Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
edge 2022
hope it helps :)
What is the domain of this function?(9,–2)(6,–10)(–3,9)(5,2)
Answer:
{−9,−5,2,6,10Step-by-step explanation:
Define a variable for the number of cars, and define a variable for the number of vans or trucks. You will need to choose x for one and y for the other.
Answer:
See below!
Step-by-step explanation:
I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!
You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.
For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:
miles=2x
Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.
Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.
For your question, you could use:
#of cars=x
#of trucks/vans=y
Java 1
Question 16
Examine the following code:
int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );
What does this code print on the monitor?
a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3
Answer:
the answer is c.036
Step-by-step explanation:
it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well
AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working
Answer:
n ≥ 8
Step-by-step explanation:
Let R and E stand for the number of cows owned by Richard and Ellis, respectively.
We are told that:
R = n
E = 4n
Then:
R = n+13 [Bought 13 cows]
and
E = 4n-9 [Sold 9 cows]
Still:
E > R [Ellis still has more cows]
Therefore:
4n-9 > n+13
3n > 22
n > 7 1/3
Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number. The least value of n is therefore 8 cows or higher. Since 8 is a valid number, change the > inequality to ≥.
n ≥ 8
Plzzzz help meeeeee plzzzzzzz
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
120
Step-by-step explanation:
To find the answer, multiply 300 with 0.40
To confirm this answer, divide 120 by 0.40
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers
Answer:
Step-by-step explanation:
Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?
FLOORING Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
A I think yup it's A good luck
Step-by-step explanation:
Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³NEED ANSWER QUICKLY PLEASE
What is the distance between 10 and 17 on the number line?
Find the difference:
17 - 10 = 7
So the distance between 10 and 17 is 7 on a number line.
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
this we use in the second
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she worked 14 hours on job A and 9 hours on job B.
The 17th term of an arithmetic sequence is 30, and the common difference is 4. Find the 16th term
30
34
26
24
The 17th term of the arithmetic series would exceed the 16th term by the common difference
17th term = 16th term + 4
Hence the 16th term is 30 - 4 = 26
(4+14) divided by 9 ???????
Answer:
2
Step-by-step explanation:
4+14=18
18/9=2
Factorize: 2ay + 10ax - 3by - 15bx
Answer:
(2a-3b)(y+5x)
Step-by-step explanation:
2ay + 10ax - 3by - 15bx
2a(y+5x)-3b(y+5x)
(2a-3b)(y+5x)
Answer:
(y+5x) (2a - (3b))
Step-by-step explanation:
2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)
2a (y+5x) + 3b (-y - (5x))
(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?
Answer:
19:74
Step-by-step explanation:
74-55=the people sitting on floor=19
19:74
3+1-4+7=?
I need help with this
Answer:
Step-by-step explanation:
first step: 3 + 1 = 4
second step: 4 - 4 = 0
third step: 0 + 7 = 7 (the answer is 7 )
Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
1.25 as a fraction is what
Answer:
5/4
Step-by-step explanation:
Jackie, Maria, and Nadia all live on the same straight road. Jackie marks the location of Maria's home and the location of Nadia's home on a number line, using her own home's location as 0.
She marks Maria's home at −10.7 and Nadia's home at 4.9.
What is the distance between Maria's home and Nadia's home on Jackie's number line?
Enter your answer as a decimal in the box.
Answer:
15.6
Step-by-step explanation:
10.7+4.9=15.6
Answer:
15.6
Step-by-step explanation: I took the test
One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?
Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11
Answer:
It is the second option
[tex]2 \sqrt{11} [/tex]
Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.
a. Toys R Us – 5 cars for $6.25
b. Walmart – 10 cars for $12.64
C. Target-2 cars for $2.76
Which store has the best unit rate?
passes thru (2,-1) with slope of 6
Answer:
y = 6x - 13
Step-by-step explanation:
Desmos guess and check :)
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 , then
y = 6x + c ← is the partial equation
To find c substitute (2, - 1 ) into the partial equation
- 1 = 12 + c ⇒ c = - 1 - 12 = - 13
y = 6x - 13 ← equation of line
Which describes 4x and -7x in this
expression?
4x - 5 - 7x
-
a constants
b. variable terms
c. like terms
d. coefficients
Answer:
B. Variable terms
Step-by-step explanation:
The 4 and -7 both have an x on them. The x is a variable.
I NEED ANSWER ASAPPPP
boy-7/12
girl-5/12...................