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3 years ago

Which equations are equations for the line shown? Choose all answers that are correct.

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

3 0

The line passes by the points (2,-3) , (-2,5)
so the equation of a line passes by 2 points is (y-y1)/(x-x1) = slope
slope = (y2-y1)/ (x2-x1)
= (5-(-3)) / ( -2-2)
= 8/-4
= -2
then subs. in the 1st equation of the line
(y-(-3)) / ( x-2) =-2
so,, (y+3) = -2(x -2)
so the answer is the 1st one
to make sure ur equation is right subs in the equation by the point (0,1)
if R.H.S = L.H.S
then ur equation is right

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Find the number to add to x^2-18x

pentagon [3]

Answer:

A. add 81; $(x-9)^2$

Step-by-step explanation:

The perfect square formula

$(a-b)^2=a^2-2ab+b^2$

Rewrite expression $x^2-18x$ as follows:

$x^2-2\cdot 9\cdot x$

So, to form a perfect square, $+9^2$ is missed.

When we add $9^2=81,$ we will get

$x^2-2\cdot 9\cdot x+9^2=(x-9)^2$

4 0

3 years ago

Suppose that a hypothesis test is conducted. 12 out of 100 subjects have the necessary qualities. The null hypothesis is that th

Veronika [31]

Answer:

Option A

The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

Step-by-step explanation:

Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.

If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0

though this doesn't mean we accept H0 automatically.

Now, applying this to our question;

The p-value is 0.023 while the significance level is 0.05.

Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

The only option that is correct is option A.

5 0

3 years ago

Read 2 more answers

4x+5y-5z=196 -11x-7y+12z=-211 -8x-9y-z=-236 Solve for x y z

FrozenT [24]

Have you learned matrices yet? I'm going to use that to solve these, please refer to the photos.

I solved the system by using a matrix calculation. The work always needs to be shown and you do that by setting up the matrix like in the first photo and also writing out all your equations. In a TI calculator, to do this you press 2ND-X^-1,GO TO EDIT - [A] - 3×4- now enter the coefficient of the system of equations variables. NOW 2ND MODE- 2ND-X^-1 -GO TO MATH- ALPHA APPS

Now, if you don't know this you may be confuse so after rref([A]) was enter a matrix came up with [1 0 0 -21] in the top row this means x equal -21. So, the next row is y and it came out as [0 1 0 46] so y equals 46 and I'm going to let you figure out what z is by looking at the matrix.

SO... X=-21 Y=46 and Z=-10

Let's Test it

$4x + 5y - 5z = 196 \\ 4( - 21) + 5(46) - 5( - 10) = 196 \\ - 84 + 230 + 50 = 196 \\ 196 = 196$

3 0

3 years ago

Read 2 more answers

4 Solve these inequalities. Show the solutions on the number lines.

Roman55 [17]

Answer:

a) v>4.5

b) w<6.5

a) 0.3 recurring

b) 5/11

6 0

2 years ago

Calculate the product using partial products. 400×45.2= 14.9×100= 200×38.4= 900×20.7= 76.2×200=

DiKsa [7]

Answer:

A. 400*45.2=400*45+400*0.2=18000+80=18080

B. 14.9*100=15*100-0.1*100=1500-1=1490

C. 76.2*200=76*200+0.2*200=15200+4=15204

Step-by-step explanation:

5 0

3 years ago