2 years ago

8t=-32 What Does "t" Equal?

1 answer:

3 0

The first thing to do is to remove the 8 from the left side. You do this by dividing both sides by 8:
t = -32/8
t = -4

The answer is t = -4

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The Johnson twins were born four years after their older sister. This year, the product of the three siblings ages is exactly 34

svp [43]

Answer:

Step-by-step explanation:

Let age of each twin be x

let age of sister be s

So we can write:

x + 4 = s

The product of the 3 siblings ages is 3482 more than sum. We can write:

$s*x*x=3482+(s+x+x)$

This can be simplified as:

$sx^2=3482+s+2x$

We replace s with "x + 4" and solve:

$(x+4)x^2=3482+x+4+2x\\x^3+4x^2=3486+3x\\x^3+4x^2-3x-3486=0\\x=14$

<u>Note:</u> To solve this cubic, we used technology

Thus, we can say the twins are 14 years old

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3 years ago

What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?

Vilka [71]

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\
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-8=-2*6+b\\
-8=-12+b\ \ \ |Add\ 12\\
4=b\\\\
Equation\ of\ line:\\
y=-2x+4.$

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3 years ago

$84 increased by 120 percent

Elanso [62]

$\rm 84+120\% \\ \\ 84+ \frac{12\not0\cdot84}{10\not0}= \\ \\ 84+ \frac{1008}{10}= \\ \\ 84+100,8=\\ \\ \bold{184,8\$}$

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2 years ago

The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?

matrenka [14]

Answer:

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

= 24

sum of numbers without the two 2s

= 24 - 2(2)

= 20

average of other 4 numbers

= 20 ÷ 4

= 5

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