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3 years ago

Help I will give brainiest to whoever gets both

Mathematics

2 answers:

Ahat [919]3 years ago

6 0

Answer:

Step-by-step explanation:

the lines intersect at (2,1)

parallel = no solution

rosijanka [135]3 years ago

6 0

Answer:

Both are D

Step-by-step explanation:

Np, although I'm not sure about the second one I'm just pretty sure

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What is the minimum value for g(x)=x2−18x+79? Enter your answer in the box.

iVinArrow [24]

The minimum value is -2

7 0

3 years ago

Please help anyone if you can help thanks

-BARSIC- [3]

Answer:

t=5/10n

Step-by-step explanation:

The question wants to know how much time it takes to run one lap, not how many laps can be run in a certain amount of time.

7 0

3 years ago

If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes

anyanavicka [17]

ANSWER

$x = 2 \: \: or \: \: x = 15$

$x = - 2 \: \: or \: \: x = - 15$

EXPLANATION

The given polynomial is

$f(x) = {x}^{2} + kx + 30$

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

$m + n = - \frac{b}{a} = -k$

and the product of roots is

$mn = \frac{c}{a} = 30$

The square difference of the zeroes is given by the expression.

$( {m - n})^{2} = {(m + n)}^{2} - 4mn$

From the question, this difference is 169.

This implies that:

$( { - k)}^{2} - 4(30) = 169$

${ k}^{2} -120= 169$

$k^{2} = 289$

$k= \pm \sqrt{289}$

$k= \pm17$

We substitute the values of k into the equation and solve for x.

$f(x) = {x}^{2} \pm17x + 30$

$f(x) = (x \pm2)(x \pm 15)$

The zeroes are given by;

$(x \pm2)(x \pm 15) = 0$

$x = \pm2 \: \: or \: \: x = \pm 15$

5 0

3 years ago

A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a

shutvik [7]

Answer:

first option 1/2

Step-by-step explanation:

2,3,5 are the prime numbers from that set

each individual number has a 1 in 6 chance of landing on it and we have 3 so...

3 of 6 possibilities would be prime numbers. Simplify to...

1 in 2

6 0

3 years ago

The reproduction function for a sardine is f(p) = −0.0005p2 + 4p, where p and f(p) are in hundred metric tons. Find the populati

tensa zangetsu [6.8K]

Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

$f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000$

The size of the maximum sustainable yield is:

$f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000$

Population = 4,000 hundred metric tons

Size of the yield = 8,000 hundred metric tons

3 0

3 years ago

Help I will give brainiest to whoever gets both​

Help I will give brainiest to whoever gets both