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3 years ago

3 ( 4 y - 5 ) = 69

2 answers:

8 0

First distribute the 3

12y - 15 = 69

Subtract -15 from both sides

12y = 84

y=7

PROOF:

3 (4 *7 - 5)

3 (28-5)

3 (23) = 69

slava [35]3 years ago

6 0

Y= 7 because if you divide both sides by three you get 3(4y -5) ÷ 3 and 69 ÷ 3 and you simplify it you get 4y - 5 = 23 then add 5 to both sides 4y - 5 + 5 = 23 + 5 simplify that you get 4y = 28 divide again but divide both sides by 4
4y ÷ 4 28 ÷ 4 simplify one more time and y = 7!

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The food stand at the zoo sold 2,514 pounds of hamburger last month. The average cost a pound of hamburger $2. Jeremy estimates

sergiy2304 [10]

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3 years ago

5x/x^2-9 + 7/x+3 Simplify

rjkz [21]

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

$\frac{5x}{x^{2} }\\$ - 9 + $\frac{7}{x}$ + 3

Simplify the expression:

$\frac{5}{x}$ - 9 + $\frac{7}{x}$ + 3

Calculate the sum:

$\frac{5}{x}$ - 6 + $\frac{7}{x}$

Write all numerators above the common denominator:

$\frac{5 - 6x + 7}{x}$

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2 years ago

Which vector matrix represents the reflection of the vector <-1,5> across the line x = y

Arturiano [62]

Answer:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

Step-by-step explanation:

We want to reflect this 2x1 vector on the line y = x.

To make this reflection we must use the following matrix:

$R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]$

Where R is known as the reflection matrix on the line x = y

Now perform the product of the vector <-1,5> x R.

$\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]$

The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

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3 years ago

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Answer:

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3 years ago

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liberstina [14]

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3 years ago