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3 years ago

What is an equation of the line with slope 3 that goes through point (-1/2, 5/2)?

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

The only equation that has 3 as the coefficient of x (a slope of 3) is ...

... d.) y = 3x+4

_____

Happily, it also goes through the given point.

... 5/2 = 3(-1/2) +4

... 5/2 = -3/2 + 8/2 . . . . true

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PLZ HELP NNOOOOOOOWW!! 15 points!!

motikmotik

The midpoint of the line having the endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_{1}+_x_{2}}{2}, \frac{y_{1}+_y_{2}}{2})$
basically average them

so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2

so the midpoint can be found by doing
$(\frac{-3+9}{2}, \frac{7+(-2)}{2})=$
$(\frac{6}{2}, \frac{7-2}{2})=$
$(3, \frac{5}{2})$

the midpoint is $(3,\frac{5}{2})$

4 0

3 years ago

What is the value of tanX? 8/9 9/8 8/15 15/8

spin [16.1K]

Is this the image? If so, sorry I can't do this lol

6 0

3 years ago

Read 2 more answers

In PE class Flynt is choosing 2 members for his dodgeball team. If he can choose 2 individuals from a group of 6 classmates, how

Tatiana [17]

Answer:

C) 15

Step-by-step explanation:

Here we have to use the combination to find the number of possible combinations.

Total number of classmates (n) = 6

We are selecting 2 individuals. So r = 2.

The combination formula nCr = $\frac{n!}{r!(n-r)!}$

Plug in n = 6 and r =2, in the above formula, we get

= $\frac{6!}{2!(6-2)!}$

= $\frac{6!}{2!4!}$

Simplifying the above factorial, we get

= 15

So the answer is C) 15

7 0

3 years ago

Read 2 more answers

Complete parts (a) and (b) using the probability distribution below.

katen-ka-za [31]

Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066)
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D

An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.

7 0

3 years ago

How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove

BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

$\dfrac{9}{n^2+1} =\dfrac{n+3}{4}$

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

$\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\$

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y

with 0 and solve for x. The graph of the equation is attached.

n ≈ 2.38450287

Hence, The equation has one extraneous solution which is n ≈ 2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0

2 years ago