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4 years ago

Systems of linear equations iready quiz

Mathematics

1 answer:

saw5 [17]4 years ago

7 0

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

Does the following system have One Solution, No Solution, or Infinite Solutions.

$y = 4x + 8\\y = -5x + 3$

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

$-y = -4x - 8\\y = -5x + 3$

$0=-9x-5\\5=-9x\\x=-\frac{5}{9}$

Then, we use this value to find the other one

$y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}$

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

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I really need help! If you could

sp2606 [1]

Answer:

I'm not 100% on this but I believe it is 68° as well

I hope this is good enough:

6 0

3 years ago

Which function is graphed?

In-s [12.5K]

Answer:

this function has vertical asymptotes at an interval of π.

1/2 cosecx is the answer

8 0

3 years ago

Use this definition to find l'(a) at the given number a. f(x) = ✓ 3x + 1, a = 8

yanalaym [24]

F(x)= √3x + 1
a=8

8 √3 + 1 <—Exact form

14.85649646 <—In decimal form

5 0

3 years ago

Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is “nor

Olenka [21]

Answer:

He have 47 ducks and 7 cows.

Step-by-step explanation:

Given:

Farmer Jones raises ducks and cows.

He looks out his window and sees 54 animals with a total of 122 feet.

Now, to find the each type of animal he have.

Let the number of ducks be $x.$

And the number of cows be $y.$

So, total number of animals are:

$x+y=54$

$x=54-y$ ....( 1 )

As, the feet of cows are 4 and ducks are 2.

Now, the total number of feet are:

$2(x)+4(y)=122$

$2x+4y=122$

Substituting the value of $x$ from equation (1) we get:

$2(54-y)+4y=122$

$108-2y+4y=122$

$108+2y=122$

Subtracting both sides by 108 we get:

$2y=14$

Dividing both sides by 2 we get:

$y=7.$

The number of cows = 7.

Now, to get the number of ducks we substitute the value of $y$ in equation (1):

$x=54-y\\x=54-7\\x=47.$

The number of ducks = 47.

Therefore, he have 47 ducks and 7 cows.

4 0

4 years ago

Bigideasmath.

ratelena [41]

The total number of calories for 18 cups of milk is 1620 calories.
If two cups of milk is 180 calories then divide 180/2 to find the unit rate.
Then multiply 90 by the number of cups (18) and then you get the total number of calories for that many drinks.

6 0

3 years ago