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2 years ago

Given the function: f(x) = 7x + 8. Find the value of y when x = -6.

Mathematics

2 answers:

MrRa [10]2 years ago

7 0

F(x)=7x+8; x=-6
f(-6)=7(-6)+8
f(-6)=-34

tekilochka [14]2 years ago

4 0

Answer:

-34

Step-by-step explanation:

7x + 8

7(-6)+8

-42+8

-34

Have a beautiful day! v(⌒o⌒)v

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What is the justification for the first step in proving the formula for factoring the sum of cubes?

Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

$a^3+b^3 = (a+b)(a^2-ab+b^2)$

You have to start from $(a+b)(a^2-ab+b^2)$ and end in a³+b³. On your first step, you need to use the distributive property.

$(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)$

This is equal to

$a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3$

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

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3 years ago

Solve for x. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necess

Butoxors [25]

Answer:

x= 16.6

Step-by-step explanation:

The circle is unnecessary. You can just use Pythag Theorem

9^2+14^2= c^2

81 + 196 = 277

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2 years ago

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2 years ago

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3 years ago

Read 2 more answers

An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $240, with a standard de

elena55 [62]

Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

$P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })$

$= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})$

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

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2 years ago