Given:
The function is
[tex]f(x)=7x+11[/tex]
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
[tex]f(x)=7x+11[/tex]
It is a linear function, and domain and range of these types of functions are all real numbers.
[tex]Domain:(-\infty,\infty)[/tex]
[tex]Range:(-\infty,\infty)[/tex]
Put x=0 in f(x), to find the y-intercept.
[tex]f(0)=7(0)+11[/tex]
[tex]f(0)=0+11[/tex]
[tex]f(0)=11[/tex]
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
[tex]0=7x+11[/tex]
[tex]0-11=7x[/tex]
[tex]-11=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{-11}{7}=x[/tex]
So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].
Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].
Which expression represents the sum of 31 and 104,
divided by 3?
Answer:
The answer is 45Step-by-step explanation:
Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45
The expression (31 + 104) / 3 is equal to 45.
The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.
To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.
Dividing 135 by 3 yields a result of 45.
Therefore, (31 + 104) / 3 is equal to 45.
The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.
Learn more about expression here
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How do I solve this please help me Im failing Algebra1
-2x+1<7
Answer:
x > -3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
-2x + 1 < 7
Step 2: Solve for x
Subtract 1 on both sides: -2x < 6Divide both sides by -2: x > -3Here we see that any value greater than -3 would work as a solution of x.
Answer:
x>-3
Step-by-step explanation:
First, isolate the variable. So, move the 1 onto the other side.
Because signs change when moved to the other side, + becomes - .
Then, subtracte. 7-1=6.
DIvide both sides by -2.
-2x/-2 is x, and 6/-2 is -3.
So, x>-3
-3 + 4b + 6 = 9+ 4b - 6
O infinitely many solutions
O one solution
Ob=3
no solution
Answer:
Infinitely many solutions
Step-by-step explanation:
-3 +4b+6=9+4b-6
subtract 4b on both sides( canceling equal terms on both sides)
calculate the sum:
-3+6=9-6
-3+6= 3
9-6=3
3=3
Just number 4 plz help
Answer:
They are similar
Step-by-step explanation:
the rectangle have the same proportions
the sides of the big one are 4:6 and the small one is 2:3
they both simplify to 2:3 so that means they have the same proportions which means they are similar
Cindy tutors for $20 per hour and gets a $5 tip.
Part A
Which of the following functions represent this situation, if E is Cindy’s total earnings and h is the number of hours she works?
a
E(h) = 20h + 5
b
E(h) = 5h + 20
c
E(h) = 25h
d
E(h) = 20h
Answer:
I think it is b hopes this helps.
if i have 2 cookies but share 1/2 with my friends how many coookise i shared
Answer:
1 cookie
Step-by-step explanation:
2 times 1/2=1
How this works: Since your sharing 1/2, you technically sharing one half of 2 cookies. One half of 2 cookies is 1 cookie.
Answer:
1 coookise
Step-by-step explanation:
1/2 of 2 is 1
Use quadratic formula to solve 16+8x+x^2=0
Answer: x=-4
Step-by-step explanation:
Which graph represents the equation y = 2x + 1?
Answer:
B, the second one.
Step-by-step explanation:
Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1, so you would use rise over run to find the correct answer choice.
Answer:
B the second one
Step-by-step explanation:
I got right trust me frfr
help me i need this rn
Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register
#1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash
receipts for Saturday?
Answer:
I gotten 17,686.98
Step-by-step explanation:
Hope that helps :)
Help me please!!!!!!!!!!
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
What would the slope for this graph be?
Answer:
3/1
Step-by-step explanation:
you just start at the point where the line intersects the corner
Given f(x) = 3x – 2, find f(-5).
Step-by-step explanation:
put -5 into x
then
3*-5 is -15 (-2)
-17 is your answer
The Antique Auto News charges $39.00 for a three-line classified ad. Each additional line costs
$7.50. If you want to place a photo in the ad, it costs and extra $32.00. How much would a four-line ad
with a photo cost?
Answer:
add 39 and 7.50 then add 32
Step-by-step explanation:
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
What’s the answer????
Answer:
It's so dark! There are some words I can't see.
5y= 1/2x -10 find slope and y intercept.
Answer:
Slope = 1/10
Y intercept = -2
Step-by-step explanation:
5y = 1/2x - 10
Divide both sides by 5
5y/5 = 1/2x - 10 /5
You will get y = 1/0x - 2
The x part is the slope and the whole number on the far right is the y intercept.
So the slope is 1/10
The y intercept = -2
What the slope of (19, -12) (5, 16)
Answer:
-1/2
Step-by-step explanation:
Slope is ∆y/∆x
i.e y2-y1/x2-x1
16-(-12)/(5-19)
28/-14
s = -2
This toy barn has floor dimensions of 2 in. by 3 in. The height of the roof is 0.5 in. If the volume of the barn is 16.5 in.3, what is the height of the rectangular prism section of the toy barn?
2 inches
2.5 inches
3 inches
3.5 inches
Answer:
2.5 inches
Step-by-step explanation:
woot
Answer:
2.5
Step-by-step explanation:
could someone help me with this math question? its operations with scientific notations
Answer: 16312.5
Step-by-step explanation:
That took a lot of time. There you go.
Answer:
163125
Step-by-step explanation:
Divide the numbers then divide the exponents. Put them back together once done.
[tex]\frac{5.22}{3.2} = 1.63125[/tex]
[tex]\frac{10^{9}}{10^{4}} =10^{5}[/tex]
To get 163125, I moved the decimal point 5 places to the right since the exponent is 5.
[tex]1.63125*10^{5}=163125[/tex]
A package of 5 pairs of insulated gloves cost $39.45 what is the unit price of the pairs of gloves
Answer:
$7.89
Step-by-step explanation:
divide the cost by the amount
write a linear function f with the values f(2)=4 and f(-7)=9
Which inequality does the graph represent?
A. y −x − 3
B. y > −x − 3
C. y ≤ −x − 3
D. y ≥ −x − 3
Answer:
y > −x − 3
Step-by-step explanation:
What is equivalent to 3x – 2y = 4?
Answer:
This equation is equal to y=3/2x-2
Step-by-step explanation:
Write the following number in
scientific notation.
653,000
Answer:
6.53 X 10^5
Step-by-step explanation:
Answer:6.53 x 10*5
Step-by-step explanation:i don’t know how to show 5 as a small number but it’s an exponent
Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)
Answer:
f(-2) = -4x + 6
Step-by-step explanation:
f(x) = 2x + 6
f(-2) = -2(2x) + 6
f(-2) = -4x + 6
Answer:
f(- 2) = 2
Step-by-step explanation:
To evaluate f(- 2), substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2
There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?
Answer:
40%
Step-by-step explanation:
Number of girls = 7
Number of boys = 13
Total students = 7 girls + 13 boys
= 20 students
Running club
Number of girls = 5
Number of boys = 3
Total students in the running club = 5 girls + 3 boys
= 8 students
percentage of the students that are in the Running club = Total students in the running club / Total students
× 100
= 8/20 × 100
= 0.4 × 100
= 40%
Percentage of the students
at this Private School are in the Running club is 40%
write the ratio in the simplest form
Answer:
what's the ratio?
Step-by-step explanation:
Answer:
whats the ratio
Step-by-step explanation:
What is a one-hundred sided polygon called? Why?
Hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.
Step-by-step explanation: