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2 years ago

Find the value of m .

Mathematics

1 answer:

kondor19780726 [428]2 years ago

7 0

Step-by-step explanation:

if the 2 matrices are inverse, then their product must be the identity matrix

1 0

0 1

so,

m×3 + 2×-7 = 1

7×3 + 3×-7 = 0

m×-2 + 2×m = 0

7×-2 + 3×m = 1

that means we have to solve only

3m - 14 = 1

3m = 15

m = 5

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More free points just say thanks!

balu736 [363]

Answer:

Thank you

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If f(x)=-3x+3, then f-1(x)=

olganol [36]

Answer: f^{-1}(x) = 3-x/3

Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...

1. y = - 3x + 3 ( add 3x to both sides )

2. 3x + y = 3 ( subtract y from both sides )

3. 3x = 3 - y ( divide both sides by 3 )

4. x = 3-y/3

Change x back into terms of y

f^{-1}(x) = 3-x/3

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3 years ago

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HELP PLEASE! What is the slope of the line shown?

Alja [10]

Answer:

A. -4/11

Step-by-step explanation:

Slope formula: $\frac{y^2 - y^1}{x^2 - x^1 }$

Using the two points substitute the coordinates into this formula

6-2 = 4

4 - 7 = -11

Put 4 over -11 because it is the y value

$-\frac{4}{11}$

7 0

3 years ago

Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel

Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

$\frac{40}{400}=0.10$

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

Apply the probability density function.

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We need to find P(X ≤ 3)

$P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\$

$P(X\leq3) =0.944444369992\approx 0.94$

Hence, the required probability is 0.94

4 0

2 years ago

F(x)= −x^2+10x−6 Find f(−5)

Nina [5.8K]

Answer:

f(-5) = -81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -x² + 10x - 6

f(-5) is x = -5

Step 2: Evaluate

Substitute: f(-5) = -(-5)² + 10(-5) - 6
Exponents: f(-5) = -(25) + 10(-5) - 6
Multiply: f(-5) = -25 - 50 - 6
Subtract: f(-5) = -75 - 6
Subtract: f(-5) = -81

7 0

2 years ago

Find the value of m .​

Find the value of m .