All categories

3 years ago

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

Mathematics

1 answer:

elixir [45]3 years ago

6 0

Answer:

y = 1/3x y - 0 = 1/3 (x - 0)

Step-by-step explanation:

slope intercept: y = 1/3x

point slope: y - 0 = 1/3 (x - 0)

You might be interested in

A grocer sold 45% of his stock of sugar and the quantity that he sold was 96 kg less than the quantity left how much sugar did h

zmey [24]

Answer:

He sold 960 kg

Step-by-step explanation:

Let the initial stock measure be x kg

So if he sold 45% ; what he sold was;

45/100 * x = 0.45x

So the quantity left would be;

x - 0.45x = 0.55x

So what was left is 96kg more than what was sold

Mathematically, we have this as;

0.55x - 0.45 x = 96

0.1x = 96

x = 96/0.1

x = 960 kg

7 0

3 years ago

Can you please solve this question with procedure, please????<br><br> . h (x) = 6x^2+ 3x + 1

algol13

Answer:

Step-by-step explanation:

$6x^2+3x+1=0\\a=6,b=3,c=1\\(-b+-\sqrt{b^2-4ac} )/2a\\\\\frac{-3+-\sqrt{-15} }{12} \\\\$

The roots are:

$\frac{-3+-i\sqrt{15} }{12}$

7 0

4 years ago

Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0, -2, -4, 5

Sergeu [11.5K]

Answer:

The polynomial function $k(x)=x(x+2)^3(x+4)^2(x-5)^4$

To determine the multiplicity of 0, -2, -4, 5.

The multiplicity of a root is the number of times the root appears.

First find the root of the equation, set the function equals to zero.

$x(x+2)^3(x+4)^2(x-5)^4=0$

therefore, the root of this function are, x=0,-2, -4, 5

To find the multiplicity of the roots:

A factor of x would have a root at x=0 with multiplicity of 1

similarly, x=-2 with multiplicity of 3

x=-4 with multiplicity of 2

x=5 with multiplicity of 4.

4 0

3 years ago

Read 2 more answers

consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the indepen

katovenus [111]

When you write a function in the form $y=f(x)$ , y is the dependent variable, and x is the independent variable.

So, if b is the independent variable, it means that we have to solve the expression for r.

To do so, we perform the following steps: start with

$16b = 4r - 12$

Add 12 to both sides

$16b+12 = 4r$

Divide both sides by 4:

$4b+3 = r$

So, we wrote the expression in the form $r = f(b) = 4b+3$ , which means that r is the dependent variable and b is the independent variable, as requested.

4 0

3 years ago

Please answer at least one of them

Ray Of Light [21]

The equation of a circle with radius r and center at point (a, b) is given by
(x - a)^2 + (y - b)^2 = r^2
1.) For the circle given by x^2 + y^2 = 24
(x - 0)^2 + (y - 0)^2 = (√24)^2
Therefore, center = (0, 0) and radius = √24 = 4.9 units

3.) x^2 + y^2 -10x -2y = -10
x^2 - 10x + (-5)^2 + y^2 - 2y + (-1)^2 = -10 + (-5)^2 + (-1)^2
x^2 - 10x + 25 + y^2 - 2y + 1 = -10 + 25 + 1
(x - 5)^2 + (y - 1)^2 = 16
(x - 5)^2 + (y - 1)^2 = 4^2

6 0

3 years ago