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Vedmedyk [2.9K]
2 years ago
12

= Initial Knowledge Check Rewrite the expression by factoring out (y+9). 3y^2 (y + 9) + 7(y+9)​

Mathematics
1 answer:
alex41 [277]2 years ago
6 0

Answer:

3y {}^{2} (y + 9) + 7(y + 9) \\  = (y + 9)(3y { }^{2}  + 7)

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Select the two values of x that are roots of this equation 3x^2 + 1 =5x
Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

3x^{2} + 1 = 5x ⇒ 3x^{2} -5x + 1 = 0

(2) Divide the whole equation by 3

3x^{2} -5x + 1 = 0 ⇒ x^{2} -\frac{5}{3}x + \frac{1}{3}= 0

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

\frac{-b±\sqrt{b^{2} - 4ac}}{2a} (1)

In this case, a = 1, b = -\frac{5}{3}, c= \frac{1}{3}

Substituiting a, b and c in equation (1) We get:

\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)} (1)

The two solutions are:

x = 1.434 and x=0.232

8 0
2 years ago
IM GIVING BRAINIEST TO THE FIRST CORRECT ANSWER !!! HURRY.
dexar [7]

Answer:

-1,3

Step-by-step explanation:

1 left and 3 up

8 0
3 years ago
gas mileage is the number of miles you can drive on a gallon of gasoline a test of a new car result in 560 miles on 10 gallons o
jonny [76]

Answer:

you could drive 3600 miles on 60 gallons and 60 miles gas mileage

Step-by-step explanation:

560/10 as a fraction *6/6 as a fraction = 3600/60

7 0
3 years ago
What are some solution(s) to the quadratic equation 40 - x^2 = 0
Serhud [2]

Answer:

x = ± 2\sqrt{10}

Step-by-step explanation:

given

40 - x² = 0 ( add x² to both sides )

40 = x² or

x² = 40 ( take the square root of both sides )

x = ± \sqrt{40} = ± \sqrt{4(10)} = ± 2\sqrt{10}

3 0
2 years ago
20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
polet [3.4K]

Answer:

Y = A/X

Step-by-step explanation:

divide x from xy, balance the equation by dividing x from a.

8 0
3 years ago
Read 2 more answers
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