Question

Please help- I don't know math very well :(


1. If xI→ 4(x-3)find the output when x = 3

2. 7, 14, 21, 28 find the 10th term

3. ¼, ½, ¾, what is the next term in this sequence

4. For the output y=2x -8 write the function

5. If the first term is 4.5 and the term to term rule is subtract 1, what is the 4th term

Answer 1

#1

$\\ \sf\longmapsto f(x)=4(x-3)$

$\\ \sf\longmapsto f(3)$

$\\ \sf\longmapsto 4(3-3)$

$\\ \sf\longmapsto 4(0)$

$\\ \sf\longmapsto 0$

#2

Here

• a_n=7n

$\\ \sf\longmapsto a_{10}=7(10)=70$

#3

d=1/4

a=1/4

$\\ \sf\longmapsto a_4=a+(n-1)d$

$\\ \sf\longmapsto a_4=\dfrac{1}{4}+(3)(\dfrac{1}{4})$

$\\ \sf\longmapsto a_4=1$

#4

$\\ \sf\longmapsto y=2x-8$

$\\ \sf\longmapsto 2x=y+8$

$\\ \sf\longmapsto f(x)=\dfrac{8+y}{2}$

#5

$\\ \sf\longmapsto a_n=n-1$

$\\ \sf\longmapsto 4.5- 4(0.5)$

$\\ \sf\longmapsto 4.5-2$

$\\ \sf\longmapsto 2.5$

Answer 2

Answer:

2. 70

3. 1

Step-by-step explanation:

2. We can see that the just add 7, from first term to fourth term so

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77

10th term is 70

3. For the following term we can see that the sequence that you have to add 1/4 for every term.

1st term: 1/4

2nd term: 1/4 +1/4= 2/4 or 1/2

3rd term: 2/4 + 1/4= 3/4

4th term: 3/4 + 1/4= 4/4 or 1

4th term is equal to 1

4. For you to right the function, you will decide what will be the name of you function.

y= 2x -8

instead of using y I use f(x) for it to become a function

so the final answer is f(x) = 2x -8