Answers
Answer:
iii. (p - 7)(p - 3)
iv.(x - 8)(x + 4)
Step-by-step explanation:
iii. p² - 10p + 21
= p² - (7 + 3)p + 21
= p² -7p -3p + 21
= p(p - 7) - 3(p - 7)
= (p - 7)(p - 3)
iv. x² - 4x - 32
= x² - (8 - 4)x - 32
= x² - 8x + 4x - 32
= x(x - 8) + 4(x - 8)
= (x - 8)(x + 4)
Related Questions
If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choose
the chart that best evaluates the data.
Answers
Answer:
The answer is C
Step-by-step explanation:
Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=
Answers
Answer:
i have made it in above picture
How many solutions does the nonlinear system of equations graphed below
have?
Answers
Answer:
One. The point at which the parabola and the line intersect.
For each ordered pair, determine whether it is a solution to 7x - 4y= -5.
Answers
Please help
what is the measure in degrees of the highlighted ( the middle one) angle
Answers
Answer:
8x+7x+44.4=180
15x=180-44.4
15x =135.6
X=9.04
8x=9.04×8=72.32
What is the value of this expression when x=-6andY=-1/2
Answers
Let x = -6 and y = -1/2
4[(-6)^2 + 3)] - 2(-1/2)
4[(36 + 3)] + 1
4(39) + 1
156 + 1
Answer: 157
kfc has 11 more then twice as many customers as when they started selling food . kfc now has 73 customers . how may did they have when they started selling food .
Answers
Answer:
73 - 11 equals 62. THE ANSWER IS 31.PLEASE ADD AS BRAINEST.Step-by-step explanation:
what is 4/5 x 7/12 as a fraction
Answers
Answer:
4/5 x 7/12 = 28/60 as simplified as 7/15 in fraction form. 4/5 x 7/12 = 0.4667 in decimal form.
Batteries R Us is a manufacturer of batteries and are testing a new production technique for their most popular battery type. It is known that the mean lifetime of these batteries made using the previous production technique was 69 hours. The standard deviation in battery lifetime is 5.0 hours and it is assumed that this has not changed. They would like to know whether mean battery lifetime has increased with the new production technique. The following sample data of battery lifetimes has been collected from a random sample of 40 batteries made using the new manufacturing technique.
Battery lifetimes (hours)
82.5 78.4 80.2 78.7 67.8 76 74.8 73.9 68.8 70.3 70.7 70.7 77.9
80.5 73.8 80.979.2 74.173.2 76.1 69 73 70.9 63.3 67.8 78.5 68.7
67.5 68.2 68.2 73.3 75.4 73.2 72.2 72.6 72 71.3 69.9 69.6 70.4
Required:
a. Conduct a hypothesis test to test whether the new manufacturing process has increased mean battery lifetime.
b. Calculate the test statistic.
Answers
Answer:
(a) Accept the alternate hypothesis
(b) [tex]t = 104.86[/tex]
Step-by-step explanation:
Given
[tex]\mu= 69[/tex]
[tex]\sigma = 5.0[/tex]
The sample data
Solving (a): Test whether the process increases the mean battery life
First, we state the null hypothesis
This states that the mean is 69
[tex]H_o :\mu = 69[/tex]
Next, the alternate hypothesis is to test that the mean has changed.
i.e [tex]H_a: \mu \ne 69[/tex]
Calculate the mean:
[tex]\mu = \frac{\sum x}{n}[/tex]
[tex]\mu = \frac{82.5 +78.4 +80.2 +78.7 +67.8 +76 +74.8 +73.9 +68.8 +70.3 +70.7 +70.7......+69.6 +70.4}{40}[/tex]
[tex]\mu = \frac{2923.5}{40}[/tex]
[tex]\mu = 73.0875[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]
[tex]\sigma= \sqrt{\frac{(82.5-73.0875)^2 +(78.4 -73.0875)^2 +(80.2 -73.0875)^2 +(78.7 -73.0875)^2 +......+(70.4-73.0875)^2}{40}}[/tex][tex]\sigma= \sqrt{\frac{776.76375}{40}}[/tex]
[tex]\sigma= \sqrt{19.41909375}[/tex]
[tex]\sigma= 4.407[/tex]
From the calculations above: The calculated mean 73.0875 is not the same as 69.
Hence, we accept the null hypothesis that: [tex]H_a: \mu \ne 69[/tex]
Solving (b): The test statistic
This is calculated as:
[tex]t = \frac{\mu}{\sigma/\sqrt n}[/tex]
This gives:
[tex]t = \frac{73.0875}{4.407/\sqrt {40}}[/tex]
[tex]t = \frac{73.0875}{4.407/6.325}[/tex]
[tex]t = \frac{73.0875}{0.697}[/tex]
[tex]t = 104.86[/tex]
Question 6 of 25
Today Charlie put a ring on layaway by making a down payment of $85 and
agreeing to pay $18 per month, starting next month, for 21 months. When will
Charlie receive the ring?
O A. In 21 months
O B. In 1 month
O C. Today
OD. In 18 months
Answers
Charlie will receive the ring in 21 months.
What does layaway mean?It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.
Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.
Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.
Learn more about layaway here: https://brainly.com/question/4428781
#SPJ2
Divide the given polynomial by given monomial.
Answers
Answer:
i have made it in above picture
The three angles of a triangle are in the ratio 1:2:1.
a) Find all the angles of the triangle.
b) Classify the triangle in two different ways
Answers
Find the
area of each
triangle.
9 m
5 m
8m
Answers
Answer:
22.5 [tex]m^{2}[/tex]
Explanation:
The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh
In this case, the base is 9 m and the height is 5 m
9x5=45
45/2= 22.5
Which is an odd monomial function?
y=2x^3
Y= 1/x
Y = 5x^-9
O y= 3
Answers
Answer:
) -x*+5x=5. & x*-} x + 2x + x +4. 22 / 3 x ² - 1 / 8x + 5 x² { x + 5. --** - *-3.
Answer: y= 2x^3
Step-by-step explanation:
Double g, then subtract f from the result
Answers
Answer:
2g - f
Step-by-step explanation:
Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.
Answers
Answer:
Each shirt costs $ 10, while each short costs $ 15.
Step-by-step explanation:
Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:
Shirt = X
Short = Y
7X + 7Y = 175
6X + 7Y = 165
7X - 6X + 7Y - 7Y = 175-165
X = 10
7x10 + 7Y = 175
70 + 7Y = 175
7Y = 175 - 70
Y = 105/7
Y = 15
Thus, each shirt costs $ 10, while each short costs $ 15.
Answer:
3x + 4y =108
7x + 5y =114
Find the midpoint between -1/11 and 9/11. Pls, help asap! :)
Answers
Answer:
(4,11) is the midpoint :)
Step-by-step explanation:
it would be
(-1,11), (9,11)
-1+9/2, 11+11/2
8/2, 22/2
4,11
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate.
Which statement about the two pricing plans is true?
A Photographer A equipment fee is $25\$ 25$25 less than Photographer B
B Photographer B equipment fee is $25\$ 25$25 less than Photographer A
C Photographer B charges $15\$ 15$15 per hour more than Photographer A
D Photographer A charges $15\$ 15$15 per hour more than Photographer B
Answers
Answer: D
Step-by-step explanation:
Please help! question is in the picture!
Answers
9514 1404 393
Answer:
(5, 1) or maybe (h, k)
Step-by-step explanation:
The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).
In the generic vertex form ...
f(x) = a(x -h)² +k
the letters (h, k) are used to represent the vertex.
__
You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.
combined the like terms to create an equivalent expression 5t+10-4-t
Answers
Subtract t from 5t and subtract 4 from 10
Simplify. Rewrite the expression in the form 5^n. 5^10/5^3
Answers
Answer:
5^7
Step-by-step explanation:
I have an old alarm clock, on which the hands move at only 95% of the speed that they should do.
I need it to wake me up at 7.30 am, so every night, at 10.30pm, I change the time shown on the
clock so that it will show the correct time at 7.30 am when the alarm goes off.
(a) What time does the clock show at 10.30 pm, immediately before I change it?
(b) What time do I change it to?
Please help immediately!!!
Answers
9514 1404 393
Answer:
a) 9:45 pm
b) 10:57 pm
Step-by-step explanation:
In the 15 hours between 7:30 am and 10:30 pm, the clock hands will have moved 15×0.95 = 14.25 hours = 14 hours and 15 minutes.
At 10:30 pm, the clock indicates 9:45 pm.
__
b) In the 9 hours between 10:30 pm and 7:30 am, the clock will have moved 9×0.95 = 8.55 hours, or 8 hours 33 minutes. That is, the clock needs to be set 27 minutes ahead of the actual time.
The clock need to be set to 10:57 pm.
_____
Alternate solution
At 95% speed, the clock loses 5%×60 minutes = 3 minutes each hour. In the 15 hours from morning to night, the clock will be 45 minutes slow. It will indicate 9:45 at 10:30 pm.
In the 9 hours from night to morning, the clock will lose 27 minutes so needs to be set 27 minutes fast. It should be set to 10:57 pm at 10:30 pm.
An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
competing on the United States Women's Olympic Swim Team, will swim her best events each year with the hope of
continuous Improvement. The following table is a record of the swimmer's best times for the 100 meter freestyle event,
measured In long course meters.
Long Course Recorded
Season Best Time
2005 2:33.42
2006
2:24.81
2007
2:10.93
2008
2:03.45
2009
1:58.67
2010
1:59.17
1:55.06
2011
2012
1:55.82
2013
1:54.81
2014
2:00.03
1. Create a scatter plot representing the data displayed in the table.
2. Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
3. Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually
calculate the slope or write the equation for the line of best fit.
Please help me
Will give brainly
Just give me the answer to 2 and 3
I already have 1
I just need 2 and 3
Please and thank you
Please answer this
Answers
Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875
Step-by-step explanation: like what you just put in your picture
Long Course Season Recorded Best time
2005 2:33.42
2006 2:24.81
2007 2:10.93
2008 2:03.45
2009 1:58.67
2010 1:59.17
2011 1:55.06
2012 1:55.82
2013 1:54.81
2014 2:00.03
-Since we can see from the scatter plot that it has negative correlation.
Equation for the line of best fit is given by f(x)=-4.28402x+0.0875
- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...
- Hope this help :)
Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *
Answers
Answer:
$35
Step-by-step explanation:
188-48 gives you the 4x what he saved
140/4 gives you the total which is 35.
Anyone know how to do this?
Answers
Answer:
They cannot form a triangle.
Step-by-step explanation:
A triangle can only be formed if the sum of the lengths of any 2 sides are greater than the 3rd side. 2 + 7 is less than 15, so this cannot be a triangle.
What is the y intercept please I need help !!!!
Answers
Answer:
answer issssssssssssssss on the fhoto
what is 4 divided by 11 in long division
Answers
Answer:
0.3636363636
it keeps on continuing
if angle ABC = 105° is bisected by an angle bisector EF , then measure of angle FBC is :
a) 52
b) 52.5°
c) 62.5°
d) 62°
tell me pwease
Answers
Bisect means in half and half of 105° is 52.5°
Solve for x: 8x = 2/3
solve for x: 1/4x =5
two questions
Answers
Answer: x=5
x= 2
Step-by-step explanation:
(1/4×1/4)-6÷1/3+2??? what is the answer ?????
Answers
Answer:
1/16
Step-by-step explanation:
(1/4×1/4)-6÷1/3+2
(1/16) - 6 ÷ 1/3 + 2
1/16 - 2 + 2
1/16 - 32/16 + 2
-31/16 + 2
-31/16 + 32/16
= 1/16
Hope this helps!