Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
Find the y-intercept of the graph
Answer:
The y intercept is zero
Step-by-step explanation:
what is the square root of 72x as a power of 6 / x squared
Answer is : 6 √ 72 x 2 Rewrite 72 x2 as ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.
6 ( 6 x √ 2 ) Multiply 6 by 6 . 36 x √ 2
thank me later
A car is traveling at a rate of 35 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 3 hours? Do not round your answers.
Answer:
126 km/h
378 km
Step-by-step explanation:
To convert m/s into km/h, we multiply it by 3.6.
35 m/s x 3.6 = 126 km/h.
Distance travelled in 3 hours = 126 x 3 km = 378 km.
Help me out please and thank you
Answer:
I got B
75+20+85=180
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
= 3 /2 ± √ 3
Step-by-step explanation:
(can someone give me like 300pts? Please and Thank u) Whats the square root of 5923?
Special Right Triangles
Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
Jada and Alexandra sell spices at the marketplace. They each charge a constant price per kilogram of spices.
Jada has weekly expenses of \$200$200dollar sign, 200. She covers her expenses and makes a profit of \$280$280dollar sign, 280 for selling 808080 kilograms of spices.
The graph of Alexandra's weekly profit (in dollars) as a function of the amount of spices sold (in kilograms) is shown below.
Who has greater weekly expenses?
Answer:
Alexandram has greater weekly expenses
They charge the same price
Step-by-step explanation:
I got this answer for khan academy!
Answer:
Alexandram
They charge the same price
Step-by-step explanation:
Question Number 2 of 40 - Algebra II
A polynomial function has zeros -3 and 4. Which is one of the factors of the polynomial?
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
I need help ASAP! picture below is what I need
Answer:
Evaluating the piecewise function when X =3, we get f(3) = 7
Step-by-step explanation:
Given the following piecewise function
f(x)= { 2x+1; where x > 0
-3 when x ≤ 0
Evaluate the function when X = 3
We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0
We can't use -3, because x ≤ 0, and 3 is not less than 0.
Now, evaluating the function:
[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]
So, Evaluating the piecewise function when X =3, we get f(3) = 7
Basically, the teacher wants a math equation story but I can't think of one.
Answer:
For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped at the store for 2 hours.
Step-by-step explanation:
45°
X
Find the value of x. Write your answer in simplest form. Please help meee so confused
Answer:
7√2
Step-by-step explanation:
i don't feel like explaining
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?
Answer:
0.667
Step-by-step explanation:
Asap , question in pic and only answer if you know your right ,thanks
Answer:
It is D
Step-by-step explanation:
Because I did the work and if you count where the middle is it is 1 to the right and 3 up.
Math homework plz help
Answer:
19
Step-by-step explanation:
38/2=19
Answer:
r = 19
Step-by-step explanation:
2r = 38 (Given)
r = 19 (Divide by 2 on both sides)
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
I can't solve this lol pls help
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
1/3 ( 12 + 3 × 6 ) - 5
Answer:
5
Step-by-step explanation:
Pemdas you do the 3x6 first then add the twelve. you would be at 30 1/3 of that is 10 then you subtract the 5
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year what will the population be in the next 19 years
nandu06 I need help with these word problems, there's 2 btw.
Answer:
thats all hope u got it
Step-by-step explanation:
pls do mark be the brainliest.
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answer
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
Answer:
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
( Did it on college board)
Step-by-step explanation: