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3 years ago

Use substitution to solve the following system of equations. -3x + 2y = 5 AND x = 2y - 3

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Step-by-step explanation:

everything can be found in the picture

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If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Hatshy [7]

Answer:

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

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3 years ago

Simplify: square root 108+square root 125-square root 75

navik [9.2K]

Answer:

$11\sqrt{3} + 5\sqrt{5}$

Step-by-step explanation:

$\sqrt{108}+\sqrt{125} - \sqrt75}$

1. $\sqrt{108} = 6\sqrt{3}$ \

2. $\sqrt{125} = 5\sqrt{5}$

3. $\sqrt{75} = 5\sqrt{3}$

4. Add $6\sqrt{3} + 5\sqrt{3} = 11\sqrt{3}$

your left with $11\sqrt{3}+5\sqrt{5}$

7 0

3 years ago

Read 2 more answers

Pre-image ABCD was dilated to produce image A'B'C'D' What is the scale factor from the pre-image to the image?

Greeley [361]

Answer:

The answer is 3/4

Step-by-step explanation:

4 0

3 years ago

Each child is riding on the pony with a saddle. Each saddle has exactly 2 saddle bags on it. Each saddle bag has exactly 3 water

sdas [7]

132 i think idk but if you multiply 22 and 2 it equals 44 so then 44 ×3 equals 132 idk if its right or not

7 0

4 years ago

Read 2 more answers

Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, . T

Vinil7 [7]

Answer:

The appropriate answer is "144".

Step-by-step explanation:

Given:

Population standard deviation,

$\sigma=10.4$

Margin of error,

$E=1.7$

$CL=95$ %

$CL=1-\alpha$

Or,

$\alpha=1-CL$

$=1-0.95$

$=0.05$

Now,

Critical value,

= $Z_{\frac{\alpha}{2} }$

= $Z_{\frac{0.05}{2} }$

= $1.96$

The minimum sample size will be:

⇒ $n=\frac{Z^2_{\frac{\alpha}{2} }(\sigma)^2}{E^2}$

By putting the values, we get

$=\frac{(1.96)^2(10.4)^2}{(1.7)^2}$

$=\frac{415.5074}{2.89}$

$=143.774$

or,

$=144$

3 0

3 years ago