Question

1. select all the products that are negative, if $x$ is negative.$square -6xLXB0square -3(-x)LXB1square -x$5. ariel collected information about mockingbirds for a science project.| time (s) | 30 | 90 | 150 || ---- | ---- | ---- | ---- || number of wing beats | 420 | 1,260 | 2,100 |part ahow many times will a mockingbird beat its wings in 2 minutes?part bariel states that a mockingbird beats its wings approximately 0.07 times per second. is ariel correct? explain.

Explanation:

Question 4

Step1: Define negative x

Let $x = -k$ where $k>0$.

Step2: Evaluate $-6x$

Substitute $x=-k$: $-6(-k)=6k$, positive.

Step3: Evaluate $4x$

Substitute $x=-k$: $4(-k)=-4k$, negative.

Step4: Evaluate $-3(-x)$

Simplify first: $-3(-x)=3x$, substitute $x=-k$: $3(-k)=-3k$, negative.

Step5: Evaluate $0x$

$0x=0$, neither positive/negative.

Step6: Evaluate $-x$

Substitute $x=-k$: $-(-k)=k$, positive.

Step1: Find wing beats per second

Calculate rate: $\frac{420}{30}=14$ beats/second.

Step2: Convert 2 minutes to seconds

$2 \text{ min} = 2\times60=120$ seconds.

Step3: Calculate total wing beats

Multiply rate by time: $14\times120=1680$

Step1: Calculate actual beats per second

Use data: $\frac{420}{30}=14$ beats/second.

Step2: Compare to Ariel's claim

Ariel claims 0.07 beats/sec, which does not match 14.

Answer:

$\boldsymbol{4x}$, $\boldsymbol{-3(-x)}$

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Question 5 Part A