Answer:
Step-by-step exExplanation:
Solve:
3
x
2
−
4
x
−
5
=
0
is a quadratic equation in standard form:
a
x
2
+
b
x
+
c
,
where:
a
=
3
,
b
=
−
4
,
c
=
−
5
Quadratic formula
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Plug in the known values.
x
=
−
(
−
4
)
±
√
(
−
4
)
2
−
4
⋅
3
⋅
−
5
2
⋅
3
Simplify.
x
=
4
±
√
76
6
Prime factorize
76
.
x
=
4
±
√
2
2
×
19
6
Apply rule:
√
a
2
=
a
x
=
4
±
2
√
19
6
Simplify.
x
=
2
±
√
19
3
Solutions for
x
.
x
=
2
+
√
19
3
,
2
−
√
19
3
Related questions
How do you know how many solutions
2
x
2
+
5
x
−
7
=
0
has?
What is the Quadratic Formula?
planation:
Answer:
$5.19
Step-by-step explanation:
All you do is divide $25.95 BY 5
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Answer:
The answer is 21 minutes
Step-by-step explanation:
We use the equation Xf = Xo + vt
1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])
2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]
3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]
- Child 1 final position =>

- Child 2 final position =>

4) Sum the equations and equate to 3
5) Substitute the values we already know
6) in 15 + 6 minutes they will be 3miles apart
7) In 21 minutes they will still be able to communicate with one another.
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)

The slope represent the speed of the airplane
so
The linear equation is

Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours