15 points!!!

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept signifies the location on the graph where it intersects the x-axis.

At the x-intercept, y=0 or f(x)=0.

Therefore, you need to examine the table for the instance where f(x)=0.

The value f(x)=0 is found at x=3 in the table.

We express this as an ordered pair.

Hence, the x-intercept is (3,0).

The right option is B.

Answer:

The option is D: Absolute value function

Step-by-step explanation:

The absolute value indicates how far a number is from 0 on the number line, in either direction.

We have the function;

f(x) = |2x³ - 3x| + 5

This function holds an absolute value operator which is |2x³ - 3x|.

Consequently, this function is characterized as an absolute value function since it includes algebraic terms enclosed in absolute value notation.

Answer:

The blimp's altitude is 1635.363039 feet above the ground.

Step-by-step explanation:

Archie and Veronica stand one mile (5280 ft) apart on the ground, leading to AV = 5280 feet.

Let's denote the blimp's height above ground as XB = h feet.

Archie records the angle of elevation from the ground to the blimp as 53 degrees, signifying angle ∠BAX = 53°.

Veronica, meanwhile, measures the angle of elevation to the blimp at 22 degrees, indicating angle ∠BVX = 22°.

In Right triangle ΔAXB, we utilize cot(A) = AX / XB.

Thus, AX can be expressed as AX = XB*cot(A) = h*cot(53°) = 0.75355405*h.

In Right triangle ΔVXB, cot(B) is similar: cot(B) = VX / XB.

Consequently, VX is VX = XB*cot(B) = h*cot(22°) = 2.475086853*h.

We know AV = 5280, meaning AX + VX = AV.

Therefore, AX + VX equals 5280.

From here, we can write: 0.75355405*h + 2.475086853*h = 5280.

This simplifies to: 3.228640904*h = 5280.

Thus, h is calculated as 5280 / 3.228640904 = 1635.363039 feet.

Thus, the blimp's height from the ground is 1635.363039 feet.

Response:

Stepwise explanation:

Given the expression

x² - x - 12

First, let’s factor this expression

Refer to the attachment for simplification

x² - 4x + 3x - 12

x(x - 4) + 3(x-4)

(x + 3)(x - 4)

Consequently, 4 negative unit tiles are necessary

The task requires calculating toys produced per hour.

To find this, we divide the total number of assembled toys by the number of hours worked.

It operates on a five-day schedule.

Each day consists of 8 working hours.

This means the weekly total is 8 × 5 = 40 hours.

Over the week, 400 toys were made.

Thus, toys put together each hour per individual

= total toys / total hours

= 400 / 40

= 10 toys each hour for every person.

The average toys assembled hourly per person is 10.