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3 years ago

Check whether x-1/2 is a factor of 8x3-4x2+10x-5

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct

Step-by-step explanation:

The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors

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Divisibilty by 2 5 and 10

Nataly_w [17]

Step-by-step explanation:

if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10

6 0

3 years ago

Seven increased by one-third of a number

geniusboy [140]

The answer is
7+1/3x

7 0

3 years ago

WILL GIVE BRAINLIEST: If the graph of 2x+3y − 6=0 is perpendicular to the graph of ax − 3y=5. What is the value of a?

Ilya [14]

Answer:

a = $\frac{9}{2}$

Step-by-step explanation:

To find the value of a, find the Slope of both the equations.

For lines to be perpendicular to each other $m_{1}m_{2} = - 1$

For line 1:

2x + 3y − 6 = 0 represent the line in y=mx +c form

3y = -2x + 6

y = $\frac{-2}{3} x$ + $\frac{6}{3}$

y = $\frac{-2}{3} x$ + 2

$m_{1}$ = $\frac{-2}{3}$

For line 2:

ax - 3y = 5

ax = 5 + 3y

ax - 5 = 3y

y = $\frac{ax}{3} - \frac{5}{3}$

$m_{2}$ = $\frac{a}{3}$

Apply the condition of perpendicularity:

$\frac{-2}{3}$ * $\frac{a}{3}$ = - 1

$\frac{2a}{9} = 1$

a = $\frac{9}{2}$

7 0

4 years ago

What is the mean of -18, -14, 11, and 13?

Romashka-Z-Leto [24]

Hello User

To do this we need to first add all of the numbers together.

-18 + -14 + 11 + 13 = -8

The next step is to divide the result by how many pairs of numbers there are.
As you can see there are 4 pairs of numbers

So we divide -8 by 4 to get -2

Therefore -2 is the answer to this problem

I hope I helped :-)

-Chris

6 0

4 years ago

The manufacturer of a smart watch claims that individuals who pay attention to how many steps they take per day will inadvertent

drek231 [11]

Answer:

Hello your question is incomplete attached below is the complete question

answer : 1596 ± 2.861 $\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }$ ------ ( A )

Step-by-step explanation:

I will use excel function to resolve this question

<u>Determine the 99% confidence of interval for the difference in mean number of steps by all people</u>

∝ = 0.01

critical value ( t ) = 2.861 ( = TINV ( 0.01, 19 )

Given that :

S1 = 1580

S2 = 2350

n1 = 20

n2 = 20

Difference in mean = x1 - x2 = 1596

Margin of Error = t * $\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{s^2_{2} }{n_{2} } }$

∴ 99% confidence of interval

= 1596 ± 2.861 $\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }$ ------

8 0

3 years ago