3 years ago

One sixth of a number?

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

One-sixth of a number is four

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Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

2 years ago

Which properties are used to prove that the expressions 5x+x-2 and 6x-2 are equivalent? 5x+x-2 (5+1)x-2 6x-2

sergeinik [125]

Answer:

Associative and Commutative properties

Step-by-step explanation:

7 0

2 years ago

If f(x)=3x+5 and q(x)=0, show that f(x)+q(x)=f(x).

alex41 [277]

Step-by-step explanation:

f(x)=3x+5
q(x)=0

f(x)+q(x)

➜3x+5+0

➜3x+5

➜f(x)

<h3>Hence proved</h3>

8 0

2 years ago

HELP WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER NO EXPLANATION!!! NO GUESSes!!!

Oksi-84 [34.3K]

Answer:

all of them except for compass

Step-by-step explanation:

eeeeerrrr eeeerrr eeeerrrrr

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2 years ago

Find the inverse of the function:<br>f(x) = 3x + 6<br>

natta225 [31]

Answer:

x = -2

Step-by-step explanation:

Pull out like factors :

-3x - 6 = -3 • (x + 2)

Solve : -3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solve : x+2 = 0

Subtract 2 from both sides of the equation :

x = -2

4 0

3 years ago

One sixth of a number?​

One sixth of a number?