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3 years ago

What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

Distribute 2 to (x + 6) and 3 to (x-4)

Step-by-step explanation:

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CAN U SOLVE THIS

balandron [24]

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

Final answers:

A) y = -3x - 2
B) y = -3x + 17

8 0

3 years ago

36% of the notes in Mr Lim's wallet are ten-dollar notes. The number of two-dollar notes is 2/3 of the number of two-dollar note

Nikitich [7]

For now I don't know the answer to this problem of yours.

6 0

4 years ago

What is the function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, a

MariettaO [177]

Given:

The parent function is $f(x)=x^2$

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

$y=f(x+c)$

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

$f(x)=(x+9)^2$

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

$y=cf(x)$

where $c>1$

Hence, to stretch the graph vertically by a factor of 4, we have;

$f(x)=4(x+9)^2$

Shifting 5 units up:

The rule to shift the graph c units upward is given by

$y=f(x)+c$

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

$f(x)=4(x+9)^2+5$

Therefore, the function $g(x)=4(x+9)^2+5$ is created from the graph $f(x)=x^2$ by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is $g(x)=4(x+9)^2+5$

5 0

3 years ago

Pleaseee i need help

algol [13]

Answer:

Step-by-step explanation:

5 0

3 years ago

13.15km > or < 1500m

Sergio [31]

--------------------------------
Convert km to m :
--------------------------------
13.15km = 13150m

--------------------------------
Compare :
--------------------------------
13150m > 1500m
13.15 km > 1500m

6 0

4 years ago