An expression is shown.<br> 95 – 3^4<br> What is the value of the expression?

Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions

forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23 = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0

3 years ago

Factor 16x+40y I don't know how to do this

Marizza181 [45]

Answer:

8(2x + 5y)

Step-by-step explanation:

You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.

4 0

3 years ago

Read 2 more answers

skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.

Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ ${\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]$ }

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = $\left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]$

= $a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right]$ $+b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right]$ $+c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]$

therefore Basis of W is

={ ${\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]$ }

8 0

3 years ago

Tyler baked 702 cookies he sold them in boxes of 18 after selling all of the boxes of cookies for the same amount of each he ear

jenyasd209 [6]

Keywords:

<em>Cookies, boxes, sale, profit, unit cost </em>

For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let $"x"$ be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

$x = \frac {702} {18}\\x = 39$

So, we have Tyler sold 39 boxes of cookies

Now, let $"y"$ be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then: