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2 years ago

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

Mathematics

2 answers:

Dimas [21]2 years ago

5 0

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}$

<h3>Step-by-step explanation:</h3>

For the number line refer to the attachment :

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

$\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}$

This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .

<h3>Hence the first graph of the solution set represents the given linear inequality.</h3>

marusya05 [52]2 years ago

5 0

Answer: B is correct

Step-by-step explanation: Tried a on the test, got it wrong, then tried b and got it right.

You might be interested in

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.

5 0

2 years ago

What is the best estimate for the product of 289 and 7

navik [9.2K]

The answer is 296 hope it helps

5 0

2 years ago

Please guys help please

almond37 [142]

Wild guess a I’m only guessing

4 0

2 years ago

A bank offers simple interest loans at an interest rate of 6% per year. How much interest will you pay if you borrow.$1,200 for

kenny6666 [7]

Answer:

$216

Step-by-step explanation:

6% of 1200 = 72

72x3=216

7 0

2 years ago

Which is the inverse of the function f(x)=1/3x+5 ?

PtichkaEL [24]

To find the inverse of a function, switch the x and the y and then solve for the new y. Like this: $x= \frac{1}{3}y+5$ . Subtract 5 from both sides to get $x-5= \frac{1}{3}y$ and then multiply both sides by 3. 3(x - 5) = y. B is your choice.

4 0

2 years ago

Read 2 more answers