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bearhunter [10]
3 years ago
8

Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 1

7 ) C. , ( 4, 17 ) D. ( 3, 8 ) D. , ( 3, 8 )
Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

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Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?
ira [324]

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
Solve each inequality. p + 5 &lt; 10 A. p &lt; –15 B. p &lt; 5 C. p &lt; 15 D. p &lt; –5
EastWind [94]

Answer:

B) p<5

Step-by-step explanation:

5 0
3 years ago
The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of
EastWind [94]
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
8 0
3 years ago
700 divided by 12 <br> Please help me
kogti [31]
700/12 equals 58 and 1/3.
6 0
3 years ago
Read 2 more answers
Please help me on this problem
Anna71 [15]

Answer:

The pairs of integer having two real solution forax^{2} -6x+c = 0 are

  1. a = -4, c = 5
  2. a = 1, c = 6
  3. a = 2, c = 3
  4. a = 3, c = 3

Step-by-step explanation:

Given

ax^{2} -6x+c = 0

Now we will solve the equation by putting all the 6 pairs so we get the  following

-3x^{2} -6x-5 = 0 for a = -3 , c=-5

-4x^{2} -6x+5 = 0 for a = -4 , c=5

1x^{2} -6x+6 = 0 for a = 1 , c=6

2x^{2} -6x+3 = 0 for a = 2 , c=3

3x^{2} -6x+3 = 0 for a = 3 , c=3

5x^{2} -6x+4 = 0 for a = 5 , c=4

The above  all are Quadratic equations inn general form ax^{2} +bx+c=0

where we have a,b and c constant values

So for a real Solution we must have

Disciminant , b^{2} -4\timesa\timesc \geq 0

for a = -3 , c=-5 we have

Discriminant =-24 which is less than 0 ∴ not a real solution.

for a = -4 , c=5 we have

Discriminant = 116 which is greater than 0 ∴ a real solution.

for a = 1 , c=6 we have

Discriminant =12 which is greater than 0 ∴ a real solution.

for a = 2 , c=3 we have

Discriminant =12 which is greater than 0 ∴ a real solution.

for a = 3 , c=3 we have

Discriminant =0 which is equal to 0 ∴ a real solution.

for a = 5 , c=4 we have

Discriminant =-44 which is less than 0 ∴ not a real solution.

7 0
3 years ago
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