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3 years ago

What is the solution to this system of linear equations?

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation: hope this helps

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Which value below is included in the solution set for the inequality statement?

mixas84 [53]

You haven't provided any value, but I can tell you the solution set for the inequality.

First of all, expand both sides:

$-3x+12 > 6x-6$

Add 3x to both sides:

$12 > 9x-6$

Add 6 to both sides:

$18 > 9x$

Which is of course equivalent to

$9x < 18$

Divide both sides by 9

$x < 2$

So, every number smaller than 2 is part of the solution of this inequality.

7 0

2 years ago

Please help me ): I'm in desperate need of help I'm still in Middle School and I'm so confused I don't want to get a bad grade )

lutik1710 [3]

Answer:

you can use either or for the last one

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to 63 + 27?

azamat

The answer would be B.

5 0

2 years ago

A father wishes to give his son P200, 000 ten years from now. What amount should he invest if it will earn interest at 10% compo

Archy [21]

Answer:

C. P69,256.82

Step-by-step explanation:

We know that,

The amount formula in compound interest is,

$A=P(1+\frac{r_1}{n_1})^{n_1t_1} (1+\frac{r_2}{n_2})^{n_2t_2}.......$

Where, P is the principal amount,

$r_1, r_2....$ are the annual rate for the different periods,

$t_1, t_2,.....$ are the number of year for different periods,

$n_1, n_2, n_3...$ are the number of periods,

Given,

A = P 200,000,

$r_1=10%=0.1$ , $n_1=4$ , $t_1=5$ , $r_2=12%=0.12$ , $n_2=1$ , $t_2=5$

Thus, by the above formula the final amount would be,

$200000=P(1+\frac{0.1}{4})^{4\times 5}(1+\frac{0.12}{1})^{1\times 5}$

$200000=P(1+0.025)^{20}(1+0.12)^5$

$200000=P(1.025)^{20}(1.12)^5$

$\implies P=69,256.824\approx 69,256.82$

Option C is correct.

8 0

2 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at miles 90 per

algol [13]

So the eastbound train travels at 90 miles per hour in the complete opposite direction to the westbound equivalent, which travels at 80 miles per hour. Therefore, per hour, they get 170 miles away from each other. Since we are working out how long it would take for them to be 204 miles apart:

204 / 170 = 1.2 Hours, or 1 hour and 12 minutes.

Hope I helped!

8 0

3 years ago