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lawyer [7]
4 years ago
8

Write the solution set for equation 7x - 2y = 8 with this replacement set: {(1,-1),(2,3), (0,-4), (4,10)}.

Mathematics
1 answer:
LenKa [72]4 years ago
5 0
The second one 
Hope that helps :) 

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6x^2-9x +2=0 solve the quadratic equation using the quadratic formula
balu736 [363]

<u>ANSWER: </u>

The roots of 6 x^{2}-9 x+2=0 are \frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}

<u>SOLUTION:</u>

Given, quadratic equation is 6 x^{2}-9 x+2=0 --- eqn (1)

We need to find the roots of given quadratic equation using quadratic formula.

Quadratic formula for general quadratic equation  a x^{2}+b x+c=0 is X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for eqn (1) a = 6, b= -9 and c = 2

X=\frac{-(-9) \pm \sqrt{(-9)^{2}-4 \times6 \times 2}}{2 x 2}

X=\frac{9 \pm \sqrt{81-48}}{4}

\begin{array}{l}{X=\frac{9 \pm \sqrt{33}}{4}} \\ {X=\frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}}\end{array}

Hence the roots of 6 x^{2}-9 x+2=0 are \frac{9+\sqrt{33}}{4}, \frac{9-\sqrt{33}}{4}

6 0
3 years ago
A weight loss program advertises a person can attain an average weight loss of 4 pounds per week.
Julli [10]

Answer:

a)  Avg rate of change = 4 pounds per week

b)  160 pounds

Step-by-step explanation:

a)

The average rate of change is also called the slope. It is advertised that a person can loose 4 pounds in a week in the program. So, the average rate of change is 4 pounds per week.

Avg rate of change = 4 pounds per week

b)

In 5 weeks, a person can loose:

4 * 5 = 20 pounds (in 5 weeks)

Initially the person weighed 180 pounds, now after the program, he lost 20 pounds, so his weight will be:

180 - 20 = <u>160 pounds</u>

6 0
3 years ago
What is the volume of the box
aalyn [17]

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

5 0
3 years ago
Find the sum of -3x^2 - 7x + 9 and -5x^2 + 6x - 4 , please answer this!
Whitepunk [10]

Answer:

-8x^2-x+5

Step-by-step explanation:

sum equals add

(-3x^2-7x+9)+(-5x^2+6x-4)

add like terms

-3x^2+(-5x^2)= -8x^2

-7x+6x= -x

9+(-4)= 5

there

3 0
3 years ago
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
marshall27 [118]

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

5 0
3 years ago
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