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3 years ago

* What's the y-intercept of the following? 4x + 2y = 20

Mathematics

2 answers:

Marysya12 [62]3 years ago

6 0

Answer:

(1, -10) hope this helps

umka2103 [35]3 years ago

6 0

Answer:(0,10)

Step-by-step explanation:

use the slope intercept form y=Mx+b to find the slope and y- intercept b.

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Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following

sineoko [7]

Answer:

Step-by-step explanation:

Given that the random variable X is normally distributed, with

mean = 50 and standard deviation = 7.

Then we have z= $\frac{x-50}{7} is N(0,1)$

Using this and normal table we find that

a) $P(56$

b) When z=0.02

we get

$x=50+0.02(7)=50.14$

c) 90th percentile z value =1.645

90th percentile of X $=50+7(1.645)\\= 50+11.515\\=61.515$

4 0

3 years ago

What is the discriminant of the quadratic equation

kkurt [141]

The discriminant is b^2 -4ac
a = 1
b = -2
c = 4

discriminant = 4 -4 * 1 * 4 =
4 -16 =
-12
I get MINUS 12 as the answer but that isn't one of the choices.

7 0

3 years ago

Y = 2x <br> x + y = −6<br> the answer should be like this (x,y) or ( , )

melisa1 [442]

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

$y=2x\\\\x+y=-6$

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

$x+2x=-6\\\\3x=-6$

Dividing both sides by 3, we get:

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

Now, $y=2x=2\times -2=-4$

Therefore, the solution is (-2, -4)

6 0

3 years ago

Two sides of a triangle measure 7 meters and 9 meters. Which of the following measures could represent the perimeter of the tria

boyakko [2]

Perimeter is sum of all the sides ,

so, perimeter will be 7 + 9 + x = 16 + x

it will be more than 16 for sure

8 0

3 years ago

Pre calculus, trigonometry Given point M the ordered pair 6 times the square root of 3 comma negative 6 comma which is located o

Nikitich [7]

The possible form of the point (6√3, - 6) in polar form are (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

<h3>How to derive the polar form of a point in rectangular form</h3>

In this problem we find a point in rectangular form, that is, a point of the form (x, y). We are asked to find the polar form of the point, that is, a point described by the following expression:

(r, θ)

Where:

r - Magnitude
θ - Direction, in radians

The magnitude is found by Pythagorean theorem:

r =√(x² + y²)

And the direction of the point is described by the following inverse trigonometric function:

θ = tan⁻¹ (y / x)

If we know that (x, y) = (6√3, - 6), then the point in polar form is:

r = √[(6√3)² + (- 6)²]

r = 12

θ = tan⁻¹ (- 6 / 6√3)

θ = tan⁻¹ (- √3 / 3)

θ = 11π / 6 rad / θ = - π / 6 rad

There are two possible solutions: (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

To learn more on point in polar form: brainly.com/question/13103661

#SPJ1

7 0

1 year ago