The zero of F -1(x) in F(x) = x + 3 is
-3
0
3
Answer:
The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].
Step-by-step explanation:
The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].
For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].
Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].
By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].
Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].
Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].
Simplify the following:
Please help! Will give brainliest if the answer is correct!
Answer:
74 + 43[tex]\sqrt{3}[/tex]
Step-by-step explanation:
For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].
To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.
(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60
= 74 + 43[tex]\sqrt{3}[/tex]
how do i do this
i need it now
Answer:
what is the question??
i can answer if i had the question
direct variation
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. if a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
pls help (;ŏ﹏ŏ)
When a force of 270N is applied, the spring stretch by 7.5cm
Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.
Let F represent the force and x represent the extension, hence:
F ∝ x
F = kx; k is the constant of proportionality
When F = 180, x = 5, hence:
180 = 5k
k = 36
F = 36x
When F = 270:
270 = 36x
x = 7.5 cm
When a force of 270N is applied, the spring stretch by 7.5cm
Find out more at: https://brainly.com/question/13977805
Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
Shylan's vegetable garden is florishing. She has 20 plants in her garden which are broken into equal rows. 1/5 of the rows are cucumbers and 40% of the rows are squash. 1/2 of the remaining rows are tomatoes. How many pepper plants does she have?
Answer:
Step-by-step explanation:
Answer:4
Step-by-step explanation:
Help!!!! Jack walked 3 1/3 miles in 4/3 hours. If he walked at a constant rate, how far did he walk in 15 minutes?
Answer: I think the answer is 0.625 miles.
Step-by-step explanation:in the picture
help me asap!!!!!!!!
Answer:
the last option
Step-by-step explanation:
I need help please hurry<343
Answer:
42 inches
Step-by-step explanation:
1. To convert feet into inches, multiply the # of feet by 12.
[tex]3\frac{1}{2}*12[/tex] [tex]\frac{7}{2} *12[/tex] [tex]\frac{84}{2}[/tex] [tex]42[/tex]Therefore, 3 1/2 feet in inches is 42 inches.
Answer:
42 inches
Step-by-step explanation:
3.5 feet x 12 inches = 42 inches
in the adjoining graph the point a is the position of a policeman in the point p is the position of a Thief how far is the thief from the policeman 1 unit is equal length to 20 m
Answer: 5 up and 7 side
Step-by-step explanation:
please help with solving
what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2)
Answer: D. i took the test.. Happy to Help! :)
Step-by-step explanation:
f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
an example of an abelian group which is not cyclic
G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
4.8/(1 7/9)=(1.2b):6 2/3 I will mark as brainliest, i swear
Answer:
b = 15
Step-by-step explanation:
Answer:
b = 15
Step-by-step explanation:
Solve for b:
4.8/ 1 7/9 = 1.2b/6 2/3
Cross multiply:
6 2/3 * 4.8 = 1.2b * 1 7/9
6 * 3 + 2/3 * 4.8 = 1.2b * 9 + 7/9
20/3 * 48/10 = 12b/10 * 16/9
20 * 4 = b * 16/3
5 = b * 1/3
b = 5 * 3
b = 15
The Original Price of a 4ft×4ft Boards is $12.78, but when you buy 10 or more you pay $10.80. You only need 8, 4ft × 4ft Boards Which would be the better deal?
Which of the following are not polynomials?
Answer:
A, B, D
Step-by-step explanation:
A polynomial is a 1 term or a sum of terms.
Each term is a number multiplied by 0 or more variables.
A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.
Answer: A, B, D
jim dog eats 11/3 bones in five days how many bones will the dog eat in 12 days
Answer:
The answer would be 44
Step-by-step explanation:
First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!
What is square 68 in simplest form
Answer:
4624 hope this helps
[tex] \sqrt{2 ^{2} } \times \sqrt{17} [/tex]
4. Simplify the radical expression and get
[tex]2 \sqrt{17} [/tex]
Can someone please help me out?
I know that by using length times width, the first rectangle is equal to 25 in^2 and the second rectangle is equal to 24 in^2. I just don't understand why they can both be right.
Answer:
Minh says that the rectangle on the left in Fig- ure 11.12 is larger than the one on the right, Sequoia says the rectangle on the right is larger than the one on the left. Explain why Minh and Sequoia can both be right. 25 Figure 11.12 Two rectangles. 24
Need help with this tricky image
The hypotenuse of a right triangle is 15 cm. One of the triangles legs is two times the length of the other leg
Step-by-step explanation:
to solve you will use the formula c2=a2+b2 where c2 is always the hypotenuse and a2 and b2 are the rest of the sides. So c2 will be (15)2 and a2 will be (2x)2 while b2 will be represented by x2.Calculate (15)2=(2x)2+x2 You will get 225=4x2+x24x2+x2 will give you 5x2Then you will divide 225 by 5x2 and find the square root of it.√45 is an irritational number since it has no perfect square so you will use the long division method.Your answer will be 6.708The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida. (5 points) 3(f − 36) = 85 1 over 3 f + 36 = 85 Quantity f minus 36 all over 3 equals 85 Quantity f plus 36 all over 3 equals 85
Answer:3 f + 36 = 85 I think, hope this helps
Step-by-step explanation:
17) A golfer made par on 13 of 18 holes. Rounded to the nearest tenth
on what percent of the holes did he make par? *
16%
25.3%
72.2%
73%
Answer:
72.2
Step-by-step explanation:
13/18
A fair die is rolled 10 times, what is the probability to get 4 ones.
Answer:
7/128
Step-by-step explanation:
someone please help with this question for brainliest !!!!:)
Answer:
d)
Step-by-step explanation:
the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.
our r here is -1 to get x + 1.
f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2
the remainder is -2.
and since the remainder is <> 0, the binomial cannot be a factor.
What equation has the solution x=-12.1
Answer:
10 x + 121 =0
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve
Exact Form:
x = -121/10
Decimal Form:
x = -12.1
Mixed Number Form:
x = -12 1/10
So The Equaion For x = -12.1 Is 10 x + 121 =0
Hope I helped :)
helping with this question
Answer:
G. 5
Step-by-step explanation:
I've done this exam beofre
with in the image below, disregarding the scale of the objects, which of the numbered sets of basic shapes are capable building the larger shape shown below? I II III IV Select the single best answer