All categories

2 years ago

Which equation best represents the constant rate of change shown in the pattern between the

Mathematics

1 answer:

sattari [20]2 years ago

3 0

Answer:

. s = 3f the answer is G

You might be interested in

A copy machine makes 24 copies per minute. How long does it take to make 90 copies?

quester [9]

that would be 3 minutes and 45 seconds (:

5 0

3 years ago

Ms. Allen makes beaded purses. She used 4,725 beads to make 3 identical purses (they are exactly the same and use the same numbe

solong [7]

4,725 divided by 3 equals 1,575

5 0

3 years ago

Find the work done by the force Bold Upper F equals xy Bold i plus (y minus x )Bold j over the straight line from (negative 1 co

aalyn [17]

Answer:

<h2>4/3 Joules </h2>

Step-by-step explanation:

Work is said to be done when force applied to an object causes the object to move through a distance.

Work done = Force * perpendicular distance.

$\int\limits^a_b {F} \, ds$

Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)

First we need to get the equation of the straight line given.

Given the slope intercept form y = mx+c

m is the slope

c is the intercept

m = y₂-y₁/x₂-x₁

m = 2-(-2)/1-(-1)

m = 4/2

m = 2

To get the slope we will substtutte any f the point and the slope into the formula y = mx+c

Using the point (1,2)

2 = 2+c

c = 0

y = 2x

Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;

F = x(2x) i + (2x - x) j

Using the coordinate (1, 2) as the value of s

$W = \int\limits^a_b ({2x^2 i + x j}) \, (i+2j)\\W = \int\limits^a_b ({2x^{2}+2x }) \, dx \\W = [\frac{2x^{3} }{3} +x^{2} ]\left \ x_2=1} \atop {x_1=-1}} \right.\\W = (2(1)^3/3 + 1^2) - (2(-1)^3/3 + (-1)^2)\\W =(2/3+1) - (-2/3+1)\\W = 2/3+2/3+1-1\\W = 4/3 Joules$

8 0

3 years ago

The equation of the graphed line in point-slope form is _______, and its equation in slope-intercept form is .

Ivenika [448]

Answer:

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

Slope-intercept form is:

$y=-0.6x+1.8$

Step-by-step explanation:

Point-slope form equation line passing through points $(x_1,y_1)(x_2,y_2)$

Slope = m = $\frac{y-2-y_1}{x_2-x_1}$

slope-intercept form is:

y = mx +c

where : c = intercept of on axis

$(y-y_1)=m\times (x-x_1)$

Equation of line passing through (-2,3) and (3,0).

$m=\frac{0-3}{3-(-2)}=-0.6$

$(y-3)=-0.6\times (x-(-2))$

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

For slope-intercept form open the brackets of Point-slope form equation l:

$y-3=-0.6x-1.2$

So, the slope-intercept form is:

$y=-0.6x+1.8$

7 0

3 years ago

the number of bacteria in a sample after x days is represented using the equation <img src="https://tex.z-dn.net/?f=b%3D50%2C000

KATRIN_1 [288]

Initial, x = 0, b = 50000

day 1, x = 1, b = 50000 (1.05)^-1

day 2, x = 2, b = 50000 (1.05) =^-2

day 2 / day 1 = 1.05^-2 / 1.05^-1 = 1.05^-1 = 0.952

Which means that the number of bacteria decreased 4.8%

3 0

3 years ago