Answer #1- f(x)=0x-4
Answer #2-f(x)=2/3x+4
Answer #3-Undefined
Answer #4-f(x)= -1/5x+2
Function notation means that instead of y=mx+b, your equation will be f(x)=mx+b. F(x) and y are the same thing, and are interchangeable. However, when asking for the equation in function notation, f(x)=mx+b is how the equation is to be written.
F(x)=y
M=slope
X=variable
B=y-intercept
Let’s start with the first image. To find slope, you always use for formula rise/run. Seeing as there is no movement in the graph (values are neither increasing or decreasing), the slope is 0. Let’s add that into the equation.
f(x)=0x+b
Now let’s find b. B is where the line intersects on the y-axis on the graph. Here it is-4. Let’s add that in now.
f(x)=0x-4
Let’s move onto the second image. We see that the line intersects the y-axis at 4. Let’s add that in.
f(x)=mx+4
Now let’s find the slope. We’ll look at points (-6,0) and (0,4) to find the difference going up/down over left/right. This would be 2/3. Let’s add that into the equation
f(x)=2/3x+4
Lets move onto the third image. Much like image 1, there the values here are neither increasing or decreasing. But, this line is vertical, so the slope is undefined. That would be the answer for #3
Let’s finally do number 4. The line intersects at 2, so let’s fill that in for b now.
f(x)=mx+2
The values in the graph are negative, so m will be negative as well. Let’s add that in.
f(x)=-mx+2
Let’s find slope now. Looking at points (0,2) and (10,0), I see that the difference in rise/run is 2/10. This simplifies to 1/5. Let’s add that in
f(x)= -1/5x+2
These are your answers! Hope this helps comment below for more questions :)
Answer: Yes
Step-by-step explanation: So three small jars are 6 grams and 2 large jars is 12 grams. So 6+12=18, which is below 19
Hope this helps and brainliest would be appreciated
Answer:
0.55 would be the decimal form
Step-by-step explanation:
First we want to isolate x from 5x + y = 9 so to do so. We subtract y from both sides.
5x + y - y = 9 - y
Simplify.
5x = 9 - y
Divide both sides by 5.
5x/5 = 9/5 - y/5
Simplify again.
x = 9 - 5/y
Substitute x = 9 - 5/y
So 10 * 9 - 5/y - 7y = -18.
We wanna isolate y so...
10 * 9 - 5/y
Multiply the fractions.
(9 - y) * 10/5
Divide the numbers (10/5 = 2)
2(-y + 9)
Now we want to expand this.
2 * 9 + 2(-y)
Apply the minusplus rule
2 * 9 - 2y
This gives us 18 - 2y
From there we can add the similar elements
-2y - -7y = -9y
18 - 9y = -18
Subtract 18 from both sides.
18 - 9y - 18 = -18 - 18
Simplify again.
-9y = -36
Now divide both sides by -9
-9y/-9 = -36/-9
This gives us y = 4.
For x we just want to substitute 4 into it.
So 9 - 4/5 which is 5/5 which translates to 1.
Therefore y = 4 and x = 1.
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.
X = 82:
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at brainly.com/question/24663213
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