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jeka57 [31]
3 years ago
9

Simplify the scalar multiplication on the matrix.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

third option

Step-by-step explanation:

Given

3 \left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]

Multiply each element in the matrix by 3

= \left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]

= \left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]  

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Solve the system of linear equations by graphing <br> y=1/3x+5<br> y=2/3x+5<br> What is the solution
Tamiku [17]

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

3 0
2 years ago
3. i) Determine the volume of the cylinder above to the nearest cubic centimetre. (3 points)​
klemol [59]

Answer:

1480cm³

Step-by-step explanation:

The Equation for the Volume of a Cylinder is V=Bh, where B is the area of the circle (A= πr²).

We are given all of the things we need, we just have to plug them into the equation.

First let's find B using the radius(r) which is given to be 6.4cm, so B=πr²

B=π(6.4cm)²

Plug that into a calculator to get 128.6796351cm²

Now we can plug that into the original equation, V=Bh.

V=(128.6796351cm²)h

h is also given to be 11.5cm, so lets plug that in.

V=(128.6796351cm²)(11.5cm)

You will get V=1479.815804cm³, but since we are rounding to the nearest cubic centimeter, we would round up to 1480cm³.

3 0
3 years ago
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. This graph shows this info
Karolina [17]

Answer:

i think it would be 17

Step-by-step explanation:

5 0
2 years ago
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What is the domain of the function shown below?
Lelechka [254]
The domain is B. -8 ≤ x < 3 and 4 ≤ x < 8
5 0
3 years ago
Write the additive inverse of 11/221
KATRIN_1 [288]
<h2>ANSWER</h2>

addective inverse of 11/221 = -11/221

-<em>secret_angel</em>-

7 0
1 year ago
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