Answer:
In polynomial function f(x) = 5x² + 2x³ + 4 the leading coefficient is 5.
The leading coefficient of a polynomial is the coefficient of the leading term 5x².
Step-by-step explanation:
Easy, find the equation of the line,
Using y=mx+b form:
(-1,3) m=2
3= 2(-1)+b
3= -2+b
+2 +2
5=b
y=2x+5. This is your equation.
Now, plug in the coordinates:
(-3,2)
2= 2(-3)+5
2= -6+5
2= -1
NO
(0,5)
5= 2(0)+5
5=5
YES
(1,5)
5= 2(1)+5
5= 2+5
5=7
NO
(1,4)
4= 2(1)+5
4= 2+5
4=7
NO.
Thus, B, is your answer.
We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
To learn more about elimination method, here:-
brainly.com/question/13877817
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Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:

Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.