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Anni [7]
3 years ago
15

13. Solve for y: 39x – 3y = 21

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
39x-3y=21
-3y=21-39x
(subtract both sides of the equation by 39x and divide both sides by -3)
y=-7+3x : would be the equation for y.
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Which are the solutions of the quadratic equation x^2=-5x-3
frutty [35]
The correct answer would be \frac{-5 +/-  \sqrt{13} }{2}

In order to solve for this you must first get the equation equal to 0. 

<span>x^2=-5x-3 ----> add 5x to both sides. 
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c. 

a = 1 (because it is the coefficient to x^2)
b = 5</span> (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation. 

\frac{-b +/-  \sqrt{b^{2} - 4ac } }{2a}

\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}

\frac{-5 +/- \sqrt{13} }{2}

And those would be your two answers.
5 0
3 years ago
Find the measure of the inscribed angle.
igor_vitrenko [27]

Answer:

  • 41°

Step-by-step explanation:

<u>Measure of the inscribed angle is half the arc measure:</u>

  • x = m∠ABC = 1/2mAC
  • x = 1/2(82°) = 41°
4 0
3 years ago
f(x)=1x−2+4 and g(x)=1x+3+6 . Select from the drop-down menus to correctly complete the statement. You can get the graph of func
liubo4ka [24]

<em>You can get the graph of function g by taking the graph of function f and shifting it 7 units to the left, and by shifting it 7 units up.</em>

<h2>Explanation:</h2>

We have the following functions:

f(x)=1x-2+4 \\ \\ g(x)=1x+3+6

But we can rewrite this functions as:

f(x)=1x-2+4 \rightarrow f(x)=x+2 \\ \\ g(x)=1x+3+6 \rightarrow g(x)=x+9

Or:

g(x)=(x+2)+7

Recall that for vertical shifts:

h(x)=f(x)+k \\ \\ \bullet \ if \ k>0 \ f(x) \ is \ shifted \ k \ units \ up \\ \\ \bullet \ if \ k

From this, we know that:

  • <em>We can get g(x) by </em><em>shifting the graph of f(x) 7 units upward</em>

Recall that for horizontal shifts:

h(x)=f(x+k) \\ \\ \bullet \ if \ k>0 \ f(x) \ is \ shifted \ k \ units \ to \ the \ left \\ \\ \bullet \ if \ k

From this, we know that:

  • <em>We can get g(x) by </em><em>shifting the graph of f(x) 7 units to the left</em>

<em></em>

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
Last Saturday,the MoviePlex theater sold 1,456 tickets.The theater sold 6 times as many regular price tickets as it sold discoun
Andrews [41]

Earl is incorrect

let x be the number of discount tickets sold

then the number of regular tickets sold is 6x

the total tickets sold is 1456, thus

x + 6x = 1456

7x = 1456 ( divide both sides by 7 )

x = 208

number of discount tickets sold = 208

\frac{1456}{6} ≠ 208

but \frac{1456}{7} = 208

Earl is incorrect , dividing by 7 gives the amount sold


7 0
4 years ago
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.
Tanya [424]

Answer:

(0.5, 3)

Step-by-step explanation:

(x, y), so x=0.5books

and y= 0.5books * 6ounces per book = 3 ounces

so x= 0.5 and

y= 3

the correct ordered pair is (0.5, 3)

7 0
3 years ago
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