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Dennis_Churaev [7]
4 years ago
13

What is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics
1 answer:
sleet_krkn [62]4 years ago
7 0
The y-intercept is 1
You might be interested in
Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).
Rudiy27

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

  • so when x = 0, y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

  • so when x = -2, y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

3 0
3 years ago
the sum of 3 consecutive integers is 29 less than 5 times the smallest number. find the three numbers
allochka39001 [22]

x + x + 1 + x + 2 = 5x - 29

Combine like terms.

3x + 3 = 5x - 29

Subtract 3x from both sides.

3 = 2x - 29

Add 29 to both sides.

32 = 2x

Divide both sides by 2.

16 = x

<h3>The first digit is 16.</h3><h3>The second digit is 17.</h3><h3>The third digit is 18.</h3>
6 0
3 years ago
Use the theoretical probability formula to solve the problem. Express the probability as a fraction
serg [7]

Answer:

c. 3 / 13

d. 2 / 13

Step-by-step explanation:

c.

A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.

So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

the number of cards are 52

theoretical probability formula: P =  favorable events/  possible events

P = 12 / 52

P = 3 / 13

d.

there are four aces and four sevens in the deck

so favorable events = 4 + 4 = 8

possible eventas = 52

P = 8 / 52

P = 2 / 13

4 0
3 years ago
I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?
belka [17]

Suppose that the number u were thinking about is x thus :

\frac{1}{4} x +  \frac{1}{2} x = 12 \\

Multiply both sides by 4

4 \times ( \frac{1}{4} x +  \frac{1}{2} x) = 4 \times 12 \\

x + 2x = 48

3x = 48

Divide both sides by 3

\frac{3x}{3}  =  \frac{48}{3  }  \\

x = 16

3 0
3 years ago
Palm Middle School is thinking about changing the flavor of ice cream sold in the cafeteria during lunch. The seventh grade stud
krek1111 [17]

Answer:

What flavors are there?

Step-by-step explanation:

3 0
3 years ago
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