Answer:
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
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Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex 
.
The vertex form of a quadratic is 
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare to , you should see that 
.
So the vertex (h,k) is (-4,-7).
ANSWER
Find out the what is the range of ink cartridges he can buy and still have enough money left over for the reams of paper.
To proof
let us assume that the number of the ink cartridges buy be x.
As given
Carlos monthly office supply budget is $250.
He needs to buy ink cartridges which cost $40 a piece.
He will need to save at least $50 of his budget for reams of paper.
than the inequality is written in the form
x ≤ 5
the range of the ink cartridges he can buy be 0 ≤ x ≤ 5 when he saves
at least $50 of his budget for reams of paper.
Hence proved
<h3>Rs 624</h3>
Step-by-step explanation:
Here, principl (P) = Rs 5200,
Rate (R) = 4%,
Time (T) = 3yrs
Now,
Interest formula = PRT/100
= 5200*4*3/100
= Rs 624
Amount = Principle + simple Interest
= 5200 + 624
= Rs 5824
<h3>Hope it helps :)</h3>
Answer:
Check Explanation
Step-by-step explanation:
- Write a statement that interprets that prediction interval.
The prediction interval (58.2 kg, 124.6 kg) represents the range of values that the true predicted weight for a height of 185 cm using the regression obtained from the data can actually, possibly take on to a certain level of confidence.
- What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.4 kg?
The prediction interval is better to use instead of just using a predicted weight because in computing the prediction interval, we consider all the factors, biases and significant factors that can introduce uncertainties into the regression used to just find the predicted weight.
So, the prediction interval is more encompassing and has a better chance of containing the true weight that corresponds to the height 185 cm because it incorporates so many things thay can go wrong with the regression into its computation unlike the predicted weight.
- Why is the terminology of prediction interval used instead of confidence interval?
This is because the interval is obtained from the regression results, used in predicting weights, given height.
Confidence interval is used for numerical distributions to estimate the interval of range of values where the true population mean can be found with a certain level of confidence.
Hope this Helps!!!
