Answer:
compostion
Step-by-step explanation:
comPOSTION
Given f(x)=x^2 and G(x)=x-1
9514 1404 393
Answer:
g(f(7/3)) = 4 4/9
Step-by-step explanation:
g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9
g(f(7/3)) = 4 4/9
Plss help number is 21952 and 115248
Answer:
Step-by-step explanation:
Bonjour,
2^4 * 7^3 => 16* 343 = 5488
21 952 / 5 488 =4
115 248/5 488 = 21
9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
8 x the zero power of ten
which expression represents the phrase below?
8 less than the product of 6 and a number, x
Answer:
6x-8
Step-by-step explanation:
less than means it comes after
product of 6 and a number x
6x
8 less than
6x-8
HELP PLSSS ANSWER IS D
STEPS PLS
I WILL GIVE BRAINLEST !!!
Answer:
2yz/x
Step-by-step explanation:
Given: z/4=x/y
Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.
Cross multiply:
zy=4x
Divide both sides by x:
zy/x=4
Multiply both sides by 2:
2zy/x=8
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
f(x) = (x + 3)(x − 3)(x − 1)
Step-by-step explanation:
The roots are at -3, -1 and 3 therefore the 3rd option is correct.
Answer:
The answer is D
Step-by-step explanation:
Attatched photo for proof
this is a for real question i need some help
Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
Reason Is Figure B a transformation
or why not?
Answer:
yes it is a dilation
Step-by-step explanation:
a dilation makes the size different but shape the same. as we can see the shape is the same meaning this is a non rigid motion or called a dilation.
The height of a triangle is 5 cm more than its base. The area of the triangle is 52 square centimeters. What is the base of the triangle?
Answer:
the base is 8 cm
Step-by-step explanation:
basically, we need to set up a system of equations.
if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.
1/2bh = 52 and h = b+5
subsitute in the (b+5) for the h in the first equation to get
(1/2)(b)(b+5) = 52
multiply both sides by two to get rid of the 1/2
b)(b+5) = 104
now multiply the bs together!
b^2 + 5b = 104
If you know how to factor, we can make this
b^2 +5b -104 and then
(b+13)(b-8) = 0
solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.
Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.
When you plug in the 13 and 8 into the area equation, you get
(8)(13)(1/2) = 52
52 = 52
so it works!
lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula
[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..
hope that helps! :)
A shirt retails for $22.40. A 10% tax is then applied to the original. What’s the final price after tax?
Answer:
24.64
Method:
You get 10% of the shirt cost, and it on to the 22.40
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1
hope you do not mind expressing this on in English ♂️
The midpoint of AB is (1, 2). The coordinates of A are (-3,6).Find the coordinates of B.
Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,
[tex]x_m=\frac{x_1+x_2}{2}[/tex]
[tex]y_m=\frac{y_1+y_2}{2}[/tex]
We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].
First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,
[tex]x_2=2x_m-x_1[/tex]
[tex]y_2=2y_m-y_1[/tex]
Now insert the data,
[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]
[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]
The coordinates of B are therefore [tex](5,-2)[/tex].
Hope this helps :)
The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).
To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6), use the midpoint formula:
Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that M is the midpoint (1, 2) and A is (-3, 6), we have:
(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)
Solve for x2 and y2:
For x-coordinate:
1 = (-3 + x2) / 2
2 = -3 + x2
x2 = 2 + 3
x2 = 5
For y-coordinate:
2 = (6 + y2) / 2
4 = 6 + y2
y2 = 4 - 6
y2 = -2
To know more about coordinates here
https://brainly.com/question/32836021
#SPJ3
Which property of multiplication is shown?
1 x 2 = 2 x 1
commutative
associative
Submit
Answer associative
Step-by-step explanation:
The HCF of 8 , 12 and 24 is ______
Answer:
the Highest common factor (HCF)of 8,12,24 is 4
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
rufur colou colon uju
Answer:
2/5
Step-by-step explanation:
Use the formula for slope to solve [ y2-y1/x2-x1 ].
7-5/9-4
2/5
Best of Luck!
which of the following is a correct tangent ratio for the figure?
A) tan(76degrees)= 24/8
B) tan (76degrees) = 8/24
C) tan (24degrees)= 76/8
D) tan (8degrees) = 24/76
Answer:
tan 76 = 24/8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 76 = 24/8
y/5+7=9 solve the problem by using addition or subtraction and multiply and divide
Answer:
y=10
Step-by-step explanation:
y/5+7=9
y/5=9-7
y/5=2
y=2*5
y=10
Use the figure to name a plane containing point Z.
20×2×÷
2920w0#
393020×22¥3¥
3i839393
Answer:
if we join the angle Z the it will formed as acute angle
if you like ans hit like
thank you
Select the best answer for the question.
13. What's the sum of 25 and 24?
A. %10
B.1%20
c.
D. 8/20
Answer:
Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answer:
(I got your back pal) Your answer is -41/21
Can you give me a brainlest it would help me a lot
6.8x+9.3 = -9.4+3.4(2-5x)
Answer:
22/12
Step-by-step explanation:
98-8x=14+12(2-5x)
98-8x=14+24-60x
-8x +60x=10-9
52x=88
x=22/13
What is the solution to this system of equations?
-a - 3b + 4c = 3
5a – 8 + 5c = 27
5a – 26 + 60 = 1
Answer:
Here is your answer. Hope this helps you!
Which point in the table does not lie on the same lie on the same line
as the other three points?
1, -1.5
2, 0.5
5, 7.5
6, 8.5
Pls answer fast, I thank u am for seeing this problem!
Answer:
(5,7.5)
Step-by-step explanation:
Hope this helps (:
Helppppp, please!!!!
Answer:
for the mean you have to do formula efx/n other i dont know
X/2-7=9 find answer for x
Answer:
x=-14
Step-by-step explanation:
A number is multiplied by 9 , and that product is added 3. The sum is equal to the product of 3 and 7 . Find the number.
Answer:
The unknown number is 2.
Step-by-step explanation:
Let x represent the unknown number.
It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:
[tex]9x + 3[/tex]
The sum is equal to the product of 3 and 7, or 21. Therefore:
[tex]9x + 3 = 21[/tex]
Solve for x. Subtract 3 from both sides:
[tex]9x = 18[/tex]
And divide both sides by 2. Hence:
[tex]x = 2[/tex]
In conclusion, the unknown number is 2.
least multiple of 2983548
Answer:
it must be 2983548×2............
express the following ratio as fraction and reduce them to their simplest form 200 meters : 1.4 kilometre
Step-by-step explanation:
200m:1.4km
200m:1400m
1:7
The random variable X has the following probability mass function.
X -1 0 2 6 7
P(x) 0.3 0.1 0.3 0.2 0.1
Required:
a. Find the probability P( -1 < X ≤ 2) = ______
b. Find the cumulative distribution function F(x) and calculate F(3.2) = _____________
c. E(X) = ___________
d. Var(X) = __________
e. Suppose the number of errors in a piece of software has a Poisson distribution with parameter λ=3. The probability that there are 5 errors in a piece of software is ____.
Given the PMF
[tex]P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}[/tex]
(a)
[tex]P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}[/tex]
(b) The CDF is defined as [tex]F_X(x) = P(X \le x)[/tex], so that
[tex]F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}[/tex]
It follows that
[tex]F(3.2) = \boxed{0.7}[/tex]
(c) Expectation is defined as
[tex]E[X] = \displaystyle \sum_x x\,P(X=x)[/tex]
We have
[tex]E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}[/tex]
(d) First compute the second moment of X, which is defined as
[tex]E[X^2] = \displaystyle \sum_x x^2\,P(X=x)[/tex]
We get
[tex]E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6[/tex]
Variance is defined as
[tex]\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2[/tex]
so it follows that
[tex]\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}[/tex]
(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of
[tex]P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}[/tex]
Then
[tex]P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}[/tex]