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1 year ago

Simplify f(x+8)=(x+8)^2+7(x+8)+1

Mathematics

2 answers:

posledela1 year ago

7 0

Answer

f(x + 8) = x^2 + 23x + 121

aalyn [17]1 year ago

4 0

Answer:

f(x + 8) = x² + 23x + 121

Step-by-step explanation:

f(x + 8) = (x + 8)² + 7(x + 8) + 1

f(x + 8) = x² + 16x + 64 + 7x + 56 + 1

f(x + 8) = x² + 23x + 121

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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

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Find the next three terms in this sequence: 5120, 1280, 320, 80, ...

dimaraw [331]

This seems to be dividing by 4, so the next numbers are 20, and then 5. If there is a 3rd, it's 1.25

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Marina CMI [18]

We can use the sum of an aritmetic sequence
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$S=\frac{n(a_1+a_n)}{2}$
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there are 100 terms so n=100

so the sum is $S=\frac{100(1+100)}{2}$
$S=(50)(101)$
S=5050
now you want us to divide by 10
5050/10=505

fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up

answer is 505
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