All categories

3 years ago

Solve the equation for all values of x by completing the square. 3x^2-60x+255=0

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

You might be interested in

There ate 38 cube houses. Each house could hold 1,000 unit cubes that are 1 meter by 1meter by 1meter.Describe the dimensions of

Ivan

We know that V = a^3 and that it's 1000 cubic meters (or unit cubes as long as one unit cube is 1x1x1m). We can write the calculation as attached below. The result (dimensions of one cube house) is 10x10x10 meters.

3 0

3 years ago

At a party of 102 people,17 lb of potato salad is served. a. Write and solve an equation to find how many people each pound of p

Novay_Z [31]

Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

<u><em>Explanation</em></u>

At a party of 102 people, 17 pounds of potato salad is served.

<u>a.</u> Suppose, each pound of potato salad is served to $x$ number of people.

So, 17 pounds of salad is served to $(17*x)$ or $17x$ number of people. That means......

$17x= 102\\ \\ x= \frac{102}{17}=6$

So, each pound of potato salad is served to 6 people.

<u>b.</u> Suppose, the average number of pounds of potato salad that each person is served is $y$

So, the total number of pounds of salad, served to 102 people $= (y*102)$ pounds $=102y$ pounds. That means .....

$102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}$

So, the average number of pounds of potato salad that each person is served will be $\frac{1}{6}$ pound.

3 0

2 years ago

Solve 2 more please?

murzikaleks [220]

11.

(87+91+86+x)/4=90.

x=96.

13.

50×y > 130.

the lowest number could be 3, because 50×2=120, which is less than 130.

8 0

2 years ago

Read 2 more answers

Hey Bestie! 50 pts Pls help! Real answers only pls <3

frosja888 [35]

Answer:

$1. \: 3i$

2. option D

3. option C

4. option D

5. option C

6. option B

7. option C

8. option D

9. option C

10. option C

Step-by-step explanation:

$\sqrt{ - 1(9)}$

$\sqrt{ - 1} \times \sqrt{ 9}$

$i \times \sqrt{9}$

$i \times \sqrt{ {3}^{2} }$

$i \times 3$

$3i$

$\sqrt{ - 1(8)}$

$\sqrt{ - 1} \times \sqrt{8}$

$i \times \sqrt{8}$

$i \times \sqrt{ {2}^{2} \times 2 }$

$2i \sqrt{2}$

$\sqrt{ - 1} \times \sqrt{80}$

$i \times \sqrt{80}$

$4i \: \sqrt{5}$

$\sqrt{ - 1} \times \sqrt{75}$

$i \times \sqrt{75}$

$i \times \sqrt{ {5}^{2} \times 3 }$

$5i \sqrt{3}$

$\sqrt{ - 1} \times \sqrt{72}$

$i \times \sqrt{72}$

$i \times ( {6}^{2} \times 2)$

$6i \sqrt{2}$

$\sqrt{ - 1} \times \sqrt{20}$

$i \times \sqrt{20}$

$i \times \sqrt{ {2}^{2} \times 5}$

$2i \sqrt{5}$

$\sqrt{ - 1} \times \sqrt{27}$

$i \times \sqrt{27}$

$i \times \sqrt{ {3}^{2} \times 3}$

$3i \sqrt{3}$

$\sqrt{ - 1 \times 12}$

$i \times \sqrt{12}$

$i \times \sqrt{4(3)}$

$2i \sqrt{3}$

$\sqrt{ - 1} \times \sqrt{125}$

$i \times \sqrt{ {5}^{2} \times 5 }$

$5i \sqrt{5}$

$\sqrt{ - 1} \times \sqrt{180}$

$i \times \sqrt{ {6}^{2} \times 5 }$

$6i \sqrt{5}$

<h3>Hope it is helpful...</h3>

5 0

2 years ago

2. A six sided cube was rolled. What is the probability of showing an odd number?"

Mrac [35]

Answer:

50 % since there are 3 odd numbers on a die [1.3.5] and 3 even numbers [2,4,6]

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers