Substitute the given value of t into the given formula. To find t, subtract 1997 from 2020.
2020−1997=23
Now substitute 23 into the equation for t and calculate.
N(t)N(23)==≈410(1.32)t410(1.32)23243,212
The number of unique visitors to the college website in the year 2020 was approximately 243,212.
Question 24 plz show ALL STEPS
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) The first 5 partial sums are listed in the table in the attachment.
__
b) Sigma notation makes use of the general term shown:
[tex]\displaystyle\sum_{n=1}^\infty{\frac{3^n+(-2)^n}{6^n}}[/tex]
__
c) The sum appears to be close to 3/4. (For large n, a calculator cannot evaluate the terms of the series--they are too small.) The attachment shows the 100th sum to be rounded to 3/4 (from 12 significant digits).
How many different 6-digit phone numbers do not contain the digit 8? Assume that any digit in the phone number can be any of the remaining numbers.
Solve each system by graphing.
9514 1404 393
Answer:
no solution
Step-by-step explanation:
These lines have the same slope and different y-intercepts, so graph as parallel lines. As such, they will have no point of intersection, so there is NO SOLUTION to this system of inconsistent equations.
Write the equation, in slope intercept form of the line that has a slope of 2 and passes through the point (1,3)
Answer:
y = 2x + 1
Step-by-step explanation:
y = mx + c
m = slope = 2
y = 2x + c
sub x = 1, y = 3
3 = 2(1) + c
c = 1
Suppose a life insurance company sells a $260,000 1-year term life insurance policy to a 20-year-old female for $220. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company.
Answer:
$101.44
Step-by-step explanation:
To calculate expected value, we can multiply each outcome by its probability. The probability that the female will pay is 100%, so to start, the expected value is (100%) * $220 = 1 * $220 = $220
Next, the only way the insurance loses or gains money outside of this value is if the female dies. The probability of this happening is 1 - 0.999544 (the probability that the female survives) = 0.000456 . Therefore, the expected value that the insurance company will pay to the woman is
(260000) * (0.000456) = 118.56
Overall, the insurance company is expected to gain $220 from the woman and lose $118.56. Adding these two up, we get
220-118.56 = $101.44 as the overall expected value of the policy to the insurance company
