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harina [27]
3 years ago
7

Which of the following is the solution to the inequality below? 9-3x>2(x-3)

Mathematics
1 answer:
Inessa [10]3 years ago
5 0
9 - 3x > 2(x - 3)
9 - 3x > 2x - 6
Subtract 2x from both sides.
9 -5x > -6
Subtract 9 from both sides.
-5x > -15
Divide both sides by-5.
x < 3
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The lines shown below are perpendicular. If the green line has a slop of 2/5, what is the slope of the red line?
aivan3 [116]

The slope of the red line that is perpendicular to the green line is: -5/2.

<h3>What are the Slope Values of Perpendicular Lines?</h3>

When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.

<h3>What is the Negative Reciprocal of a Number?</h3>

If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.

Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.

Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.

Negative reciprocal of 2/5 is -5/2.

Therefore, the slope of the red line is: -5/2.

Learn more about slope of perpendicular lines on:

brainly.com/question/1362601

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5 0
1 year ago
g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven
Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32

Hence, the required probability is 0.32.

4 0
3 years ago
When it comes to reducing that’s where I start having trouble for example 10/13x1/15= 10/65 but 10/65 not in lowest terms so I h
arlik [135]

Answer:

Step-by-step explanation:

Let's use your example as a starting point.  <em>Determine whether the same number will divide each 10 and 65 evenly</em>.  In this case, the answer is yes, and the number is 5.  10/5 = 2, and 65/5 = 13.  Thus, the fraction in lowest terms is 2/13.

6 0
2 years ago
A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What
Temka [501]

Answer:

96 sq. cm.

Step-by-step explanation:

A "kite" has 2 diagonals, which are the "width" and "height" of the kite.

Using diagonals, the area of a kite is given by  A=\frac{pq}{2}

Where

A is the area

p,q are the width and height, respectively

From the problem given, p is 12 and q is 16, so the area is:

A=\frac{pq}{2}\\A=\frac{(12)(16)}{2}\\A=96

Thus, the area is 96 sq. cm

5 0
2 years ago
Read 2 more answers
I need help with #29 I really don't understand it (picture included)
Katena32 [7]
4x+4(3)+4(2)=y
4x+20=y
X equals the amount it cost for each ticket which is unknown. Y equals the total cost. Because the amount of the food is provided, it can be calculated unlike the tickets which is just left at 4x. The work for the snacks are upwards. Its mostly substitution.
6 0
3 years ago
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