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Solve. $\newline$ $4x + 5y = -10$ $\newline$ $y = -10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

4x + 5y = -10

\newline

y = -10

\newline

(_____, _____)

Substitute $y = -10$ : Substitute $y = -10$ into the first equation $4x + 5y = -10$ . $\newline$ Calculation: $4x + 5(-10) = -10$ $\newline$ Simplify the equation. $\newline$ $4x - 50 = -10$
Isolate variable term $x$ : Isolate the variable term $x$ . Add $50$ to both sides of the equation. $4x - 50 + 50 = -10 + 50$ $4x = 40$
Solve for x: Solve for x. $\newline$ Divide both sides by $4$ . $\newline$ $\frac{4x}{4} = \frac{40}{4}$ $\newline$ $x = 10$
Find ordered pair solution: We found: $\newline$ $x = 10$ $\newline$ $y = -10$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 10$ and $y = -10$ into $(x, y)$ . $\newline$ The solution is $(10, -10)$ .

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In a random sample of

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\newline

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Write an equation in terms of

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Dominic sent a chain letter to his friends, asking them to forward the letter to more friends.

\newline

The relationship between the elapsed time

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P_{\text {hour }}(t)

, who receive the email is modeled by the following function:

\newline

P_{\text {hour }}(t)=18 \cdot(1.05)^{t}

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Complete the following sentence about the daily rate of change in the number of people who receive the email.

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Round your answer to two decimal places.

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Question

Jessie tried to solve an equation step by step.

\newline

1.5 b+9=11

\newline

1.5 b=3 \quad \text { Step } 1

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b=2 \quad \text { Step } 2

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Find Jessie's mistake.

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1

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1

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2

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(C) Jessie did not make a mistake.

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Question

Leon tried to solve an equation step by step.

\newline

\begin{aligned} \frac{1}{2} w-12 & =18 \\ \frac{1}{2} w & =30 \quad \text { Step } 1 \\ w & =15 \quad \text { Step 2 } \end{aligned}

\newline

Find Leon's mistake.

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(C) Leon did not make a mistake.

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Question

Olga tried to solve an equation step by step.

\newline

\begin{array}{rlrl} \frac{1}{4}\left(\frac{1}{3} k+9\right) & =6 & \\ \frac{1}{3} k+9 & =24 \quad \text { Step 1 } \\ \frac{1}{3} k & =15 \quad \text { Step 2 } \\ k & =5 \quad \text { Step 3 } \end{array}

\newline

Find Olga's mistake.

\newline

1

\newline

1

\newline

2

\newline

\operatorname{Step} 3

\newline

D Olga did not make a mistake.

Posted 9 months ago

Question

7

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\newline

Which equation would help determine the cost of

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\newline

1

\newline

\frac{x}{5}=\frac{\$ 8.96}{7}

\newline

\frac{x}{5}=\frac{7}{\$ 8.96}

\newline

\frac{7}{5}=\frac{x}{\$ 8.96}

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\frac{5}{x}=\frac{\$ 8.96}{7}

\newline

(E) None of the above

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Question

\lim _{x \rightarrow \frac{\pi}{4}} \frac{\cos (2 x)}{\cos (x)-\sin (x)}

\newline

1

\newline

\sqrt{2}

\newline

2

\newline

4

\newline

(D) The limit doesn't exist

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