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ch4aika [34]
2 years ago
9

The focus of the parabola -40x = y2 is: (-10, 0) (0, -10) (0, 10) (10, 0)

Mathematics
1 answer:
Luda [366]2 years ago
3 0

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of y^2=4ax where the focus is located at (a,0). Therefore, the focus of the parabola is (-10,0).

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what is the probability of drawing two yellow marbles if the first on is NOT place back into the bag before the second draw?
Kruka [31]

Answer:

1/45

Step-by-step explanation:

I assume there are 10 marbles total, 2 of which are yellow.

The probability the first marble is yellow is 2/10.

There's now one less marble, so the probability that the second marble is yellow is 1/9.

The total probability is (2/10) (1/9) = 1/45.

6 0
3 years ago
Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
3 years ago
Carlos has a box of coins that he uses when playing poker
Fofino [41]

Answer:

so far i got 8 quarters 14 dimes and 13 pennies

Step-by-step explanation:

ill update you if i got any closer

6 0
2 years ago
Shawna cuts out a square piece of card stock paper for a project. Her partner Tanisha wants to check to see if the cutout is act
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Reason is that a square has all the aspects of a parallelogram a rectangle and a rhombus. It gets its congruent diagonals from the rectangle which is congruent

6 0
3 years ago
In the general population, one woman in eight will develop breast
MArishka [77]

Answer:

a) 8/10

b) 0.001 \overline{33}

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = 0.001 \overline{33}

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0
3 years ago
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