Answer:
12 mph
Step-by-step explanation:
Step 1: Convert 15 minutes to hours
15/60
1/4
0.25 hours
Step 2: Divide 3 by 0.25 hours
12 mph
Answer: The answer would be 628.24!
Step-by-step explanation:
got it right
y = −5x + 40
y = −40x + 280
y = −40x + 200
y = −5x + 200
The linear equation that best models the relationship between x and y is y = -40x + 200.
The graph of a linear equation is a straight line graph and the function of a linear equation assumes a slope-intercept form y = mx + b
where;
The slope = rise/run
From the graph, we need to rise 200 units to the origin and run 5 units to the horizontal positive axis.
So,
The y-intercept is the region at which the line cuts the vertical axis.
Now, putting it all together and using the slope-intercept form, the equation that best models the relationship between x and y is:
y = -40x + 200
Learn more about the graph of a linear equation here:
#SPJ5
Answer:
This problem has two number solutions. The solutions are x = ±√ 1.500 = ± 1.22474.
Step-bystepexplanation:
Step 1 :
Equation at the end of step 1 :
0 - ((0 - 2x2) + 3) = 0
Step 2 :
Trying to factor as a Difference of Squares :
2.1 Factoring: 2x2-3
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Equation at the end of step 2 :
2x2 - 3 = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : 2x2-3 = 0
Add 3 to both sides of the equation :
2x2 = 3
Divide both sides of the equation by 2:
x2 = 3/2 = 1.500
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 3/2
The equation has two real solutions
These solutions are x = ±√ 1.500 = ± 1.22474
4 hours and 55 minutes
3 hours and 55 minutes
4 hours
24. 9x^2 + 42x + 49
Answer:
(3x+7)^2
Step-by-step explanation: