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kvv77 [185]
3 years ago
8

The area of a rectangle is 21 in2. The length of the rectangle is 6 in.

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0
Given:
Area = 21 in²
length = 6 in.
width = ?

The area of a rectangle is computed by multiplying its length by its width.

A = l * w
21 in² = 6 in * w

To find width, divide the area by its length.

21in²/6in = w
3.5 in. = w.

The width is 3.5 inches.

to check:

Area = Length * Width
21 in² = 6 in x 3.5 in
21 in² = 21 in²

SIZIF [17.4K]3 years ago
5 0
We are given:

Area = 21 inches²
Length = 6 inches
Width = x inches

We can use this formula to solve for the width:

Area = Length × Width
21 inches² = 6 inches · x inches
21 inches² = 6x inches²
21 = 6x

Now, divide both sides by 6.

21/6 = 6x/6

21/6 = x

x=\frac{21}{6}=\frac{7\times3}{2\times3} = \frac{7}{2} =\boxed{\bf{ 3.5}}

The width is 3.5 inches.
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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities
monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

y=a(b)^x=a(1\pm\frac{r}{100})^x

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}

So,

f(x)=40(1.13)^x

For city B:

\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

h(x)=40+10x

7 0
1 year ago
Help me please if you can
makvit [3.9K]

Answer:

-2

Step-by-step explanation:

Add them up: -14

Divide by how many there are: -14 / 7 = -2

4 0
2 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
What was the ratio of the number of goggles sold to the number of swimsuits sold?
HACTEHA [7]

Answer: Give me the full answer and i will be able to answer it

Step-by-step explanation:

7 0
2 years ago
Part 3. Identify the X intercepts for<br><br>y = (x+4)^2-9​
RSB [31]

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

7 0
3 years ago
Read 2 more answers
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