Given:
The function are
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
To find:
The value of [tex](f\circ g)(1)[/tex].
Solution:
We have,
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
We need to find the value of [tex](f\circ g)(1)[/tex].
[tex](f\circ g)(1)=f(g(1))[/tex] [tex][\because (f\circ g)(x)=f(g(x))][/tex]
[tex](f\circ g)(1)=f(\sqrt{1})[/tex] [tex][\because g(x)=\sqrt{x}][/tex]
[tex](f\circ g)(1)=f(1)[/tex]
[tex](f\circ g)(1)=(1)^2-1[/tex] [tex][\because f(x)=x^2-1][/tex]
[tex](f\circ g)(1)=1-1[/tex]
[tex](f\circ g)(1)=0[/tex]
The value of [tex](f\circ g)(1)[/tex] is 0.
Therefore, the correct option is A.
Your sister is getting married this summer and she asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.
Find the slope between
the two ordered pairs:
(1,5) and (-2,-7)
Answer:
4
Step-by-step explanation:
Which of the following is the inverse of y=3^x
Give y = 3x - 1, if x decreases by 2, how much does y change ?
1. How long is segment ML ?
Answer:
19
Step-by-step explanation:
KM=4
KN=9
9-4=5
MN=5
NL=14
5+14=19
Please answer please please answer need the answer
50 POINTS Which of these tables represents a linear function?
Answer:
B
Step-by-step explanation:
It has a constant slope, therefore it is a straight line.
Enter the equation that describes the line in slope-intercept form. The points (7, 9) and (2, −9) are on the line y = .
Given:
A line passes through two points (7, 9) and (2, −9).
To find:
The slope intercept form of the line.
Solution:
A line passes through two points (7, 9) and (2, −9), so the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-9=\dfrac{-9-9}{2-7}(x-7)[/tex]
[tex]y-9=\dfrac{-18}{-5}(x-7)[/tex]
[tex]y-9=\dfrac{18}{5}(x-7)[/tex]
Using distributive property, we get
[tex]y-9=\dfrac{18}{5}(x)-\dfrac{126}{5}[/tex]
[tex]y=\dfrac{18}{5}(x)-\dfrac{126}{5}+9[/tex]
[tex]y=\dfrac{18}{5}x+\dfrac{-126+45}{5}[/tex]
[tex]y=\dfrac{18}{5}x-\dfrac{81}{5}[/tex]
Therefore, the slope intercept form of the line is [tex]y=\dfrac{18}{5}x-\dfrac{81}{5}[/tex].
Hiram drove 15 miles in 12 minutes. If he
continues driving at this rate, how many
miles can he drive in 4 hours?
Factor each expression.
8.) 8 + 16=
Answer:
24
Step-by-step explanation:
X= 1/3
y = 3/5
z = 2 1/4
Work out the value of x x y x z
Give your answer as a fraction in its simplest form.
Answer:
3x*y*z
1/3 X 3 = 1/3 X 3/1 = 3
3*y*z
3 *3/5 = 3/1 X 3/5 = 9/5
9/5 * 1/4 = 9/20
9/20
Aiden fell asleep 18% of the way through trip. If Aidan fell asleep after they had traveled 72 miles what was the total length of the trip.
Answer:
the total length of the trip is 400 miles
Step-by-step explanation:
18% = 72 miles
1% = 4 miles
100% = 400 miles
Answer: 406
Step-by-step explanation:
1- divide 18% by 100
2- then, do some more math
3- figure out the answer
The Econo Motel charges 260 for 4 nights. At that rate, how many would 7 nights cost?
Answer:
$455
Step-by-step explanation:
First, find the cost of one night. It is given that it costs $260 for 4 nights. Simply divide 260 with 4:
260/4 = 65
It costs $65 per night.
Next, find the cost for 7 nights. Simply multiply 65 with 7:
65 x 7 = $455
$455 would be the cost for 7 nights.
~
Please help me in math.
The measure of the angle shown is....
Answer:
i think C im not really sure but i hope im correct maybe >.<
Helena is going for a holiday to France. She changes 900 Singapore Dollars (SGD) into Euros (EUR) with no commission charged. The exchange rate between EUR and SGD is:
1 EUR = 1.49 SGD
(a) Calculate the value of 900 SGD in EUR to the nearest whole number.
At the end of Helena’s holiday in France she has 155 EUR. She converts this back to SGD at a bank, which does not charge commission, and receives 227.85 SGD.
(b) Find the exchange rate of this second transaction.
Answer:
a) 900 SGD = 604.03 EUR
b) 1 EUR = 1.47 SGD
Step-by-step explanation:
It is given that:
1 EUR = 1.49 SGD
a) Value of 900 SGD.
1 SGD = [tex]\frac{1}{1.49}[/tex]
900 SGD = [tex]\frac{1}{1.49}*900[/tex] = 604.03 EUR
b) 155 EUR = 227.85 SGD
1 EUR = [tex]\frac{227.85}{155}[/tex]
1 EUR = 1.47 SGD
Thus,
a) 900 SGD = 604.03 EUR
b) 1 EUR = 1.47 SGD
put those numbers from least to greatest : 40.6, 64, 6.4, 0.46
Un tren de carga va a una velocidad constante de 60 km/h y pasa por un túnel de 340 m de largo. ¿Cuánto mide el tren, si es que para cruzar completamente el túnel se demora tres cuartos de minuto?
Answer:
the length would be 410.15m
Step-by-step explanation:
The computation of the length is as follows;
Length = 340m
Let us assume x be train length
Now
the distance traveled by the train is (L + x)
d = L + x
v = 60 km ÷ h
= 16.67 m / s
And,
t = (3 ÷ 4) (60)
= 45s
Now
d = vt
L + x = (16,67) (45)
x = (16,67) (45) - 340m
x = 410.15m
Hence, the length would be 410.15m
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero? –90 –78 –66 –12
Given:
A student has $78 in his checking account.
The student spends $12 on lunch.
To find:
The number that could be combined with the amount left in the account to make zero.
Solution:
We have,
Amount in account = $78
Money spend on lunch = $12
Remaining amount = Amount in account - Money spend on lunch
= $78 - $12
= $66
Remaining amount is $66. So, -66 could be combined with the amount left in the account to make zero.
[tex]66+(-66)=66-66=0[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
brainiest pls
What equation describes the circle that is centered at (8, 3) and has a radius of 9
Answer:
(x-8)²+(y-3)² = 81Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
is y= -2/5 x + 3
y=2/5 x +3 parallel ?
Answer:
No
Step-by-step explanation:
They are intercepting each other
Answer: No, y = -2/5x + 3 and y = 2/5x + 3 are not parallel.
Step-by-step explanation:
Generally speaking, parallel lines are lines that do not intersect. This means that they always have the same slope and different y intercepts, like y = 4x + 3 and y = 4x - 5.
On the other hand, perpendicular lines are lines that intersect at 90° angles. They have inverse slopes, or slopes that are the reciprocals of each other. Inverse slopes should be completely opposite to each other, which means flipping the numerator and the denominator and also changing the sign. One example is y = 2x + 4 and y = -1/2 x + 4.
Back to lines y = -2/5x + 3 and y = 2/5x + 3, they are not parallel because they have different slopes and the same y intercept. They are also not perpendicular because their slopes are not the inverses of each other.
You can also tell if the lines are parallel by inserting them into Desmos and seeing how they look. In this case, the lines intersect, and so once again they are not parallel.
for brainly and points
Answer:18
Step-by-step explanation:
C) 18 is the correct answer.
2m/3 +5=17
or,2m/3 =17-5
or,2m/3 =12.
Now doing criss cross multiplication,
or,3×12=2m×1
or,36=2m
m=18
If you found my answer useful then please mark me brainliest.
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find the total cost to transport 16 tons of sugar.
Answer:
Equation: $3500+$225s=c
To transport 16 tons of sugar the Sugar Sweet Company will need $7100
Step-by-step explanation:
Notes:
$3500 to rent truck
$225 for each ton of sugar
S is sugar in tons
C is total
Truck is a set cost so you leave it alone
Sugar in the truck is $225 each ton in this case its 16 tons
$3500+$225S=C
Plug in: $3500+$225(16)=C
$3500+$3600=C
C=$7100
hello look below please
Answer:The speed stays the same as the car travels a distance of 40 miles in one hour.
Step-by-step explanation:
The meaning of “constant speed” is when the speed of an object remains the same speed, therefore it does not increase nor decrease, it stays at a constant speed.
5. Abdi has 12 shirts, 8 pairs of jeans, and 5 pairs of shoes.
What percent of his clothing is each type? (hint: remember
you need a total first)
Shirts:
Jeans:
Shoes:
Answer:
Shirts = 12/25 = 48%
Jeans = 8/25 = 32%
Shoes = 5/25 = 20%
Step-by-step explanation:
if y=45 and x=75
what is 5x+4y=
Step-by-step explanation:
5x+4y
5×45+4×75
225+300
525
Find the Missing length indicated
Answer:
dhjdhshsbdbdhhdhehthfixudhdjfbhf
ooopsss my baby sissy
5 in.
21 in.
11 in.
what is the area? and what are the steps to do it
What is the coolest hair and eye color combination? Mine is Red hair and blue eyes... That's because I have red hair and blue eyes... My eyes have a gold ring around the pupil tho.
Answer:
Hi how are you doing today Jasmine
can i please have help
Answer:280
Step-by-step explanation:14 x 20 = 280
Answer:
235 cm
Step-by-step explanation:
First, find the area of the whole rectangle (bxh)
14x20=280
Next, find area of the missing piece
5x9=45 ( to find this, 14-9, times 20-11)
Finally, subtract the missing piece from the total rectangle
280-45=235
(GIVING BRAINLIEST!!)
Solve 1/5 ÷ 3
A) 1/7
B) 1/8
C) 1/10
D) 1/15
Answer:
D
Step-by-step explanation:
because 1/5 x 1/3 = 1/15
Answer:
1/15
Step-by-step explanation:
Keep, Change, Flip
(Keep the first fraction as is, change the division sign to multiplication sign, flip the second fraction)
New equation
(1/5*1/3)
Equals 1/15
Hope I helped!!! :)