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3 years ago

If x=3 is a solution of the equation x^2+kx+15=0, find the value of k. Hence find the other solution of the equation

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

X^2 + kx + 15 = 0
3^2 + 3k + 15 = 0
9 + 3k + 15 = 0
24 + 3k = 0
3k = -24
k = -24/ 3
k = -8

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Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest

Len [333]

The annual rate of interest per year is 8%

<u>Solution:</u>

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

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Now using the formula of simple Interest and on putting values we get,

$\text {Simple Interest }=\frac{P \times R \times T}{100}$

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

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Hence, the required rate of interest per year is 8%

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3 years ago

Find the distance between -6 - 8

Viefleur [7K]

Answer:

Number line.

We start at -6 or -8.

If we start from -6, we will be going __ spaces to the left until we get to -8.

Or start from -8 and go __ spaces to the right until you get to -6.

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4 0

3 years ago

Read 2 more answers

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $2; if

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Answer:

E(Y) = $0.5

Var(Y) = 14.25

you should pay the same amount $0.5

Step-by-step explanation:

E(Y) = = Σ(YP)

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Var(Y) = Σ $Y^{2}$ p − (μ x μ)

E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5

Var(Y) = ( $2^{2}\\$ x 0.25) + ( $6^{2}$ x 0.25) +( $-3^{2}$ x 0.5) - ( $0.5^{2}$ )

= 14.5 - 0.25

Var(Y) = 14.25

for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5

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3 years ago

The diagram shows a logo made from 3 circles.

Cloud [144]

Answer:

% area of the shaded region = 33%

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Therefore, area of the shaded region is 33% of the complete logo.

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3 years ago