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3 years ago

I dont understand this

Mathematics

1 answer:

algol133 years ago

8 0

Answer:0,3 for y and 4,0 for x

the second one is 0,6 for y and for the x it will be -3,0

Step-by-step explanation:

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For what power of q is its value 1?

DedPeter [7]

Answer:

0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

q^x = 1

This is solved using logarithms.

x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

x = 0

log(q) = 0 ⇒ q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.

_____

<em>Additional comment</em>

The applicable rule of logarithms is ...

log(a^b) = b·log(a)

4 0

2 years ago

PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)

ExtremeBDS [4]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}$

$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23$

side note: multiplying by the LCD of both sides is just to get rid of the denominators

5 0

3 years ago

Solve This Using The Quadratic Formula: 3x^2+9x-6=0

aivan3 [116]

<h3>Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$ </h3>

Step-by-step explanation:

$3x^2 +9x -6=0$ $x = \frac{-b\pm\sqrt{b^2- 4ac} }{2a}$

$\Leftrightarrow x = \frac{-9\pm\sqrt{9^2- 4.3(-6)} }{2.3}$ here a = 3 ,b = 9 and c= -6

$\Leftrightarrow x = \frac{-9\pm\sqrt{153} }{6}$

$\Leftrightarrow x = \frac{3(-3\pm\sqrt{17}) }{6}$

$\Leftrightarrow x = \frac{-3\pm\sqrt{17}}{2}$

Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$

4 0

3 years ago

An interior angle and an exterior angle are adjacent. The exterior angle measures 113°. What is the measure of the interior angl

Nuetrik [128]

Since all straight lines have an angle of 180 degrees if the exterior angle is equal to 113 degrees than you just subtract 113 from 180 which will equal 67.

5 0

3 years ago

Read 2 more answers

there are 84 species of animals in the metropolitan zoo. 5/12 of the species are from north America.north 1/4. of the species ar

Alenkinab [10]

Answer:

64% are from Noth America

Step-by-step explanation:

84 species in zoo,

5/12- north america

1/4-africa

64% are from Noth America

7 0

2 years ago