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Greeley [361]
3 years ago
13

3x squared + 6x =05x squared -20x=0How do I find the roots of each equation by factoring.

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0
5/4, -3Solve by Factoring 4x² + 7x - 15 = 02, -5Solve by Factoring x² + 3x - 10 = 0(1 ± i√11) / 2Solve using Quadratic Formula x² - x + 3 = 0(7 ± √3) / 2Solve using Quadratic Formula 2x² - 14x + 23 = 00, 2/3Solve by Factoring 6x² - 4x = 025/4<span>Complete the square to find the value of c.
x² - 5x + c</span>16<span>Complete the square to find the value of c.
x² + 8x + c</span>25<span>Complete the square to find the value of c.
x² - 10x + c</span>49/4<span>Complete the square to find the value of c.
x² + 7x + c</span>81/4<span>Complete the square to find the value of c.
x² - 9x + c</span>9<span>Complete the square to find the value of c.
x² + 6x + c</span>121/4<span>Complete the square to find the value of c.
x² - 11x + c</span>81<span>Complete the square to find the value of c.
x² + 18x + c</span>36<span>Complete the square to find the value of c.
x² - 12x + c</span>1<span>Complete the square to find the value of c.
x² + 2x + c</span>¼<span>Complete the square to find the value of c.
x² - x + c</span>100<span>Complete the square to find the value of c.
x² + 20x + c</span>225<span>Complete the square to find the value of c.
x² - 30x + c</span>9/4<span>Complete the square to find the value of c.
x² + 3x + c</span>4<span>Complete the square to find the value of c.
x² - 4x + c</span>121<span>Complete the square to find the value of c.
x² + 22x + c</span>144<span>Complete the square to find the value of c.
x² + 24x + c</span>2500<span>Complete the square to find the value of c.
x² - 100x + c</span>9/64<span>Complete the square to find the value of c.
x² + ¾x + c</span>1/16<span>Complete the square to find the value of c.
x² - ½x + c</span>f(x) = (x + ½)² + ¾Write in vertex form: f(x) = x² + x + 1f(x) = (x - 1)² + 3Write in vertex form: f(x) = 4 + x² - 2x(-5, -28)What are the coordinates of the vertex of f(x) = (x + 5)² - 28?(9, -21)What are the coordinates of the vertex of f(x) = (x - 9)² - 21?f(x) = (x - 8)² - 56Which function in vertex form is equivalent to f(x) = x² + 8 - 16x?f(x) = (x - 3)² + 9Write in vertex form: f(x) = x² - 6x + 18(-3, -13)What are the coordinates of the vertex of the function f(x) = 6x - 4 + x²?f(x) = (x - 3)² - 8Write in vertex form: f(x) = x² - 6x + 1f(x) = (x + 3)² - 6Write in vertex form: f(x) = x² + 6x + 3f(x) = (x + 5)² - 28Write in vertex form: f(x) = x² + 10x - 3f(x) = (x - 9)² - 21Write in vertex form: f(x) = x² - 18x + 600, -4Solve by graphing.0, 4Solve by graphing.±1Solve by graphing.±2Solve by graphing.-3, 1Solve by graphing.no real solutionsSolve by graphing.0Solve by graphing.<span>2</span>
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A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that
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Answer:

Initially, we had:

100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)

This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8

Then the mass of seeds, x, can be calculated as:

x/100g = 0.8

x = 0.8*100g

x = 80g

We also have another mixture, that is 5% seed (or 0.05 in decimal form)

This means that in X grams of this mixture, there will be y grams of seeds, such that:

y/X = 0.05

y = 0.05*X grams

Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).

Let's do this.

If we add X grams of the 5% mixture, the total mass will be:

M = 100g + X.

The total mass of seeds will be:

m = 80g + X*0.05

and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4

m/M = 0.4

(80g + X*0.05)/(100g + X) = 0.4

Let's solve this for X.

(80g + X*0.05) =  0.4*(100g + X)

80g + X*0.05 = 40g + X*0.4

80g - 40g = X*0.4 - X*0.05

40g = X*0.35

40g/0.35 = X = 114.2g

If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)

If we add 114g, like Tom wants, we will have:

M = 100g + 114g = 214g

m = 80g + 0.05*114g = 85.7g

m/M = 85.7g/214g = 0.4005

This is a really good aproximation, if we write this in percentage form this would be:

0.4005*100% = 40.05%

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