Answer:
4/20=1/5
Step-by-step explanation:
Given f(x) = log x and g(x) = -x + 1,
which is the graph of (fºg)(x)?
Answer:
(f • g)(x) = log (-x + 1)
Step-by-step explanation:
Here is a composite function
What we simply have to do here is to make a substitution
the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)
This simply mean that we replace every x we find in f(x) with the entire equation of g(x)
we have this as;
f(g(x)) = log (-x + 1)
please help me solve this !
Answer:
12.826 i think
Step-by-step explanation:
find the equation of the line with a slope of 4 that goes through the following point: (6,2)
Answer:
y=4x-22
Step-by-step explanation:
Find the center and the radius of the circle with the equation:
x2 - 2x + y2 + 4y + 1 = 0
Complete the square:
x ^2 - 2x + y ^2 + 4y + 1 = 0
(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4
(x - 1)^2 + (y + 2)^2 = 4 = 2^2
Hence the center is (1, -2) and the radius is 2. (D)
what is the solution set of (-1/3,4)
Answer:
if the solutsion are r1,r2 then the factored form is
y=a(x-r1)(x-r2) where a is a constant
so
r1=-1/3
r2=4
y=a(x-(-1/3))(x-4)
y=a(x+1/3)(x-4)
so it will be
y=a(x+1/3)(x-4)
a is a constant
Step-by-step explanation:
HELP What answer?
A: it shows a positive correlation
B:it show a negative correlation
C: it shows no correlation
D: As speed increases, cost decrease.
Answer:
I think the answer should be A
Answer:
So your answer would be A
Step-by-step explanation:
It is not B since a negative correlation, the only time it will be a negative correlation is if its going the other way or down
It is also not C since there is a correlation, (positive correlation) there would be no dots.
I dont think its D since the speed is increasing but the cost is not decreasing, this would represent a negative correlation.
So your answer would be A since the line is linear, it is mild (the points are not to close but not to far) and its positive since it is going right and up.
Hope this helped :D
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.
Answer:
Step-by-step explanation:
Let's FOIL this out and get it into standard quadratic format:
[tex]h(t)=-4.9t^2+490[/tex]. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.
The requried initial height of the object is 490 meters.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The object is dropped from a height of 49 meters.
We know this because the initial height is given by the first term of the expression in the parentheses, which is 49. When the object is dropped from the helicopter, t is equal to zero. Substituting t=0 into the equation for h gives:
h(0) = (49 + 4.9(0))(10 - 0) = 49(10) = 490
Therefore, the initial height of the object is 490 meters.
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last week of school, please help x
question:
What type of association does the graph show between x and y?
answers:
A. Linear positive association
B. Nonlinear positive association
C. Linear negative association
D. Nonlinear negative association
Answer:
linear positive association is the answer
Jen had 60 fossils. If she put 6 fossils in each box, how many boxes were there?
Answer:
10 boxes
Step-by-step explanation:
Take the number of fossils and divide by the number per box to determine the number of boxes
60/6 = 10
She needs 10 boxes
Answer:
10 boxes
Step-by-step explanation:
60 fossils are evenly distirbutd into x number of boxes so that there are 6 fossils in each box.
The equation will look like:
[tex]6x=60\\x= 10[/tex]
Hope this helped!
suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo, 555,mega,Young`s town,saba ,blue bay,and century]]and you areonly allowed to diplay 7 canned goods on the shelflist down all the possible combinations?
PLSS!!!! HELP ME WITH THIS I NEED SOLUTION...
The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.
Answer:
Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.
Step-by-step explanation:
The integers are -39 and -38.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given;
The product of two consecutive positive odd integers is 38 less than the square of the greater integer
Now, let the numbers be x and x+
So, the equations will be
x(x+1)-38=(x+1)^2
x^2+x-38=x^2+1+2x
x=-39
x+1=-38
Therefore, the integer numbers will be -39 and -38.
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I will give BRAINLIEST to the correct answer
Answer:
49
Step-by-step explanation:
(3m + 58) + (8m + 155) = 180
11m + 213 =180
11m = -33
m = -3
PCM = 3m + 58 = -9 + 58 = 49
Factories fully x^2+2x=
Answer:
factorise form of
x²+2x = x(x+2)
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
Find the values of x and y in the diagram.
Hope this help!!!
Have a nice day!!!
Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.
If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?
1/12
1/4
3/7
4/9
Answer:
should be 3/7 I think that's right
Which is the standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2?
o (x+3)² = 24(y+4)
o (y+3)^2= 24(x-4)
o (y+3)^2 =-24(x+4)
o (x+3)^2 =-24(y+4)
Answer:
C.
Step-by-step explanation:
i took the test
The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
The vertex of parabola=(-4,-3)
Directrix of x is 2
Now,
The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.
|y + 3| + 6 = |x - 2|
To eliminate the absolute value, we can square both sides of the equation:
(y + 3)² + 12(y + 3) + 36 = (x - 2)²
(x - 2)² = (y + 3)² + 12(y + 3) + 36
x² - 4x + 4 = y² + 6y + 9 + 12y + 36
x² - 4x = y² + 18y + 45
x² - 4x + 4 = y² + 18y + 49
(x - 2)² = (y + 9)²
This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).
(x-2)² = -24(y+9)
Therefore, the equation will be (x+3)² = -24(y+4).
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Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric will they need? (Write your answer as a decimal number!)
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
1.
Line RK
Line TY
Line RU
Line PQ
2. Pick three
- X
- T
- Q
- U
- Y
3. Pick three
- X
- s
- P
- R
- U
- T
4.
Plane QRP
Plane XUY
Plane s
Plane TRY
5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)
6. Round to one decimal point
7-11. Show work if possible plz!
Answer:
the answer is plane try I'm pretty sure it's that.
lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls
Answer:
(y+8)(y+2)
Step-by-step explanation:
y^2 + 10y + 16
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 =10
(y+8)(y+2)
sorry sorry I know I'm asking for a lot of help but I don't know the answer :')
Answer:
See below
Step-by-step explanation:
[tex]x+7\leq2[/tex] or [tex]\frac{x+14}{4}\geq3[/tex]
[tex]x\leq -5[/tex] or [tex]x\geq-2[/tex]
Therefore, on the number line, you would have a closed dot at x=-5 with an arrow going to the left, and then you would have a closed dot at x=-2 with another arrow going to the right.
inductive reasoning or deductive reasoning:
• 17 and 5 are prime numbers, so all odd numbers are prime numbers
Answer:
no
Step-by-step explanation:
Example:
9 is an odd number, but 9 can be divided by 3, so 9 is not a prime number.49 is an odd number, but 49 can be divided by 7, so 49 is not a prime number.What is the length of side YZ?
Answer:
8
Step-by-step explanation:
The bottom angles are equal, so the sides are equal
2x = 5x-12
Subtract 5x from each side
2x-5x= 5x-12-5x
-3x = -12
Divide by -3
x = 4
YZ = 5x-12 = 5(4) -12 = 20-12 =8
Which polynomial is equivalent to (18n^2 - 9n +1) divided by (3n - 1)? Assume the divisor is not equal to zero.
Answer:
6n-1
Step-by-step explanation:
The Equivalent polynomial is 6n-1.
What is polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
We have,
To divide (18n² - 9n+ 1) by (3n-1).
Now, performing the division we get
3n-1 | 18n² - 9n+ 1 | 6n -1
18n² - 6n
_________
-3n + 1
-3n +1
_______
0
Thus, the quotient is 6n -1.
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Solve for in x in
4+3 (2x-4)=28
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
4+3(2x−4)=28
Step 1: Simplify both sides of the equation.
4+3(2x−4)=28
4+(3)(2x)+(3)(−4)=28(Distribute)
4+6x+−12=28
(6x)+(4+−12)=28(Combine Like Terms)
6x+−8=28
6x−8=28
Step 2: Add 8 to both sides.
6x−8+8=28+8
6x=36
Step 3: Divide both sides by 6.
6x
6
=
36
6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]4+3 (2x-4)=28[/tex]
Distribute 3 to the parenthesis:
[tex]4+6x-12=28[/tex]
Add 12 to both sides:
[tex]4+6x-12=28[/tex]
+12 +12
[tex]4+6x=40[/tex]
Subtract 4 from both sides:
[tex]4+6x=40[/tex]
-4 -4
[tex]6x=36[/tex]
Divide both sides by 6
[tex]6x=36[/tex]
/6 /6
[tex]x=6[/tex]
Hope this helps!
please help me oh my lord
Answer:
A
Step-by-step explanation:
help mmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
What help you need from us?????
Answer:
I think the answer is 6
Step-by-step explanation:
but it could also be 5 since its the lowest number. But if its goin based of the amount of data it should be 6
what is the difference between the 5 and 6 in the numeral 759.63
this is the picture to my last question. sorry
Answer:
Step-by-step explanation:
The point A has coordinates (5, 1) so the image of A which is A' has
coordinates (5 - 2, 1+3)
= (3, 4).
B', C' and D' are calculated in the same way.
So B' is (4, 1),
C' = (3, 2) and
D' = (2, 1)
