MATHEMATICS HIGH SCHOOL

Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answers

Answer 1
Answer: Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 

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The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24

Answers

Answer:

(2x²+4x-24) in.

Step-by-step explanation:

.
the answer is D you’re welcome

G. r. a. p. h. 24x-6y=18.

Answers

The linear equation 24x-6y=18 can be rewritten in slope-intecept form as y=4x-3. The slope of the graph is 4 and the y-intercept is -3. To graph, begin at the y-intercept and use the slope to locate the next point, then draw a line through these points.

The equation the student wants to graph is 24x-6y=18. To plot this equation, start by solving for y to put this equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To do this, subtract 24x from both sides to get -6y = -24x + 18. Then, divide every term by -6 to yield y=4x-3. So, the slope (m) of the line is 4 and the y-intercept (b) is -3.

Begin graphing by plotting the y-intercept (0,-3) on the graph. From there, use the slope to find your next point by going up 4 units and right 1 unit. Draw a line through these points, and you have your graph.

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24x−6y=18 Step 1: Add 6y to both sides. 24x−6y+6y=18+6y24x=6y+18

Step 2: Divide both sides by 24.24x24=6y+1824x=14y+34

Answer: x=14y+34

What's the value of log2 (1/8) ?

Answers

log_aa^p=p\n------\n\nlog_2 ( (1)/(8) ) =log_28^(-1)=log_2(2^3)^(-1)=log_22^(-3)=-3\n\nAns.\ -3

The correct answer for the value log_(2)(1)/(8)   is equal to -3.

What is Logarithm?

In mathematics, Logarithms are defined a  way of expressing exponents. A logarithm is defined as the power to which a number must be raised to get some other values.

The expression for logarithm of a number is written as ㏒ₓb = y.

Properties of Logarithm:

log_(x) (x^n) = n

The value of log_(2)(1)/(8) can be calculated by recognizing that (1)/(8) is equal to 2 raised to the power of -3.

log_(2)(1)/(8)   = log_(2)(2^(-3))

From the property of logarithm:

log_(2)(2^(-3))

= -3

The value of  log_(2)(1)/(8) is -3.

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Himpunan penyelesaian dari pertidaksamaan | 2x + 1| ≤ 3 adalah.....a. { -1 ≤ x ≤3 }
b. { -2 ≤ x ≤ 2}
c. { -2 ≤ x ≤ 1 }
d. { -1 ≤ x ≤ 1 }
e. { 0 ≤ x ≤ 1 }
Tolong caranya...

Answers

| 2x + 1| \leq3 \n2x+1\leq3\wedge2x+1\geq-3\n2x\leq2 \wedge 2x\geq-4\nx\leq1 \wedge x\geq-2\n-2\leq x \leq1 \Rightarrow C

Final answer:

The solution to the given inequality, |2x + 1| ≤ 3, is the set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c). This is achieved by solving two separate inequalities, 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.

Explanation:

The subject of the question is Mathematics, specifically a High School algebra topic on solving absolute inequalities. The student's question is asking us to solve the inequality |2x + 1| ≤ 3. To do this, we need to create and solve two separate inequalities: 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.

Solving 2x + 1 ≤ 3 gives us 2x ≤ 2 and x ≤ 1 . Solving - (2x + 1) ≤ 3 gives us -2x - 1 ≤ 3 , then -2x ≤ 4 , and finally x ≥ -2 . Combining these answers gives us the solution set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c).

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4/15 as a decimal and percent?

Answers

.26 repeating so .266666666666666666666666666666666666666666666666

the percent is the same as the decimal so roughly 26.66%. 
0.26 repeating
and 26.7 if you round to the nearest tenth or 2.66%

Which expression is equivalent to 0.8a−2(b−0.3a)+b ?

Answers

1.4 a - b expression is equivalent to 0.8a−2(b−0.3a)+b.

Two teaspoons' worth of polyunsaturated fats should be consumed daily. A unit is equal to one measure of liquor or a glass of wine. It is certain that calls for similar pay increases will be heard. When a hiring manager refers to "comparable experience" in a job description, they may be referring to non-paid experience, such as an internship or volunteer work, in place of paid work experience.

0.8a - 2 (b - 0.3a) + b

Expand the expression.

0.8a - 2b - 2(-0.3a) + b

Determine the sign.

0.8a - 2b - 2*0.3a + b

Multiply the monomials.

0.8a - 2b +0.6a + b

Combine like terms.

1.4a - b

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Answer: 1.4a-b

Step-by-step explanation:
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