Answer:
Step-by-step explanation:
distribute 2 into (4x+2) and -12 into (x-1)
8x+4=4x-12x+12
combine like terms
8x+4=-8x+12
add -8x on both sides
8x+8x+4=12
16x+4=12
subtract 4 on both sides
16x=8
divide both sides by 16
x=1/2
hope this helps
Answer:
397/1000
Step-by-step explanation:
Mark ‼️ it brainliest if it helps you ❤️
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
ALGEBRA determine the angle measure in the polygon.a. 30°, 150°, 30°, 150°b. 30°,30°,30°,30°c. 45°,225°,45°,255°D. 15°,75°,15°,7
Veseljchak [2.6K]
We know that consecutive angles in a parallelogram are supplementary, as they are consecutive interior angles between parallel lines.
Then, if we add the measure of x° and the measure of 5x° we get 180°. Then, we can write this expression and solve for x:
Then, the angle x has a measure of 30° and the angle 5x has a measure of 5*30=150°.
Answer: a. 30°, 150°, 30°, 150°
