MATHEMATICS HIGH SCHOOL

Choose the correct product of (9x − 5)(9x + 5).81x2 + 90x + 25
81x2 − 25
81x2 + 25
81x2 − 90x + 25

Answers

Answer 1
Answer: Hi,
(a+b)(a-b=a²-b²
Thus (9x)²-5²=81x²-25
Answer 2
Answer:

Answer:

The Answer is B

Step-by-step explanation:

(9x−5)(9x+5)

=(9x+−5)(9x+5)

=(9x)(9x)+(9x)(5)+(−5)(9x)+(−5)(5)

=81x2+45x−45x−25

=81x2−25    

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A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.

Answers

Answer:

After 7 months months the population of both the town will be equal.

Step-by-step explanation:

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

when the population of both of the towns are same,then

If a pair of parallel lines are rotated, which is true?A) The lines remain parallel only if rotated 180°.
B) The lines remain parallel only if rotated 360°.
C) Rotated parallel lines always remain parallel lines.
D) Rotating parallel lines result in perpendicular lines.

Answers

Answer:

C) Rotated parallel lines always remain parallel lines.

Step-by-step explanation:Rotated parallel lines remain parallel lines.

Rotation is a rigid transformation, so the lines remain parallel.

Answer:

c

Step-by-step explanation:

rotated parallel lines remain parallel lines

Shirley received $10 for her allowance. I went to the store to buy journaling supplies. She bought a pen for $1.58 and a notebook for $3.75. How much change did she get from her $10 bill

Answers

Answer:

4.67

Step-by-step explanation:

What is the equation of a parabola whose vertex is (-4,7) and whose graph is 1/2 as wide as y=x^2

Answers

The\ vertex\ form:y=a(x-h)^2+k\n\nvertex\ (h;\ k)\to(-4;\ 7)\n\nthen:y=a[x-(-4)]^2+7=a(x+4)^2+7\n\ngraph\ is\ half\ as\ wide\ as\ y=x^2\ then\ a=2\n\nAnswer:y=2(x+4)^2+7\n\ny=2(x^2+8x+16)+7=2x^2+16x+39

Solve the following inequality using the algebraic approach:5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4

Answers

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

To learn more about the inequalities visit:

brainly.com/question/20383699.

#SPJ2

Answer:

b. x less-than StartFraction 10 Over 3 End fraction

Simplify $\frac{x+1}{3}+\frac{2-3x}{2}$. enter your answer as a single fraction.

Answers