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2 years ago

Based on the graph what are the approximate solutions to the equation -2x+4=(0.25)x?

Mathematics

1 answer:

konstantin123 [22]2 years ago

5 0

4=2.25x add 2x on both sides
1.78=x subtract 2.25 on both sides

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A pattern exists among the units digit of the posers of 8 as shown in the diagram.

guajiro [1.7K]

Answer:

B) 4

Step-by-step explanation:

We can solve this by observing some pattern.

The powers ending in 4 as unit digit are:

${8}^{2} , {8}^{6} , {8}^{10} , {8}^{14} , {8}^{20} ,...$

The exponents form the sequence:

2,6,10,14,20,...

We need to check if 62 belongs to this sequence.

This is an arithmetic sequence with a common difference of 4 and a first term of 2.

The explicit formula is

$2 + 4(n - 1)$

We equate this to 62 and solve for n.

$2 + 4(n - 1) = 62 \\ 4(n - 1) = 60 \\ n - 1 = 15 \\ n = 16$

Since n is a natural number, 62 belongs to the sequence.

Hence

${8}^{62}$

will have a unit digit of 4.

4 0

2 years ago

What is the standard form that has a center (1,3) and a radius of 9

klasskru [66]

$\huge\boxed{(x-1)^2+(y-3)^2=9^2}$

Start with the standard form of a circle, where $(h,k)$ is the center of the circle and $r$ is the radius.

$(x-h)^2+(y-k)^2=r^2$

Plug in the known values.

$\boxed{(x-1)^2+(y-3)^2=9^2}$

This is the circle's equation in standard form.

4 0

2 years ago

A stadium has 47,000 seats. Seats sell for $42 in Section A, $36 in Section B, and $30 in Section C. The number of seats in Sect

kupik [55]

Answer:

section A holds 23,500 Section B holds 11,750 And Section C holds 11,750

Step-by-step explanation:

Section A is half of the stadium so divide 47,00 by 2 you get 23,300 so that is Section A than b and c are the other half for divide 23,500 by 2 and you get 11,750

5 0

1 year ago

One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd

mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the first line

we have the points

(-3,-1) and (1,-9)

substitute in the formula

$m_1=\frac{-9+1}{1+3}$

$m_1=\frac{-8}{4}$

$m_1=-2$

Find the slope of the second line

we have the points

(1,4) and (5,6)

substitute in the formula

$m_2=\frac{6-4}{5-1}$

$m_2=\frac{2}{4}$

Simplify

$m_2=\frac{1}{2}$

Compare the slopes

$m_1=-2$

$m_2=\frac{1}{2}$

Find out the product

$m_1*m_2=(-2)(\frac{1}{2})=-1$

therefore

The lines are perpendicular

8 0

2 years ago

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I need help with number 8

Mumz [18]

Answer:

If the underlined digit is 5 then it is Fifty thousand (50,000)

8 0

2 years ago

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