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3 years ago

How many solutions does the system formed by x-y=3 and ay-ax+3a=0 have for a nonzero number a? Explain.

1 answer:

4 0

There's no solution that is nonzero.
x-y=3
x = 3+y

Substitute that to the second equation.
ay-a(3+y)+3a=0
6a=0
a=0

y = x-3

Substitute that to the second equation
a(x-3)-ax+3a=0
0 = 0

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Which equals 23 kilograms?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

To convert kilograms into grams, you need to multiply the number you are converting by 1000.

I hope my answer helpe! :)

4 0

3 years ago

ZA and B are supplementary angles. If mA (x - 9)° and

Verizon [17]

The measurement of ∠B is 168°

Given,

In the question:

Angle A and Angle B are supplementary angles.

If mA (x - 9)° and m/B= (7x + 21)°

To find the measure of ∠B

Now, According to the question;

What are supplementary angles?

Two angles are Supplementary when they add up to 180 degrees.

Now, ∠A+∠B = 180°

So,

⇒(x - 9)˚+(7x + 21)°=180°

=> 8x +12 = 180°

=> 8x = 180° - 12

=> 8x = 168

=> x = 168/8

=> x = 21

For the measure of ∠B :

∠B = (7x + 21)

∠B = 7 x 21 + 21

∠B = 168°

Hence, The measurement of ∠B is 168°

Learn more about Supplementary angles at:

brainly.com/question/13045673

#SPJ1

5 0

1 year ago

A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic

Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are defective?

Solution:

Let the random variable X represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = p = 0.03.

A random sample of n = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable X thus follows a Binomial distribution with parameters n = 10 and p = 0.03.

The probability mass function of X is:

$P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...$

Compute the probability that none of the LED light bulbs are defective as follows:

$P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}$

$=1\times 1\times 0.737424\\=0.737424\\\approx 0.7374$

Thus, the probability that none of the LED light bulbs are defective is 0.7374.

6 0

3 years ago

PLEASE HELP I NEED THIS IS DUE IN AN HOUR!!! 40 POINTS!!!Sherelle and Venita’s grandmother said that one of the bags has a coin

nikdorinn [45]

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

7 0

2 years ago

How many millilitres are they in two and a quater litres

Bess [88]

Mili means 1000 so 1000ml=1 L (ml=milileter, L=liter)
conversion factor
1L/1000ml=1 and
1000ml/1L=1
convert 2 and 1/4 L to ml
2 and 1/4L
try to convert with second conversion thing (1000ml/1L=1)
2 and 1/4L times 1000ml/1L=2000 and 1000/4 ml=2000 and 250 ml=2250 ml

5 0

3 years ago