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1 year ago

Alisha is working

Mathematics

1 answer:

dexar [7]1 year ago

8 0

The number in question is equal to 2 times the temperature in degrees Celsius.

<h3><u>Equations</u></h3>

Since Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:

CF + 32 = X
F + F + 32 + 32 = X
2F + 64 = X
F + 32 = 1/2X
X = 2C

Therefore, the number in question is equal to 2 times the temperature in degrees Celsius.

Learn more about equations in brainly.com/question/26678239

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charle [14.2K]

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2 years ago

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Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

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2 years ago

PLEASE HELP. TAKE AT HOME TEST. if u = LN5 and v = LN2, write LN8/15 in terms of u and v. (8/15 is 8 over 25)

astra-53 [7]

Answer:

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Step-by-step explanation:

We have that

$u= \ln(5)$

and

$v = \ln2$

This implies that;

$5 = {e}^{u}$

and

$2 = {e}^{v}$

Now find and expresion for

$\ln( \frac{8}{25} )$

Which is

$\ln( \frac{8}{25} ) = ln(8) - ln(25)$

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3 years ago

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Goryan [66]

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2 years ago