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gizmo_the_mogwai [7]
3 years ago
12

Solve the following system. x^2 + y^2 = 25 2x + y = 10 The solution set

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
\begin{cases} x^{2}+y^{2}=25 \\ 2x+y=10 \end{cases} \\  \\ \begin{cases} x^{2}+y^{2}=25 \\ y=10 -2x\end{cases} \\  \\ \begin{cases} x^{2}+(10-2x)^{2}=25 \\y=10-2x \end{cases} \\  \\ \begin{cases} x^{2}+100-40x+4x^{2}=25 \\y=10-2x \end{cases} \\  \\ \begin{cases} 5x^{2}-40x+75=0 \\y=10-2x \end{cases}

\begin{cases} x^{2}-8x+15=0 \\y=10-2x \end{cases} \\  \\  \begin{cases} \Delta=(-8)^{2}-4*1*15=64-60=4; \ \ \  \sqrt{\Delta} =2 \\y=10-2x \end{cases} \\  \\  \begin{cases} x_{1}= \frac{8-2}{2} =3 \ \wedge \ x_{2}= \frac{8+2}{2}=5  \\y=10-2*3=4 \ \wedge \ y=10-2*5=0 \end{cases}
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Bob buys lunch at Chick Fil A for his friends on Tuesday. He buys 9 sandwiches and 5 drinks
Finger [1]

Answer:

A sandwich is $3.50 and the price of a drink is $2.50

Step-by-step explanation:

Create a system of equations where s is the price of a sandwich and d is the price of a drink:

9s + 5d = 44

15s + 7d = 70

Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:

63s + 35d = 308

-75s - 35d = -350

Add them together:

-12s = -42

s = 3.5

Then, plug in 3.5 as s into one of the equations to solve for d:

9s + 5d = 44

9(3.5) + 5d = 44

31.5 + 5d = 44

5d = 12.5

d = 2.5

So, a sandwich is $3.50 and the price of a drink is $2.50

7 0
3 years ago
Read 2 more answers
-k2-(3k-5n)+6n; k=-3 and n=-4
Anna11 [10]
If you are evaluating the answer is -41
5 0
3 years ago
Kirstin if you see this comment on this-charles!!<br> What is a square root?
Svetradugi [14.3K]

A square root of a number is simply the numbers multiplied to get to the specified one. For example, the square root of 81 is 9 because 9 x 9 (or 9 squared) equals 81.

Hope this helps!

8 0
3 years ago
Given: -7x &lt; -21. Choose the solution set. {x | x &lt; -3} {x | x &gt; -3} {x | x &lt; 3} {x | x &gt; 3}
blondinia [14]
First, simplify the inequality by getting the x term with a coefficient of 1.

Divide both sides by -7. When you multiply or divide an equality by a negative number, you flip the inequality sign the opposite way.

-7x / -7 < -21 / -7
x > 3

In set build notation is would look like this: {x | x > 3}

Which would be read as "the set of all x, such that, x is greater than 3".
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4 years ago
Calculators cost $40 each at Tech Central. How many calculators can Mrs.Robinson buy for her class with $1,000 if the tax on eac
marishachu [46]
1,000/40= 25 calculators
1,000/40.30=24.8
she can only buy 24 calculators all together
3 0
3 years ago
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