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2 years ago

If f(x) = -4x - 6, then f(0.3) =

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

8 0

Step-by-step explanation:

-4 x 0.3 = -1.2

f(0.3) = -1.2 -6

-1.2 - 6 = -7.2

f(0.3) = -7.2

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Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ...

Mariulka [41]

Answer: $t_{n}=-15+9(n-1)$

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given as:

$t_{n}=a+(n-1)d$

$a =$ first term = -15

$d =$ common difference = -6 - (-15) = 9

$n =$ number of terms

substituting into the formula , we have :

$t_{n} = -15+(n-1)9$

$t_{n}=-15+9(n-1)$

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2 years ago

The height of a man is 1.7 meters.what is his height in centimeters

xxTIMURxx [149]

$m-meters\\cm-centimeters\\\\1m=100cm\\------------\\therefore\\\\1.7m=(1.7\cdot100cm)=\boxed{\boxed{170cm}}$

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2 years ago

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Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

Viefleur [7K]

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

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2 years ago

Which expression is equivalent to m^2-13m-30?

sergiy2304 [10]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

$m^2-13m-30$

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

$(m-15)(m+2)$

If you don't want to apply the method above, you can use the quadratic formula:

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

Where:

$a=1\\b=-13\\c=-30$

When you susbstitute values you obtain that:

$x=15\\x=-2$

Then you can rewrite the equation as $(m-15)(m+2)$

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2 years ago

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amid [387]

Answer:

55M

Step-by-step explanation:

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