Graph y< -2/3x +6 Please help ASAP

What is the equation of this line? 12pts!

Kobotan [32]

We need to find m and b to find in the equation of a line:

y = mx + b
↑ ↑
slope y-intercept

To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
↑ ↑
(x₁, y₁) (x₂, y₂)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-2 - 0)/(0 - 4)

m = (-2)/(-4)

m = 1/2

The slope is positive since the line is going upward from left to right.

Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.

Thus, the answer is C. y = 1/2x - 2.

5 0

4 years ago

PLS HELP ME FAST PLS !!!!!!!!!!!

erastova [34]

Answer:

The Answer is P = (-2.5 , 1 )

Step-by-step explanation:

Let, the point is P(x,y)

then, $x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}$

=> $x=\frac{5*(-1)+ 3*(-5)}{5+3}$

∴ $x=-2.5$

Again, $y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}$

=> $y=\frac{5*7+ 3*(-9)}{5+3}$

∴ $y=1$

Thus, P = (-2.5 , 1 )

6 0

3 years ago

Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The m

svp [43]

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10 s1=4.7

n2=16 s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂² Ha: σ₁²≠σ₂²

The null hypothesis is the variability in concentration does not differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

F = s₁²/s₂²

F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

3 0

3 years ago

What is the length of RS Answer needed ASAP

podryga [215]

Answer:

For sure 34

Step-by-step explanation:

the red lines are the same length to each letter just add those.

8 0

3 years ago

50 POINTS AND MARK BRAINLIEST

givi [52]

Step-by-step explanation:

a) Using the distance formula,

$RS=\sqrt{(2-4)^{2}+(3-4)^{2}}=\sqrt{4+1}=\boxed{\sqrt{5}}\\ST=\sqrt{(4-5)^{2}+(4-0)^{2}}=\sqrt{1+16}=\boxed{\sqrt{17}}\\RT=\sqrt{(2-5)^{2}+(3-0)^{2}}=\sqrt{9+9}=\boxed{3\sqrt{2}}$

b) Using the slope formula,

$m_{\overline{RS}}=\frac{4-3}{4-2}=\boxed{\frac{1}{2}}\\m_{\overline{ST}}=\frac{0-4}{5-4}=\boxed{-4}\\m_{\overline{RT}}=\frac{0-3}{5-2}=\boxed{-1}$

c) The triangle is scalene because each of the sides is of a different length.

4 0

2 years ago