Answer:
48
Step-by-step explanation:
48 is a multiple of 4 as these are the first multiples of number 4. (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …)
*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
Using limits, the polynomial that has an even degree and a negative leading coefficient is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value.
In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:
![\lim_{x \rightarrow -\infty} f(x) = [tex]\lim_{x \rightarrow -\infty} -a x^n](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Crightarrow%20-%5Cinfty%7D%20f%28x%29%20%3D%20%5Btex%5D%5Clim_%7Bx%20%5Crightarrow%20-%5Cinfty%7D%20-a%20x%5En)
Since n is even, we have that:
Since it goes down to the left and down to the right, hence the function is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
More can be learned about limits at brainly.com/question/26270080
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