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2 years ago

Marshall wants to buy a picture frame. The original price is $15,

Mathematics

1 answer:

lakkis [162]2 years ago

4 0

15x.25=3.75
15-3.75=11.25.

The answer is $11.25

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Question 1

AveGali [126]

Answer:

2.30/7.5

Step-by-step explanation:

4.30-2=2:30

2.5-10=7.5

8 0

3 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 $(x^{98}-1)$ :

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

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

Using the <u>Zero Product Property</u>, 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

1 year ago

Brain bought 2 shirts for 14.50 each and a pair of shoes for 29.99 the sales tax was 6%

Sedbober [7]

Cost of each shirt bought by Brain = 14.50
Then
Cost of 2 shirts bought by Brain = 2 * 14.50
      = 29
Cost of a pair of shoes = 29.99
Total amount spent by Brain before tax = 29 + 29.99
   = 58.99
Percentage of sales tax that needs to be paid = 6%
Amount of sales tax that needs to be [paid = (6/100) * 58.99
   = 353.94/100
   = 3.54
So
the total amount spent by Brain including tax = 58.99 + 3.54
   = 62.53
I hope this is the answer you were looking for.

6 0

2 years ago

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Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She v

Gnom [1K]

Answer:

Step-by-step explanation:

The answer is A

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3 years ago

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