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2 years ago

What is the x-intercept of the graph of y=3−5x?

Mathematics

2 answers:

Alona [7]2 years ago

7 0

Answer:

Here is your answer honey

klemol [59]2 years ago

4 0

Step-by-step explanation:

what did it mean to have an x-(axis-)intercept ?

just imagine the function curve gets closer and closer to the x-axis, and then finally intersects it.

that means there is a point on this function that is also on the x-axis.

what are the coordinates of points on the x-axis ?

well, sure, for x any value from -infinity to +infinity is possible.

but what about y ? what values can y have for points on the x-axis ? greater than 0 ? lower than 0 ?

no, if y would have any value different than 0, this point would not be ON the x-axis.

so, we know, the interception point must have y = 0.

and that is what we use in our function equation :

0 = 3 - 5x

5x = 3

x = 3/5

so, at x=3/5 there is the x-interception with the point coordinates (3/5, 0).

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4 years ago

If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?

Darina [25.2K]

Answer:

$n=30$

Step-by-step explanation:

Given expression:

$3^1\times 9^2\times 27^3\times 81^4$

The given expression needs to be simplified to the form $3^n$

Applying the exponents rule to simplify.

$3^1\times 9^2\times 27^3\times 81^4$

Writing all numbers as product of 3.

⇒ $3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4$

Writing each in exponents form.

⇒ $3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4$

Using power of a power rule $[\ (a^x)^y=a^{xy}\ ]$

⇒ $3^1\times 3^4\times 3^9\times 3^16$

Using multiplication rule of exponents $[\ a^x\times a^y=a^{x+y}\ ]$

⇒ $3^{1+4+9+16}$

⇒ $3^{30}$

So we have $3^n=3^{30}$

∴ $n=30$

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3 years ago

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