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3 years ago

Solve y = x^2 +11 for x.

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer:

x = ± $\sqrt{y-11}$

Step-by-step explanation:

Given

y = x² + 11 ( subtract 11 from both sides )

y - 11 = x² ( take the square root of both sides )

± $\sqrt{y-11}$ = $\sqrt{x^2}$ , hence

x = ± $\sqrt{y-11}$

Keith_Richards [23]3 years ago

4 0

Answer:

x=square root of y-11 or x=-square root of y-11

Step-by-step explanation:

96% sure

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Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

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2 years ago

Help me pls i want to pass my math class

luda_lava [24]

Answer:

Step-by-step explanation:

You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).

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3 years ago

The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say

creativ13 [48]

Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

<h3>How to solve for volume</h3>

$volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1$

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

Read more on volume here: brainly.com/question/12410983

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2 years ago

Find the slope of the linear equation 2y = -18x + 10

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2 years ago

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The perimeter of a rectangle is 48 inches the length is twice the width what is the length of the rectangle

EleoNora [17]

Answer:

Length: 16

Width: 8

Step-by-step explanation:

W + W + L + L = P

8 + 8 + 16 + 16 = 48

48 = 48

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3 years ago