Nigel tried to solve an equation step by step. \qquad\begin{aligned} \dfrac12(2h-4)&=20 \\ 2h-4&=10&\green{\text{Step } 1} \\ 2h&=14&\blue{\text{Step } 2} \\ h&=7&\purple{\text{Step } 3} \end{aligned} 2 1 (2h−4) 2h−4 2h h =20 =10 =14 =7 Step 1 Step 2 Step 3 Find Nigel's mistake.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

28

step-by-step explanation:

because that's the answer

the photograph is photographer and- in the process- ourselves.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.