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kogti [31]
3 years ago
13

2. Solve for the values of x by factoring.

Mathematics
2 answers:
Vikki [24]3 years ago
7 0

Answer:

x = - 3, x = - 6

Step-by-step explanation:

{x}^{2}  + 9x + 18 = 0 \\  \\  {x}^{2}  + 6x + 3x + 18 = 0 \\  \\ x(x + 6) + 3(x + 6) = 0 \\  \\ (x + 6)(x + 3) = 0 \\\\ x + 3 = 0 \:  \: or \:  \: x + 6 = 0 \\  \\ x =  - 3, \:  \: or \:  \: x =  - 6 \\  \\

miskamm [114]3 years ago
7 0

Answer:

\red{\boxed{ \green  {x  =  -3 , x =  - 6}}}

Step-by-step explanation:

{x}^{2}  + 9x + 18 = 0 \\  \implies \:x²+3x+6x+18=0\\ \implies \: x(x+3)+6(x+3)=0\\ \implies(x + 3)(x + 6) = 0 \\  \implies \: x  =  -3 , x =  - 6

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Please help!posted picture of question
motikmotik
Answer:
5x⁴ + 5x³

Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1

Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³

Hope this helps :)
3 0
3 years ago
A skier has decided that on each trip down a slope, she will do 3 more jumps than before. On her first trip she did 5 jumps. Der
taurus [48]
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.

Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.

Let us try it below:

Sigma notation 1:

  10
<span>   Σ (2i + 3)
</span>i = 3

@ i = 3

2(3) + 3
12

The first sigma notation does not have the same result, so we move on to the next.

  10
<span>   Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.

When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)

Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.


3 0
3 years ago
3/4 is 1/3 of what number? Write a division expression to match this expression
WITCHER [35]
It would be 9/4. To find 1/3 of something you have to multiply it by 3. 9/4 should be considered as a division expression. Hope this helped!
7 0
3 years ago
Cups of water fill 4 identical water bottles. How many cups fill each bottle?
Anna71 [15]

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

3 0
3 years ago
Write<br> 3 5/6<br> as an improper fraction.
lisov135 [29]

Answer:

23/6

Step-by-step explanation:

3 5/6  multiply 6 times 3 then add 5 which is 23 then take six and is the denominator and 23 is the numerator

4 0
3 years ago
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