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cupoosta [38]
3 years ago
13

The sum of two numbers, x and y, is more than 8.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

so your two inequalities would be

x+y>8

and

2x+y<14

we can put both of these into slope intercept form

y>-x+8

y<-2x+14

and now we can graph!

see image attached:

both lines are dotted because it is greater than and less than, not equal to.

slope intercept form is y=mx+b which is y=slopex+y intercept

we can first plot the y intercept and use the slope to find the other points

slope is rise/run

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What is the measure of angle XYZ?
Ierofanga [76]

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

6 0
3 years ago
Statistics how do we determine a percentage
givi [52]
Percent<span> simply means "per hundred" and the symbol used </span>to<span> express </span>percentage<span> is %. One </span>percent<span> (or 1%) is one hundredth of the total or whole and is therefore</span>calculated<span> by dividing the total or whole number by 100. </span>To calculate<span> the </span>percentage<span>difference between two numbers, the same basic calculations are used</span>
7 0
3 years ago
A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
melomori [17]

probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269

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

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

  • an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{8}{52}

⇒ probability = 0.1538

  • a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{(13+4=17)}{52}

⇒ probability = \frac{(17)}{52}

⇒ probability =0.3269

Therefore, probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269
8 0
3 years ago
Read 2 more answers
Given the graph below and the equation y = 4x, determine which function has the greatest rate of growth?
Marizza181 [45]

Answer:

Step-by-step explanation:

A slope of 4 has a greater rate of growth than a graph with a slope of 1

4 0
2 years ago
What is the solutions to the equation?
victus00 [196]
Hi,

Solving:

x^{3} + 3x^{2} - 4x - 12 = 0 \\ {x}^{2} \times (x + 3) - 4x - 12 = 0 \\ {x}^{2} \times (x + 3) - 4(x - 3) = 0 \\ (x + 3) \times ( {x}^{2} - 4) = 0 \\ x + 3 = 0 \\ {x}^{2} - 4 = 0 \\ \\ (results) \\ x1 = - 3 \\ x2 = - 2 \\ x3 = 2

Hope this helps.
r3t40
4 0
3 years ago
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