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3 years ago

Compare and order integers 0,13,-13

Mathematics

2 answers:

natima [27]3 years ago

8 0

It should be -13 0 13

Illusion [34]3 years ago

4 0

13 is a positive integer, -13 is a negative integer. 0 is the integer that separates positive and negative numbers.

Every negative integer is less than any positive integer.

So, their order is $-13, 0, 13$

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Find each Quotient

Colt1911 [192]

1) 2
2) 8
3) 3
4) 2
5) 5/8
6) 5/4
7) 7/9
8) 4/7
9) 2/3
10) 14/3
11) 1/2
12) 16/5

8 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Rzqust [24]

Answer:

a = 6 or 9

Step-by-step explanation:

The "a", "b", and "c" of the quadratic formula are the coefficients of a², a, and the constant term in the given equation:

... a = 2, b = -30, c = 108

Then the quadratic formula tells you the solutions are ...

... (-b ± √(b² -4ac))/(2a)

... = (-(-30) ± √((-30)² -4(2)(108)))/(2(2))

... = (30 ± √(900 -864))/4

... = (30 ± √36)/4

... = (30 ± 6)/4 = {24, 36}/4

... = {6, 9}

_____

The <em>a</em> variable should not be confused with the "a" that is used to name the coefficient of the square of the variable in the quadratic formula. If it is too confusing, rewrite one or the other. For example, you could write ...

... The solution to pa² +qa +r = 0 is ... a = (-q ± √(q²-4pr))/(2p)

where p=2, q=-30, r=108 in the given equation.

5 0

3 years ago

Find the value of "k" such that 1/2 is a root of 2x^2+11x=-k

trapecia [35]

The value of k is -6

Step-by-step explanation:

The general form of the quadratic equation is y = ax² + bx + c

The roots of the equation is the values of x when y = 0
ax² + bx + c = 0, is used to find the roots

∵ 2x² + 11x = -k

- Add k to both sides

∴ 2x² + 11x + k = 0

∵ The roots of the quadratic equations is the values of x when y = 0

∵ $\frac{1}{2}$ is a root of the equation

- Substitute x by $\frac{1}{2}$ in the equation above to find k

∵ 2( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) + k = 0

∴ 2( $\frac{1}{4}$ ) + $\frac{11}{2}$ + k = 0

∴ $\frac{1}{2}$ + $\frac{11}{2}$ + k = 0

- Add the like terms

∵ $\frac{1}{2}$ + $\frac{11}{2}$ = $\frac{12}{2}$ = 6

∴ 6 + k = 0

- Subtract 6 from both sides

∴ k = -6

The value of k is -6

Learn more:

You can learn more about the quadratic equations in brainly.com/question/8196933

#LearnwithBrainly

5 0

3 years ago

Jaden and Dani are both travelling by train.

iogann1982 [59]

Average speed for Jaden’s train
= 130 km / (75/60) hours
= 130 km / 1.25 hours
= 104 km/h

Dani’s train travels from 15:15 to 18:30, which is 3 hours and 15 mins.
3 hours and 15 mins = 3.25 hours

Average speed of Dani’s train
= 312 km / 3.25 hours
= 96 km/h

Difference
= 104 - 96
= 8 km/h

4 0

3 years ago

What is the value of the expression?

morpeh [17]

Answer:

B) 0.2

Step-by-step explanation:

1/4 as a decimal 0.25

0.25 x 0.8 = 0.2!

6 0

3 years ago

Read 2 more answers