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1 year ago

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Solve the inequality x+1<3/4 and write the solution in interval notation.

1 answer:

Darya [45]1 year ago

3 0

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

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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>Let:</em>

<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

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Who created Sports Illustrated?

IRISSAK [1]

Answer:

henry lucr did

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3 years ago

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Sam earned $130 last week. Jay earned $150 last week. They combined their money and decided to donate 1/5 of their total amount

defon

Jay's claim is false. They would have $156.8 left which is 56% of their original combined total.

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3 years ago

Which relationships could have a negative correlation? Select three options.

Rudik [331]

The relationships that could have a negative correlation are as follows:

the speed of a train and the length of time to reach the destination
number of hours worked and free time
speed of a car and minimum stopping distance

<h3>What is negative correlation?</h3>

Correlation between two variables shows the relationship between the two variables.

A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.

However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.

Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:

the speed of a train and the length of time to reach the destination
number of hours worked and free time
speed of a car and minimum stopping distance

Learn more about correlation at: brainly.com/question/6563788

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Which shows the graph of the solution set of 6x + 4y < 12? On a coordinate plane, a dashed straight line has a negative slope

natta225 [31]

Answer:

C

Step-by-step explanation:

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