Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Given the equation 4(3b + 2)² = 64,
dividing both sides of the equation by 4, we have
(3b + 2)² = 16 and getting the square root of both sides,
(3b + 2) = 4 and (3b + 2) = -4
We can solve for b for each equation and have
3b = 2 | 3b = -6
b = 2/3 | b = -2
Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
</em>
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
Answer:
C) The domain represents the weeks that have passed since Samantha started counting the kittens. The domain is all whole numbers.
Step-by-step explanation:
The problem statement tells you the independent variable w represents weeks that have passed. "Domain" refers to values the independent variable may have, so choices A or B make no sense here.
Time is measured continuously, and fractions of a week are possible. So, the domain could be <em>non-negative real numbers</em>. However, the answer choice D is "<em>all</em> real numbers", which includes negative numbers for which the function makes no sense.
The domain "all whole numbers" includes non-negative integers. It is reasonable to restrict the domain to non-negative integer numbers of weeks, so answer choice C is the best option.
