For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

Answers

Answer 1

Answer: You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations. Oak trees is x and maple trees is y. The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370. In matrix form, that would be $\left[\begin{array}{ccc}3&4\n2&5\end{array}\right]= \left[\begin{array}{ccc}380\n370\n\end{array}\right]$

Answer 2

Answer:

The augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrixas;

$\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$

Hence, the augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

To learn more about the augmented matrix refer;

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Check my answer please? If p varies directly with q, and p = 8 when q = 2, what is the value of p when q = 7?

A.
p = 40

B.
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C.
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D.
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i think that it's c.

Answers

yes you are right it's C

Write the equation of the line fully simplified slope-intercept form.I need help with this so someone please answer this .

Answers

Answer:

y= -x+6

Step-by-step explanation:

The equation format for slope-intercept form is y=mx+c, where m is the slope of the line and c is the y-intercept.

To find the slope, we need to pick two definite points and find the slope from that. The formula to find the slope is 'rise/run'. Rise is the difference between the y-values of the two points, and the run is the difference between the x-values of the two points.

Let's use the points (0,6) and (1,5).

The rise is -1 (5-6=-1) and the run is also 1 (1-0=1). This means that the slope is -1 (-1/1=-1). The slope is negative because the line is 'going downwards'.

So our equation so far is:

y=-x+c

The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.

So our final equation for the line is y= -x+6.

Hope this helped!

The the equation of the line is y= -x+6.

How to solve for the equation of the line

We have to make use the points (0,6) and (1,5).

We have a rise of -1 (5-6=-1)

We also have a run of 1 (1-0=1).

Now we have to find the slope

This is solved as the slope is -1 (-1/1=-1).

The slope is negative Given that we have a line that goes downwards

The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.

Therefore the equation is y= -x+6.

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Which is the best description for the graph? A.The graph is increasing everywhere. B.The graph is decreasing everywhere. C.The graph is increasing, then decreasing. D.The graph is decreasing, then increasing.

Answers

Answer:

B. The graph is decreasing everywhere

Step-by-step explanation:

The parent function of the graph is f(x) = x³, and the child graph is f(x) = -x³.

Even by the look of the graph, not in one place is the graphing increasing; it is all decreasing.

Answer:

Step-by-step explanation:

its decreasing

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Answers

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