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Art [367]
2 years ago
9

Find the equation for the linear function that passes through the points ( see photo )

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

f(x)=\frac{3}{2}x-2

Step-by-step explanation:

step 1

Find the slope m

we have

(-2,-5) and (4,4)

The slope is equal to

m=\frac{4+5}{4+2}

m=\frac{9}{6}

simplify

m=\frac{3}{2}

step 2

Find the equation of the line into slope point form

y-y1=m(x-x1)

we have

m=\frac{3}{2}

(4,4)

substitute

y-4=\frac{3}{2}(x-4)

step 3

Convert to slope intercept form

y-4=\frac{3}{2}(x-4)

y=\frac{3}{2}x-6+4

y=\frac{3}{2}x-2

Convert to function notation

f(x)=\frac{3}{2}x-2

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Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8. What could be Gina’s expression?
Fed [463]
2(2x-4) because when you multiply 2 x 2x it equals 4x. When you multiply 2 x 4 it equals 8. Leaving you with 4x-8
4 0
3 years ago
Which of the following conjectures is false?<br>Please give a counterexample!<br>Thank youuu
MakcuM [25]

Which of the following conjectures is false?

Solution: The false conjecture is:

J. The sum of two odd numbers is odd

Explanation:

F. The product of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The product of two even numbers is:

4 \times 6 = 24

Therefore, the product is also even number. Hence the conjecture is true.

G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

4+6 = 10

Therefore, the sum is also even number. Hence the conjecture is true.

H. The product of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

3\times5 = 15

Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The sum of two odd numbers is:

3+5= 8

Therefore, the sum is not an odd number. Hence the conjecture is false.

6 0
3 years ago
15 POINTSSS ANSWER ASAP PLEASE!!!!! What is the equation, in point-slope form, of the line that is
Gnesinka [82]

Answer:

The Answer is : D

Step-by-step explanation:

First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.

Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).

y-1 = 2 (4-4)

y-1= 2 (0)

y-1= 0

y= 1

In this case D is correct.

TIP*

If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.

4 0
3 years ago
Plz help me well mark brainliest if correct
Ira Lisetskai [31]

Answer:

The answer should be B

6 0
3 years ago
Read 2 more answers
If a equals 4b - 15 what is b
nlexa [21]

Answer:

b = a + 3.75

Step-by-step explanation:

a = 4b - 15

You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides

a (+15) = 4b - 15 (+15)

a + 15 = 4b

Next, divide 4 from both sides. Remember to divide from all terms.

(4a + 15)/4 = (4b)/4

b = (4a)/4 + (15)/4

b = a + 15/4

b = a + 3.75 is your answer

~

7 0
3 years ago
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