Answer:1)vertice 2) interesecting
Step-by-step explanation:
Answer:
852
6×10(6)+7×10(5)+3×10(2)+8×10+2= 852
Step-by-step explanation:
ORDER OF OPERATIONS Will really help you solve this long problem.
Order of operations is PEMDAS.
P-parenthesis
E-exponents
M-multiplication
D-division
A-addition
S-subtraction
6)(10)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=(60)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=360+(7)(10)(5)+(3)(10)(2)+(8)(10)+2
=360+(70)(5)+(3)(10)(2)+(8)(10)+2
=360+350+(3)(10)(2)+(8)(10)+2
=710+(3)(10)(2)+(8)(10)+2
=710+(30)(2)+(8)(10)+2
=710+60+(8)(10)+2
=770+(8)(10)+2
=770+80+2
=850+2
=852
Answer:
x=2 and y=1
Step-by-step explanation:
1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:
-2x-3(6x-11)=-7
2). Then, you distribute the "-3" to all the terms inside the parenthesis.
-2x-18x+33=7
3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.
-2x-18x=-40
4.) Then, you combine all of the terms containing an x.
-20x=-40
5). Finally, you divide both sides by -20 and the outcome is x=2.
6). Hold up...we ain't done yet..
7). Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.
y=6(2)-11
8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.
y= 12-11
9). Do the math...and the answer is y=1.
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
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Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
- a = 78,500
- b = 1.02 = 1 +0.02 = 1 +2%
The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year