MATHEMATICS MIDDLE SCHOOL

Which is an equation of the line that passes through the points (2, 15)and (-1, 3)?
A. y = 4x + 7
B. y = 6x + 3
C. y = 9x - 3
D. y = 12x - 9

Answers

Answer 1
Answer:

Answer:

first option is correct as it satisfies both the points

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Which of the following exponential functions goes through the points (1, 6) and (2, 12)?f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

Answers

Answer

f(x)=3(2)^x

Explanation

To solve this, we re using the standard exponential equation: f(x)=ab^x

Also, remember that f(x)=y

We know that our exponential function goes through the points (1, 6) and (2, 12), so we are going to replace the points in our stander exponential equation and solve for a and b:

For (1, 6)

x=1 and y/f(x)=6, so:

f(x)=ab^x

6=ab^1

6=ab

a=(6)/(b) equation (1)

For (2, 12)

x=2 and y/f(x)=12, so:

f(x)=ab^x

12=ab^2 equation (2)

Replace equation (1) in equation (2) and solve for b

12=ab^2

12=((6)/(b)) b^2

12=6b

b=(12)/(6)

b=2 equation (3)

Replace equation (3) in equation (1) to find a

a=(6)/(b)

a=(6)/(2)

a=3

Now we can complete our exponential function:

f(x)=ab^x

f(x)=3(2)^x

We can conclude that the exponential function that goes through the points (1, 6) and (2, 12) is f(x)=3(2)^x

Which words in the salutation should be capitalized? dear aunt mary, Choose all answers that are correct. A. Dear B. Aunt C. Mary

Answers

Everything should be capitalized. If "dear" is the beginning of a sentence, it should be capitalized. "aunt" and "mary" are a name so they should be capitalized too.
You would capitalize A, B, and C.

Carlos has 30 yards of plastic fencing to set up for a track meet he uses 85 feet of fencing how much fencing does he have left

Answers

There's 90 feet in 30 yards so 90 - 85 is 5
The first thing you need to know is that 1 yard = 3 feet. Therefore if he had 30 yards he had 90 feet of plastic fencing. From there all you have to do is take the 90 feet he has and subtract 85 feet he uses. That means Carlos has 5 feet of fencing left.

Solve 3x2 - x = 10 I need help please!!

Answers

Answer:

3x^2 - x - 10 = 0

3x^2 - 6x + 5x - 10 = 0

3x(x - 2) + 5(x - 2) = 0

(3x + 5)(x - 2) = 0

x = -5/3 , 2

Step-by-step explanation:

mark me brainliest please

3x² - x = 10

3x² - x - 10 = 0

Δ = b² - 4.a.c

Δ = -1² - 4 . 3 . -10

Δ = 1 - 4. 3 . -10

Δ = 121

There are 2 real roots.

x = (-b +- √Δ)/2a

x' = (--1 + √121)/2.3    

x'' = (--1 - √121)/2.3

x' = 12 / 6    

x'' = -10 / 6

x' = 2    

x'' = -5/3

How would you solve this linear system?

Answers

(x, y ) = (- 6, 3 )

Since both equations express y in terms of x, we can equate them

2x + 15 = - (1)/(3) x + 1

( add (1)/(3) x to both sides )

(7)/(3) x + 15 = 1 ( subtract 15 from both sides )

(7)/(3) x = - 14

( multiply both sides by 3 and divide by 7 )

x = ( 3 × - 14 )/7 = - 6

substitute x = - 6 into either of the 2 equations for y- coordinate )

y = ( 2 × - 6 ) + 15 = 3

solution : (x, y ) = ( - 6, 3 )

Y=5-x
4x+2y=10

Solve with steps

Answers

this is how you do it.
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