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iren [92.7K]
3 years ago
7

Write a rule for the graph below, and find the slope and y-intercept. Enter your

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

slope =  \frac{4}{1}  = 1 \\ y - intercept = 3 \\  \therefore \:  \: y = 4x + 3

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Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's
enyata [817]

Answer:

The correct answer is "\frac{2}{7}".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

n(A) = 20

B : final A,

n(B) = 13

Didn't start,

n(A^c \cap B^c) = 12

Now,

⇒ n(A \cup B)=35-12

                   =23

then,

⇒ n(A \cup B)=20+13-23

                   =10

hence,

The probability will be:

⇒ P(A \cap B)=\frac{10}{35}

⇒                 =\frac{2}{7}

7 0
3 years ago
10. 10x + 5y = 15<br> y=2x-3
Ivan

Answer:

(i think) 1.5

Step-by-step explanation:

If you replace y with the equation y=2x-3, you get 5(2x - 3)

if you distribute this, it equals 10x - 15

combining like terms 10x + 10x - 15=15 will turn into 20x - 15 = 15

if you add 15 to both sides, -15 will cancel and 15 will turn into 30

20x = 30

divide both sides by 20 which will lead to x=1.5

6 0
3 years ago
Are these correct? If not help me please??
Verizon [17]

Answer: no, no, yes, no, yes, yes

Step-by-step explanation:

x + 1, 2x, these are not equivalent

no

10x, 5(x+5)

5(x+5) distribute the 5 to get 5(x+5) = 5x + 25

5x + 25 is not equal to 10x, so no

no

1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same

yes

2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not

no

15x -1, 3(x+4x) - (3-2)

3(x+4x) - (3-2) combine like terms

3(5x) - (1) multiply through parentheses

= 15x -1

so 15x - 1 = 3(x+4x) - (3-2), these are equivalent

yes

1/2 * (4x-2),2x-1

1/2 * (4x-2) multiply through parentheses to get

2x - 1

so these two are equivalent

yes

3 0
3 years ago
Read 2 more answers
Which rule can be used to describe the growth of the y vales of the function y=12^x over each interval from x=-1 to x=3?
valentinak56 [21]
The function is f(x)=12^x. 

This means that as we get from 1 to 2, we have the following values:

f(1)=12^1=12, and f(2)=12^2=12\cdot12.

Similarly, if we check x=3, we have f(3)=12^3=12\cdot12\cdot12.


We can see that as x changes by 1 (with greater values), y increases by a factor of 12.


Answer: multiply by 12
5 0
3 years ago
Read 2 more answers
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
Read 2 more answers
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