Evaluate 7c4 a. 6 b. 1 c. 35 d. 840

Mathematics

2 answers:

valentinak56 [21]3 years ago

6 0

Hello,

7C4=7*6*5*4/(4*3*2*1)=35

Answer C

Yuki888 [10]3 years ago

3 0

Answer:

$^7C_4 = 35$

Step-by-step explanation:

We are given the following information in the question:

We have to evaluate:

Formula:

$^7C_4\\^n C_x = \displaystyle\frac{n!}{(n-x)!x!}\\\\^7C_4 = \displaystyle\frac{7!}{(7-4)!4!} =\frac{7!}{3!4!} =\frac{7.6.5.4.3.2.1}{3.2.1.4.3.2.1} = 35$

Thus, the is values is 35

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :