to resolve this type of exercise you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now -(2)^2-4(1)(3) = -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis
2) the graph cut the y axis eN Y = 3 for x= o, F(0) = 0+2*0+3 = 3
3) This is the graph
Factor the Following Expression using the greatest common monomial factor. (x^p+2)(y^p+2) + (x^p+2)(y^p-1) + (x^p+1)(y^p+1) + (x^p+1)(y^p-1)
Anybody know how to figure this one?
20 POINTS!!!
a point is translated 2 units to the right and five units down on the coordinate plane, how will this affect the x- and y- coordinates of the point?
Which graph represents the function f(x)=1/x+3-2
files are attached below
Answer:
The graph as shown below.
Step-by-step explanation:
Given : The function [tex]f(x)=\frac{1}{x-3}-2[/tex]
We have to plot the graph for the given function [tex]f(x)=\frac{1}{x-3}-2[/tex]
Consider the given function [tex]f(x)=\frac{1}{x-3}-2[/tex]
Domain of function [tex]f(x)=\frac{1}{x-3}-2[/tex]
DOMAIN is set of input values for which the function is real and has defined values.
So, The given function is undefined at x = 3
So, Domain is [tex]x<3\quad \mathrm{or}\quad \:x>3[/tex]
RANGE is the set of values of dependent variable for which the function is defined.
Inverse of given function is [tex]y=\frac{3x+7}{x+2}[/tex]
Now, domain of inverse function is [tex]f\left(x\right)<-2\quad \mathrm{or}\quad \:f\left(x\right)>-2[/tex]
Now, x intercept and y- intercepts
x intercept where y = 0 and y- intercept where x= 0
Let f(x) = y
Then [tex]y=\frac{1}{x-3}-2[/tex]
Put x = 0
thus y- intercept is [tex]\left(0,\:-\frac{7}{3}\right)[/tex]
Now put y = 0
Then x- intercept is [tex]\left(\frac{7}{2},\:0\right)[/tex]
Now, Calculate the vertical and horizontal asymptotes,
Vertical asymptotes,
Go over every undefined point and check if at least one of the following statements is satisfied.
[tex]\lim _{x\to a^-}f\left(x\right)=\pm \infty[/tex]
[tex]\lim _{x\to a^+}f\left(x\right)=\pm \infty[/tex]
Thus, The vertical asymptotes is x = 3
And For horizontal asymptotes,
[tex]\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{1}{x-3}-2\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b[/tex]
We have y = -2 as horizontal asymptotes.
Plot we get the graph as shown below.
hello can you please help me posted picture of question
A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?
Q # 11 write the rule for the linear
You roll a 6-sided die.
What is P(prime)? Simplify your answer and write it as a fraction or whole number.
P(prime) =
the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight
Answer:2 .25 Tons
Step-by-step explanation:
Weight of truck + sand when filled= 18 tons
Discharge rate per minute= 1/8 tons/ minute
Quantity of sand in the truck will be:
1/8tons per minute×18tons = 9/4 = 2.25tons
List two school activities that u do in the morning time and afternoon time.write time for these two activities
Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).
The product of two consecutive even integers is 120. Find the interfere
Simplify the expression 6sqrt2/sqrt3
"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probability of type i error if the population mean time lag is 20 days?"
Answer:
17
Step-by-step explanation:
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nearest 1000) a 12,000 b 13,000 c 14,000 d 15,000
A.) 12,000
B.) 13,000
C.) 14,000
D.) 15,000
Can someone tell me if I got this answer correct? If not, what is the correct answer?
You are laying an asphalt driveway. How much area must you cover if the driveway is 21 feet long and 10.5 feet wide?
1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the second slip of paper. What is the probability of selecting and odd number and then a number greater than 9? 1/2 1/18 6/10 3/25
Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime total finance charges
Given: ΔSTQ, ST = TQ
Line SD is perpendicular to TQ
m∠1=32°
Find: m∠S, m∠T, m∠Q
Answer:
s=58 degrees, Q=58 degrees, T=64 degrees
Step-by-step explanation:
Consider the triangle formed by ∠D , ∠1, and ∠Q ;
Given m∠1 = 32° ;
and m∠D = 90° (a "right triangle" ; as shown in "image attached" ;
and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;
→ m∠Q = 180 − (90 + 32) = 180 − 122 = 58
I am needing help please help me
On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to complete the last task to make an item.How many items can be completed in 25 minutes?
Solve the system of equations. -6y+11x = -36
-4y+7x=-24 −6y+11x=−36 −4y+7x=−24 x= y=
The solution to the system of equations is:
x = 0
y = 6
To solve the system of equations:
-6y + 11x = -36
-4y + 7x = -24
You can use the method of substitution or elimination. I'll use the elimination method here.
First, multiply the second equation by 3 to make the coefficients of y in both equations equal:
-6y + 11x = -36
-12y + 21x = -72
Now, you can subtract the first equation from the second equation to eliminate x:
(-12y + 21x) - (-6y + 11x) = (-72) - (-36)
Simplify:
-12y + 21x + 6y - 11x = -72 + 36
Combine like terms:
-6y + 10x = -36
Now, divide both sides by 2 to simplify:
(-6y + 10x) / 2 = (-36) / 2
-3y + 5x = -18
Now you have a simplified system of equations:
-6y + 11x = -36
-3y + 5x = -18
You can solve this system using either the substitution or elimination method. Let's use the elimination method again. Multiply the second equation by 2 to make the coefficients of x equal:
-6y + 11x = -36
-6y + 10x = -36
Now, subtract the first equation from the second equation:
(-6y + 10x) - (-6y + 11x) = (-36) - (-36)
Simplify:
-6y + 10x + 6y - 11x = -36 + 36
Combine like terms:
-1x = 0
Now, solve for x:
x = 0
Now that you know the value of x, you can substitute it into one of the original equations to find the value of y. Let's use the first equation:
-6y + 11x = -36
-6y + 11(0) = -36
Simplify:
-6y = -36
Now, solve for y:
y = (-36) / (-6)
y = 6
for such more question on system of equations
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The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play?
Answer:
Step-by-step explanation:
it shows 16 dots but it keeps saying i get it wrong
Answer:
16
Step-by-step explanation:
Plato ( just put 16 nothing extra “
Find the area of the circle in terms of Pi
A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?
How do I answer this dot plot?
Please help !!!!!!!!
Eya is 7 less than threee times bills age.if eya is 17 how old is bill
Mason earns $70,000 per year and puts 7% of his earnings into a savings account. What is the total amount in Mason's account after 1 year if the interest rate is 3%?
A. $147
B. $72,100
C. $5,047
D. $2,100
Annual income of Mason is 70,000 dollars.
He saves 7% of his annual earnings into a saving account.
So, his savings would be 7% of 70,000 = 0.07 x 70,000 = 4,900 dollars.
The saving account gives an interest rate of 3% per annum.
So the interest accrued on 4900 dollars over the year would be 3% of 4,900 = 0.03 x 4,900 = 147 dollars.
Total amount in the saving account would be sum of principal amount and interest accrued.
Total balance = principal amount + interest accrued.
Total balance = 4900 + 147 = 5,047 dollars.
Hence, option C is correct i.e. 5,047 dollars.