Evaluate if x = 2.5 and y =

Solve the system of eqautions <br> y=x2-5x+7 , y=2x+1

IgorC [24]

Answer:

Step-by-step explanation:

The system of equations is given as

y=x^2-5x+7 - - - - - - - - - - 1

y=2x+1 - - - - - - - - - - - - - - 2

We would equate equation 1 to equation 2, it becomes

x^2-5x+7 = 2x+1

x^2-5x+7- 2x - 1 = 0

x^2 - 5x - 2x + 7 - 1 = 0

x^2 - 7x + 6 = 0

We would use the factorization method of solving quadratic equations.

x^2 - 6x - x + 6 = 0

x(x - 6) - 1(x - 6)

(x - 6)(x - 1) = 0

x - 6 = 0 or x - 1 = 0

x = 6 or x = 1

Substituting both values of x into equation 2, it becomes

For x = 6,

y=2×6 + 1 = 12 + 1 = 13

y = 13

For x = 1,

y=2 × 1 +1 = 2 + 1 = 3

y = 3

3 0

3 years ago

Anyone help me? Solve this problem

strojnjashka [21]

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7 0

3 years ago

A student rides his bike to school with an average velocity of 10 miles per hour. It takes him 12 minutes to get to school. Writ

Dovator [93]

Answer:

The function is $d=10t$

domain is 0 to 0.2 hour.

range is 0 to 2 miles.

Step-by-step explanation:

Given that,

Average velocity = 10 miles/hour

Time = 12 min = 0.2 hour

We need to write a function that models the student's distance from home

Using formula of distance

$d=v\times t$

Where, v = velocity

t = time

d = distance

Put the value into the formula

$d=10t$

This is a function.

We know that,

Domain :

Domain shows the time.

So, domain = 0 to 0.2 hour

Range :

Range shows the distance.

The range at t =0,

Put the value of t in the function

$d = 10\times0=0$

The range at t =0.2 hour

$d = 10\times0=0$

$d=2\ miles$

So. range = 0 to 2 miles

Hence, The function is $d=10t$

domain is 0 to 0.2 hour

range is 0 to 2 miles

6 0

3 years ago

This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two opt

solmaris [256]

<span>This answer assumes that the majority of the 1,500 miles are on the highway. After adding up the total cost for the trip for each car, the Toyota Camry is the better value. Toyota Camry: Base Price: $553.28 Gas Price: $172.72 Total Price: $726.01 Toyota Prius: Base Price: $804.61 Gas Price: $118,75 Total Price: $923.36 Therefore, based on the distance traveled on this trip, the Toyota Camry is the better value. A longer trip would likely turn the Prius into the better value but not for a 1,500 mile trip.</span>

3 0

4 years ago

A snowboarder leaves an 8-foot tall ramp with an upward velocity of 28 feet per second. The function h =− 16t 8t gives the heigh

Marina CMI [18]

Answer:

2 seconds

Step-by-step explanation:

Given that:

h = -16t² + 28t + 8

Using quadratic formula:

$\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$