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Lyrx [107]
3 years ago
14

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

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The lines shown below are paralel. If the green line has a slope of 5, what is
lutik1710 [3]

Answer:

B

Step-by-step explanation:

Parallel lines have equal slopes, thus

slope of red line = slope of green line = 5 → B

4 0
3 years ago
The sum of two numbers is 24 and their quotient is 5 <br> what are the two numbers
ELEN [110]
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24                         ⇒x=24-y
x/y=5

solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4

x=24-y
x=24-4
x=20

Answer: the numer are: 20 and 4

4 0
3 years ago
American kestrels live in More Mesa near your professor’s house. Suppose that there are 100 birds, of which a random sample of s
Ulleksa [173]

Answer:

P(X=3) = 0.2013

Step-by-step explanation:

After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is

p=\frac{n}{N}

p=\frac{20}{100}=0.20

Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:

Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2

Let, P(X=x)=nCx*p^{x}*(1-p)^{n-x} be the expression of the binomial distribution, for our case we have:

p=0.2

x = 3

n=10

Then,

P(X=3)=10C3*0.2^{3}*0.8^{10-3}

P(X=x)=0.2013

Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%

5 0
3 years ago
What is the first step needed to solve (2/5)x-6=-16
vodka [1.7K]
The first step will be to add 6 on both sides
6 0
3 years ago
Given the associated quantity demanded, Q1, and quantity supplied, Q2, which of the following describes the quantity Q2−Q1?
Annette [7]

Answer:

The answer is A. the surplus resulting from the price floor Pc

Step-by-step explanation:

This is because the imposition of a price floor will not cause a shortage.

6 0
3 years ago
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