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2 years ago

Solve for x and y in the following sequences:

Mathematics

1 answer:

elena55 [62]2 years ago

4 0

Answer:

a) x=4.1,y=6.8 b) x= ,y=

Step-by-step explanation:

a)Tn= a+(n-1)d

a=1.4

d=unknown

to find d use the terms given to solve

using the fourth term

9.5=1.4 + (4 -1)d

9.5= 1.4+(3)d

9 5-1.4=3d

8.1=3d

8.1/3=3d/3

2.7 =d

To find x

Tn=a+(n-1)d

x=1.4+(2-1)2.7

x= 1.4+(1×2.7)

x=1.4+2.7

x=4.1

To find y add 2.7 to x

y=4.1+2.7

y=6.8

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What is 2.3w-7+8.1-3w

stepan [7]

2.0 w-1.1
2.3 w -3w = 2.0 w , -7+8.1 =1.1

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3 years ago

Which is bigger -1.85 or -2.75?

Over [174]

Answer:

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3 years ago

For each pair of functions f and g below, find f(g(x)) and g(f(x)).

natta225 [31]

Answer:

a) f(g(x)) = $\frac{1}{2(\frac{1}{2x} )}$ = $\frac{1}{\frac{1}{x} } }$ = x

g(f(x)) = $\frac{1}{2(\frac{1}{2x} )}$ = $\frac{1}{\frac{1}{x} } }$ = x

f and g are inverses

b) f(g(x)) = x + 3 + 3 = x + 6

g(f(x)) = x + 3 + 3 = x + 6

f and g are not inverses

Step-by-step explanation:

f(g(x)) = $\frac{1}{2(\frac{1}{2x} )}$ = $\frac{1}{\frac{1}{x} } }$ = x

g(f(x)) = $\frac{1}{2(\frac{1}{2x} )}$ = $\frac{1}{\frac{1}{x} } }$ = x

Since f(g(x)) = g(f(x)) = x, then f and g are inverses

f(g(x)) = x + 3 + 3 = x + 6

g(f(x)) = x + 3 + 3 = x + 6

Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses

5 0

2 years ago

The population of Africa is 6.582•10^14 people. The population of Australia is 4.32•10^14. How many times the population of Aust

Ket [755]

So austraia times x=africa=(4.32*10^14)x=6.582*10^14
to find x, we divde both sides by (4.32*10^14) so
x=(6.582*10^14)/(4.32*10^14)
we know that the exponents will cancel out {([10^14]/[10^14])=1} so
x=6.582/4.32
if you do this on a calculator you get
6.582/4.32=1.5=x
so autralia times 1.5=africa

7 0

2 years ago

Please help me out :)

hichkok12 [17]

Answer:

162π ft²

Step-by-step explanation:

The surface area (SA) of a sphere is

SA = 4πr² ← r is the radius

Calculate r from the volume, that is

V = $\frac{4}{3}$ πr³ = 972π

Multiply both sides by 3

4πr³ = 2916π ( divide both sides by 4π )

r³ = $\frac{2916\pi }{4\pi }$ = 729

Take the cube root of both sides

r = $\sqrt[3]{729}$ = 9, hence

SA = 4π × 9² = 4π × 81 = 324π

3 0

3 years ago