Answer:
Step-by-step explanation:
A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form
.
If our equation is 
, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.
3/10 > 3/100
You turn 3/10 into 30/100 and 30 is greater than 3
Answer:
22 1/2
Step-by-step explanation:
2/3x=15
x=15/2/3
x=15*3/2
x=45/2
Therefore, x=22 1/2
Answer:
138
Step-by-step explanation:
We know that there are at least 3 short sleeved shirts and there are at least 7 long sleeved shirts. And we know it's in that ratio. So the best way to start this is to divide 460 by 7+3 to get the single unit amount of both shirts.
46 is the single unit amount. So 46 * 3 will get us our short sleeved shirts:
46 * 3 = 138
To check our answer, we'll take 460-138 and divide that by 7 to see if we get 46:
322/7 = 46
So the answer is correct!
Answer:
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
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