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2 years ago

Solve the quadratic equation by completing the square. 3x2 - 6x - 4 = 0

Mathematics

1 answer:

Akimi4 [234]2 years ago

7 0

Answer:

-0.53, 2.53 to the nearest hundredth.

Step-by-step explanation:

3x^2 - 6x - 4 = 0

3(x^2 - 2) - 4 = 0

3 [ ( x - 1)^2 - 1] = 4

3(x - 1)^2 - 3 = 4

3(x - 1)^2 = 7

(x - 1)^1 = 7/3

x - 1 = +/- √(7/3)

x = +/- √(7/3) + 1

x = 2.53, -0.53.

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Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same

monitta

Answer:

8 students,

15 cans of juice and 11 packs of cheese cracker

Step-by-step explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

$120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11$

The greatest common factor is

$2\cdot 2\cdot 2=8,$

so the greatest number of students who can share the food equally is 8 and each student will get $3\cdot 5=15$ cans of juice and 11 packs of cheese cracker.

4 0

3 years ago

20. An amount of money was shared among five boys Ali, Juma, Musa, Khalid and Mustafa. Ali got /8 of the total amount while Juma

Nadusha1986 [10]

Answer:

$x=\frac{18000}{7}=2571\frac{3}{7}$

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since $\frac{7}{30}x=600$

7x=18000

$x=\frac{18000}{7}=2571\frac{3}{7}$

3 0

1 year ago

Suppose the 3 schools have succeeded in raising

goldfiish [28.3K]

Answer:

school b

Step-by-step explanation:

it has more

8 0

2 years ago

A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. I

Leya [2.2K]

To solve this, we have to find the volume of the cylinder first. The formula to be used is $V = \pi r^{2} h$

Given:V= ?r= 6cmh= 10cm
Solution: $V = \pi r^{2} h$
V= (3.14)(6cm) $^{2}$ x 10cmV= (3.14)( $36cm^{2}$ ) x 10cmV= ( $113.04cm^{2}$ ) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.

5 0

2 years ago

What is an explicit equation?

artcher [175]

An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.

Hope this made sense.

4 0

3 years ago