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2 years ago

What is the result of subtracting the second equation from the first?

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

Answer:

5x = 11.

Step-by-step explanation:

-4x - 2y = -2

x - 2y = 9

Subtracting:

-4x - x - 2y - (-2y) = -2 - 9

-5x - 2y + 2y = -11

-5x = -11

5x = 11.

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Solve the equation 40=2x2+2x by factoring.

just olya [345]

Step-by-step explanation:

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2 years ago

Solve for x: 3/2+1/2x=2x

kotykmax [81]

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

Multiply each side by 2 to get rid of the fractions

2(3/2+1/2x)=2x*2

3+x = 4x

Subtract x from each side

3+x-x = 4x-x

3 = 3x

Divide each side by 3

3/3 = 3x/3

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3 years ago

Mathematical induction of 3k-1 ≥ 4k ( 3k = k power of 3 )

tresset_1 [31]

For making mathematical induction, we need:

a base case

An $n_0$ for which the relation holds true

the induction step

if its true for $n_i$ , then, is true for $n_{i+1}$

the relationship is not true for 1 or 2

$1^3-1 = 0 < 4*1$

$2^3-1 = 8 -1 = 7 < 4*2 = 8$

but, is true for 3

$3^3-1 = 27 -1 = 26 > 4*3 = 12$

<h3>induction step</h3>

lets say that the relationship is true for n, this is

$n^3 -1 \ge 4 n$

lets add 4 on each side, this is

$n^3 -1 + 4 \ge 4 n + 4$

$n^3 + 3 \ge 4 (n + 1)$

now

$(n+1)^3 = n^3 +3 n^2 + 3 n + 1$

$(n+1)^3 \ge n^3 + 3 n$

if $n \ge 1$ then $3 n \ge 3$ , so

$(n+1)^3 \ge n^3 + 3 n \ge n^3 + 3$

$(n+1)^3 \ge n^3 + 3 \ge 4 (n + 1)$

$(n+1)^3 \ge 4 (n + 1)$

and this is what we were looking for!

So, for any natural equal or greater than 3, the relationship is true.

4 0

3 years ago

Graph the line with slope 1 passing through the point (-1,2).

Fudgin [204]

Step-by-step explanation:

Use the slope-intercept form, y=mx+b

y=-x+b

Now use the point (-1,2) tp solve for b.

2=-(-1)+b

2=1+b

b=1

y=-x+1

6 0

2 years ago

Mr. DeMouy is thinking of an irrational number between 4 and 9. Mrs. Nelson says that the number must be . Mr. DeMouy says this

geniusboy [140]

There are many irrational numbers between 4 an 9, so Mr. DeMouy is right. Two possible examples can be, 4.01001000100001...... another example would be 8.010100100010000100000....... These numbers are irrational because they're non-terminating so it goes on forever.

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2 years ago