Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
-46
52-16=negative 46 because shes still below sea level
Answer:
x=-29
Step-by-step explanation:
Minus 17 from both sides.
So x=-29
Answer:
x = 1 3/5
Step-by-step explanation:
distribute.
-2.5*4x + (-2.5*-4) = -6
-10x +10 = -6
subtract 10 on both sides
-10x = -6 -10
divide by -10
x = -16/-10
x = 1 3/5
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
