All categories

2 years ago

Solve by elimination

Mathematics

1 answer:

belka [17]2 years ago

7 0

y = 3

x = -2

These are the solutions after elimination

You might be interested in

Find the probability that in a pig family of 4 offspring there will be at least 1 male and 1 female. Assume that the probability

Naya [18.7K]

The probability of there being zero males is given by:
$P(zero\ males)=4C0\times0.5^{0}\times0.5^{4}=\frac{1}{16}$
Similarly the probability of there being zero females is also 1/16.
The probability there will be at least 1 male and 1 female is therefore:
$1-(\frac{1}{16}+\frac{1}{16})=\frac{7}{8}$
The answer is: 7/8.

5 0

2 years ago

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

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

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37 x=? y=?

lesya692 [45]

-14x + 11y = 23
+2(7x - 3y = 37)
----------------------
0 + 5y = 97
y = 97/5
y = 19.4

7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6

Check

-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23

3 0

2 years ago

What is the value of f(x)=2•2^x for f(-2)

Zigmanuir [339]

Answer:

The value of f(-2) is 1/2 or it can be written as 0.5.

Step-by-step explanation:

The given function is

$f(x)=2\cdot 2^x$

We have to find the value of f(-2).

Substitute x=-2 in the given function to find the value of f(-2).

$f(-2)=2\cdot 2^(-2)$

$f(-2)=2\cdot \frac{1}{2^(2)}$

$f(-2)=\frac{1}{2}$

$f(-2)=0.5$

Therefore the value of f(-2) is 1/2 or it can be written as 0.5.

3 0

3 years ago

(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Rashid [163]

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

Step-by-step explanation:

You are welcome.

And I hope this helps. :)

4 0

3 years ago

Read 2 more answers