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
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?
The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
Find out more information about inequality here:
https://brainly.com/question/20383699
#SPJ2
ANSWER QUICKLY WILL GIVE BRAINLIEST
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?
Answer:
1
Step-by-step explanation:
2 divided by 2
Answer:
1 table
Step-by-step explanation:
2 x 0.5 = 1
Hope this helps!
The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.
Answer:
2 days
Step-by-step explanation:
12 - 4 = 8
8/3 = 2.7
Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?
A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5
Answer:
B : y = 0.1x + 5
Step-by-step explanation:
using the y = mx + b equation
b is the intercept on the y axis ( x = 0)
m is the slope of the line.
From the graph we can see that the intercept is (0,5), therefore b = 5;
To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)
m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1
m = 0.1
therefore in y = mx + b
y = 0.1x + 5
does anyone know the answer?
heres the table and graph
Answer: distance 1min = 10in
In 1 minute the snail travels 10 inches
In 2 minute the snail travels 20 inches
In 3 minute the snail travels 30 inches
In 4 minute the snail travels 40 inches
In 5 minute the snail travels 50 inches
y=10x
which of these have a these has a sum of 15/6
35/9 + 35/5 or 15/2 + 15/4 or 3/8 + 34/16 or 2/3 + 1/16
3/8 + 34/16
15/6 can be simplified to 2 1/2
The answer for 3/8 + 34/16 can be simplified to 2 1/2
Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
Pls answer all 4 questions AND HURRY!!!!
Answer:
5pts
Step-by-step explanation:
Please help me, I struggle the most in this class and this is the last question
what is 15/2 into a mixed number
7 1/2.
2 goes into 15 7 times with one left over.
on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores
Explanation:
First add up the scores: 75+70+80+80+85+90 = 480
Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.
help!!!
i will give a brainliest!!
Answer: is 1 and 3
Step-by-step explanation:
The bearing of a point Q from a point P is 048 degree. find the bearing of P from Q.
Answer:
Vector PQ = 48 deg
Vector QP = -PQ = 48 + 180 = 228 deg
Note that 228 is 48 deg below the -x (180) axis
max has x dollars. Keisha has four more dollars then max
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
Which equation gives the line shown on the graph?
Answer:
[tex]y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
so the last option
hope this helps!
Help Plz this is due tomorrow
Write slope-intercept form of a linear equation
(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx
(1,5) and (3,9)
[tex]y = 2x + 3[/tex]
(5,8) and (3,2)
[tex]y = 3x - 7[/tex]
(1,-5) and (0,3)
[tex]y = - 8x + 3[/tex]
First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)Hope this will help:)
Write the unit fraction depicted in the model as a percent.
One-fourth =
Answer:
Step-by-step explanation:
= 1/4*100
= 1*25
= 25%
• Answer is 25%.
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
Find the length of the missing side. Round your answer to the nearest tenth.
Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )
look at screenshot answer question and i will mark you brainliest
Answer:
[tex]y= -3x+9[/tex]
Step-by-step explanation:
We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is
[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.
At this point, it's just a matter of writing the equation in the wanted form:
[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]
Which is the equation you want.
If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]
(a)Find the greatest common factor (GCF) of 16 and 6.
(b)Use the GCF to factor 16 +6.
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).
Step-by-step explanation:
a general line equation is
y = ax + b
the slope of a line is always the factor of x (a).
it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here it is -5/4.
it says, when x changes by +4, then y changes by -5.
a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.
and we get it by using the point coordinates in the equation and then solve for b :
1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b
b = -4
so, the full equation of the parallel line is
y = -5/4x - 4
QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?
Answer:
15 dollars and 40 cents
Step-by-step explanation:
you add the shirt cost to the skirt cost to 3 times the sock cost
After that, you multiply that by 1.07 for the sales tax
then you take 75(her money) and subtract it from your previous answer to get how much she has left
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.