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Vanyuwa [196]
3 years ago
14

3/4 × 3 2/3 in simpliest form

Mathematics
1 answer:
Karolina [17]3 years ago
3 0
\frac{3}{4} \times  2\frac{2}{3} \\ \\  \frac{3}{4} \times  \frac{3 \times 3 + 2}{3} \\ \\  \frac{3}{4} \times  \frac{11}{3} \\ \\  \frac{3 \times 11}{4 \times 3} \\ \\  \frac{33}{12} \\ \\  \frac{11}{4} \\ \\ 2 \frac{3}{4} \\ \\

The final result is: 2 3/4 or 2.75.
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Graph the data in the table. Which kind of function best models the data? Write an equation to model the data. quadratic; y = 2.
Oksanka [162]

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

d_1=y_2-y_1

    =2.5-10=-7.5

d_2=y_3-y_2

    =0-2.5

    = -2.5

d_3=y_4-y_3

    =2.5-0

    = 2.5

d_4=y_5-y_4

    =10.0-2.5

    = 7.5

2nd difference,

x_1=d_2-d_1

    =-2.5+7.5

    = 5

x_2=d_3-d_2

    =2.5+2.5

    = 5

x_3=d_4-d_3

    =7.5-2.5

    = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

8 0
3 years ago
Simplify <br> -4(11+4n)-3(-2n+9)
nignag [31]

Answer:

-71-10n

Step-by-step explanation:

-4(11+4n)-3(-2n+9)

-44-16n+6n-27

-44-27-10n

-71-10n

4 0
3 years ago
What's 1/10 of 4 meters<br>​
raketka [301]

Answer:

2/5

Step-by-step explanation:

1/10 * 4 = 4/10

=2/5

Hope this helps :)

6 0
3 years ago
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HELP ASAP!!!20pts<br><br> 1/3x=−20<br><br> WHAT IS X?
zmey [24]

Answer:

x = -60

Step-by-step explanation:

1/3x=−20

X is 1/3

X times 3 = a full X

Fill it in

X times -20 = -60

Hope this helps :)

7 0
3 years ago
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lesya692 [45]
C:65% Would be the answer i believe you're looking for, hope this helps!
7 0
3 years ago
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