Answer:
a1 =5/2
r=4
a3=ar^3-1
a3=5/2×4^2
a3=5/2×16
a3=5×8
a3=40
Consider functions f and g.
Which expression is equal to f(x) ⋅ g(x) ?
Answer:
C
x-2 / x+6
Step-by-step explanation:
I did the math
(I am not 100% sure though, so if I am wrong, someone please mention it!)
The function f(x) . g(x) is a composite function, and the value of f(x) . g(x) is (x- 2)/(x + 6)
What is a composite function?A composite function is a function formed by combining multiple independent functions
The functions f(x) and g(x) are given as:
[tex]f(x) = \frac{x + 12}{x^2 + 4x- 12}[/tex]
[tex]g(x) = \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]
The composite function f(x) . g(x) is calculated using:
[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]
Expand the functions
[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4(x^2 - 4x+ 4)}{4(x+ 12)}[/tex]
Cancel out the common factors
[tex]f(x) \cdot g(x) =\frac{1}{x^2 + 4x- 12} * \frac{x^2 - 4x+ 4}{1}[/tex]
Further, expand
[tex]f(x) \cdot g(x) =\frac{1}{(x -2)(x + 6)} * \frac{(x - 2)(x - 2)}{1}[/tex]
Cancel the common factors
[tex]f(x) \cdot g(x) =\frac{x- 2}{x + 6}[/tex]
Hence, the value of f(x) . g(x) is (x- 2)/(x + 6)
Read more about composite functions at:
https://brainly.com/question/10687170
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PLEASE HELP NEEDED QUICK
Answer:
[tex]9[/tex]
Step-by-step explanation:
What is the average rate of change of the annual population between 1930 and 1950?
Answer:
the average rate of change is 5000
I need help asap please help
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The absolute value function makes no change to a non-negative argument. Here, the argument (x+3) will be non-negative when ...
x + 3 ≥ 0
x ≥ -3 . . . . . . condition for the first line
__
When the argument is negative, the absolute value function multiplies it by -1. So the function on the second line is ...
-1(x+3) = -x -3
and the condition on the second line is ...
(x +3) < 0
x < -3 . . . . . condition on the second line
need help asap! please!!!!! help
Answer:
102
Step-by-step explanation:
Answer:
answer: red flower: 20 blue flower: 5 yellow flower: 2
Step-by-step explanation:
2 + 20 × 5 = 102 so 102 is the answer hope that helps
plsssssssssssss help
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
none of the others match to the red triangle
A polynomial function has a degree of 8. What is the maximum number of turning points?
Answer:
7
Step-by-step explanation:
To find the maximum number of turning points of any polynomial function, subtract one from the degree.
Since the degree is 8, subtract 1 from this:
8 - 1
= 7
So, the maximum number of turning points is 7.
PLEASE HELP
Write the number in standard form:
6.7 × 10^9
Answer:
6700000000
Step-by-step explanation:
6.7×10^9
(67×10^-1) × (10^9)
(67×)^-1+9
67^8
6700000000
which number line shows the soulution
Answer:
The answer is C.
If someone watching at movie that was 2 hours and 35 minutes long and finished watching at 5:30pm .What time did the movie began
Answer: 2:55 PM
Step-by-step explanation:
Given
The length of the movie is 2 hour and 35 minutes
If the movie is finished at 5:30 PM
First, subtract 2 hours from the finishing time i.e.
[tex]=5:30\ \text{PM}-2\ \text{hr}\\=3:30\ \text{PM}[/tex]
Now, subtract 35 minutes into two parts i.e. 30 min and 5 min from 3:30 PM
[tex]=3:30\ \text{PM}-30\ \text{min}\\=3:00\ \text{PM}[/tex]
remaining 5 min
[tex]=3:00\ \text{PM}-05\ \text{min}\\=2:55\ \text{PM}[/tex]
Thus, the starting time is 2:55 PM
Find the length of the third side. If necessary, round to the nearest tenth. 5 and 9
Answer:
is it a right triangle?
Step-by-step explanation:
Answer:
1. Is it a right triangle?
2. Are you looking for the hypotenuse?
Step-by-step explanation:
HOLA, I'm being timed :)
Find the value of c that makes x2 + 10x + c a perfect square trinomial
a. –25
b. 10
c. –5
d. 25
thank you <3
Hello! i need help finding the value of x could somebody help?
Answer:
lkrkfkfkfnfnfnfnfnf
Si consideras como base uno de los rectángulos de dimensiones de 5cm y 3cm ¿cuanto mide la altura de ese prisma?
Respuesta:
h = V / 15
Explicación paso a paso:
El volumen de un prisma rectangular se calcula usando la relación:
Largo ancho alto
Donde, largo y ancho son la dimensión de la base
Por eso,
Volumen = Base * altura
Volumen = (5 cm * 3 cm) * altura
De la pregunta, no se da el volumen, por lo tanto, tomamos el volumen como V en otro para calcular la altura, h
V = 15h
Divide ambos lados entre 15
V / 15 = 15h / 15
V / 15 = h
plzz help...
Which of the following statements is true? A Diameter x pi= circumference B. Circumference x pi= diameter c. Diameter pi= circumference D. Diameter x circumference = pi
Answer: A Diameter x pi= circumference
Step-by-step explanation:
The circumference of a circle is given as:
= 2πr
where,
π = pi = 3.14
r = radius
Note that diameter = 2 × radius.
Therefore, circumference = 2πr = πd
Therefore, circumference will be pi multiplied by diameter. The correct option is A.
The correct statement is:
A. Diameter x pi = circumference
Find sin j? Please I don’t understand
=========================================================
Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
Write 1 2/11 as a decimal
Answer: 1.18. 18 is repeated.
Explanation is below.
i need help with negative poimts
Answer:
What part do you need help with? Is there a specific problem?
Step-by-step explanation:
Which of the following is equivalent to 3x - 4y = 6?
y=7
1 x
v==
y
V = 3*+2
v
y= *-2
Answer:
the answer is option D
y =(3/4)x - (3/2)
0.4567304 x 2.5678093 = ?
Answer:
1.17279656871
Step-by-step explanation:
Answer:
1.72796569
Step-by-step explanation:
0.4567304 x 2.5678093 = 1.72796569
choose what of the of are a rectangle choose all the answers !!!!!!
Answer:
...
Step-by-step explanation:
bottom left and the square and the parallelogram(top right)
A parallelogram is a rectangle.
Answer:
I think the answers are the bottom two.
Step-by-step explanation:
The first one I believe is a trapezoid, the second is a rhombus .
Sometimes a square is considered a rectangle.
Hope this helped.
Sorry if I am wrong.
WILL MARK BRAINLIEST
A certain restaurant sells cups of coffee for $2 and donuts for $1.50. If the restaurant sold a total of 80 items and earned $141.50, how many donuts did the restaurant sell?
Answer: 37 donuts
Step-by-step explanation:
coffee for 2,
donuts for 1.5
c = coffee
d = donuts
lets make an equation
c*2 + (80-c)*1.5 = 141.5
from this we get:
c= 43.
if c = 43, then d is 80-43 = 37.
they sold 43 coffees, and 37 donuts.
lets check the math
43*2+37*1.5 = 141.5. math checks out
mark me brainlist
Solve Andre’s inequality 3x+10≤31
h ≥ 7
h ≤ 7
h < 7
Answer:
It is h ≤ 7
Step-by-step explanation:
Width = 1 ft; height = 20 ft ; length = 5ft
Does anyone know the volume
Need now!
Answer:
100 cm 3
Step-by-step explanation:
20 x 1 = 20
20 x 5 = 100 cm 3
100 cm 3 is the volume
Y=-3x+4
Find x please
hope it helps
stay safe healthy and happy.Answer:
x=-1/3y+4/3
Step-by-step explanation:
-3x+4=y
-3x+4+-4=y+-4
-3x=y-4
-3x/-3=y-4/-3
x=-1/3y+4/3
One side of right angled triangle is 10 cm the other are both of length x ,calculate x to 2 decimal places
As triangle is right angled, we can possibly use the Pythagoras theroam.
By pythgoras theoram;
= H² = B² + P²
= 10² = x² + x²
= 10² = x⁴
=⁴√ 10² = x
= 10²×¼ = x
= 10½ = x
= √10 = x
= 3.16 = x
So the value of x is 3.16 cm
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH= 10cm
B= x cm
P= x cm
__________
H²= B²+P²
10²= x²+x²
=> 100= 2x²
=> √100= 2x
=> 10=2x
=> x=10/2
=> x= 5
Hope This Helps You ❤️In order to help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed. Round to two decimal places.
Answer:
92.99
Step-by-step explanation:
Mean, μ = 122.6
Standard deviation, σ = 18
Recall :
Z = (x - μ) / σ
x = score
The Zscore for the lower 5% = 0.05
Using, invnorm(0.05) = - 1.645
Put Z = - 1.645
-1.645 = (x - 122.6) / 18
-1.645 * 18 = x - 122.6
-29.61 = x - 122.6
-29.61 + 122.6 = x
x = 92.99
Will mark brainliest
Answer:
I think the answer should be Mat A cause it has more space.
n-18=100 can somebody answer
Answer:
n = 118
Step-by-step explanation:
Add 18 to both sides of the equation:
n = 100 + 18n = 100 + 18
Add 100 and 18.
n = 118
NO MAMES WEY QUE TE PASA
Answer:
No se wey
Step-by-step explanation:
Answer:
yo no se que es esa?
Step-by-step explanation:
yo hablo un poco español pero no mucho por eso yo no se que "mames wey" significa