Is 1,1,2,3 an Arithmetic Sequences
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What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))
Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.
Solve each equation 1) log5-log2x=1 2) 2log(x+1)=5
Find the slope of the line that contains these two points.(2, -5) and (7, -10)
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for the line to be parallel with y=2x-1 it has to have the same gradient which is the 2x part. and to get it to pass through (4,2) it has to be -6
Answer:
B
Step-by-step explanation:
2x – y = 6
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Answer:To solve the equation 4x + 17/18 - 13x - 2/17x - 32 + x/3 = 7x/12 - x + 16/36, we can follow these steps:
1. Combine like terms on each side of the equation.
On the left side, we have 4x - 13x + x/3. Simplifying this, we get -8x + x/3.
On the right side, we have 7x/12 - x + 16/36. Simplifying this, we get -5x/12 - x + 4/9.
2. Get rid of any fractions by multiplying each term by the least common denominator (LCD).
The LCD of 3, 12, and 36 is 36. Multiply each term on both sides of the equation by 36 to eliminate the fractions.
3. Simplify and combine like terms.
On the left side, we have -8x + x/3, which becomes -24x + x^2/3 after multiplying by 36.
On the right side, we have -5x/12 - x + 4/9, which becomes -15x - 3x + 16 after multiplying by 36.
4. Move all terms to one side of the equation.
Combining like terms, we get -24x + x^2/3 = -18x + 16.
5. Multiply the entire equation by 3 to eliminate the fraction.
This gives us -72x + x^2 = -54x + 48.
6. Move all terms to one side of the equation again.
Combining like terms, we get x^2 + 18x - 48 = 0.
At this point, the equation is a quadratic equation. To solve it, we can either factor or use the quadratic formula.
Group of answer choices
2x^2+20x+100
9x^2+24x+16
(7−3x)^2
(5x+4)(5x−4)
(1−2x)(−2x+1)
4^2+6+9/4
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The expressions that are perfect squares are:
2x² + 20x + 100
9x² + 24x + 16
(7 - 3x)²
To determine which expressions are perfect squares, we need to check if they can be written in the form of (a + b)², where a and b are real numbers.
Let's go through each expression:
2x² + 20x + 100:
This expression can be factored as (x + 10)², so it is a perfect square.
9x² + 24x + 16:
This expression can be factored as (3x + 4)², so it is a perfect square.
(7 - 3x)²:
This expression is already in the form (a - b)², so it is a perfect square.
(5x + 4)(5x - 4):
This is the difference of squares, not a perfect square itself.
(1 - 2x)(-2x + 1):
This is the difference of squares, not a perfect square itself.
4² + 6 + 9/4:
Simplifying, we get 16 + 6 + 9/4 = 22 + 9/4.
This expression is not a perfect square.
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Answer:
2x^2+20x+100, 9x^2+24x+16, (1−2x)(−2x+1), (5x+4)(5x−4), (7−3x)^2
all real numbers except x = 0
x<_0
all real numbers
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Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i