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3 years ago

Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

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Determine the simple interest when: principal: $205,435 interest rate: 2.8%, time: 15 year

Vesna [10]

Step-by-step explanation:

<h3>principle (p) = $205,435</h3><h3>rate (r) = 2.8%</h3><h3>time (t) = 15 years</h3><h3>simple interest = (p × r × t) ÷ 100</h3><h3> = (205,435 × 2.8 × 15) ÷ 100</h3><h3> = 8,628,270 ÷ 100</h3><h3> = 86282.7</h3>

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4 0

2 years ago

Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of

Tcecarenko [31]

Answer:

Within 0.5 of ;

is not ;

Step-by-step explanation:

Given the data:

The actual standard deviation, = 1

;

The range rule of thumb to estimate the value if standard deviation is ;

Estimated standard deviation = Range / 4

The range = (maximum - minimum) values

The estimated standard deviation = 4 / 4 = 1

Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.

4 0

2 years ago

El que responda bien 5 estrellas y un gracias 7u7

adoni [48]

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

5 0

3 years ago

A rectangle has a length this is three times its width. If the area of the rectangle is 27 square feet, what are the dimensions

yuradex [85]

Answer:

The width of the rectangle is 3 and the width is 9. Those are reasonable measurements.

Step-by-step explanation:

6 0

3 years ago

In circle O, chord AOB is drawn. Point C is located on the exterior of the circle with tangent CB and secant CDA drawn.Itisknown

ser-zykov [4K]

Answer:

(a) 4

(b) 2√3

(d) 120°

Step-by-step explanation:

(a) The relationship between tangents and secants is ...

CB^2 = CD·CA

Filling in the given values, we find ...

CB^2 = 2·(2+6) = 16

CB = √16 = 4

The length of BC is 4 units.

(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.

CA^2 = CB^2 +AB^2

8^2 = 16 +AB^2

AB = √48 = 4√3

The radius is half the length of AB, so the radius is 2√3.

(c) The measure of angle C can be determined from the cosine relation:

cos(C) = CB/CA = 4/8 = 1/2

C = arccos(1/2) = 60°

The measure of angle C is 60°.

(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.

The measure of arc AD is 120°.

3 0

2 years ago