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DENIUS [597]
3 years ago
7

What is the expanded form of 397,567

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Expanded Notation Form:

 300,000  

+ 90,000  

+ 7,000  

+ 500  

+ 60  

+ 7  

Expanded Factors Form:

 3 × 100,000  

+ 9 × 10,000  

+ 7 × 1,000  

+ 5 × 100  

+ 6 × 10  

+ 7 × 1  

Expanded Exponential Form:

3 × 105

+ 9 × 104

+ 7 × 103

+ 5 × 102

+ 6 × 101

+ 7 × 100

Word Form:

three hundred ninety-seven thousand five hundred sixty-seven

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The position of an object moving horizontally after t seconds is given by the function s equals 3 t minus t cubed​, for t greate
Anton [14]

Answer:

Step-by-step explanation:

The position of an object moving horizontally after t seconds is given by the function

s = 3t - t³

a) The object is stationary when there is no external force acting on the body. When the body is at rest, the body remains in a position and here is no distance covered by the object i.e s = 0

b) velocity is the change in displacement of a body with respect to time.

v = ds/dt

S = 3t - t³

V = ds/dt = 3-3t²

at t = 2

Velocity = 3-3(2)²

Velocity = 3-12

Velocity = -9m/s

c) acceleration is the change in velocity of a body with respect to time.

acceleration = dv/dt

If v = 3-3t²

a = dv/dt = -6t

When v = 0

0 = 3-3t²

-3 = -3t²

t² = 1

t = ±√1

t = 1sec

The acceleration of the object at v = 0 occurs at t = 1sec and -1sec

a = -6(1)

a = -6m/s²

d) Given the speed of the body v modelled by the function

v = 3-3t²

The speed is decreasing when it is less than zero as shown:

3-3t²< 0

3<3t²

1<t²

±1<t

1<t and -1<t

t>±1

t >1 and t>-1

The speed is decreasing when

3-3t²<0 and t>1 or t>-1

6 0
3 years ago
If (8, -2) is on the graph of F(x), which point must be on the graph of the inverse function F^-1(x)
Monica [59]

If (a, b) is on the graph of f(x), then the point (b, a) must be on the graph of the inverse function f^-1(x).

<h3>Therefore your answer is d. (-2, 8).</h3>
3 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST
kondor19780726 [428]

Answer:

(-2,0) (1,0) (6,0)

Step-by-step explanation:

I used synthetic division which is a lot to explain so I would recommend googling it

6 0
3 years ago
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Write an expression that equals to 100 and only uses the number 3. You can use exponents and parentheses but the exponent must e
Liono4ka [1.6K]
33+33+3^0 = 100
(in case you didnt know the third one is three to the power of 0)
8 0
3 years ago
Solve |5 - 8x| - 7 &lt; 8<br><br>​
sammy [17]
Move all terms not containing
|
5
−
8
x
|
|
5
-
8
x
|
to the right side of the inequality.
Tap for fewer steps...
Add
7
7
to both sides of the inequality.
|
5
−
8
x
|
<
8
+
7
|
5
-
8
x
|
<
8
+
7
Add
8
8
and
7
7
.
|
5
−
8
x
|
<
15
|
5
-
8
x
|
<
15
Remove the absolute value term. This creates a
±
±
on the right side of the inequality because
|
x
|
=
±
x
|
x
|
=
±
x
.
5
−
8
x
<
±
15
5
-
8
x
<
±
15
Set up the positive portion of the
±
±
solution.
5
−
8
x
<
15
5
-
8
x
<
15
Solve the first inequality for
x
x
.
Tap for more steps...
x
>
−
5
4
x
>
-
5
4
Set up the negative portion of the
±
±
solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.
5
−
8
x
>
−
15
5
-
8
x
>
-
15
Solve the second inequality for
x
x
.
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x
<
5
2
x
<
5
2
Set up the intersection.
x
>
−
5
4
x
>
-
5
4
and
x
<
5
2
x
<
5
2
Find the intersection between the sets.
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
The result can be shown in multiple forms.
Inequality Form:
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
Interval Notation:
(
−
5
4
,
5
2
)
(
-
5
4
,
5
2
)

6 0
3 years ago
Read 2 more answers
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