At the grocery store you brought 3/4 of a pound of red grapes and 7/12 of pound of green grapes

Mathematics

2 answers:

Pepsi [2]2 years ago

8 0

Answer:

$1 \frac{1}{3}$

Step-by-step explanation:

$= \frac{3}{4} + \frac{7}{12} \\ = \frac{9}{12} + \frac{7}{12} \\ = \frac{16}{12} \\ = 1 \frac{4}{12} \\ = 1 \frac{1}{3}$

ad-work [718]2 years ago

4 0

Answer:

you had 1 4/12lbs of grapes

Step-by-step explanation:

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F(x) = 4x f(x) = −x + 5 what is the solution

vagabundo [1.1K]

As function is = 4x
so
4x=-x+5
5x=5
x=1

6 0

3 years ago

Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$