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3 years ago

Which of the following rational numbers has the smallest absolute value? -1.5, -4, 8, or 0.5?

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

6 0

The answer is 0.5

you're welcome

Marrrta [24]3 years ago

5 0

-4 por qu si locas en una linea numerica ese seria el que esta mas a la izqerda

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What is the formula for the nth term for the following sequence? 12, 9, 6, 3, ...

Lady bird [3.3K]

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3 years ago

Ingedients to make 16 gingerbread men

11111nata11111 [884]

24 is 16 multiplied by 1.5: 1.5*16=24

that means that we have to multiply all the amounts of the ingredients by 1.5 to keep the same ratio and make more gingerbread:

180 g flour*1.5=270 grams flour
40 g ginger *1.5=60 grams ginger
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3 years ago

What is the value of -17 - (-1) + 2/3 + -1/2?

netineya [11]

Answer:

-95/6 or -15.83 repeating

Step-by-step explanation:

6 0

3 years ago

Can somebody help me solve this ? F(x)=|x|+5

svetlana [45]

X=0 or all real numbers and the minimum value would be 5

4 0

2 years ago

Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

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3 0

2 years ago