Factor out the numerator first
y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3The hole is at x-3=0 i.e x=3
And
y=3+3=6The hole is at (3,6)
1. Which is the scale factor that will carry the smaller triangle to the larger for the similar triangles ABC and DEF shown below?
A. scale factor = 6/5
B. scale factor = 5/4
C. scale factor = 3/2
D. scale factor = 4/3
Answer:
you answer is B. scale factor = 5/4
Answer:
B
Step-by-step explanation:
24.5 ÷ 18.375 = 5/4
23 ÷ 17.25 = 5/4
Answer number 7 part B please.
Answer:
C. About twice as many voters will vote yes on proposal 7 as will vote on proposal 4. TrueStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice below represents the number of students with scores between 72 and 82?.
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 10[/tex]
The proportion of students with scores between 72 and 82 is the p-value of Z when X = 82 subtracted by the p-value of Z when X = 72.
X = 82:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 72}{10}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 72}{10}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
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Use the right formula from the image to find the length of the segment with endpoints at (2, 7) and (8, -1). Show your work.
Answer: i believe the correct formula is A
Step-by-step explanation:
What is the value of the expression below when y=10y=10?
5y+3
5y+3
Answer:
53
Step-by-step explanation:
I assume the question is find the value of 5y+3 when y=10.
5y+3
5*(10)+3
= 50 + 3
=53
Is the data set approximately periodic? If so, what are its period and amplitude?
Considering the given table and the periodicity concept, it is found that the data set is not periodic.
What is the period of a data-set?The period of a function is given by the distance between it's repetitions.
An example of a periodic data-set with a period of 3 would be 1,2,3,1,2,3,1,2,3,...
In this problem, looking at the table, it is found that there are no patterns of repetitions, that is, the number of cars washed do not follow a repeated pattern, hence the data set is not periodic.
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Find an expression for the number in the nth term pattern of the sequence.
4 , 7 , 12, 19
Answer:
n^2 + 3.
Step-by-step explanation:
4 7 12 19
Differences are 3 5 7 so this a quadratic sequence.
2nd difference = 2 2
So the first part of the expression is n^2
Terms: 4 7 12 19
n^2 1 4 9 16
Difference = 3 3 3 3 3
So the answer is n^2 + 3.
Cylinder with height of 5 and length of 12 what’s the volume
Answer:
okay let's start
Step-by-step explanation:
[tex]v = \pi \: r\: ^{2} h \\ h = 5 \: r = (12) \div 2 = 6 \\ v = \pi \times 6 ^{2} \times 5 \\ = 565.4866776[/tex]
What is the correct answer NEED ANSWER ASAP
Answer:
f(-1) = 4
Step-by-step explanation:
Using the Quadratic Formula [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex] our Polynomial to find our zeros values on the x-axis.
Any other factoring method that you can think and do can also work.
To find our (h,k) or origin we use this formula [tex]h=x=-\frac{b}{2a}[/tex] and then plug our h=x into the equation to get out k.
To find our y-intercept. Plugin x = 0 into the equation to get y.
I used the internet to factory your equation f(x) and got
f(x) = 2(4x+3)(x-1)
x = -3/4 , 1
Substitute -1 into the equation to solve f(-1).
f(-1) = 8*(-1)^2 - 2*(-1) - 6 = 8 + 2 - 6 = 4
f(-1) = 4
What is the slope of the line that passes through the points (4, 7) and (8, 9)
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = [tex]\frac{y{2}-y{1} }{x{2}- x{1} }[/tex] = [tex]\frac{y}{x}[/tex]
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = [tex]\frac{8-4}{9-7}[/tex]
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = [tex]\frac{8-4}{9-7}[/tex] = [tex]\frac{2}{4}[/tex]
Simplify,
⇒ [tex]\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Therefore, the Equation of the line is y = 0.5x + 5.
In Jenny's bucket there are 7 brown worms and 10 red worms. Jenny is going to choose 11 worms at random from the bucket to use for fishing. What is the probability that she will choose 5 brown worms and 6 red worms? Round your answer to three decimal places.
Answer:
5/7 11/17 = 0.65
5/10
Step-by-step explanation:
Ryan used 50 apples to make several pies. He put the same number of apples in each pie. He had 1 apple left over. How many pies did he make ?
Answer:
7
Step-by-step explanation:
50-1 = 49
Since all pies must have the same amount of apples, we can do √49 and get 7, meaning there are 7 pies with 7 apples each.
Answer: 7
Step-by-step explanation: of he had 1 apple left, he used 49 Apples.
if he used sane number of apple in each pie, we can use square root of 49 which is 7
(x+4)+(x+7)=81
leave your answer in terms of pi. what is the area in square feet?
options :
16π
81π
9π
49π
please show work.
In this article, I will show you how to find the area of a circle and express your answer in terms of pi (π). First, you'll need to familiarize yourself with the formula for calculating the area of a circle:
A = π * r²
Let's define our variables:
A: area of the circle
π: pi (a mathematical constant that is approximately equal to 3.141492 . . .)
r: radius of the circle (the distance from the circle's center point to its edge)
Typically, to find the area of a circle, we would simply plug in the circle's radius for r and 3.141592 for π. If so, our answer would be a number.
Therefore, the answer is 16π.
omg help please im begging 
Step-by-step explanation:
The cost of one song is 2.56/2
= 1.28
Mr. Wilson wants to buy a new
computer. The regular price is
$1,049. Mr. Wilson has a 20% off
coupon. After using the coupon,
he must pay a sales tax of 5.25%.
What is the final cost of the
computer?
For a school lunch you can get a
hamburger, hot dog, or chicken sandwich.
To drink you can get a soft drink or a
milkshake. List all of the different lunches
consisting of 1 sandwich and 1 drink are
possible below and give the total number
of possibilities as well.
Answer: Ham and soft
Ham and milk shake
Hot dog and soft
Hot dog and milk shake
Chicken and soft
Chicken and milkshake
Total number of possiblities 3 × 2 = 6 or listed above
Step-by-step explanation:
Calculate the relative frequency of the penny landing on tails.
Answer:
1/2.
Step-by-step explanation:
There are 2 possible outcomes when you toss a penny = tails or heads. Landing a tail is 1 outcome.
Sp the relative frequence of a tail = 1/2.
a lightbulb manufacturer produces 20,000 lightbulbs each week. they ship the lightbulbs to stores in cartons of 75. how many cartons are needs to ship 20,000 lightbulbs.
Answer:
267
Step-by-step explanation:
20,000/75= 266.666666
round up to 267
Under his cell phone plan, Oliver pays a flat cost of $49 per month and $5 per gigabyte. He wants to keep his bill at $73.50 per month. How many gigabytes of data can he use while staying within his budget?
He must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Oliver pays a flat cost of $49 per month and $5 per gigabyte.
Let the number of gigabytes he consumes be x,
He wants to keep his bill at $73.50 per month. So,
49 + 5x = 73.50
5x = 73.50 - 49
x = 24.5/5
x = 4.9
He must not consume less or more than 4.9 gigabytes to maintain his bill at $73.50 per month.
Thus, he must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
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x <-2 and x < -5
Rsm question
Answer:
-6, -7, although if you can select everything under -5 but not containing it select that
Step-by-step explanation:
Everything less than -5
Use the formula for simple interest. A=(p)(r)(t) remember, a refers to the interest accrued. Calculate the total interest tom would pay, in addition to paying back his $9,000 in principal. $970 $1,970 $2,970 $3,970
Answer:
2,970$
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The exact circumference of a circle is 18π inches. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
254.34
Step-by-step explanation:
Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.
If the universal set contains natural numbers that are at most 25, and A is
the set of multiples of 3 that are less than 20, define A.
(Your answer should look like. { #,##} Do not put spaces between
comma and the number. )
The set A defined as a multiple of 3 that are less than 20 is given as:
A = {3,6,9,12,15,18}
What is a set?A set is a collection of elements in a defined order
How to write the universal setThe universal set U which contains natural number of at most 25 is given as
U = {1,2,3,4,5,6,7,8,9,10,...,25}
How to write the elements of set AThe set A defined as a multiple of 3 that are less than 20 is given as
A = {3,6,9,12,15,18}
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(100 points! :D)Rewrite this non-statistical question as a statistical question.
"How many brothers do you have?"
l l
∴ ∴
V
Answer:
How many brothers and sisters do people in our class have?
Students might suggest that we can ask how many siblings, or they might suggest we ask how many brothers, how many sisters and how many altogether.
The idea of asking about brothers and sisters separately allows for a deeper exploration of the data and a more in depth answer to our investigative question.
Step-by-step explanation:
If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?
Answer:
perfect square trinomial methodIf a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered? Summary: If a polynomial has three terms, x2 + 12x + 36, the perfect square trinomial method can be considered to find the factor of the expression.
A) These polygons are similar. Determine the values of x° and y°.
Jayla bought 4.3 pounds of apples. Jaden bought 2.73 pounds of apples. How many
more pounds of apples did Jayla buy than Jaden?
Sketch the graphs. -3x+4y=-4
Answer:
(0,-1)
Step-by-step explanation:
Graph the line using the slope and the y intercept
y=mx+b form: y=3/4x-1
Answer:
(0,-1) (1.333, 0)
Step-by-step explanation:
I really need help because i have been working in this problem for 30 MINUTES I also don't understand how to end this problem
Find the exact solution and an approximate solution to the nearest tenth
4√15/1+√3=1+√3/x
Solve using cross products
Solve the rational equation by combining expressions and isolating the variable
Exact Form:
[tex]x=\frac{(121\sqrt{3}-12\sqrt{15})(4\sqrt{15}+\sqrt{3}+1)}{27842}[/tex]Decimal Form:
[tex]x=0.10675865[/tex]According to financial experts, a renter should allow 25% - 30% of their gross income for rent. Brandon makes $52,000 per year. What is the most he should spend on rent per month?