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3 years ago

Is there a mistake in this equation? if not please let me know!

Mathematics

2 answers:

Drupady [299]3 years ago

6 0

Answer:There is not any mistakes.

Step-by-step explanation:

Juli2301 [7.4K]3 years ago

5 0

Answer:

no mistakes

Step-by-step explanation:

4 * 3^x = 324

Divide each side by 4

4/4 * 3^x = 324/4

3^x = 81

Rewriting 81 as a power of 3

3^x = 3^4

Since the bases are the same, the powers are the same

x=4

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The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa

FrozenT [24]

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

3 0

1 year ago

What would happen if an oasis within a desert reached its carrying capacity for date palms? A. The date palm population size wou

Dmitriy789 [7]

Should be C. ( I need to add more characters so hi )

7 0

2 years ago

HELP PLEASE ALGEBRA 1

mars1129 [50]

Answer: See below. I did the first one as an example

Step-by-step explanation:

to find slope between 2 points use the formula

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

1) (19,-16) ( -7,-15)

the first value in each pair is the x, the 2nd value is the y

19= x1

-7-x2

-16=y1

-15=y2

$m=\frac{-15--16}{-7-19} \\m=\frac{1}{-26} \\m=-\frac{1}{26}$

7 0

2 years ago

Gauss-Jordan Elimination

kogti [31]

(Correct answer choices in boldface)

The total of the three payments comes out to $29000, so

$x+y+z=29000$

"Two times the first installment is $1000 more than the sum of the third installment and three times the second installment" translates to

$2x=1000+z+3y\implies2x-3y-z=1000$

The second and third installments have a 15% interest rate, but there's no interest on the first installment. The total interest owed is $2100, so

$0.15y+0.15z=2100$

In augmented matrix form, this system is equivalent to

$\begin{bmatrix}1&1&1&29000\\2&-3&-1&1000\\0&0.15&0.15&2100\end{bmatrix}$

### Row 2, column 1 ### (not row 1, column 1)

The third equation is equivalent to

$\dfrac1{0.15}(0.15y+0.15z)=\dfrac{2100}{0.15}\iff y+z=14000$

so the third row in the matrix could adjusted to get

$\begin{bmatrix}1&1&1&29000\\2&-3&-1&1000\\0&1&1&14000\end{bmatrix}$

Also, adding the first row to the second gives

$\begin{bmatrix}1&1&1&29000\\3&-2&0&30000\\0&1&1&14000\end{bmatrix}$

### Row 3, column 2 ### (not row 1, column 2)

Subtracting row 3 from row 1 gives

$\begin{bmatrix}1&0&0&15000\\3&-2&0&30000\\0&1&1&14000\end{bmatrix}$

Subtracting 3 times row 1 from row 2 gives

$\begin{bmatrix}1&0&0&15000\\0&-2&0&-15000\\0&1&1&14000\end{bmatrix}$

and multiplying row 2 by -1/2 gives

$\begin{bmatrix}1&0&0&15000\\0&1&0&7500\\0&1&1&14000\end{bmatrix}$

Finally, subtracting row 2 from row 3 gives

$\begin{bmatrix}1&0&0&15000\\0&1&0&7500\\0&0&1&6500\end{bmatrix}$

### Row 2, column 3 ### (not row 3, column 2)

5 0

2 years ago

Please help I need help

Eva8 [605]

Answer:

Step-by-step explanation:

just get everything but the h to the other side

divide by b1 + b2

1/2h = A/b1 + b2

then multiply by 2

h = 2A/b1 + b2

7 0

2 years ago