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3 years ago

Select the two values of x that are roots of this equation. 2x - 3 = -5x2

Mathematics

2 answers:

rjkz [21]3 years ago

8 0

Answer
2x and -5x
Because it’s the only 2 numbers that have x’s in them

sukhopar [10]3 years ago

3 0

Answer:

x = -1 or x = $\frac{3}{5}$

Step-by-step explanation:

2x - 3 = -5x²

This is a quadratic form of equation.

We will start by rearranging the equation, we will move all the variable to the left-hand side of the equation, which means the right-hand side of the equation will become zero.

Add 5x² to both-side of the equation

2x - 3 + 5x² = -5x² + 5x²

2x - 3 + 5x² = 0

5x² + 2x -3 = 0

Now we can now proceed to solve;

Find two factors such that it sum will give 5 and its product will give -15

The two numbers are 5 and -3 (That is 5×-3 = -15 and 5 +(-3)=2)

We will replace 2x by 5x and -3x

So that our equation becomes;

5x² + 5x -3x-3 = 0

We will now factorize

( 5x² + 5x) (-3x -3 )= 0

On the first bracket, 5x is common and so it will be factored out and on the second bracket -3 is common and so it will be factored out

5x(x + 1) -3(x + 1) = 0

(x+1)(5x-3) = 0

Either x +1 = 0 ⇒ x = -1

5x - 3 = 0

5x = 3

x = $\frac{3}{5}$

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A car insurance company has determined that 66% of all drivers were involved in a car accident last year. Among the 1010 driver

jenyasd209 [6]

Answer: Our required probability is 0.618.

Step-by-step explanation:

Since we have given that

Probability of all drivers were involved in a car accident last year = 66%

Number of drivers = 10

Number of drivers involved in a car accident = 3

So, probability of drivers involved in car accident is given by

$\dfrac{3}{10}\\\\=0.3$

Probability of getting 3 or more who were involved in a car accident is given by

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

Here,

$P(X=0)=^{10}C_0(0.7)^{10}=0.028\\\\P(X=1)=^{10}C_1(0.7)^9(0.3)=0.121\\\\P(X=2)=^{10}C_2(0.7)^8(0.3)^2=0.233$

So, our equation becomes

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

$P(X\geq 3)=1-0.028-0.121-0.233=0.618$

Hence, our required probability is 0.618.

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3 years ago

Convert 147% to a fraction in simplest form

Leni [432]

Answer:

147/100

Step-by-step explanation:

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3 years ago

(-5y^2-9y-4)-(-2y^2-y+8)

Naddika [18.5K]

Answer:

−3y2−8y−12

Step-by-step explanation:

Let's simplify step-by-step.

−5y2−9y−4−(−2y2−y+8)

Distribute the Negative Sign:

=−5y2−9y−4+−1(−2y2−y+8)

=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)

=−5y2+−9y+−4+2y2+y+−8

Combine Like Terms:

=−5y2+−9y+−4+2y2+y+−8

=(−5y2+2y2)+(−9y+y)+(−4+−8)

=−3y2+−8y+−12

5 0

3 years ago

Read 2 more answers

Write as many equations as possible that could represent the relationship between the ages of the two children in each family de

Daniel [21]

Answer:

Step-by-step explanation:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

4 0

3 years ago

A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probabi

Harlamova29_29 [7]

Answer:

C. Yes,because it is still less likely to have an outcome of drawing a Twix.

Step-by-step explanation:

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3 years ago