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3 years ago

I can't seem to factor out this equation. 40x squared -46x +12

Mathematics

1 answer:

rusak2 [61]3 years ago

5 0

2(5X-2) (4X-3) is the correct answer

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Evaluate the function

mars1129 [50]

Answer:

g (x) = 3x^2 − 2x + 5

Step-by-step explanation:

8 0

3 years ago

Use the order pairs to find the linear equation in slope intercept form (0,10) & (3,2)

Virty [35]

$y = \frac{-8}{3}x + 10$ is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)$

Substituting the values we get,

$m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}$

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute $m = \frac{-8}{3}$ and (x , y) = (0, 10) in eqn 1

$10 = \frac{-8}{3} \times 0 + c\\\\c = 10$

$Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1$

$y= \frac{-8}{3}x + 10$

Thus the equation of line in slope intercept form is found

7 0

3 years ago

Identify the indicated sum for the geometric series. S7 for 162 − 54 + 18 − 6 + .....

Ulleksa [173]

The indicated sum for the geometric series is 121.5

<h3>How to identify the indicated sum for the geometric series?</h3>

The series is given as:

162 − 54 + 18 − 6 + .....

Start by calculating the common ratio of the geometric series.

This is calculated using

r = -54/162

Evaluate

r = -1/3

The indicated sum for the geometric series is then calculated as:

S = a(1 - r^n)/1 - r

Substitute the known values in the above equation

S = 162(1 - (-1/3)^7)/1 + 1/3

Evaluate the exponent and the sum

S = 162(1 + 1/2187)/4/3

Evaluate the sum

S = 162(2188/2187)/4/3

Express as products

S = 162 * (2188/2187)* 3/4

Evaluate the product

S = 162 * 547/729

Evaluate the product

S = 121.5

Hence, the indicated sum for the geometric series is 121.5