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3 years ago

Solve the System of Equations

Mathematics

1 answer:

Softa [21]3 years ago

3 0

Answer:

The ordered pair value of (x, y) is (6,-11)

Solution:

Given Equations are

Let 8x + 15y = -117 be Equation 1 and 4x + 9y=-75 be Equation 2.

Solving Equations 1 and 2 to get the value of x and y.

Multiply Equation 2 with 4.

16x + 36y = -300

On dividing the above expression by 2, we get

8x + 18y = -150 (Change the sign to get the value of y).

-8x - 18y = 150 --- eqn 3

Now solving eqn 1 and eqn 3

8x + 15y = -117

-8x - 18y = 150

By cancelling 8x and -8x in eqn 1 and eqn 3

-3y = 33

y = -11

Substitute the value y in Equation 2.

4x + 9 (-11) = -75

4x – 99 = - 75

4x= -75 +99

4x = 24

x=6

Hence the value of x and y is (6,-11).

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Consider the graph of the linear equation 2x - 5y = 10.

jeyben [28]

Answer:

x-intercept= (5,0)

y-intercept= (0,-2)

Slope= 2/5

Step-by-step explanation:

7 0

3 years ago

Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yest

Fynjy0 [20]

Answer:

That would be 4.0

Step-by-step explanation:

if you have 4.2 take away 0.2 that would be 4.0

4.2

0.2

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Hope this helped regards

4 0

2 years ago

Expand the number 1120 into its corresponding exponential form. 25 · 5 · 7 52 · 8 22 · 53 · 7 2 · 5 · 7

Eduardwww [97]

Answer:

(A) 2^{5} * 5 * 7

Step-by-step explanation:

Your question formatting made it very complicated to understand the possible answers. Please use some notation or the equation editor next time.

So, the exponential form a way to write a number using multiplications and powers.

Let's examine the various options (if I read them correctly)

(A) 2^{5} * 5 * 7 - YES!

2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120

(B) 5² · 8 - NO

= 25 * 8 = 200

(C) 2² * 5³ * 7 - NO

= 4 * 125 * 7 =500 * 7 = 3500

(D) 2 · 5 · 7 - NO

= 10 * 7 = 70

5 0

2 years ago

Please help to find an explicit formula for calculating the sum Mn

defon

The explicit formula for calculating the sum is

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

The sum of the nth term of a sequence is expressed as;

$S_n=\frac{n}{2}(2a+(n-1)d)$

a is the first term

d is the common difference

n is the number of terms

For the sequence 0 + 1 + 2 + 3 +...

$S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}$

Similarly for the sequence:

1 + 2+ 3 + 4+...

$S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}$

Taking the product of the sum to get the explicit formula for calculating the sum

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

Learn more here: brainly.com/question/24547297

8 0

2 years ago

The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a m

Bogdan [553]

Ah clever. So you need two formulas.

1) Volume of the marble.

4(pi)r^3/3
= 4(pi)(1.4)^3/3
= 11.49 (approx)

2) Formula for density.

D = M / V
= 9 / 11.49
= 0.78

0.78 < 1

Therefore the marble will float.

8 0

3 years ago

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