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Answer:

3) 4x-2y (less than) -8

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.  

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement).  Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded.  Hence, Option 2 may be a valid solution.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1  ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼.  Hence, Option 2 is not a valid answer, as the graph has a positive slope.

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8  (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]  

y < 2x + 4  ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.

Answer:

The result will be 0 (zero)

Step-by-step explanation:

The result will be zero because the product of any number and zero is always zero.

(630+1453)×0

= 2083×0

= 0

Answer:

r = -7

Step-by-step explanation:

Slope = Change in y/Change in x

-1 = r - (-5) / 7 - 5

-1 = r + 5/ 2

-2 = r + 5

r = -7

-Chetan K

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

Answer:D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

__

1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

__

2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

__

3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

_____

Additional comment

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.

Answer:

1. = 5x+3

Step-by-step explanation:

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]

Answer: 5798

Step-by-step explanation:

Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  [tex]^n C_r p^{r} q^{n-r}[/tex]

[tex]p =[/tex]success rate

[tex]q=[/tex] failure rate

[tex]p+q=1[/tex]

[tex]n=[/tex]Number of trials

[tex]r=[/tex] number of success

According to the question,

Total number of trials [tex]'n' =4[/tex]

Number of success [tex]'r' =1[/tex]

[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]

Substitute the value to get the required probability,

Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]

                   [tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]

                   ≈ [tex]0.4[/tex]

Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

Learn more about probability here

brainly.com/question/11234923

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Answer:

They both had the same amount of students watch the reality show.

Step-by-step explanation:

To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.

For Mrs. Thorne's:

36 * (2/3) = 24 students

For Mrs. Lombardo's:

30 * (4/5) = 24 students

24 = 24 so they had an equal amount of students from each class watch the reality show.

Here is ur perfect answer

Answer:

p = [tex]\frac{2q}{2-q}[/tex]

Step-by-step explanation:

p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2(p - q) = pq ← distribute parenthesis on left side

2p - 2q = pq ( subtract pq from both sides )

2p - pq - 2q = 0 ( add 2q to both sides )

2p - pq = 2q ← factor out p from each term on left side

p(2 - q) = 2q ← divide both sides by (2 - q)

p = [tex]\frac{2q}{2-q}[/tex]

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

Answer:

top to bottom,

Yes

No

Yes

Yes

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Answer:

3095.6 ft³

Step-by-step explanation:

Volume cone = 1/3(πr²h)

                      = 1/3(π(13.9)²(15.3))

                      = 1/3(π(193.21)(15.3))

                      = 1/3(2956.113π)

                      = 985.371π ≈ 3095.6 ft³

-Chetan K

Answer: 1st one

Step-by-step explanation:

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

Given that:

f(x) = -2x²-2x+10

f(2) = -2(2)²-2(2)+10

= -2(2*2) - 4 + 10

= -2(4) - 4 + 10

= -8 - 4 + 10

= -12 + 10

= -2 Ans.

Read more:

Similar Question

Given f(x) = 1/2x - 5, find f^-1(x) a. f^-1 (x) = -2x+10 b. f^-1(x) = 2x+5 c. f^-1(x) = 2x-10 d. f^-1(x) = 2x+10...

https://brainly.com/question/11148895?referrer

Answer:

A

Step-by-step explanation:

Remember, the equation of slope-intercept is y=mx+b

We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

[tex]7.1 < t < 7.7[/tex]

[tex]a < x < b[/tex]

In this problem:

Then, the inequality is:

[tex]7.1 < t < 7.7[/tex]

A similar problem is given at https://brainly.com/question/24528399

Answer:

The answer to the is 28 and 40! hope this helps love