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2 years ago

HELP PLS 99 POINTS

1 answer:

5 0

2x²-2x-12=0
simplify it into x²-x-6=0
factored form: (x-3)(x+2)=0
solutions: x-3=0 or x+2=0
x=3 or x=-2
Not sure how to explain "what the solutions mean for the equation". One thing you can say is that the solutions mean the equations have two roots/two zeros: 3 and -2, or the graph of 2x²-2x-12 intersects the x axis at (3,0) and (-2,0).

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Marianna [84]

Solution:

AB = EF
BC = EG = 6x - 8
7x - 19 = 2x + 11
Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

7x - 19 = 2x + 11
=> 7x - 2x = 19 + 11
=> 5x = 30
=> x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

24 + 2x + 11 + 6x - 8
=> 24 + 2(6) + 11 + 6(6) - 8
=> 24 + 12 + 11 + 36 - 8
=> 24 + 12 + 3 + 36
=> 75 units

The perimeter of the triangle ABC is 75 units.

7 0

1 year ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

2 years ago

A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey

Mars2501 [29]

Answer:

<u>142 Grey, 83 white, 76 black</u>

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

3 0

2 years ago

A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the

Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7

4 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

slava [35]

Answer:

91 degrees

Step-by-step explanation:

they are vertical angles which means they are congruent

8 0

2 years ago