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3 years ago

Helpppppppppppppppppppppppppp

Mathematics

1 answer:

nikklg [1K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Anne takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 15 inches lo

Alekssandra [29.7K]

$\sqrt{5^2+18^2}$ =

$\sqrt{349}$ =

18.68154...

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3 years ago

Which points on the graph represent values that could be in the table? A B C D

Dafna11 [192]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

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

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3 0

2 years ago

I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!

astraxan [27]

Answer:

y=-3x-14

Step-by-step explanation:

y=mx +c

m= 1/3

perp m= -3

goes through point (6,-4)

sub numbers

7 0

2 years ago

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Eduardwww [97]

I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, the maximum average annual income, in dollars, a lawyer can earn is $567,794

8 0

3 years ago