9514 1404 393
Answer:
- straight time: $699.20
- overtime: $165.60
- total pay: $864.80
Step-by-step explanation:
(a) Maria's straight time pay is ...
(38 h)×($18.40 /h) = $699.20
__
(b) Maria's overtime pay is ...
(6 h)×(1.5×$18.40 /h) = $165.60
__
(c) Her total pay is the sum of her straight time pay and her overtime pay:
$699.20 +165.60 = $864.80
Answer:
x = 30
Step-by-step explanation:
in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )
we will first of all open the brackets and then evaluate for the value of x by combining the like terms.
from 6 ( x − 2 ) = 8 ( x − 9 )
6x -12 = 8x -72
combine the like terms
6x - 12 + 72 = 8x
-12 + 72 = 8x -6x
60 = 2x
divide both sides by the coefficient of x which is 2
60/2 = 2x/2
30 = x
x = 30
therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30
Answer: its x = 3
Step-by-step explanation:
The maximum or minimum of a quadratic function occurs at
x
=
−
b
2
a
. If
a
is negative, the maximum value of the function is
f
(
−
b
2
a
)
. If
a
is positive, the minimum value of the function is
f
(
−
b
2
a
)
.
f
min
x
=
a
x
2
+
b
x
+
c
occurs at
x
=
−
b
2
a
Find the value of
x
equal to
−
b
2
a
.
x
=
−
b
2
a
Substitute in the values of
a
and
b
.
x
=
−
−
12
2
(
2
)
Remove parentheses.
x
=
−
−
12
2
(
2
)
Simplify
−
−
12
2
(
2
)
.
Tap for more steps...
x
=
3
The maximum or minimum of a quadratic function occurs at
x
=
−
b
2
a
. If
a
is negative, the maximum value of the function is
f
(
−
b
2
a
)
. If
a
is positive, the minimum value of the function is
f
(
−
b
2
a
)
.
f
min
x
=
a
x
2
+
b
x
+
c
occurs at
x
=
−
b
2
a
Find the value of
x
equal to
−
b
2
a
.
x
=
−
b
2
a
Substitute in the values of
a
and
b
.
x
=
−
−
12
2
(
2
)
Remove parentheses.
x
=
−
−
12
2
(
2
)
Simplify
−
−
12
2
(
2
)
.
Tap for more steps...
x
=
3
F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4
Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
<h3>What is a probability?
</h3>
- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Researching the problem on the internet, it is found that:
- 538 seniors responded with a choice other than college.
- Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.
Hence:
0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
You can learn more about the probability concept at brainly.com/question/26148436
