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3 years ago

What are the roots of the equation x^2=5x+14 there are 2 of them show your work

Mathematics

1 answer:

fiasKO [112]3 years ago

5 0

Answer:

The solutions are: $x=7$ or $x=-2$ .

Step-by-step explanation:

The given equation is $x^2=5x+14$

We rewrite in the standard quadratic form to obtain;

$x^2-5x-14=0$

We split the middle term with -7,2 because their product is -14 and their sum is -5.

$x^2-7x+2x-14=0$

Factor by grouping;

$x(x-7)+2(x-7)=0$

$(x-7)(x+2)=0$

Either $(x-7)=0$ or $(x+2)=0$ .

Either $x=7$ or $x=-2$ .

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today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan

coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased = 5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

P(x=k) = $\frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}$ .......................1

P(x=2 ) = $\frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}$

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative) .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false) = 0.236842

P(x=2) = 0.2368

4 0

3 years ago

While mining Fred found a large metal bar that contained 24 ounces of nickel. Fred also determined that the bar was 80% nickel.

frutty [35]

Answer:

Not that I'm a chemistry expert but mathematically,The total weight of the bar is directly proportional to the known weight of the bar and the given percentage. I worked it out and found that the the total weight of the bar is 30 ounces. This is how I did it

Step-by-step explanation:

80:24

100:n

80(n)=100×24

A little equation and after it's solve the variable (n) will be equal to 30

The unit is added after calculations so that's how the answer is 30 ounces

8 0

2 years ago

The population of deer in a protected area is 225.

Vinil7 [7]

24% of 225 is 54, so you do 225+54=279 so 279 is the correct answer :)

5 0

3 years ago

3x squared - 2 x y when x=2 and y = 5

ira [324]

the Answer is 4 do order of operations

7 0

3 years ago

Two planes that have a line in common are called

natima [27]

Answer:

they would be intersecting lines

Step-by-step explanation:

brainly crown apricated if I'm right

7 0

3 years ago