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3 years ago

The first term of an arithmetic sequence is 8. The 7th term is 38. What is the common difference?

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

Step-by-stepidf explanation:

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F(x)=7x^1/2, find f(x)

FrozenT [24]

Answer:

x=2y/7

Step-by-step explanation:

y=7x^1/2

7/2x=y

7/2x/7/2=y/7/2

4 0

2 years ago

Please help me with this math question

scZoUnD [109]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}$

$\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.$

$\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}$

6 0

3 years ago

Multiply (2x-5)(3x2-4x+2)

WITCHER [35]

Answer:The answer is 183, hope I helped.

8 0

2 years ago

The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +

CaHeK987 [17]

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

3 0

2 years ago

Solve for q.<br><br> 3/5 = q/10<br><br> q=?

Helga [31]

Simply the equation by using cross-multiplication, you get 30=5q
Then you swap sides of the equation, you get 5q=30
Then you divide both sides of the equation by 5
Your answer is q=6

4 0

2 years ago