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3 years ago

What are the domain and range of the function ?

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Can’t see the full graph! But you can see there’s a small portion of the graph showing at the bottom which seems to be continuing making the range start from negative infinity. So, it has to be either the first or last option. You can check where the least and greatest x values that are graphed are to determine your domain

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Find the measure of

11Alexandr11 [23.1K]

150
30 degrees away from 180 and
60 degrees away from 90

6 0

3 years ago

Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).

Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0) is y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

$m = \frac{d - b}{c -a}$

So, here the slope of the line AB is given as:

$m = \frac{0 - (-4)}{1-0} = \frac{4}{1} = 4$

⇒ m = 4

Now, by POINT SLOPE form:

The equation with slope m and point (x0 , y0) is represented as :

(y-y0) = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ; m = slope and C = y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1

4 0

3 years ago

What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?

Neko [114]

Answer:

the correct answer is the 3rd one

4 0

3 years ago

Read 2 more answers

The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimens

Nadusha1986 [10]

to solve for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

7 0

3 years ago

Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.

Tems11 [23]

Answer: (a) y = -3x + 10

$\bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}$

Step-by-step explanation:

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

$m=\dfrac{1-0}{3-0} = \dfrac{1}{3}$

Step 2: Find the slope of CD (opposite and reciprocal of OB)

$m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3$

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9 distributed -3 into (x - 3)

y = -3x + 10 added 1 to both sides

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x subtracted 10 from both sides

$\dfrac{10}{3}=x$ divided both sides by -3

3 0

3 years ago