if f(x) = 3x + 2, what is f(5)?
Answer:
f(x)=3x+2 what is f(5)
f(5)=3(5)+2 = 17
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]f(5)=17[/tex]
»»————- ★ ————-««
Here’s why:
Replace the 'x' with the given value (in this case 5) and solve.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the solution to this system?
x - y = 6
y = 2x - 5
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.
Answer:
[tex]y=120 * 1.1^x[/tex] --- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y=ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 = a * b^0[/tex]
[tex]120 = a * 1[/tex]
[tex]120 = a[/tex]
[tex]a=120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute: [tex]a=120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
So, the function is:
[tex]y=ab^x[/tex]
[tex]y=120 * 1.1^x[/tex]
To calculate the monthly rate (r), we have:
[tex]y =a(1 + r)^x[/tex]
Compare to: [tex]y =ab^x[/tex]
[tex]1 + r = b[/tex]
Make r the subject
[tex]r = b-1[/tex]
Substitute [tex]b = 1.1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
Pls help I don’t know how to do this
Answer:
the answer is D
BECAUSE it satisfied the conditions
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p
Answer:
C (3rd choice)
Step-by-step explanation:
Domain (x-values):
We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.
Range (y-values):
We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.
i need help on this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
Find the inverse of f(x)
Answer:
[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]
which of the following is equivalent to the quotient below
Answer:
B
Step-by-step explanation:
Hope it helps and if you need explanation let it in the comments
Answer:
B
Step-by-step explanation:
Which word describes the slope of the line?
O Positive
O Negative
O Zero
O Undefined
Answer:
Option (1)
Step-by-step explanation:
Slope of a line is defined by the rule,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Here, Rise and Run of the line are positive.
Therefore, sign of the slope of the line will be positive.
Option (1) will be the correct option.
Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.
Answer:
$19.99
Step-by-step explanation:
There are 12 months in a year, so in 2 years, there are 24 months.
Find how much each payment will be by dividing the cost by 24:
479.76/24
= 19.99
So, each payment will be $19.99
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
Solve for f: efg - h = i
Given:
The equation is:
[tex]efg-h=i[/tex]
To find:
The value of f.
Solution:
We have,
[tex]efg-h=i[/tex]
We need to isolate f to find the value of f.
Adding h on both sides, we get
[tex]efg-h+h=i+h[/tex]
[tex]efg=i+h[/tex]
Dividing both sides by [tex]eg[/tex], we get
[tex]\dfrac{efg}{eg}=\dfrac{i+h}{eg}[/tex]
[tex]f=\dfrac{i+h}{eg}[/tex]
Therefore, the value of f is [tex]f=\dfrac{i+h}{eg}[/tex].
answer please? a girl needs help like right now:))
Answer:
No
Step-by-step explanation:
NEED HELP! Will give brainliest!!!
1) 2(x + 7)
2x + 14
2) 8 (x - 3)
8x - 24
3) -4 (y - 6)
-4y + 24
4) -5 (2x + 3)
-10x - 15
Please help!! I'm in summer school and I can't fail
Answer: D, (1,3)
Hope this helped
Answer:
b. (0, 1.5)
Step-by-step explanation:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]
HELPP HELPPP PLEASEEE
the table shows the result of a survey asking 48 students what type if pet they prefer.
if one student in the survey Is selected at random, what is the probability the student will prefer cat or dog?
Answer:
12/5
Step-by-step explanation:
The total number of students divided by the number of students who prefer dogs.
Mathematically:
48/20
=12/5
Therefore, that's the probability
Can 4, 6, and 12 be the measure of the sides of a triangle?
and
Can 6, 15, and 20 be the measure of the sides of a triangle?
Answer:
yes they can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes they can............
HELP
PLSSSSSSSSSSSSSSSSSSSSSS
OH SO LIKE CHESTER WAS A REALLY BAD PERSON.
please help me if you can. please show how you got the answer.
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to
[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
If AC = 28 meters and BC = 21 meters, what is the measure of angle C?*
A
B В
41.41
0 ОО
48.59
none of the other choices
0.99
Ο Ο
36.87
simplified, -14xy − (-3xy) is
Answer:
-11xy
Step-by-step explanation:
-14xy -(-3xy)
multiply the bract first - sign * minus sign is plus sign
-14xy+3xy
since they are like terms u can subtract them.u should subtract them because minus and plus means subtract and we should put minus sign in front of the answer because 14 is the highest number and it's sign is negative .
-11xy
Two complementary angles have measures 4x and x + 50. Find x.
Answer:
x =17
Step-by-step explanation:
Complementary angles add to 90
4x+ x+5 = 90
Combine like terms
5x+5 = 90
Subtract 5 from each side
5x+5-5 = 90-5
5x = 85
Divide by 5
5x/5 = 85/5
x =17
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
Brainliest goes to whoever answers correctly
Answer:
1/9
Step-by-step explanation:
6/9 is 1/9th bigger than 5/9
Answer:
B
Step-by-step explanation:
6/9-5/9=1/9
A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?
Answer:
14
Step-by-step explanation:
the radius is always half the diameter.
but i could be wrong ,beacause im not sure why they gave you the height.
Answer:
Radius is 14 cm
Step-by-step explanation:
To find the radius, you divide the diametre by 2
28 ÷ 2 = 14
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Have a great summer :)
PLSS HELP MEEE I NEED HELP
Answer:
The answer should be A.
Step-by-step explanation:
Which of the following questions is not statistical?
a) How old are the students in my classroom?
b) What is the height of each person in my class?
c) How old am I?
d) How many letters are in the names of each person in my class
Answer:
c.
Step-by-step explanation:
A statistical question has more than 1 answer! hope this helps
Answer:
c) How old am I?
Step-by-step explanation:
This question has only one correct answer that doesn't change, making it non-satistical.
Help please
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)²
Answer:
7
Step-by-step explanation:
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27