Luiza delivers newspapers in her neighborhood. If you plot the points (−1, 1), (4, 1), (4, −2) and (−1, −2), you will create a r

A vertical throw refers to an instance where an object is tossed straight up with an initial speed, v_o, and is allowed to ascend and eventually fall back to the starting altitude due to gravitational forces acting on it without any friction involved. To find the time at which it reaches a height of 120 feet, we must use the projectile equation which models its height in relation to time. The equation is rearranged as necessary to form a second-degree equation, resolving the variable t to determine at which times the height equals 120 ft.

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as , where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

Duration = distance ÷ velocity
duration = (5 1/5) ÷ (8 2/3)
duration = (26/5) ÷ (26/3)
        = 26/5 × 3/26
        = 3/5 of an hour <===

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

A.

B.

C.

D.

Response:

B.

Detailed explanation:

Given

Equation 1:

Equation 2:

Required:

Equivalent of equation 2

To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it

Open the brackets

Simplify the fractions

Divide by 2

Re-arrange

Next, we compare options A through D with

A. is not equal to

Next, we check the second option

B.

matches

This option represents the second equation in slope-intercept format.

We check for further options

C.

Convert the fraction into a decimal

This does not equal

D.

Convert the fraction to decimal

This also does not equal to

Therefore, the only option equivalent to the second equation in slope-intercept form is Option B

<span>-|2x-10|-1=2 has ZERO solutions since the absolute value function cannot yield negative outcomes. It can equal 0 or be positive, but it can never be negative.

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