Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^2-6 1/4b^2

Answers

Answer 1

Answer:

[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]

Step-by-step explanation:

[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]


Related Questions

What is i2=-1 math test

Answers

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

Answer right and I’ll give you brainliest

Answers

You divide x by y to get the rate of change

PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT

White an equation in slope intercept form whose slope is 10 and y intercept is -3.

Answers

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)


Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?

A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds

Answers

Answer:

11 7/15 (Not listed on paper!)

Step-by-step explanation:

6 12 /15  +  4 4 /6  =

(6 + 4) + (  12 /15  +  4/ 6 )

=  10 +  12 × 2

15 × 2

+  

4 × 5

6 × 5

=  10 +  

24 /30

+  

20 /30

=  10 +  

24 + 20 /30

=  10 +  

44 /30

=  10 +  

44 ÷ 2

30 ÷ 2

=  10 +  

22 /15

=  10 +  

1 7 /15

=  

11 7 /15

(Eleven and seven fifteenths)

[Sorry but all of the answers you gave are all wrong!]

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?

Answers

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?​

Answers

Answer:

No, every student will have 3.2 minutes

Answer:

Each student has approximately 3 minutes and 12 seconds.

Step-by-step explanation:

You divide the total amount of minutes by the total amount of students. 48/15=3.2

After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

help! open the attachment below!

Answers

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.

Answers

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

Fill in the blank to find the y-intercept.
(0,_____)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the y intercept is the point on the graph where the line crosses the x axis

what is the slope (5,7) and (2,-2)​

Answers

Answer:

slope = 3

Step-by-step explanation:

to find the slope you do (y2-y1)/(x2-x1)=m

so we can plug the points into this formula

(5,7)     (2,-2)

x1 y1    x2 y2

-2-7/2-5=m

-9/-3=m

Simplifies to

3=m

let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108

Answers

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Give the factors for the numerator [n] and denominator [d] after reducing.

Answers

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?

Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4

Answers

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Find the simplified product 5/n+1 x n+1/n+3

Answers

5(n+1)/(n+1)(n+3)
Cancel out common factor
Final answer: 5/n+3

Answer: C) 5/n+3

Step-by-step explanation:

the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from the
class?

Answers

Answer:

it would be 8 to 15

Step-by-step explanation:

you would write it as a fraction 8/15. then, you would try and simplify it. because you cant simplify 8/15 anymore, your answer would be 8/15! hope this helps :)

PLEASE HELP!! GEOMETRY!!

Answers

=685.67Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x

Answers

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answers

new length = 30x110% = 33cm
new width = 20x105% = 21cm

original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108

increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%

Find the LCD of the two fractions 1/6 and 1/5

A. 6

B. 5

C. 30

D. 11

Answers

Answer:

C. 30 is the correct answer.

Step-by-step explanation:

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

------------------------

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.

Pls show step-by-step! :)

Answers

Equation formula: y = mx + b
0.10 per minute is the slope
9 would be the y intercept
Equation: 0.10x + 9 < 45

Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time

Answers

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

what is the remainder of 58,511 divided by 21, the quotient is 2,786 R

Answers

Answer:

the remainder is 5. 2,786 R 5

Help me out plz. Struggling :( 5 and 4

Answers

Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2

Answers

The correct answer is The function is even.

To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.

Which conclusion is most appropriate based on the correlation coefficient of the data?

There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.

Answers

Answer:

There is a strong positive relationship, therefore as x increases, y increases

Step-by-step explanation:

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