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3 years ago

Solve the system of linear equations by substitution. 2x-y=3 x+5y=14

1 answer:

4 0

Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12

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2 years ago

a country will produce 3000 missels this year. each of the short range missles costs $200,000 to produce. Each of the medium ran

guapka [62]

Answer:

Step-by-step explanation:

3000/10=300 300=10% of total missiles

300*3=900(30%) That country (assuming it is Iran) would produce 900 short missiles and 900 medium missiles. 3000-900(2)=3000-1800=1200.

Iran will produce 1200 long range missiles.

For the cost of the missiles,

200,000*900=180,000,000. 300,000*900=270,000,000.

870M-(180M+270M)=870M-450M=420M

420,000,000/1200=350,000.

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2 years ago

What is the value of x2 + 4 for x = 5?<br><br> The x2 is x squared.

lana66690 [7]

<span>x2 + 4
=5^2 +4
= 25+4
=29

answer is 29</span>

7 0

3 years ago

Read 2 more answers

Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r

likoan [24]

The value of q(x) is $2 x+5$

The value of r(x) is $6$

Explanation:

The given expression is $\frac{2 x^{2}+13 x+26}{x+4}$

We need to rewrite the expression in the form of $q(x)+\frac{r(x)}{b(x)}$

Simplifying the expression, we get,

$\frac{2 x^{2}+8 x+5x+26}{x+4}$

Separating the fractions, we have,

$\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}$

$2 x+\frac{5 x+26}{x+4}$ -----------(1)

Now, we shall further simplify the term $\frac{5 x+26}{x+4}$ , we get,

$\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}$

Common out 5 from the numerator, we have,

$\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$

Substituting the value $\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$ in the equation(1), we get,

$2 x+5+\frac{6}{x+1}$

Thus, the expression $\frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1}$ is in the form of $q(x)+\frac{r(x)}{b(x)}$

Hence, we have,

$q(x)=2 x+5$

$r(x)=6$ and

$b(x)=x+4$

5 0

3 years ago

What is 5x^2+4x=80 times x^2-5x-24=0

Wittaler [7]

(5x²+4x-80)(x²-5x-24)=5x²(x²-5x-24)+4x(x²-5x-24)-80(x²-5x-24)
{distributive property of multiplication}
=5x^4-25x³-120x²+4x³-20x²-96x-80x²+400x+1920
=5x^4-21x³-220x²+304x+1920
This is the answer.

8 0

3 years ago