Answer:
Gradient: m = 3
Step-by-step explanation:
m = change in y/change in x
m = 
m = 
m = 12/4
m = 3
Answer:
-4 ≤ f (
) ≤ 4
Step-by-step explanation:
The range of a function is the allowed y-values of the function.
We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.
We can say -4 ≤ f () ≤ 4
Last answer choice is right.
*** <u>NOTE:</u> it is a type, not "0", rather ""
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Answer:
_<u>7</u> + 3 = 3 + 7 : commutative property,[if something is added or subtracted]
0 +<u>5</u> _ = 5 is it: identity property.[if 0 is added or subtracted]
2 + (6 + 8) =(2 + 6)+ _<u>8</u> associated property
[if added or multiplied]
Answer:
B. $5039.58
Step-by-step explanation:
compound interest formula: amount = p(1 + \frac{r}{n})^{nt}
p= principal ($2,300)
r= interest rate as a decimal (4% = 0.04)
n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)
t= time in years (20 years)
new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}
That equation equals $2,739.58 which you add to the principal.
$2,739.58 + $2,300 = $5039.58
hope this helps :)
