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3 years ago

PLEASE HELP!!!!!!!!

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

First is "given", but we don't have to worry about that

Second is "subtraction property" because we subtract 2/3 from both sides

Third is "subtraction property" for similar reasons as before, but we subtract 3x from both sides

Fourth is "division property" because we divide both sides by -1. Note how the inequality sign flips. This is because we divide both sides by a negative number.

The last would be something along the lines of "simplify" or "reduce"

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What is the solution to this system of linear equations?

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The percent discout is 30% and the sale price is 42% what is the original price

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3 years ago

Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$

4 0

2 years ago

Read 2 more answers

The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to

Yuki888 [10]

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

$T_{5,-0.5}.R_{0.180^{\circ}}(x,y)$

Apply the rule $R_{0,180^{\circ}}$ first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

$T_{5,-0.5}$

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

→ F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

→ G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

→ H"(0, -1.5)

8 0

2 years ago

A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil

Phoenix [80]

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement ) = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement ) = 56 / 380

P( obtaining two blue marbles without replacement ) = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

Learn more about probability here:

brainly.com/question/24756209

#SPJ9

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