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4 years ago

What is the solution to the following system of equations?

1 answer:

7 0

$\left\{\begin{array}{ccc}y=-x^2-5x-4&|change\ signs\\y=-x^2+9x-18\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-y=x^2+5x+4\\y=-x^2+9x-18\end{array}\right}\ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ 0=14x-14\ \ \ \ |subtract\ 14x\ from\ both\ sides\\.\ \ -14x=-14\ \ \ \ |divide\ both\ sides\ by\ (-14)\\.\ \ \ \ \ \ x=1\\\\\\subtitute\ the\ value\ of\ x\ to\ the\ equation\ y=-x^2-5x-4\\\\y=-1^2-5\cdot1-4=-1-5-4=-10$

Answer: x = 1 and y = -10

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Simplify each expression. Leave no negative or zero exponents (MCC.8.EE.1) 5m6•2m8

andrew11 [14]

<h3>Answer:</h3>

10m^14

<h3>Step-by-step explanation:</h3>

The rule of exponents applicable here is ...

... (a^b)·(a^c) = a^(b+c)

Then ...

... (5m^6)·(2m^8) = (5·2)·(m^(6+8)) = 10m^14

6 0

4 years ago

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg.The total weight of Carls baggag

Wewaii [24]

An equation you can use to determine the total weight of carls checked bags is (35kg-4kg)/2=15.5kg

6 0

3 years ago

A loss of $500 in the stock market is worse than a gain of $200 in the stock market.

kogti [31]

Answer:

-500 < 200

Step-by-step explanation:

In inequality,

less than = <

greater than = >

Less than equal to = ≤

Greater than equal to = ≥,

Here, the given sentence is,

loss of $500 is worse than a gain of $200

Generally loss represents by an amount with negative sign,

That is, loss of $ 500 = - $ 500

Also, worse than is equivalent to less than

Thus, the required inequality would be,

-500 less than 200

⇒ -500 < 200

5 0

3 years ago

A expression like 3+5 multiply 4-1 is a combination of numbers

alex41 [277]

Answer:

8 × 3 = 24 because you use PEDMAS

Step-by-step explanation:

7 0

3 years ago

PLEASEEEEE I NEED HELPPPPP !!!!!!!

velikii [3]

(Volume for a rectangular shape is length x width x height)

We can split up this 3D composite figure into two main parts (as shown in the picture I attached), and find each part’s volume before adding them together for the total volume.

Cube —> 5x5x5 —> 25x5 = 125 in^3

Rectangular Prism —> 20x5x5 —> 100x5 = 500 in^3

125 + 500 = 625

So the answer is A. 625 in^3

Hope this helped! If I was correct, I’d appreciate it if you marked my answer as Brainliest.

7 0

3 years ago