Answer:
f(x) = (1/2)x
Step-by-step explanation:
f(x) = mx + b
m is the slope
b is the y-intercept
m = rise/run
for every run of 2 in x
f(x) rises 1
m = 1/2
The y-intercept occurs when x = 0
from the table f(0) = 0
b = 0
Therefor
f(x) = (1/2)x + 0
f(x) = (1/2)x
Answer:
[tex]f(x) = 1/2*x[/tex]
Step-by-step explanation:
Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.
In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.
-4 / 2 = -2
-2 / 2 = -1
0 / 2 = 0
We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!
f(x) = 1/2 * x
Express y²-16y+k as a perfect square.
Answer:
(y-4)(y+4)
Step-by-step explanation:
When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)
You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
Answer:
You tutor for 4 hours
Step-by-step explanation:
If you count all the boxes, there are 6
12/6 is 2
You have 2 boxes so you do 2*2 which is 4
THE ANSWER IS 4
Answer:
24
Step-by-step explanation:
i added the time frame of you both tutoring ig.
Express each ratio as a fraction in the simplest form:
8dm to 3.2 m and 0.3k to 500 m
Answer:
1/4, 3/5
Step-by-step explanation:
0.8/3.2=8/32=1/4
0.3/0.5=3/5
Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Learn more here:
https://brainly.com/question/25354980
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
CAN SOMEONE HELP ME PLEASE ASAP!
answer is 10,029 ft/h if I'm not wrong
The elephants at the zoo eat 5/6 of a bucket of bananas each day. The zookeeper bought 2 1/2 buckets of bananas. How many days will the bananas last?
Answer:
3 days
Step-by-step explanation:
We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3
Answer:
3 days
Step-by-step explanation:
2 1/2 ÷ 5/6 = 3
Therefore, the bananas will last 3 days.
In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR
Answer:
c. CBA = PQR
Step-by-step explanation:
Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy? NO LINK (please)
Answer:
25 rulers
Step-by-step explanation:
Divide the total money available by the cost per ruler to get the number of rulers.
[tex]19.75/0.79=25[/tex]
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
d ≥ -7 ? (ignore.....................................................................................................................................)
Find the perimeter. Simplify your answer.
it takes minutes to do 7 math problems how long does it take to do 20 math problems
Answer:
can you please explain that a little more
(sin30° + cos30°) – (sin 60° + cos60°)
Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?
Answer:
0.57 or 0.56
Step-by-step explanation:
passenger fares + tax revenue = operating costs
Thus:
passenger fares = operating costs - tax revenue
= $69 million - $30 million
= $39 million
The ratio of passenger fares to total operating costs is:
$39 million
= 0.5652.
$69 million
To the nearest hundredth, the farebox recovery ratio is 0.57.
us
What is the dividend yield on Stock A that sells at
15 $/share, when Company A pays a quarterly
dividend of $0.15 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Fnter
Answer:4
Step-by-step explanation: $0.15 x 4 = 0.6
0.60 divide by 0.15
= 4.
Evaluate the expression for p = 2.4 and q = 8.
Write your answer as a decimal or whole number.
pq =
Answer:19.2
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
pq is the same as p x q.
then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number
Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!
Step-by-step explanation:
maybe you can try to measure each of the ways maybe and you can get the equation
graph:
y=150x+50
y=200+150x
Answer:
y=150x+50
y=200+150x
Step-by-step explanation:
y=150x+50
y=200+150x
sin10°-cos10° product and evaluate
[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]
[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]
sin(90-A)=cosA[tex]\\ \sf\longmapsto cos10-cos10[/tex]
[tex]\\ \sf\longmapsto 0[/tex]
phân tích đa thức thành nhân tử 8x^2+16xy
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sssWhat is the solution of ?
Answer:
of what???????..???..
Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?
The values of a and b from the given complex numbers is 8 and -3 respectively.
The standard form of representing complex number is expressed as z = x + iy
Given the complex numbers z = 8 – 3i, and z2 = a + bi
To get the values of a and b, we need to compare both expressions as shown:
For the real part;
a = 8
For the imaginary part:
-3i = bi
-3 = b
Swap
b = -3
Hence the values of a and b from the given complex numbers is 8 and -3 respectively.
Learn more about complex numbers here: https://brainly.com/question/12375854
haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho
Answer:
Good Luck - You can do it!!!!!!!
Step-by-step explanation:
I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!
Answer:
Sorry about that
Step-by-step explanation:
I hope you finished it all
The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham
Answer:
1˚C
Step-by-step explanation:
First, you take 5 away from 6
5 = 5°C colder than in London
6 = The temperature in London
1ºC. 6 minus 5 equals 1.
and also that is quite easy for high school.
discount is calculated on which price
Answer:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price
instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?
Answer: $2.34
Step-by-step explanation: first add $3.67+$3.67 that equals $7.34
then subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Answer:
$3.67+$3.67=$7.34
Subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.
Answer:
a₃₂ = - 59
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then
[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5
Then
a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59
round 73.03 to the 1 decimal place
Answer:
The answer is 73.0 or just 73