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Vikki [24]
3 years ago
7

Solve for the roots in simplest form using the quadratic formula:4x2 – 12x = -5​

Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

x=2.5&.5

Step-by-step explanation:

The quadratic formula is (-b+or-sqrt(b^2-4ac)/2a

12+or-sqrt((-12^2)-4(4)(5))

12+or-sqrt(144-80)

12+or-sqrt(64)

(12+8)/8 and (12-8)/8

x=2.5 and x=.5

Rudiy273 years ago
6 0

Answer: x=\frac{5}{2},\:x=\frac{1}{2} or x=2.5,\:x=0.5

Step-by-step explanation:

4x^2-12x=-5

\mathrm{Add\:}5\mathrm{\:to\:both\:sides}

4x^2-12x+5=-5+5

\mathrm{Simplify}

4x^2-12x+5=0

Solve with Quadratic Formula

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

a=4,\:b=-12,\:c=5:\quad x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

\frac{-\left(-12\right)+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

\mathrm{Apply\:rule}\:-\left(-a\right)=a

\frac{12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=12+\sqrt{64}

\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=\sqrt{64}

\sqrt{64}=8

=\frac{12+8}{8}

=\frac{20}{8}

=\frac{5}{2}

x=\frac{5}{2},\:x=\frac{1}{2}

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The answer is
- m + 6 = 3m + 14
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8 0
3 years ago
A scientest is studying a new super bacteria that is threatening to cause an outbreak. On the first day, there were 5 organisms
ElenaW [278]

Answer:

C. 125

Step-by-step explanation:

Given:

Bacteria on day 1 = 5

On day 2, each bacteria got split into 5.

So, number of bacteria on day 2 = 5\times 5 = 25

Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.

So, number of of bacteria on day 3 = 25\times 5 =125

Therefore, the population of bacteria on day 3 is 125.

8 0
3 years ago
What is a real world word problem for 57.5=p(250)
sladkih [1.3K]
If p(x) is a function, then a real-world example might be

The amount of fish food, in grams required for the giant koi fish in the pond can be represented by the function p(f)=\frac{f}{50} +7.5. If there are 50 fish, how many grams of fish food will you need?

p(250)=\frac{250}{50} +7.5
p(250)=50 +7.5
p(250) = 57.5
3 0
3 years ago
Read 2 more answers
PLZ Help fast. It's Pre Calculus. This is the only day i get to spend time with my baby sister. please help fast. WILL MARK BRAI
Ivahew [28]
1) x³ + 2x² - x - 2                            2) 2x³ + 5x² - 8x - 20 = 0

x²(x + 2) - (x + 2)                                x²(2x + 5) - 4(2x + 5) = 0

(x + 2)(x² - 1)                                      (2x + 5)(x² - 4) = 0

(x + 2)(x - 1)(x + 1)                             x = -5/2, +-2

x = -2, 1, -1   << a is the answer.

hope that helps, God bless!
5 0
3 years ago
Read 2 more answers
4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...​
kirill115 [55]

Answer: x=0

Step-by-step explanation:

Multiply both sides of the equation by 35, the least common multiple of 5,7.

7×4x−5×3x=5×4x+5×5x

Multiply 7 and 4 to get 28.

28x−5×3x=5×4x+5×5x

Multiply −5 and 3 to get −15.

28x−15x=5×4x+5×5x

Combine 28x and −15x to get 13x.

13x=20x+25x

Combine 20x and 25x to get 45x.

13x=45x

Subtract 45x from both sides

13x−45x=0

Combine 13x and −45x to get −32x

−32x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.

X=0

7 0
3 years ago
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