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3 years ago

6.

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Answer:

9,321.8688 cm2

Step-by-step explanation:

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What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

<u>the answer is the option</u>

$(3x-5)(x-1)$

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Last week, BJ’s put the $25 jeans on sale for $20. Find the percent of decrease.

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Your answer is a 20% decrease

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Rachel and her cousin Lena live in different cities about 100 miles apart.On the map the two cities measure 5 inches apart . Wha

Ostrovityanka [42]

On her map 1 inch is equal to 20 miles.

5x=100

divide both sides by 5

x=20

5 is for the 5 inches.
x is for the unknown.
100 is the 100 miles between the cities.

So the scale 1:20

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4 years ago

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If the perimeter of a triangle is 9x + 7y and two of the sides are 2x + 3y and 4x − y, which is the third side?

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The answer is A

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The ratio of grade 7's to grade 8's is 5:3. If there

Greeley [361]

Answer:

240 students

Step-by-step explanation:

Grade 7 : Grade 8 = 5 : 3

Number of seventh grade students = 5x

Number of Eighth grade students = 3x

3x = 90

x = 90÷3

x = 30

Total students = 5x + 3x = 8x = 8 * 30 = 240

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3 years ago