Answer:
Step-by-step explanation:
You'll need to use parentheses here to remove ambiguity regarding what's in your denominators:
x - 8 x - 8
y = ------------------ = -----------------
x^2 + 6x - 7 (x + 7)(x - 1)
This last result becomes undefined at x = -7 and x = 1, and thus its graph is discontinuous at those x- values.
The points of discontinuity is x = -7, x = 1
Use parentheses to remove ambiguity considering the denominators
[tex]y=x-8/x^{2} +6x-7[/tex]
= x-8 ÷ (x+7)(x-1)
The result becomes undefined at x = -7
and x = 1,
thus its graph is discontinuous at those x values.
Therefore the points of discontinuity is x =-7 and x = 1.
Learn more about discontinuity points, refer:
https://brainly.com/question/9553665#SPJ2
Write each as a percent. Round to the nearest tenth of a percent
Answer:
0.9
Step-by-step explanation:
0.89
Tenths is the first number after the decimal
The second number after the decimal is higher than 5 is so you round the number next to it
So the answer is 0.9
0.9 as a percentage is 90%
Find the MAD of the data set 26,34,66,71,76,82,88,95. show work
Answer:
MAD mean absolute deviation = 18.9
Step-by-step explanation:
mean: 26 + 34 + 66 + 71 + 76 + 82 + 88 + 95 = 538/8 = 67.25
26 - 67.25 = 41.25
34 - 67.25 = 33.25
66 - 67.25 = 1.25
71 - 67.25 = 3.75
76 - 67.25 = 8.75
82 - 67.25 = 14.75
88 - 67.25 = 20.75
95 - 67.25 = 27.75
(MAD) mean absolute deviation: 41.25 + 33.25 + 1.25 + 3.75 + 8.75 + 14.75 + 20.75 + 27.75 = 151.5/8 = 18.9
First person to answer will mark brainliest
Answer:
B is correct my guy. Hope this helps!
what is equal to 3 * 3 * 3 * 3 * 3
Answer:
243 or 3^5
Step-by-step explanation:
You can do the product by multiplying starting from the left.
3 * 3 * 3 * 3 * 3 =
= 9 * 3 * 3 * 3
= 27 * 3 * 3
= 81 * 3
= 243
You can also change it to an exponential form.
3 * 3 * 3 * 3 * 3 = 3^5
Answer:
243
Step-by-step explanation:
3x3x3x3x3=243
What is this equal to 24=a(-2r1)(6-r2)
Answer:
24
_______
2r^3 - 12r
Step-by-step explanation:
Let's solve for a.
24 = a(−2r^1)(6 − r^2)
Step 1: Flip the equation.
2ar^3 − 12ar = 24
Step 2: Factor out variable a.
a(2r^3 − 12r) = 24
Step 3: Divide both sides by 2r^3 - 12r.
a(2r^3 − 12r) 24
__________ = ________
2r^3 - 12r 2r^3 - 12r
A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What
is its volume in cubic centimeters, to the nearest tenths place?
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
please help me !!!!!!!
Answer:
A.
Step-by-step explanation:
A square has a perimeter of 44cm. Calculate the area of the square.
Answer:
121 cm²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the measure of the side )
Given perimeter = 44 cm , then
s = 44 ÷ 4 = 11cm , thus
A = 11² = 121 cm²
Answer:
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
29
Step-by-step explanation:
45-16=29
Answer:
The length of AB is 29.
Step-by-step explanation:
You can tell by the endpoints of the line, A is 16 and B is 45. To find the length of a horizontal segment like this one, just subtract the larger endpoint value from the smaller one. Hope this helps!
T.T Calling all geniuses please help me
Answer:
It is the first one.
Step-by-step explanation:
"I" is for interest.
"P" is for the amount you deposited or your initial amount.
"R" is for the rate of interest (ex. 3.86%)
"T" is for the time passed.
An electronics store is selling a laptop for $760 at several of its locations. The production costs for this model of laptop have been included in
the graph, along with the expected revenue. How many laptops must the electronics store sell to break even?
160.000
WWW
-50,000
40,000
Total (dollars)
-30,000
Cx)
20,000
1,800
50
160
Number of Laptops
4
Answer:
B. 58
Step-by-step explanation:
In the picture attached, the question is shown.
At the break-even point, costs and revenues are equal. From the picture, we can see that both curves, C(x) - cost - and R(x) - revenue - are equal at some point between 50 and 60 laptops, then the correct option is 58.
Nine friends went on a camping trip a campsite costs 40 per night for the first 4 people and campers can pay an extra fee for each additional person if the group of friends rented one campsite for one night and paid 80 how much did the campground charge for each additional person
Answer:
8 dollars per extra person
Step-by-step explanation:
subtract the original 40 dollars from 80 ,you get 40,the probloem tells you that there is 9 people meaning there was 5 extras ,so 40/5=8
Answer:
$8 charge for each additional person
Step-by-step explanation
$40/night for each person
First 4 people already paid.
Leftover are 5 people.
9-4=5
Since first 4 people paid, the rest to be paid is $40.
$80-$40=$40
To find the charge for each person, divide the amount of money left by the amount of people left.
40÷5= 8
$8 is the additional charge for each additional person.
Explain the special pattern for sketching a parabola
Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:
[tex]x = \frac{-b +-\sqrt{b^2 -4ac} }{2a}[/tex]
Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.
Which of the following represents the translation of A (1, −2) along the vector <−5, 1> and then the vector <3, 0>?
A. A (1, −2) → A ′(2, −7) → A ″(6, −7)
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
C. A (1, −2) → A ′(−5, 1) → A ″(3, 0)
D. A (1, −2) → A ′(−5, −2) → A ″(−15, 0)
Answer:
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
Step-by-step explanation:
When you see anything in between <> (let's say <a, b> are the numbers), it basically means <x+a, y+b>.
So if you replace a with -5, b with 1, and x and y with (1, -2) you get...
= (1 + (-5), -2 + 1)
= (1-5, -1)
= (-4, -1) ----------> Those are the coordinates of the new point.
But wait, it says that we now have to translate along the vector <3, 0>
So (-4, -2) become the new (x, y) coordinates and <3, 0> become the new a, b
= (-4+3, -1 + 0)
= (-1, -1)
That means that the coordinates of point A'' are (-1, -1)
Another way you could do this is by combining the two translations to just do one translation. It'll skip over the middle step, but will still give you the correct answer.
You would combine them by adding the translations of the x-coordinates together and the y-coordinates together
= <-5 + 3, 1 + 0 >
= <-2, 1>
Now you translate the point by this vector and...
= (1 - 2, -2 + 1)
= (-1, -1)
Tada! It works!
Therefore, the answer is B.
3a + 7b > 2a – 8b solve for a
Answer:
a > -15b
Step-by-step explanation:
3a + 7b > 2a – 8b
3a - 2a > - 8b -7b
a > -15b
The value of is as follows:
a > -15b
3a + 7b > 2a – 8b
The question wants us to make a the subject of the formula,
Therefore,
3a + 7b > 2a – 8b
subtract 2a from both sides
3a - 2a + 7b > 2a - 2a - 8b
a + 7b > - 8b
subtract 7b from both sides
a + 7b - 7b > - 8b - 7b
a > -15b
Therefore,
a > -15b
read more: https://brainly.com/question/19274051?referrer=searchResults
How many students had more than 6 candy bars
use the picture above
Answer:
3
Step-by-step explanation:
you have to count all the xs past the number 6
What is the probability of having children that are all boys?
1/2
1/8
3/8
The side-lengths of a trapezoid are increased by a scale factor of 2. Predict
how this change will affect the perimeter.
A. The perimeter will double.
B. The perimeter will decrease by half.
C. There will be no change in perimeter.
D. The perimeter will increase by 2 units.
Which phrase represents the algebraic expression 5x - 9?
Answer:
The difference of five times a number and nine.
Step-by-step explanation:
Five times a number is for 5x, and putting a difference before that means it separates the 5x and 9 with a minus sign.
Answer:
The answer is D: The difference of five times a number and nine.
Step-by-step explanation:
=
An artist mixes 2 lbs of plaster
with 3 gallons of water to make paper
mache. If the artist uses 18 gallons of water How many pounds of plaster will the artist need
water, how many pounds of plaster
will the artist need?
There are 25 students in a class. 16 of those students are boys. What percent of the class are girls?
The percent of girls in the class is ____ %
Answer:
36 %
Step-by-step explanation:
9 girls = 36%
25 students = 100
Answer:
Step-by-step explanation:
25 students in a class and 16 out of the 25 students in the class are girls. There are 9 boys in the class because "25-9=16"
HOW TO SOLVE If we know that 9 out of the 25 students in the class are girls, we can represent it as the fraction . Next, we divide 35 by 9 to get a quotient of 0.36 and then multiply by 100 to get our percent of girls in the class which is 36%
PLS HELP ME ON MY ALGEBRA
Answer:
Step-by-step explanation:
you put your money into a savings account, and it warns interest find the simple interest paid on your investment of $1675 with 2% interest over ten years
Answer:
$335Step-by-step explanation:
[tex]p = 1675 \\ r = 2\% \\ t = 10 \: \: years[/tex]
Now let's find the simple interest.
[tex] \frac{prt}{100} \\ = \frac{1675 \times 2 \times 10}{100} \\ = \frac{3350}{10} \\ = 335[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year?
-must haves :)..
right answer.
makes sense.
step by step.
^I will mark someone the brainliest when someone answers this, thank youuu:)
Answer:
1,260
Step-by-step explanation:
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 1 options: A) Distributive property, subtraction property of equality, and multiplication property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and multiplication property of equality D) Addition property of equality and division property of equality
Answer:
D) Addition property of equality and division property of equality
Step-by-step explanation:
Step(i):-
Given equation 3 x -6 =12
Apply addition property of equality
Adding '6' on both sides , we get
3 x - 6 + 6 = 12 +6
3 x = 18
Step(ii):-
Apply Division property of equality
Dividing '3' on both sides , we get
[tex]\frac{3 x}{3} = \frac{18}{3}[/tex]
on simplification , we get
x = 6
Conclusion:-
The solution of the given equation is x =6
Answer:
D) Addition property of equality and division property of equality
Step-by-step explanation:
Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total
cost of the plants as an expression, first set up an expression showing how the
distributive property can shorten the process and then simplify it.
Step by step
Answer:
[tex]Total Plants = 4F + 2P + 10L+ 8S[/tex]
[tex]Total Plants = 2(2F + P + 5L+ 4S)[/tex] --- Distributive property
Step-by-step explanation:
Given
Ferns = 4
Palms = 2
Lillies = 10
Shrubs = 8
Required
Show the total cost of plants as an expression
Shorten it using the distributive property
First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;
So, 4 Ferns = 4F
2 Palms = 2P
10 Lilies = 10L
8 Shrubs = 8S
Total Plants = Summation of the above parameters
[tex]Total Plants = 4F + 2P + 10L+ 8S[/tex]
The above expression represents the total plants bought;
Now, to apply the distributive property; we simply look for a common factor;
In this case, the common factor is 2;
So, [tex]Total Plants = 4F + 2P + 10L+ 8S[/tex] becomes
[tex]Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})[/tex]
[tex]Total Plants = 2(2F + P + 5L+ 4S)[/tex]
I NEED HELP ASAP!!!
PLEASE HELP ME!!!
Answer:
A). X is 80 degrees
Step-by-step explanation:
B). We know this because AD and EH are congruent. Since B and F are also congruent, then x and the angle above B must be congruent. So, the angle an=bove B is 80 degress, which makes line AD 180 degrees, or a straight line. that must mean that x is 80 degrees as well.
I hope this works. Good luck!
Above are two different models of the same triangular handkerchief. If the area of the model on the right is 108 sq cm, what is the area of the model on the left?
A.
27 sq cm
B.
54 sq cm
C.
12 sq cm
D.
36 sq cm
Answer:
54
Step-by-step explanation:
The area of the model on the left is 12[tex]cm^{2}[/tex]
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
SCALE FACTOR FORMULAScale DirectionScale Up (smaller to larger) = [tex]\frac{Larger figure measurement }{Smaller figure measurement}[/tex]
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
According to question
area of right triangle which have (1cm= 2inch) is 108 [tex]cm^{2}[/tex] .
and Left triangle have (1cm= 6inch)
we will convert cm into inch for right triangle
area of right triangle = 108 [tex]cm^{2}[/tex]
as 1 cm = 2inch
1 [tex]cm^{2}[/tex] = 4 [tex]inch^{2}[/tex]
therefore,
108 [tex]cm^{2}[/tex] = 4 * 108 [tex]inch^{2}[/tex]
as mentioned that two different models of the same triangular handkerchief
and left triangle is 1 cm = 6 inch
1 [tex]cm^{2}[/tex] = 36 [tex]inch^{2}[/tex]
now we have to scale down as we have to larger to smaller
Scale Down (larger to smaller) = [tex]\frac{Smaller figure measurement }{larger figure measurement}[/tex]
= 4*108 / 36
= 12
Hence, the area of the model on the left is 12[tex]cm^{2}[/tex]
To know more about scale factor here :
https://brainly.com/question/26903822
# SPJ2
A magazine asks its readers to complete a survey on their favorite music and TV
celebrities. Classify the sample as one of the following.
A simple
B stratified
C convenience
D self-selected
Answer:
C convenience
Step-by-step explanation:
Convenience sampling (also known as availability sampling) is a type of non-probability sampling method in which data is collected from population members who are readily available for survey. An example for convenience sampling is the use of questionnaires or magazine to ask questions.
It is the most commonly used method of sampling because it is cheap incredibly prompt and uncomplicated.
Answer:
The correct option is;
D. Self-selected
Step-by-step explanation:
Self-selected sampling also known as volunteer sampling is a sampling method in which participants are those that voluntarily respond to an advert or to the request of the researcher who ask for members of the population to take part in the study
The magazine in the question has put out a survey of which the magazine is asking readers to complete and the readers can then decide if they wish to participate in the study which is a form of self-selected sampling.
Dr. Lin is working a 12-hour shift at the hospital. She has already worked 9[tex]\frac{3}{4}[/tex] After taking a [tex]\frac{1}{4}[/tex] hour break, Dr. Lin splits her remaining time among her last 4 patients. How much time does Dr. Lin spend with each patient?
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation: