All categories

3 years ago

F(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.

yulyashka [42]3 years ago

4 0

Answer:

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

+2x +2x

2x - 2 - 5 + 2x = 1

+7 +7

4x = 8

÷4 ÷4

You might be interested in

Simplify and Evaluate

zalisa [80]

$\dfrac{2^{-1} + 5^{-1}}{10^{-1} - 5^{-2}} =$

$= \dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{5^2}}$

$=\dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{25}}$

$=\dfrac{\frac{5}{10} + \frac{2}{10}}{\frac{5}{50} - \frac{2}{50}}$

$=\dfrac{\frac{7}{10}}{\frac{3}{50}}$

$= \frac{7}{10} \times \frac{50}{3}$

$= \frac{7}{1} \times \frac{5}{3}$

$= \frac{35}{3}$

4 0

3 years ago

Write an expression equivalent to h^6/h^3 in the form of h^m

Pavel [41]

Answer:

$h^3 = h^m$

Step-by-step explanation:

$\frac{h^6}{h^3} = h^m$

6 - 3 = 3

keep the base same, therefore

$h^3 = h^m$

Hope this helps!

3 0

3 years ago

Students love to put ranch dressing on everything, so Elvira needs to keep plenty in stock. The students eat about 2.25 gallons

leonid [27]

In 48 days, they would have consumed 108 gallons, and have 22 left, so yeah. 48 days

5 0

3 years ago

Plsssss ans plssss plssss

miss Akunina [59]

Answer:

a 3² +4² = 25 the factors are 5²

b 8²+6²= 100 the factors are 5²and 2²

c 12²+5²= 169 the factors are 13²

d 8²+15²= 289 the factors are 17²

8 0

3 years ago

Members of a landscaping company built a retaning Wallet.

algol [13]

Answer:

Is this a question. If so I will change my answer

Step-by-step explanation:

3 0

2 years ago