Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?

Mathematics

2 answers:

lukranit [14]3 years ago

6 0

Answer:

option a or (1,2) on edge

Step-by-step explanation:

cupoosta [38]3 years ago

3 0

For this case we have the following system of equations:

$y = -x ^ 2 + x + 2\\y = -x + 3$

We observe that we have a quadratic equation and therefore the function is a parabola.

We have a linear equation.

Therefore, the solution to the system of equations will be the points of intersection of both functions.

When graphing both functions we have that the solution is given by:

$x = 1\\y = 2$

That is, the line cuts the quadratic function in the following ordered pair:

(x, y) = (1, 2)

Answer:

the solution (s) of the graphed system of equations are:

(x, y) = (1, 2)

See attached image.

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Helga [31]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. Write an expression to

zysi [14]

<span>C = 45 + 18 + 27 - 21 - 93 C = -24 Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C C "Cody made deposits of $45, $18, and $27 into his checking account." C = 45 + 18 + 27 "He then wrote checks for $21 and $93." C = 45 + 18 + 27 - 21 - 93 So the expression to represent the change to Cody's checking account is C = 45 + 18 + 27 - 21 - 93 Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it. C = 45 + 18 + 27 - 21 - 93 I'll add together all the deposits. C = (45 + 18 + 27) - 21 - 93 C = 90 - 21 - 93 And I'll combine the checks. C = 90 - 114 So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So C = -24 And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>

5 0

3 years ago

Simplify the expression.<br> -5+i/2i

Lostsunrise [7]

Answer:

$\rm - \dfrac{11}{2}$

Step-by-step explanation:

$\rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2}$