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sammy [17]
3 years ago
6

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Answer:

factorisation method

4x² - 3x + 9 = 2x + 1

4x² - 3x-2x +9-1 = 0

4x² - 5x + 8 = 0

sum = -5

product= 4x8

32

factors=(try to look for the numbers when added they give -5 a!d when multiplied they give 32

press the numbers in the position of -5

factorise

each blacket equal it to 0

and solve for the two values of x

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(7-2)² - 5 / 5 I dont get the exponent part can someone help me with whole problem
ruslelena [56]

(7-2)² - 5/5

Do the math in the parentheses first.

7 - 2 = 5

Now the equation should read

(5)² - 5/5     or just       5² - 5/5

Do the exponent(s).

5² = 25

25 - 5/5

Do the division.

5/5 = 1

25 - 1 = 24

Therefore, according to our equation, the answer is 24.

I hope this answered your question.

4 0
2 years ago
Babysitting for 8 hours and making $72.00 or babysitting for 6 hours and making $57.00
alex41 [277]
6 hours because you would be getting payed 9.50 an hour but with the 8 hours you would be getting payed only 9 per hour
4 0
3 years ago
How can i solve by completing the square 4r^2-28r=-49
Natalija [7]
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

4r^2 - 28r = -49

\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}

r^2 - 7r = -\dfrac{49}{4}

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}

(r - \dfrac{7}{2})^2 = 0

r - \dfrac{7}{2} = 0

r = \dfrac{7}{2}
3 0
4 years ago
a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours
Maru [420]

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

7 0
3 years ago
15x+12(10-x)=141<br>make sure to use steps to solve!​
goldfiish [28.3K]

Answer: x=7

Step-by-step explanation: First you distribute the 12 to (10-x). That then gives you 15x+120-12x=141. Now you combine like terms. So you do 15x-12x=3x. Your new equation now is 3x+120=141. Subtract 120 from 141 and mark it out. That leaves you with 3x=21. Divide both sides by 3. Your final answer is x=7.

5 0
3 years ago
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