Answer:
Angle #1 is 45 degrees
Angle #2 is 60 degrees
Angle #3 is 75 degrees
Step-by-step explanation:
x- angle #1
y- angle #2
(180-x-y)- angle #3
3x=180-x
4x=180
x=45
180-x-y=y+15
y=60
180-60-45=
180-105= 75
Where is the function f(x)=3x^2-6x-45/x^2-5x discontinuous, and what types of discontinuities does it have?
Answer:
Below.
Step-by-step explanation:
f(x)=3x^2-6x-45/x^2-5x
= 3x^2-6x-45 / (x(x - 5))
The denominator is zero when x - 0 and x = 5.
So there will be a vertical asymptote at x = 0 and a hole at x = 5.
If we do the division we get f(x) = 3 remainder 9x - 45
so there will also be a horizontal asymptote where x = 3.
Answer:
Hole at (3, 4.8)
Asymptotes at x = 0 and y = 3
Step-by-step explanation:
[tex]f(x)=\dfrac{3x^2-6x-45}{x^2-5x}[/tex]
Factor the numerator:
[tex]\implies 3x^2-6x-45[/tex]
[tex]\implies 3(x^2-2x-15)[/tex]
[tex]\implies 3(x^2+3x-5x-15)[/tex]
[tex]\implies 3(x(x+3)-5(x+3))[/tex]
[tex]\implies 3(x-5)(x+3)[/tex]
Factor the denominator:
[tex]\implies x^2-5x[/tex]
[tex]\implies x(x-5)[/tex]
Factored form of function:
[tex]\implies f(x)=\dfrac{3(x-5)(x+3)}{x(x-5)}[/tex]
Discontinuity: a point at which the function is not continuous.
Holes
After factoring the rational function, if there is a common factor in both the numerator and denominator, there will be a hole at that point (x-value):
[tex]\implies (x-5)=0 \implies x=5[/tex]
Factor out the common factor from the function and input the found value of x into the new function to find the y-value of the hole:
[tex]\implies f(x)=\dfrac{3(x+3)}{x}[/tex]
[tex]\implies f(5)=\dfrac{3(5+3)}{5}=4.8[/tex]
Therefore, there is a hole at (5, 4.8)
Asymptotes
To find the vertical asymptotes, set the denominator of the new (factored) function to zero and solve:
⇒ Vertical Asymptote at x = 0
As the degrees of the leading terms of the numerator and denominator are equal (both x²), the horizontal asymptote is equal to the ratio of the leading coefficients.
⇒ Horizontal Asymptote at y = 3
A sandwich shop has four types of sandwiches: ham, turkey, chicken, and PB&J.
Each sandwich can be ordered with white bread or multi-grain bread. What is the probability that the sandwich is ham with white bread?
Answer:
4
Step-by-step explanation:
each sandwich can be made on either white or whole grain. since there are only 4 options for sandwiches there are only 8 choices in total. ham w white or ham w grain, turkey w white turkey w grain, etc. so there is a probabilty of 4. let me know if im right!
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=-4.9t2+64t+136.
The rocket will reach its peak height of 345 meters above sea level at _____ second
Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:
[tex]t_v = -\frac{64}{2(-4.9)} = 6.53[/tex]
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A force of 72 N is applied to an area of 610 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Answer:
[tex]2 \frac{n}{ {m}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{f}{a} = \frac{72}{6.1 \times 6.1} = \\ \frac{72}{37.21} = 1.93 \\ 2[/tex]
9!/6!
Evaluate each factorial expressions
Answer:
I don't know what I'm doing
Step-by-step explanation:
9! = 362 880
6! = 720
362 880 / 720 = 504 = 384 + 5!
Answer:
9!/6! would be (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) / (6 x 5 x 4 x 3 x 2), which is 504.
Step-by-step explanation:
A factorial, by definition, is the product of a given whole number and each positive whole number less than itself. A factorial is denoted by an exclamation point (n!), with n being the number you want to find the factorial of.
Ex. 2! = 2 x 1 (you can get rid of the x1 because it does nothing)
3! = 3 x 2
4! = 4 x 3 x 2
and so on...
Which statement is true?
11 < 10
11 < 10
-8 > -9
-8 > -9
3 > 5
3 > 5
-2 < -10
Answer:
-8 > -9
Step-by-step explanation:
Every other question says greaten then, on the other side or other way around.
The higher the number in negatives, the less it actually is.
-8>-9
Step-by-step explanation:
when its a negative number, the number closer to zero is the answer
what is 17+6-6+6 divided by 6 + 17.
only 99.9 percent of people could solve. ill give brainiest to first to answer.
Answer:
[tex]\boxed{\bold{1}}[/tex]
Using Pedmas rule:
[tex]\dashrightarrow \sf \dfrac{17+6-6+6}{6+17}[/tex]
subtract: 6-6 = 0
[tex]\dashrightarrow \sf \dfrac{17+6}{23}[/tex]
simplify the following
[tex]\dashrightarrow \sf \dfrac{23}{23}[/tex]
the numerator and denominator cancels out
[tex]\dashrightarrow \sf 1[/tex]
Given statement:
17 + 6 - 6 + 6 divided by 6 + 17The phrase "divided by" means division. Therefore,
⇒ (17 + 6 - 6 + 6) ÷ (6 + 17)
⇒ (17 + 6) ÷ (6 + 17)
Recall: A number divided by itself is 1
⇒ 1
Therefore, 1 is the solution to the expression.
y(z + y): use y = 2, and z = 4
A car who travels 225km in 15 hours, what is the average speed?
Answer:
= 15km/hour
Step-by-step explanation:
Distance = 225km
Time = 15 hours
We will divide distance over time and then we will get the average speed so the average speed will be = 15 km\hour.
Answer:
Below in bold.
Step-by-step explanation:
Speed = distance / time
= 225/15
= 15 km/hour.
What's the answer to this?
Answer: 4
Step-by-step explanation:
First, we will find the length of sides TU and T'U' to compare. Then, we will find the scale factor. Since the shape gets bigger and not smaller, we will have a whole number - not a fraction.
TU = 3 units
T'U' = 12 units
12 / 3 = 4
A scale factor of four.
a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup
Answer:
The price per cup is $0.19
Step-by-step explanation:
In a quart there are 4 cups.
1.52÷4=0.38
But because there are 2 quarts you have to divide it by 2.
Which is 0.19
Thats the answer
Pls give Brainliest
Im desperate...
The function C (t) = StartFraction 4 t Over t squared + 2 EndFraction models the cost per student of a field trip when x students go on the trip. How is the parent function On a coordinate plane, 3 curves are shown. One curve opens up and to the right in quadrant 1 and goes through (2, 4) and (4, 1). Another curve approaches x = negative 2 in quadrant 2, changes direction at (0, 0), and then decreases in quadrant 4 and approaches y = 2. The third curve opens down and to the left in quadrant 3 and goes through (negative 4, negative 1) and (negative 2, negative 4). transformed to create the function On a coordinate plane, 2 curves are shown. One curve opens up and to the left in quadrant 2 and goes through (negative 4, 8) and (negative 6, 6). Another curve opens down and to the right and goes through (negative 1, negative 3), (0, 0), and (6, 3).?
Answer:
It is vertically stretched by a factor of 200 and shifted 10 units up.
Step-by-step explanation:
cool like that
It is vertically stretched by a factor of 200 and shifted 10 units up.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
How do you write a function?You write functions with the function name followed by the dependent variable.
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Which expression does (cos 3x)(cos x) − (sin 3x)(sin x) simplify to?
cos 4x
sin 2x
cos 2x
sin 4x
The result for the expression (cos 3x)(cos x) − (sin 3x)(sin x) is cos 4x.
Trigonometric Identities What is trigonometric identities ?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
The addition/sum formula in trigonometry:In terms of functions of A and B, angle addition formulae express trigonometric functions of sums of angles A[tex]\frac{+}{_}[/tex]B.
Sum formula or cos:cos (A+B) = cosA.cosB + sinA.sinB
Application of sum formula of cos:The give equation is as follows,
(cos 3x)(cos x) − (sin 3x)(sin x)
Applying the sum formula,
= (cos 3x)(cos x) − (sin 3x)(sin x)
= cos(3x + x)
= cos 4x
Therefore, the result of the given equation is cos 4x.
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Please answer as soon as possible, thankyou.
The coordinates of point A when it is rotated about 180 degrees will be (7,-4).
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
Point A is shifted by an angle of 180 degrees about an origin.As it is turned 180 degrees from its initial position ( -7,4) just opposite side of the origin so the new coordinates of the point will be (4,-7).
Therefore the coordinates of point A when it is rotated about 180 degrees will be (7,-4).
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Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) – C(x).
Which expression represents P(x), if R(x) = 2x4 – 3.rº + 2x – 1 and C(x) = x4 – x2 + 2x + 3?
24 - 303 – 22 + 4x + 2
24 – 3x3 + x2 – 4
2008 – 3203 + x2 - 4
3x4
32322 + 4x + 2
Answer: 200x9
Step-by-step explanation: division addion and multiplecatin
<~~• ¥ Pls HELP me!! ¥ • ~~>
Answer:
18
Step-by-step explanation:
Area of a triangle: 0.5 x base x height
In this case: 0.5 x 9 x 4
hope this helps
have a good day
Answer:
Area = 18
Step-by-step explanation:
Formula
b*h /2
so
9 *4 /2
= 18
Triangle congruence by SSS/SAS
State if the two triangles are congruent. If they are, state how you know.
Answer:
if all three side equal to another traingle than we can say SSS congruent criteria
if two side and one angle equal than we can say SAS criteria
Step-by-step explanation:
I hope it's helpful for you-n+(-3)+3n+5
please help me with this
Answer:
2n + 2
Step-by-step explanation:
If the directions for this problem say to "Simplify" then what you will do is to combine like terms. This is an expression because there is no equal sign. If it had an equal sign (and more information) it could be solved.
Since it only an expression we simplify:
-n + (-3) + 3n + 5
= -n + 3n + (-3) + 5
= 2n + 2
Answer:
I believe that it is, 2n + 2.
Step-by-step explanation:
You add all the common factors ( sorry if its a wrong vocab word ) -
( {-3} + 5 ) and ( 3n + { -n } )
-3 + 5 would also be 5 - 3 = 2
3n + -n would be 3n - n = 2n so it would be,
2n + 2 or 2 + 2n.
Question 16 of 20
What is the degree of the polynomial 16x2 - 11x3 + 18?
Answer:
3
Step-by-step explanation:
Find the raised power (exponent) that is greatest in value in order to find the degree of a polynomial. In this example, the highest power is 3, so that is the degree of the polynomial.
hope this helps!
On a coordinate plane, the pre-image is shifted 2 units to the right and 1 unit up. It is rotated 90 degrees counterclockwise.
Which sequence of transformations produced the image?
Answer:B.
Step-by-step explanation:
B.a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin
PLEASE HELP ME WITH THIS!!!
Answer:
B. 1
Step-by-step explanation:
imagining where 10 would be on the graph you can see that the line will cross with 1 missed shot
So i can not figure out the answer to this question if anyone could help that would be awesome
Answer:
MN is correct
Step-by-step explanation:
A segment bisector passes through the midpoint of the segment and divides it in half. Since MN does both of these, it is the segment bisector.
Answer:
MN: 32
Step-by-step explanation:
Which function results after applying the sequence of transformations, in this order, to f(x) = x^5
• stretch vertically by 3
• translate up 1 unit
• translate left 2 units
Answer:
C. f(x) = 3(x+2)^5 + 1
Step-by-step explanation:
The basic equation take the form a(x-h)+k
We can plug in the values of 3 for a, 1 for k, and 2 for h, and get the equation f(x) = 3(x+2)^5 + 1
Answer the following.
Calculate the cost of carpet for the following room.
The room is 15 feet x 12 feet. The cost of the carpet is $2.99 per square foot and the cost of
the pad is $.50 per square foot. Installation costs are $.50 per square foot.
Answer:
I think the total is 628.20$
Step-by-step explanation:
15*12=180
180*2.99=538.2
180*.5=90
90+538.2=628.2
Hope this helped :)
The length of side AI is?
The length side of IH is?
The area of the visible side of the model is?
Answer:
AI=3.25 IH= 4.2
Step-by-step explanation
The distance between C and D is 1.3 inches, the distance between E and F is 0.75 inches and the distance between G and H is 1.2 inches. This is true because the model says so. If you look closely together, this is equal to the distance between AI which is the length of AI. The answer would be 1.2+1.3+0.75=3.25. To find the length of side IH you do the same strategy, the distance between sides D and E is 4.8 inches, at the bottom is 9 inches of distance between side I and side F. 9-4.8 inches is equal to 4.2 inches. Therefore, the length of side AI is 3.25 inches and the length of side IH is 4.2 inches. If I am wrong please tell me for feedback, I also hoped that this has helped you in your learning :)
Answer:
Step-by-step explanation:
AI is 3.25
IH is 4.2
Area is 23.025
Where is the circumcenter of a right triangle located?
on the hypotenuse
on one of the legs
outside the triangle
inside the triangle
Answer:
on the hypotenuse
Step-by-step explanation:
Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.
A correlation coefficient of -0.85 means:
As one variable increases in value the other variable decreases in value
No relationship between the variables
As one variable increases in value the other variable also increase in value
Answer:
do you got an answer key
Step-by-step explanation:
what is natural number example
Answer:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 .........
Step-by-step explanation:
Hope it helps you :))))
have a good day.
Which problem can be solved with 16 divided by one-eighth?
The value of the 16 divided by one-eighth is 48 after simplification of the fraction.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
We have:
16 divided by one-eighth.
Here the option is not given, but we can solve the above expression.
= 16 ÷ (1/8)
= 16×8 (after simplification)
= 48
Thus, the value of the 16 divided by one-eighth is 48 after simplification of the fraction.
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On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls one standard deviation above the mean. Determine the mean of this test.
The mean of this test will be 57.
What is Standard Deviation and Mean?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
The mean can be used to get an overall idea, or picture, of the data set.
Let Mean be 'm'
and standard deviation= [tex]\sigma[/tex]
So, m-2[tex]\sigma[/tex]=49
and, m + [tex]\sigma[/tex]=61
Solving the above two equation we get
[tex]\sigma =4[/tex]
Now, m= 61-[tex]\sigma[/tex]
= 61-4
= 57
So , the mean of this test will be =57
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