Factoring x2-14x+11
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +11
Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -14 .
-11 + -1 = -12 -1 + -11 = -12 1 + 11 = 12 11 + 1 = 12
Observation : No two such factors can be found
zero has how many square roots? Why?
Answer:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0.
Step-by-step explanation:
Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86
Answer:
the answer is 536.96
its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)
hope this helps
A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578
Answer:
Step-by-step explanation:
236, did on edge
what is the y intercept of this line
Answer:1
Step-by-step explanation:
How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700
Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher wanted to reduce the standard deviation to 0.04. what sample size would be required?
Answer:
400
Step-by-step explanation:
The computation of the sample size needed is shown below:
Since at the sample size of 200 there is a standard deviation of 0.08
But when the standard deviation is 0.04 so the sample size is 400
As sample standard deviation would be inversely proportional to the square root of the sample size
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Find the slope of the line.
Y=5/3x
Answer:
[tex] \frac{5}{3} [/tex]
~ See attatchment
Step-by-step explanation:
I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.
The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.
Hi!
Let's check if the equation that we're going to work with is in slope-intercept form.
Remember, the slope-intercept formula is:
[tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]
Where:
m -> Slopeb -> Y-interceptDetails:
[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]
Therefore:
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]
I hope I helped, have a wonderful day!
If you need any explanation or clarification, reach out to me, I'm always happy to help. :D
i got 10.6 am i wrong?
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.
Answer: 76
Step-by-step explanation:
Answer:
125 X 40% = 50.00
50.00 is the increase from the markup rate
Answer is 40%
Step-by-step explanation:
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
https://brainly.com/question/7563683
#SPJ2
giving brainliest !! *easy*
um here’s the graph
the population of a town in 1995 was 60,000. the population increased by 25% in 2007.find the population in 2007.
Answer:
75,000
Reason: 25 percent of 60,000 is 15,000. Since the population increased 25 percent more of 60,000, we add 15,000 to 60,000. Thus, the answer is 75,000
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
Pls help you will get brainlist if ya do
What is a prime polynomial?
Answer:A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Step-by-step explanation:
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Mary has 10/12 of ube cake she shared 7/12 to ana. what part of cake was left to mary?
Answer:
3/12
Step-by-step explanation:
10-7 is 3, so its 3/12.
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
Dave's bank account balance reads -$345. What does this mean?
Answer:
hes in debt 345 dollars
Step-by-step explanation:
Bob gets the following homework grades:
2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
Tom gets the following homework grades:
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
Pat gets the following homework grades:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
Required:
Find the mean homework grade for each student, find the median homework grade for each student, and ESTIMATE the standard deviation for each student.
Step-by-step explanation:
for bob;
his grades = 2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
total = 60
mean = total/n
= 60/10 = 6
meadian is the middle value in the set of scores. the numbers are even so =
2+10 / 2
median = 12/2 = 6
standard deviation using excel = 4.216
for tom
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
total = 70
mean = 70/10 = 7
median = 7+7/2 = 14/2 = 7
standard deviation using excel = 0
for pat:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
total = 70
mean = 70/10 = 7
median = 8+8/2 = 16/2 = 8
standard deviation using excel = 3.265
five times a certain number plus 5 is 45
Answer:
8
Step-by-step explanation:
8x5=40 + 5 = 45
That's the answer
Answer:
8.
Step-by-step explanation:
five times 8 is 40. add five is 45.
Which of these is equivalent to 12x + 6 ? Select all.
A. 3(4x + 2)
B. 6(2x + 1)
C. 6x(2x + 1)
D. 2(6x + 3)
Answer:
A
Step-by-step explanation:
What is a square root inequality?
Answer:
(Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. ... Hence, squaring inequalities involving negative numbers will reverse the inequality.
Step-by-step explanation:
Hope this helps have a ncie day :)
Identify the slope and y-intercept of the line.
8x - 3y = 12
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4
Find the slope of the line that passes through (6, 8) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]
Simplify.
[tex]m = \frac{1}{4} [/tex]
Therefor, the slope is 1/4.
What is the image of (-8,-7) after a dilation by a scale factor of 2 centered at the origin?
Answer:
The image is (-16,-14)
Step-by-step explanation:
Given
Represent the point with A
[tex]A = (-8,-7)[/tex]
[tex]Scale\ factor = 2[/tex]
Required
Determine the image (A')
The image is calculated as:
[tex]A' = A * Scale\ factor[/tex]
[tex]A' = (-8,-7) * 2[/tex]
So, we have:
[tex]A' = (-8* 2,-7* 2)[/tex]
[tex]A' = (-16,-14)[/tex]
Hence, the image is (-16,-14)
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.
Answer:56
Step-by-step explanation:
Help please I suck at math
Answer:
1 biodata is on my class then you will contact or person
Answer:
hey
Step-by-step explanation: