1. Write your answer using only
positive exponents.
a.
(3x2)(2x-3)

Answer:

Step-by-step explanation:

6j + 7 = 21 - j

Add 'j' to both sides

6j + 7 + j = 21 - j +j

7j + 7 = 21

Subtract 7 form both sides

7j + 7 - 7 = 21 - 7

7j  = 14

Divide both sides by 7

7j/7 = 14/7

j = 2

Answer:

j = 2

Step-by-step explanation:

6j + 7 = 21 - j

6j + j = 21 - 7

7j = 14

j = 14/7

j = 2

Answer: 132

Step-by-step explanation:

First, you write your equation. Let your number be X.

Here is your equation.

(x ÷ 11) + 7 =19

Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12

But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

By definition of logarithms:

[tex]b^y=M[/tex]

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].

The answer would be [tex]b^y=M[/tex].

For some examples, consider:

[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:

[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

ΔABC is similar to ΔCDE

Step-by-step explanation:

Statement                               Reason

DE ║AB                                  Given

∠CDE ≅ ∠CAB                      Corresponding Angles Theorem

∠C ≅ ∠C                                Reflexive property of congruence

ΔABC is similar to ΔCDE      AA postulate

The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).

Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Answer:

D. Systematic Random Sampling

Pls mark as Brainliest

Answer: B: 9.6 x 10 7 km

Step-by-step explanation:

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²

Answer:

Area ≈ 20 square units

Step-by-step explanation:

Using Distance Formula to Find the lengths

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Length XY:

=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]

=> [tex]\sqrt{25}[/tex]

=> 5 units

Length YZ:

=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8 units

Length ZX:

=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]

=> [tex]\sqrt{89}[/tex]

=> 9.4

Perimeter:

=> 5+8+9.4

=> 22.4

Semi-Perimeter:

=> 11.2

Using Heron's Formula to find the area:

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is semi perimeter and a,b and c are side lengths

=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]

=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]

=> Area = [tex]\sqrt{399.9}[/tex]

=> Area = 19.99

=> Area ≈ 20 square units

Answer:

B. 114 deg

Step-by-step explanation:

Since sides AC and BC are congruent, then angles A and B are congruent.

m<A + m<B + m<C = 180

33 + 33 + m<C = 180

m<C + 66 = 180

m<C = 114

Answer:

Step-by-step explanation:

Rolling two consecutive odd numbers when a pair of dice is rolled.

There are 3/6 (1, 3, 5) odd numbers on a fair dice.

3/6 = 1/2

The dice is rolled twice.

1/2 × 1/2 = 1/4

Answer:

Your correct answer is 1/4

Step-by-step explanation:

The numbers 1, 3, and 5 are all odd numbers on a fair dice.

3/6 = 1/2

The dice will be rolled 2 times.

1/2 × 1/2 = 1/4

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

-1/9

Step-by-step explanation:

- (3^-5) (3^3)

Apply the law of exponents.

- 3^(-5 + 3)

Add the exponents.

- 3^(-2)

Evaluate.

= - 1/9

Answer:

A

Step-by-step explanation:

(3^-5)(3^3)

=3^-5+3

=3^-2

=1/3^2

=1/3×3

=1/9

=-9

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

The measure of each individual angle will be of 90°

A quadrilateral is a 2D figure which has 4 sides.

According to the given question a square is dilated by a factor of 2.

Suppose the side of the original square was x cm.

∴ We know the area of he square will be side² which is

= (x)²

= x².

Now the square is dilated by a factor of 2.

∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².

But the measure of each individual angle will be same and they are all of 90°.

learn more about quadrilateral here :

https://brainly.com/question/13805601

#SPJ2

Subtract the percent of getting odd from 100 percent.

100 - 62 = 38%

Answer:

40cm^2

Step-by-step explanation:

becuase since all the sides of the square is equal, when you add it up, you will get 40 as your answer

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Answer:225

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]10+6(-9-4x)=10(x-12)+8[/tex]

[tex]10-54-24x=10x-120+8[/tex]

[tex]-44-24x=10x-112[/tex]

[tex]-44=34x-122[/tex]

[tex]78=34x[/tex]

[tex]x=2[/tex]

Answer:

P ( not win) =  (m-l) / m

Step-by-step explanation:

If there are m tickets and l are winners

m-l are not winners

P( not winning) = non winners/ total

                              (m-l) / m

Answer:

Step-by-step explanation:

P ( not win) =  (m-l) / m

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576