Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!
Let's solve your equation step-by-step.
<span><span><span><span><span>3m</span>+<span>1m</span></span>−7</span>+<span>3m</span></span>=21
</span>Step 1: Simplify both sides of the equation.
<span><span><span><span><span>3m</span>+<span>1m</span></span>−7</span>+<span>3m</span></span>=21
</span><span>Simplify: (Show steps)
</span><span><span><span>7m</span>−7</span>=21
</span>Step 2: Add 7 to both sides.
<span><span><span><span>7m</span>−7</span>+7</span>=<span>21+7
</span></span><span><span>7m</span>=28
</span>Step 3: Divide both sides by 7.
<span><span><span>7m/</span>7</span>=<span>28/7
</span></span><span>m=4
</span>Answer:<span>m=<span>4</span></span>
Using the Laplace transform to solve the given integral equation f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is 
explanation is given in the image below:
Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.
The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.
Learn more about Laplace transformation here:-brainly.com/question/14487437
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Answer:
food A has fewer calories
Step-by-step explanation:
food b has 250 cal. in 2/3 of a serving and food a has only 150 in 3/4 of a serving, and because it is 3/4 we can know that the last amount of cal. in food a is 50, meaning that with all the calories in the full serving, it has less calories then food b with a fraction of the calories. food a is the answer
The equation of the vertical line is 
Explanation:
It is given that the vertical line passes through the points 
For vertical line, the slope is undefined.
Hence, 
Let us substitute the coordinate in the equation 
, we have,
Simplifying, we have,
where 
and 
Substituting the values of a, b and c in the equation , we have,
Thus, the equation of the vertical line is
