Answer:
0.8333
Step-by-step explanation:
2/3 + x
x + 2/3
x + 2/3 = 3/2
x + 2/3 - 3/2 = 0
2/3 - 3/2 = 4/6 - 9/6 = - 5/6
x - 5/6 = 0
use linear function
f(x) - ax + b
f(x) = x - 5/6
a = 1
b = - 5/6
x- 5/6= 0
x = 5/6
x = 0.8333
27- It goes down 24 points.
28- 12, just divide 60 by 5
PLEASE BRAINLIEST
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Answer:
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
h = hours
Step-by-step explanation:
the distance that they traveled in kilometers, d, can be modeled by
d(t) = 97.8t
where t is the time in hours
They traveled a total of 478 hours.
Distance traveled d(t)
d(t) = 87.8(478)
d(t) = 41968.4
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
Answer:
b = 10
Explanation:
Lets start by combining like terms (b):
3/2b + 1/5b
to combine these fractions you must get them to both have the same denominator:
3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator
1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator
15/10 + 2/10 = 17/10
17/10b = 17
Now we want to get the b to be by itself, so lets first multiply both sides by 10:
17b = 170
Now lets divide both sides by 17:
b = 10
Hope this helped!
