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<u>QUADRATIC EQUATION</u></h2>
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Step-by-step explanation:</h3>
<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>
Let's solve your equation step-by-step.
First, add 24 to both sides.
Since the coefficient of 5x² is 5, divide both sides by 5.
The coefficient of 26/5x is 26/5. So, let b=26/5.
Then we need to add (b/2)²=169/25 to both sides to complete the square.
Add 169/25 to both sides.
Factor the left side.
Take square root.
Then, add (-13)/5 to both sides.
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12 and 15 aren't relatively prime because they have 3 as a common factor. However, if it had only 1 as it's common factor then it would be relatively prime but 12 and 15 do have another common factor besides 1.
So basically you want to find the total percentage of cakes that weren't sponge cakes first.
You already have the 50% of party cakes. For the 1/5 percent of fruit cakes, you can multiply it by 20/20, to get 20/100, and then just take the 20 to get 20% that were fruit cakes.
Now you can just add the percentages together.
50% + 20% = 70%
So now you know 70% weren't sponge cakes, out of 100%.
So here you can just subtract 70% from 100% to figure out the remaining part of 100%, which must be sponge cakes.
100% - 70% = 30%
So 30% of the cakes were sponge cakes.
Value of x is 1/5
Step-by-step explanation:
- Step 1: Given equation is 4 = √6x + 15 - x. Square both sides of the equation.
⇒ 16 = 6x + 15 - x
⇒ 16 = 5x + 15
⇒ 1 = 5x
∴ x = 1/5
<u>Answer</u>
sinx = -1
<u>Explanation</u>
The graph below shown is a sine wave (sine graph).
This is because; sin0 = 0, sin90 = 1, sin 180 = 0, sin270= -1, and sin360= 0. This can be confirmed in the graph shown.
The line shown is the line, y = -1.
The two intersect at sinx = -1