What is the simplified form of the expression?
(3x^2+5x-8)+(5x^2-13x-5)

Answer:

32•z^4•s^7

20w^9

Step-by-step explanation:

We simply use the multiplication law of indices to work these out.

1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7

2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9

Answer:

Step-by-step explanation: idk ok 1-2 is idk

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

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Answer:

5^18 in index form is the answer :)

Step-by-step explanation:

(5^3)^6

In a polynomial like this the rule is that,

(a^m)^n

= a^m*n (multiply the exponents)

So let a be 5

m be 3 and n be 6

5^3^6

= 5^3*6

= 5^18

Answer:

[tex]h(x)=x-3[/tex]

Answer:

h(x) = x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

Subtract 3 from each side

x-3 = y+3-3

x-3 =y

The inverse is x-3

Answer:

14^2/15

Step-by-step explanation:

70/15 simplifies to 14/3

14/3 X 14/5

= 14^2/15

Answer:

y = 2(x - 1)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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

Here (h, k) = (1, - 3), thus

y = a(x - 1)² - 3

To find a substitute (- 1, 5) into the equation

5 = a(- 1 - 1)² - 3

5 = (- 2)²a - 3 ( add 3 to both sides )

8 = 4a ( divide both sides by 4 )

a = 2

Thus

y = 2(x - 1)² - 3 ← in vertex form

Formula for compound interest: A = P( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

^ = I used this symbol to present that a the number needs to go higher (see picture)

1. 500(1 + 2/100)^2 = 520.2

£520.20

2. 400(1 + 1.75/100)^2 = 414.12

£414.12

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

Answer:

[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Equation:  [tex]4x - 1 = 3x - 5[/tex]

Solve for:

[tex]x[/tex]

Solution:

Step 1: Select relevant approach:

Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]

Step 2: Perform the calculation:

       [tex]4x - 1 = 3x - 5[/tex]

Moving components:

<=>  [tex]4x - 3x = 1 - 5[/tex]

Performing simplification to get [tex]x[/tex]

<=>[tex]x = -4[/tex]

Hope this helps!

:)

Answer:

A. 15

Step-by-step explanation:

HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.

6x + 8 + 2x - 4 = 124

next step is to combine like terms:

8x + 4 = 124

then, subtract 4 from both sides.

8x + 4 = 124

     -4       -4

8x = 120

finally, divide both sides by 8.

8x/8 = 120/8

x = 15

since it is equal to x, 15 is your solution!

Answer:

9

Step-by-step explanation:

You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y

Simplify to get...

16y = 18(y-1)

16y = 18y - 18

-2y = 18

y = 9

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Answer:

So this is the inverse function

Please say ---- solve for the inverse f(x)

instead of  ---- solve for f^-1(x)

x/4 division is the opposite of multiplication

so instead of multiplying by 4 we divide by 4

:)

Thanks for the question, Im working up to get a brainly answer and Master Answerer.

:)

Step-by-step explanation:

Answer:

divide both sides by 2

Step-by-step explanation:

Answer:

[tex]2262.20 in^3[/tex]

Step-by-step explanation:

Given data

height of cylinder h= 20 in

base radius r= 6 in

We know that the formula for the volume of a cylinder is expresses as

[tex]volume= \pi r^2h[/tex]

Substituting our data into the expression we have

[tex]volume= 3.142*6^2*20\\volume= 2262.24 in^2\\[/tex]

To the nearest tenth we have the volume to be

[tex]2262.20 in^3[/tex]

Answer: 2261.9

use volume of a cylinder formula

Substitute Variables into formula

Multiply

Then round to the nearest 10th

Answer: Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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Answer:

70°

Step-by-step explanation:

RSTU is a kite,

Sum of 4 internal angles= 360°

m∠U=m∠S=80

m∠T= 360° - (130°+80°+80°)= 70°

Answer:

25 Paper Clips

Step-by-step explanation:

100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).

100/4 = 25

So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.

The number of 2,500 paper clips like the given paper clip can be made from a straight piece of wire that is 10 meters long.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

We can start by converting the length of the wire to centimeters since the length of the paper clip is given in centimeters:

10 meters = 10,000 centimeters

To determine the number of paper clips that can be made from the wire, we need to divide the total length of the wire by the length of each paper clip.

Number of paper clips = Total length of wire / Length of each paper clip

Length of each paper clip = 4 cm

Number of paper clips = 10,000 cm / 4 cm

Number of paper clips = 2,500

Therefore, the required number is 2500.

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Answer:

The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.

Step-by-step explanation:

Answer:

isoceles right triangle

Step-by-step explanation:

the two lines shows their equal length and its at a 90 degrees angle so its a  isoceles right triangle

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

Answer: $J/3 + $5

Step-by-step explanation:

Here is the complete question:

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did Angela pay in total?

Write your answer as an expression.

Answer:

From the question, we are told that Angela shared a cab with her friends and when they arrived at their destination, they shared equally the $j fare among the 3 of them while Angela also paid a $5 tip.

The total number of friends are =3

The amount of fare = $ J

The fare is equally divided among the friends, therefore each friend will pay: $J/3

Angela paid $5 additional as a tip, therefore, her share will be: J/3 + 5

Therefore, Angela will pay $J/3 + $5

There are four 10 cards in the deck, so P(10) = 4/52 = 1/13

P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.

P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13

Answer:

[tex]255.04[/tex] cm

Step-by-step explanation:

[tex]\pi r^{2} h[/tex]

[tex]\pi \times 3^2 \times h=7211[/tex]

[tex]\pi \times 9 \times h=7211[/tex]

[tex]h=7211 \div 9\pi[/tex]

[tex]h \approx 255.036954[/tex]

Answer:

h = 255.2 cm³

Step-by-step explanation:

V=πr²h

7211 = (3.14)(3)²h

h = 255.2 cm³

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

7x

Step-by-step explanation:

Answer:

x =1

Step-by-step explanation:

7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1

7x+10=18x-1

+1. +1

7x+11=18x

-7x. -7x

11=11x

Divide it all by 11

1=x

X=1

Answer:

I think the function is that she is working.