Answer:
127
Step-by-step explanation:
m<PQR and m<RQS are supplementary angles so their sum is 180
3x - 5 + x + 1 = 180 add like terms
4x - 4 = 180 subtract 4 from both sides
4x = 176 divide both sides by 4
x = 44
m<PQR is 3x - 5 replace x with 44
3*44 - 5 = 127
One batch = 1/4
One whole cup is 4 batches
3/4 a cup is 3 batches
If you add together one and 3/4 you get 7 Batches
For question 9 - It is stating that AE is equal to 38. So the length of the entire line is 38. We then need to look at which figures are actually useful to us, which in this case is AC which is 10. Therefore the answer is as simple as 38-10, which gives us an answer of 28 for the other half of the line, notated as CE.
Answer: 20,000
Step-by-step explanation:
We can estimate the product of 5 and 4,257 by multiplying 5 by 4,000
5 * 4,000 = 20,000
The product of 5 and 4,257 is about 20,000
The real answer (not an estimate)
21,285
That is around 20,000 so we are correct
The difference quotient of the expression will be 4.
<h3>How to find the quotient?</h3>
f(x) = 5 + 5x + 4x²
f(3) = 5 + 5(3) + 4(3)³
= 56
Now [f(x) - f(3)]/(x - 3) will be:
= (4x² + 5x + 5 - 56)/(x - 3)
= (4x² + 5x - 51)/(x - 3)
= (4x² + 17x - 12x - 5)/(x - 3)
= (4x + 17)(x - 3)/(x - 3)
= 4x + 17
The difference quotient will be:
g(x + h) = 4(x + h) + 17
= [g(x + h) - g(x)]/h
= (4x + 4h + 17 - 4x - 17)/h
= 4h/h
= 4
Learn more about quotient on:
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