All categories

2 years ago

Simplify x²-49/3x+21

2 answers:

5 0

$x^2-49=x^2-7^2=(x-7)(x+7)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)\\\\3x+21=3\cdot x+3\cdot7=3(x+7)\\\\\dfrac{x^2-49}{3x+21}=\dfrac{(x-7)(x+7)}{3(x+7)}=\dfrac{x-7}{3}$

Vera_Pavlovna [14]2 years ago

3 0

First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

$\frac{(x-7)(x+7)}{3(x + 7)}$

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:

$\frac{(x-7)}{3}$

You might be interested in

A number divided by 5 is 22 find the number

Naddika [18.5K]

110 just multiply 5 by 22

4 0

3 years ago

Read 2 more answers

For each of the -3.3 trials, and in the same sequence in which you entered the freezing points, enter your calculated values for

dedylja [7]

Answer:

The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as

$T_{f} = T_{p} -T_{s} = K_{f}$ * (morality of solution)

$T_{p}$ and $T_{s}$ are the freezing points of the pure solvent (water, 0°C) and $K_{f}$ = freezing point depression constant of water. Therefore,

$T_{f} = K_{f}$ *(0.859 m)

=====> (0°C) – (3.00°C) = $K_{f} *(0.859 m)$

=====> -3.00°C = $K_{f} *(0.859 m)$

Ignore the negative sign (since $K_{f}$ is positive) and get

$K_{f}$ = (3.00°C) / (0.859 m) = 3.492°C/m

The freezing point depression constant of the solvent is 3.5°C kg/mole

3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).

3 0

2 years ago

Evaluate this expression. 5^2 +3 (8-2) A. 28 B. 32 C. 43 D. 47 E. 168

Xelga [282]

Answer:

C. 43

Step-by-step explanation:

6 0

3 years ago

A candy maker offers Child and Adult bags of jelly beans with different color mixes. The company claims that the Child mix has 3

neonofarm [45]

If the companies claim is to be true this statement would also be true. Since the child bag is halved in the amount of the adults, the percentage would double. There are both 15 red jelly beans in each bag. 15% of 100 is 15. 30% of 50 is 15.

6 0

3 years ago

What is percent decrease 2.26 to 0.98

bazaltina [42]

It decreases by 1.28.

hope this helps!

4 0

2 years ago