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3 years ago

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

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(-1) + (-7) answer with work shown

lesya [120]

Answer is -8

(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8

4 0

3 years ago

7>-4; subtract 7 from both sides

motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0

3 years ago

What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?

monitta

Answer:

$y=2x-1$

Step-by-step explanation:

Use the slope-intercept formula: $y=mx+b$ where m is slope and b the y-intercept.

$(-2,-5)(4,7)$

Use the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

$\frac{7-(-5)}{4-(-2)}$

Simplify parentheses (negative+negative=positive)

$\frac{7+5}{4+2}$

Simplify

$\frac{12}{6}=2$

2 is the slope:

$y=2x+b$

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

$y=2x+b\\7=2(4)+b$

$7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1$

The y-intercept is -1. Insert into the equation. Change the + symbol to -:

$y=2x-1$

Done.

6 0

3 years ago

If ABC is reflected across the y-axis, what are the coordinates of A?

quester [9]

Answer:

The answer is option A

Step-by-step explanation:

Reflection in the y axis is

(x , y) → ( - x , y)

The coordinates of A are ( 2, -5)

When it's reflected in the y axis it becomes

( - 2 , - 5)

Hope this helps you

4 0

3 years ago

A tourist purchases a car in england and ships it home to the united states. the car sticker advertised that the car's fuel cons

Valentin [98]

<u>Solution-</u>

Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)

1 UK gallon = 4.5459631 lit

1 US gallon = 3.7853060 lit

$\therefore \frac{1 \ UK \ gallon}{1 \ US \ gallon} = \frac{4.5459631}{3.7853060} = 1.2009499$

$\Rightarrow 1 \ UK \ gallon = 1.2009499 \ US \ gallon$

As the fuel consumption rate = 40 miles per gallon

⇒ You need 1 UK gallon of fuel to go 40 miles

⇒ You need 1.2009499 US gallon of fuel to go 40 miles

Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel

⇒ To go 1 mile you will need $\frac{1.2009499}{40} = 0.0300237$

⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel

∴ 22.1574906 gallon of fuel is actually required.

∴ But, what she thinks will require is $\frac{738}{40} = 18.45 gallons$ (As she calculated using UK gallons)

6 0

3 years ago

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1​

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1