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PSYCHO15rus [73]
3 years ago
10

16x + 9 = 9y − 2x for y

Mathematics
1 answer:
Alik [6]3 years ago
3 0
Let's solve for y.
<span><span><span>16x</span>+9</span>=<span><span>9y</span>−<span>2x</span></span></span>Step 1: Flip the equation.<span><span><span>−<span>2x</span></span>+<span>9y</span></span>=<span><span>16x</span>+9</span></span>Step 2: Add 2x to both sides.<span><span><span><span>−<span>2x</span></span>+<span>9y</span></span>+<span>2x</span></span>=<span><span><span>16x</span>+9</span>+<span>2x</span></span></span><span><span>9y</span>=<span><span>18x</span>+9</span></span>Step 3: Divide both sides by 9.<span><span><span>9y/</span>9</span>=<span><span><span>18x</span>+9/</span>9</span></span><span>y=<span><span>2x</span>+1</span></span><span>
Please mark as brainliest answer
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VladimirAG [237]

Answer:

m<2 = 65

Step-by-step explanation:

The measures of angles 1 and 3 should be added together resulting in 115 degrees, and all triangles equal 180 degrees. Therefore, to find m<2, you have to subtract 115 from 180 resulting in a measure of 65 degrees.

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with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

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4 0
3 years ago
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
mars1129 [50]

Answer:

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

This function has the following derivative, which represents the variation in relation to the previous month.

S'(t) = 0.09t^{2} + t + 9

Find S(2) and S'(2)

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(t) = 0.09t^{2} + t + 9

S'(2) = 0.09*2^{2} + 2 + 9 = 11.36

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

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