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1 year ago

use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

Mathematics

1 answer:

daser333 [38]1 year ago

3 0

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

We are given a quadratic function.
A polynomial equation of degree two in one variable is a quadratic equation.
The function given to us is :
y = x² - 5x - 36
We need to find the solution of the quadratic function.
To find the roots, let y = 0.
x² - 5x - 36 = 0
Use the quadratic formula.
In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
x = [-b±√b²-4ac]/2a
x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
x = (5 ± √25 + 144)/2
x = (5 ± √169)/2
x = (5 ± 13)/2
x = 9 or x = -4

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The surface area of the solid is about ____ inches squared

Dafna11 [192]

Answer:

Surface area of the whole figure $= 320.28inch^2$

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch and Height of cylinder=13 inch

Surface area of the cylinder with one circular face

$=2\pi rh+\pi r^2$

As, $\pi =\frac{22}{7}= 3.14$

$=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2$

Surface area of the cone excluding base:

$=\pi *r*l$

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3 years ago

Sequences and Series precalc multiple choice, will give brainliest.

Gala2k [10]

9514 1404 393

Answer:

False

Step-by-step explanation:

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8 0

2 years ago

find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)

aivan3 [116]

Answer:

Therefore,

$x = 9$

Step-by-step explanation:

Given:

Let,

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units (distance between points L and M)

To Find:

x = ?

Solution:

Distance formula between Two points is given as

$l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Substituting the values we get

$15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}$

Square Rooting we get

$(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21$

As point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

$x = 9$

Therefore,

$x = 9$

3 0

3 years ago

2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17

yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2: