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3 years ago

9

A number x is rounded to 3sf the result is 0.458 write down the error interval for x

1 answer:

faltersainse [42]3 years ago

8 0

Answer:

you decude to go put for a walk. You walk 8km to the north in 2 hours, then you walk 3km to the south in 1 houryou decude to go put for a walk. You walk 8km to the north in 2 hours, then you walk 3km to the south in 1 houryou decude to go put for a walk. You walk 8km to the north in 2 hours, then you walk 3km to the south in 1 houryou decude to go put for a walk. You walk 8km to the north in 2 hours, then you walk 3km to the south in 1 hour 6655.22591

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Hi. I need help with these questions.<br> See image for question.<br> Answer 14 and 13

irinina [24]

Answer:

13) 36x² + 9x - 4 = 0

14) 21x² + 20x + 100 = 0

Step-by-step explanation:

13.

<h3>Given</h3>

<u>Quadratic equation</u>

4x² - 3x - 4 = 0
With the roots of α and β

<h3>To Find </h3>

The quadratic equation with roots of 1/(3α) and 1/(3β)

<h3>Solution</h3>

<u>The sum and the product of the roots of the given equation:</u>

α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4
αβ = c/a ⇒ αβ = -4/4 = - 1

<u>New equation is:</u>

(x - 1/(3α))(x - 1/(3β)) = 0
x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0
x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0
x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0
x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0
x² + 1/4x - 1/9 = 0
36x² + 9x - 4 = 0

===================

14.

<h3>Given</h3>

<u>Quadratic equation</u>

3x² +2x + 7 = 0
With the roots of α and β

<h3>To Find </h3>

The quadratic equation with roots of α + 1/β and β + 1/α

<h3>Solution</h3>

<u>The sum and the product of the roots of the given equation:</u>

α + β = -b/a ⇒ α + β = -2/3
αβ = c/a ⇒ αβ = 7/3

<u>New equation is:</u>

(x - (α + 1/β))(x - (β + 1/α)) = 0
x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0
x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0
x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0
x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0
x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0
x² + 20/21x + 100/21 = 0
21x² + 20x + 100 = 0

8 0

3 years ago

Which expression could be substituted for y in the second equation to find the value of x?

EastWind [94]

value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

$2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)$

For putting value of y in second equation, we will find from equation 1

From equation 1:

$2x-y=-10\\-y=-10-2x\\y=10+2x$

Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

Learn more about System of equations at:

#learnwithBrainly

6 0

4 years ago

Is 1,815 a rational number?

rewona [7]

If a number can be represented by a fraction, it is a rational number. So yes, 1815 is a rational number

3 0

3 years ago

Read 2 more answers

ASAP help. <br>help help

nika2105 [10]

Answer:

C

Step-by-step explanation:

add them and to me to close to 1 I might get it wrong cause the question got cut off

5 0

4 years ago

Read 2 more answers

The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and

a_sh-v [17]

Answer:

No, that is not possible

Explanation:

P = 2L + 2W

Insert numbers into equation

p=(2)(20)+(2)(11)

Step 1: Simplify both sides of the equation.

p=(2)(20)+(2)(11)

p=40+22

p=(40+22)(Combine Like Terms)

p=62

p=62

The perimeter is 62, not 64, so the perimeter can't be 64 if the length 20 and the width is 11.

7 0

4 years ago

Read 2 more answers