All categories

2 years ago

Consider this system of equations.

Mathematics

2 answers:

sasho [114]2 years ago

3 0

We are given two functions.

$f(x)=x-4\\g(x)=-x-2$

The point that represents the equation $f(x)=g(x)$ , will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for $x$ .

$f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1$

Now that we are given the x value, we can plug this value back into either equation and solve for the y value.

$f(1)=1-4\\f(1)=-3$

The point of intersection will be $(1,-3)$ .

Hope this helps!

valina [46]2 years ago

3 0

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

You might be interested in

On Monday,it took Helen 3 hours to do a page of science homework exercises.The next day she did the same number of exercises in

Blababa [14]

Answer:

It's 3/2p!

Step-by-step explanation:

Because Helen do the same number of exercises on 2 days, the time to do and the average rate are inversely proportional!

So, if on Monday, Helen's average rate is p then on the next day, her average rate is:

p × 3 ÷ 2 = $\frac{3p}{2}$

=3/2p

Brainliest?

3 0

2 years ago

Gianna skied three times farther than Xavier. Xavier skied 4 miles. How far did Gianna ski

lina2011 [118]

Gianna=3x
Xavier=x
since x=4, than multiply 4 by 3 and you get 12 miles.
Gianna skied 12 miles.

Hope this helped!! :D

3 0

3 years ago

What are the missing operations?

vampirchik [111]

The missing operations in order is division, division, subtraction, addition, addition, and division

8 0

3 years ago

Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Wittaler [7]

Answer:

$y=\frac{9}{4}x-\frac{55}{4}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{2-(-7)}{7-3}$

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

$\frac{9}{4}$

The slope is $\frac{9}{4}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

$2=\frac{9}{4}(7)+b$

$2=\frac{63}{4}+b$

$-\frac{55}{4} =b$

The y-intercept is $-\frac{55}{4}$ .

Now that we know the slope and the y-intercept, we can write the equation:

$y=\frac{9}{4}x-\frac{55}{4}$

6 0

2 years ago

If 14x = ^13√14, what value of x makes this equation true?

Andrews [41]

The value of x is 1/13 (4th choice)

Step-by-step explanation:

${a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }$

If 14^x = ¹³√14, what value of x makes this equation true?

$\sqrt[13]{14} = {14}^{x} \\ \sqrt[13]{14} = {14}^{ \frac{1}{13} }$

So, the value of x is 1/13 (4th choice)

Hope it helpful and useful :)

6 0

2 years ago