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Tju [1.3M]
3 years ago
14

The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa

tion to determine the area of the rectangle
Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

11 Square Units

Step-by-step explanation:

Let A be the area of the Rectangle

First statement: The area of the rectangle is increased by seven, we have :

A+7

Second Statement: Four less than twice the area of the rectangle

Twice the Area=2A

Four less = 2A-4

Therefore:

2A-4=A+7

Collecting like terms

2A-A =7+4

A=11

The area of the rectangle is 11 Square Units.

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Solve the following system of equations. <br> y = 12 - 5x <br> 2x + 3y = 11
Sindrei [870]
Use substitution
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Distributive property
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2 years ago
Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

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Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

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Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

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Answer:

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