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juin [17]
2 years ago
10

Solve by completing the square: x^2+18x+45=0

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

 x = -3 , - 15

Step-by-step explanation:

<em>Given:</em>

<em>x² + 18x + 45 = 0</em>

<em>Solve:</em>

<em />x_{1,\:2}=\frac{-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45}}{2\cdot \:1}

Simplify

-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45=12

x_{1,\:2}=\frac{-18\pm \:12}{2\cdot \:1}

Separate the solution

x_1=\frac{-18+12}{2\cdot \:1},\:x_2=\frac{-18-12}{2\cdot \:1}

x_1=\frac{-18+12}{2\cdot \:1}=-3

x_2=\frac{-18-12}{2\cdot \:1}=-15

Thus, the answer are:

x=-3,\:x=-15

<u><em>Kavinsky</em></u>

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After writing part of his novel, Thomas is now writing 16 pages per week. After 4 weeks, he has written 85 pages. Assume the rel
d1i1m1o1n [39]

The initial value is 21 and rate of change is 16 pages per week

<em><u>Solution:</u></em>

Given that After writing part of his novel, Thomas is now writing 16 pages per week

After 4 weeks, he has written 85 pages.

Given that assume the relationship to be linear

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c

y = mx + c

where "y" is the number of pages written after 4 weeks

x = 4 weeks and m = 16 pages

Therefore,

85 = 16(4) + c

85 = 64 + c

c = 85 - 64

c = 21

Therefore, initial value is 21 and rate of change is 16 pages per week

7 0
3 years ago
Whats -4 (x - 5) = 40
Stels [109]

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

7 0
3 years ago
Imagine that you have a very large barrel that contains tens of thousands of M&amp;M's. According to the official M&amp;M websit
Finger [1]

Answer:

(A)20%, 20%, 20%, 20%, 20%

Step-by-step explanation:

We are told that 20% of the M&M's produced by the Mars Corporation are Orange in color. If 5 students take a random sample of 50 M&M's, the most plausible percentage of orange candies that will be obtained is:

20%, 20%, 20%, 20%, 20%

This is as a result of the fact that in research experiments, a sample is a representation of the whole. Any result which holds for a random sample should hold for the total population and vice versa.

5 0
3 years ago
Round 3208 to the nearest ten place
polet [3.4K]

Answer:

3210

Step-by-step explanation:

When rounding to the nearest 10, 100, 1000 and so on, the number digit before it has to be 5 or above. in this case, the number before the tenth placement digit is 8. Rounding it to 3210.

P.S

Have an Amazing Day!

<em><u>Faker/Tosrel</u></em>

3 0
4 years ago
Read 2 more answers
2<br> 1 point<br> The point, (-3, 7), is on the line y = -3x+7.<br> True<br> O False
sladkih [1.3K]

Step-by-step explanation:

  • in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.
  • If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line
  • Now let us plug in the value of x=-3
  • y =  - 3( - 3) + 7 \\ y =  - 9 + 7 \\ y =  - 2
  • now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2
  • therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.
8 0
1 year ago
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