What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
If f (x ) = 3x , what is f (-2) and f (2)?
Answer:
b. -6 and 6
Step-by-step explanation:
Answer:
B. -6 and 6.
Step-by-step explanation:
It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!
f=6 and p = 2
3f – 9p + 8 + f
Answer:
14
Step-by-step explanation:
18-18+8+6
0+14
14
hope this helped!
Answer:
Step-by-step explanation:
F = 6
P = 2
Then:
3.(6) - 9.(2) + 8 + 6
18 - 18 + 8 + 6
8 + 6
14
;D
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
Answer:
50 girls
Step-by-step explanation:
Given data
We have the ratio as
7:10
The total part = 7+10= 17
let the number of boys and girls be x
applying the part to all method
7/17= 35/x
cross multiply
7x= 35*17
7x=595
x=595/7
x= 85
Hence the number of girls is
=85-35
=50 girls
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
please question below i need answer FAST
Answer: 3.5 miles
Step-by-step explanation:
C=2 √πA = 2 x √π x 1 = 3.5
This figure is made up of two rectangular prisms.
What is the volume of the figure?
10 ft 3ft 6ft 12ft 19ft
Tyra can paint a kitchen in 6 hours Jay can paint it in 8 hours. Michelle can paint it in 4 hours. How long would it take to complete the job if they were all working together?
Answer: 16 Hours I think
Step-by-step explanation:
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
-5) and (8,4).
Answer:
(- 1, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
The centre is located at the midpoint of the diameter.
Using the midpoint formula , then
centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )
7. Patty can make 10 purses in 8 hours. Write and solve a proportion to find how many purses can she make
in 28 hours.
Answer:
35
Step-by-step
need help please 9× > 108
Answer:
x > 12
Step-by-step explanation:
9x>108
x> 108/9
x > 12
Answer:
[tex] \boxed{ \tt{x > 12}}[/tex]
Step-by-step explanation:
[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
Manakah bilangan berikut yang bernilai antara 1/3 dan 1/4?
a. 0,34
b. 0,29
c. 0,25
d. 0,22
e. 0,18
CARA DAN PENJELASAN YA PLIS
Step-by-step explanation:
The answer is B and C
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?
Answer:
(-3,-8)
....................................................................................................................................
hope it helped
ILL MARK U BRAINLIEST
i think its 107
Step-by-step explanation:
you multiply 11x7 then 6x5 then you add the answers from those
hi can someone please answer this for me thanks xoxo will mark brainliest
Answer:
1. 3.6 times 10 -4 2. 800;0 the last one is 7.92 times 10 7
Step-by-step explanation:
.
Plane tickets to Chicago usually cost $120. On a travel deal website, you scored a coupon for 35% off. Your budget for the trip allows you to spend a hundred dollars on a ticket; can you go?
Answer: yes it’s 78$
Step-by-step explanation: The difference is 42.00
plz help me on this its really hard :(
Answer:
x = 11
Step-by-step explanation:
Equation:
(5x+1) + (12x-8) = 180
You are doing this because both sides on a straight line add up to 180 degrees. The two angles would add up to 180 degrees since they are on the one side of the line.
Simplifying:
(5x+12x) + (1-8) = 180
Add your common variables together; keep in mind that variables are placed before numbers.
Adding:
17x-7 = 180
Process:
To do this, you are going to simply do the opposite operation for the number without the variable on both sides of the equal sign.
17x - 7 = 180
+ 7 + 7
------------------
17x = 187
----- ------
17 17
x = 11
You divided by 17 on both sides because you needed to get the x variable by itself. Hope this helped! :)
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
https://brainly.com/question/503551
#SPJ4
A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?
Answer:
It should be 1000 miles
Step-by-step explanation:
If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.
Yep pls ASAP
Fifufhucuwhhciw
Answer:
10 2 28
9 3 30
8 4 32
7 5 34
6 6 36
Becky wants to buy a charm bracelet. Summerfield Fine Jewelry charges $10 per charm, plus
$4 for the bracelet. Olsen Jewelers, in contrast, charges $5 per charm and $24 for the
bracelet. If Becky wants to add a certain number of charms to her bracelet, the cost will be
the same at either jewelry shop. What would the total cost of the bracelet be? How many
charms would that be?
0Answer:
0
Step-by-step explanation:
LOLL
A landscape designer is designing a flower garden that is shaped like a parallelogram. The length of the edges of the garden along the house and driveway are 18 ft. and 8 ft. respectively, and the edges come together at an angle of 80°. Draw a diagram, and then find the area of the garden to the nearest square foot.
one ounce of cheddar cheese contains 9 grams of fat. six of the grams of fat are saturated fats. find the ratio of saturated fats to total fat in an ounce of cheese.
Answer:
66%
Step-by-step explanation:
1/3x − 1/3
Factored please help ;)
Answer:
1/3(x-1)
Step-by-step explanation:
1/3x - 1/3
Both terms have a greatest common factor of 1/3
1/3 *x - 1/3 *1
Factor out a 1/3
1/3(x-1)
Number of accounts managed
by each sales manager at Force Inc.
Box plot
30
40
50
60
70
80
90
100
What percent of sales managers at Force Inc, manage fewer than 35 accounts?
Answer:
Step-by-step explanation:
it is 20493
HELP ASAP GIVING BRAINLIEST!!
which equation has infinitely many solutions?
A. 3x - 2=2-3x
B. x+ 3x+6=6+4x
C. 2x+7x-5=-9x+5
D. 4x-5x+3=-5x+4x-3
C
A hexagon ABCDEF is shown.
115°
D
B
145°
Angle CDE is twice the size of angle DEF.
E
Work out the size of angle CDE.
You must show all your working.
160°
F
Total marks: 5
Answer:
since the sum of interior angles of hexagon is 720 °
you add the known angles
ie 115 +90+145+160
you get 510
subtract it from 720
you get 210
divide 210 by 3
you get 70
angle cde is 140
Answer:
∠ CDE = 140°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let ∠ DEF be x then ∠ CDE = 2x
sum the interior angles and equate to 720
160 + 90 + 145 + 115 + 2x + x = 720 , that is
510 + 3x = 720 ( subtract 510 from both sides )
3x = 210 ( divide both sides by 3 )
x = 70
Then
∠ CDE = 2x = 2 × 70 = 140°
Expression #1: (V9)? +5
Expression #2: 3716 – 5
Expression #3: 10 – 14
Expression #4: 4 (12 – 781)
Expression #5: 2 (V49 + 3)
i just need an answer for these it's urgent
Answer:
i dont know im sorry
Step-by-step explanation:
can anyone help me with this
I believe it is just 2/3. Sorry if I am wrong!