I need help with this one please

I Need Help With This One Please

Answers

Answer 1

Answer:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3. b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

From the above question, we are to find the pairs through expansion or factorisation

a) (3x + 2)(9x² - 6x + 4)

b) 9x² - 24xy + 16y²

c) (4x - 3y)²

d) (3x - 2)(9x² + 6x + 4)

e) (3x + 5) (3x - 4)

f) 9x² + 3x - 20

g) 27x³ - 8

h) (3x - 4y)²

a) (3x + 2)(9x² - 6x + 4)

We expand.

3x(9x² - 6x + 4) + 2(9x² - 6x + 4)

27x³ - 18x² + 12x + 18x² - 12x + 8

27x³ - 18x² + 18x² + 12x - 12x + 8

= 27x³ + 8

c) (4x - 3y)²

We expand

(4x - 3y) (4x - 3y)

4x(4x - 3y) - 3y ( 4x - 3y)

16x² - 12xy - 12xy + 9y²

16x² - 24xy + 9y²

d) (3x - 2)(9x² + 6x + 4)

We expand

3x(9x² + 6x + 4) - 2(9x² + 6x + 4)

27x³ + 18x² + 12x - 18x² - 12x - 8

27x³ - 18x² + 18x² + 12x - 12x - 8

= 27x³- 8

e) (3x + 5) (3x - 4)

We expand

3x(3x- 4) +5(3x - 4)

9x² - 12x + 15x - 20

9x² +3x - 20

h) (3x - 4y)²

We expand

(3x - 4y) ( 3x - 4y)

3x(3x - 4y) -4y(3x - 4y)

9x² - 12xy - 12xy - 16y²

9x² - 24xy - 16y²

Hence:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3) b) = h)

9x² - 24xy + 16y² = (3x - 4y)²


Related Questions

Quick I need help plz

Answers

Answer:

It's answer is 1/3 .

Hope it helps have a great time :)

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.

[tex]\frac{3}{10}[/tex]

Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].

Let' check.

If you divide 3 by 10, you will get the answer 0.3.

3 ÷ 10 = 0.3 (It's correct)

You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.

Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]

You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.

jimmy wants to buy socks that cost $20 how much change does he receive if he gives the cashier $100?

Answers

80 dollars is what jimmy would get back

Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?

A.12x + 9.5y ≤ 220 AND x + y ≥ 20
B.12x + 9.5y ≤ 220 AND x + y ≤ 20
C.12x + 9.5y ≥ 220 AND x + y ≤ 20
D.12x + 9.5y ≥ 220 AND x + y ≥ 20

Answers

Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.

2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?

Answers

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

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Which are equivalent expressions?
Check all that are true.

A)8xy = 4x + 4y

B)x + 6x = 7x

C)x + 6y = 6xy

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

Answers

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

i will give brainliest<3

Answers

Answer:

4100

Step-by-step explanation:

If only the mens are 10%, The total is 100.

so we multiply 410 with 10 which gives 4100.

A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?

Answers

Answer:

Step-by-step explanation:

400 ÷ 16 = 25.

16 ÷ 16 = 1.

1 gallon = 25 miles.

275 ÷ 25 = 11

In conclusion, the car used 11 gallons for 275 miles.

Hope this helps!

a store sells tiles for $3.80 per square feet and an additional fee is $200 to install it what is the independent and dependent variable?​

Answers

Answer:

i tkinhk it 1.30

Step-by-step explanation:

Find the ratio :
1/2 hour to 45 minutes​

Answers

Answer:

The answer is 2 : 3.

Step-by-step explanation:

First, you have to convert the units to minutes :

1 hr = 60 min

1/2 hr = 60 × 1/2 = 30 min

Then, you have to simplify the ratio to simplest form :

30 : 45

= (30÷15) : (45÷15)

= 2 : 3

Answer:

To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:

60/2 = 30

So we know half hour are 30 minutes.

Now, we know the ratio 30:45, but we can simplify it, as a fraction.

To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):

30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3

TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW

Answers

I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one

Let n1=50​, X1=10​, n2=50​, and X2=30. Complete parts​ (a) and​ (b) below. a. At the 0.10 level of​ significance, is there evidence of a significant difference between the two population​ proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≠π2 H1: π1=π2 C. H0: π1≥π2 H1: π1<π2 D. H0: π1=π2 H1: π1≠π2 Your answer is correct. Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2. The test​ statistic, ZSTAT​, is nothing.

Answers

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁)  = 50

Given  proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂)  = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

             [tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]

Where

         [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]

        [tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]

Z-statistic

       

      [tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]

     Z =  -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

Final answer:-

There is a difference between the two Population proportions

   

     

       

Which product is positive?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Can have brainliest

Answer:

The 3rd one

Step-by-step explanation:

hope it helps

also can i have brainlist

The triple of the sum of two consecutive numbers is 99. Which is the greater of the two numbers.

Answers

Answer:

I have no idea Im so sorry i tried to understand all i could think of is x+y=99

Write the equation of a parabola containing the point 6,3 with vertex at 5,-3

Answers

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

I need help with this question.

Answers

Answer:

False.

Step-by-step explanation:

Any straight line may have infinite number of points (solutions) lying on it.

Therefor, straight line 'l' can't have exactly two solutions.

Line 'l' will have infinitely many solutions.

Exactly one or two solutions are possible only when two lines or functions intersect each other.

Therefore, answer is false.

help me please i really need help

Answers

Answer:

8

Step-by-step explanation:

Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.

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Answer:

6

Step-by-step explanation:

Carla packed this box with 1-centimeter cubes. What is the volume of the box?

Answers

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

Rewrite 8.24 × 10^6 in standard notation.

824,000
8,240,000,000
82,400,000
8,240,000

Answers

Answer:

The last choice 8,240,000.

Step-by-step explanation:

The exponent 6 tells us there are 6 digits after the first digit (8).

Answer is 8,240,000

Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.

Answers

Answer:

(b) the relationship between two quantitative variables

Step-by-step explanation:

Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.

I need some help please

Answers

Answer:

The awnser is A or -7/5

Step-by-step explanation:

you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.

Hope this helps

Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19

Answers


Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19

Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5

Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+

x
=
x
+
19
+

x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+

5
=
19
+

5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7

Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)

Answer:
x
=
7
and
y
=
26

The equation y = 12x represents a proportional relationship. What is the
constant of proportionality? will give brainliest

Answers

Answer:

D

Step-by-step explanation:

Proportional relationships come in the form

[tex]y=kx[/tex]

and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].

In the equation y = 12x the constant of proportionality is D. 12.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Let y = kx.

k = y/x.

Given, y = 12x.

12 = y/x.

So, the constant of proportionality is 12.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ5

i need help 17 + p > 18

Answers

Answer:

P>1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

P+17>18

Step 2: Subtract 17 from both sides.

P+17-17>18-17

P>1

find an equation in standard form of the parabola passing through the points (0, - 1), (1, 5), (- 1, - 5)

Answers

Answer:

The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]

Step-by-step explanation:

The standard form equation of the parabola is:

[tex]y=ax^{2}+bx+c[/tex]

Using the three points we can find a, b and c.

Let's put the first point (0,-1)into the standard form equation.

[tex]-1=a(0)^{2}+b(0)+c[/tex]

[tex]c=-1[/tex]

Using the second point (1,5) and the value of c found above.

[tex]5=a(1)^{2}+b(1)+c[/tex]

[tex]5=a+b-1[/tex]

[tex]6=a+b[/tex] (1)

Finally using the las point (-1,-5)  

[tex]-5=a(-1)^{2}+b(-1)+c[/tex]

[tex]-5=a-b-1[/tex]

[tex]-4=a-b[/tex] (2)  

Solving the system of equations (1) and (2) we can find a and b.

[tex]6=a+b[/tex]

[tex]-4=a-b[/tex]

Adding both of them we have:

[tex]2=2a[/tex]

[tex]a=1[/tex]

And b = 5.

Therefore, the equation of the parabola in standard form will be.

[tex]y=x^{2}+5x-1[/tex]

I hope it helps you!  

Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)
A. 5/6
B. 3/6
C. 1/2 (wrong)
D. 1/6

Answers

D - 1/6

Convert 2/3 into 4/6 add 1/6 to get 5/6 then subtract 6/6 by 5/6 to get 1/6

Complete this division sentence.
9988 + 23 =
R

Answers

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

line
Passing through (4,5) and perpendicular to
Equation y= -2x+3

Answers

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?

Answers

Answer:

3 milkshakes 3 sundaes

Step-by-step explanation:

First write the equation.

y = total cost

x = cost of sundae

z = cost of milkshake

21=2x+5z

x+z=6 or x = 6-z

substitute in x = 6-z into the first equation

21 = 2(6-z) + 5z

21 = 12 - 2z + 5z

21 = 12 + 3z

subtract 12 from both sides

21 - 12 = 12 - 12 + 3z

9 = 3z

divide both sides by 3

3 = z

so she bought 3 milkshakes.

That means x+z = 6 and z=3 so

x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.

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Answer:

she bought 3 sundaes and 3 milkshakes

Step-by-step explanation:

let's call the amount of milkshakes M.

let's call the amount of sundaes S.

you know that in total, there are 6 children.

so, you can make the following equation:

M + S = 6

if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m

if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S

you also know that Mrs. Browning spent 21$ in total.

so, you can make the following equation:

5m + 2S = 21

this is a system of equations.

using the first equation, you know that M = 6 - S

you can substitute M for 6 - S in the second equation

5m + 2s = 21

5(6 - s) + 2s = 21

30 - 5s + 2s = 21

30 - 3s = 21

30 = 21 + 3s

30 - 21 = 3s

9 = 3s

3 = s

now that you know how many sundaes there are, you can substitute that into the first equation:

m + s = 6

m + 3 = 6

m = 6 - 3

m = 3

You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?​

Answers

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi

Answers

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

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