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3 years ago

Jayla bought a table and some chairs at a furniture store.

Mathematics

2 answers:

anzhelika [568]3 years ago

6 0

Answer:

b. She paid $30 for each chair.

ratelena [41]3 years ago

6 0

Answer:

C. She paid $30 for the table.

Step-by-step explanation:

y = 35x+ 30

This is in slope intercept form

y =mx+b

where m is the slope, which tells us the change

and b is the y intercept, which tells us how much the initial value was (when x=0)

Since x is the number of chairs, and letting x=0

y= 0 chairs +30

Since y= cost of the chairs and the table

y= 30, which is the cost of the table since we bought 0 chairs

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Dominic observes the number of birds that come to the feeder each day for a

olchik [2.2K]

I think it would be 55

4 0

2 years ago

Determine

mihalych1998 [28]

Answer:

$=4.+2.$

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector $\vec b$ is a linear combination of $\vec a_1$ and $\vec a_2$ if there are two scalars $x_1, x_2$ such as

$\vec b=x_1\vec a_1+x_2\vec a_2$

In our case, all the vectors are given in $R^3$ but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

$\vec a_1=,\ \vec a2=,\ \vec b=$

We set the equation

$=x_1.+x_2.$

Multiplying both scalars by the vectors

$=+$

Equating each coordinate, we get

$4x_1-4x_2=8$

$5x_1+3x_2=26$

$-4x_1+3x_2=-10$

Adding the first and the third equations:

$-x_2=-2$

$x_2=2$

Replacing in the first equation

$4x_1-4(2)=8$

$4x_1=8+8$

$x_1=4$

We must test if those values make the second equation become an identity

$5(4)+3(2)=20+6=26$

The second equation complies with the values of $x_1$ and $x_2$ , so the solution is

$=4.+2.$

8 0

3 years ago

If the midpoint of two points is (2,5) and one of the endpoints is (6,3), what is the other endpoint?

aleksley [76]

To answer this question, you need to draw out the graph first. By doing so, you will be able to know where the other endpoint is located. (Fig. 1)

Next, count the number from the midpoint to the endpoint to determine the coordinates for the other endpoint. (Fig. 2)
Example: From (2, 5) to (6, 3)
x: 2 to 6 = 4 steps
y: 5 to 3 = 2 steps

From there, you can determine the other endpoint like this.
Example: From (2, 5) to the other endpoint
x: 2 to x1 = 4 steps
y: 5 to y1 = 2 steps

Therefore, x1 = -2 and y1 = 7
Other endpoint: (-2, 7)

Sorry for the messy drawing, it is hard to draw without a pen. Haha... hope this helps :)