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2 years ago

Write a statement that correctly describes the relationship between these two sequences; 2,4,6,8,10 and 1,2,3,4,5

Mathematics

1 answer:

marta [7]2 years ago

4 0

Answer: Any number in the first sequence is two times the second.

Step-by-step explanation: Mark me as brainiest!

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Help me with these math questions.

Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: $\frac{150}{31}$

Step by step explanation:

log₆(5x + 6) - log₆(x - 4) = 2

log₆ $(\frac{5x+6}{x-4})$ = 2

$(\frac{5x+6}{x-4})$ = 6²

$(\frac{5x+6}{x-4})$ = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

6 = 31x - 144

150 = 31x

$\frac{150}{31}$ = x

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Answers:

a. (-1, -5)
b. up
c. x = -1
d. $\frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}$
e. -2
f. see attachment
g. domain (-∞, ∞) range [-5, ∞)

Explanation:

f(x) = 3x² + 6x - 2

a=3 b=6 c=-2

x = $\frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1$

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

= 3 - 6 - 2

= -5

Vertex: (-1, -5)

x = $\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

= $\frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}$

= $\frac{-6+/-\sqrt{36+24}}{6}$

= $\frac{-6+/-\sqrt{60}}{6}$

= $\frac{-6+/-2\sqrt{15}}{6}$

= $\frac{-2+/-\sqrt{15}}{3}$

x-intercepts: $\frac{-2+/-\sqrt{15}}{3}$

6 0

2 years ago

Higher Order Thinking Lemmy walked 3 1/2 miles on Saturday and miles 4 3/4 on Sunday. Ronnie walked 5 3/8 miles on Saturday. Who

julsineya [31]

Answer:

Lemmy ; 2 7/8 miles

Step-by-step explanation:

Given that :

Distance walked by Lemmy:

Saturday = 3 1/2 miles

Sunday = 4 3/4 miles

Total distance walked by Lemmy:

3 1/2 + 4 3/4

7/2 + 19/4

(14 + 19) / 4

33 / 4

= 8 1/4

Miles walked by Ronnie : 5 3/8

Lemmy walked farther because : 8 1/4 > 5 3/8

Number of distance walked farther than Ronnie :

8 1/4 - 5 3/8

33/4 - 43/8

(66 - 43) / 8

= 23/ 8

= 2 7/8 miles

4 0

2 years ago

a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

The complete question is

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

8 0

2 years ago

5 to 20 1 to 4 7 to 480

ollegr [7]

May you please give us the actually question ?

5 0

2 years ago

X/3 - 1/2 = 10 show work

Viktor [21]

Answer:

x = 63/2

Step-by-step explanation:

x /3 = 21 /2

3 . x/3 = 3 . 21/2

x = 63 /2

8 0

2 years ago