All categories

3 years ago

Which statement is true about 68 and 112?

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

You might be interested in

Find all complex solutions of 5x^2+5x+3=0.

oksian1 [2.3K]

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

x = $\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

= $\frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}$

= $\frac{-5+/-\sqrt{25-60} }{10}$

= $\frac{-5+/-\sqrt{-35} }{10}$

= $\frac{-5+/-\sqrt{-1(35)} }{10}$

= $\frac{-5+/-i\sqrt{35} }{10}$

Then

x = $\frac{-5}{10}$ ± $\frac{1}{10}$ i $\sqrt{35}$ , that is

x = - $\frac{1}{2}$ - $\sqrt{x} \frac{1}{10}$ i $\sqrt{35}$ , - $\frac{1}{2}$ + $\frac{1}{10}$ i $\sqrt{35}$

5 0

3 years ago

Which relationship describes angles 1 and 2?

umka2103 [35]

I belive its B,and D,
B because, the lines are supplementary(because supplementary means it equal 180 degrees in length, which is those two angles.)
D, because they are put in such an angle in which making them adjecant.
Hope I helped:-) Bye bye.

8 0

3 years ago

Read 2 more answers

How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x

ivanzaharov [21]

$\Large \mathbb{SOLUTION:}$

$\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes} \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}$

5 0

3 years ago

Brandon has 32 stamps. He wants to display the stamps in rows, with the same number of stamps in each row. How many different wa

aniked [119]

Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.

8 0

3 years ago

Read 2 more answers

What is the solution to the system of equations below?

AnnyKZ [126]

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

8 0

3 years ago