Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1).

10x2 + 8x + 5
25x2 + 8x + 3
10x2 + 8x + 3
10x2 + 8x − 3

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

Answer:

13/14

Step-by-step explanation:

3/7+1/2

LCM = 14

6/14+7/14=13/14

Answer:

6/14 + 7/14 = 13/14

Answer:

31.42 ft.

I dont know if this answer is fully correct because i hate doing circles so sorry if im wrong

Step-by-step explanation:

Answer:

20 is your diameter

Step-by-step explanation:

radius is half of a diameter

Answer:

Younger: 12.78 per item

Older: 9.67 per item

Step-by-step explanation:

Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.

Younger Brother:

8 shirts + 10 shorts = 18 items for $230

$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)

Older Brother:

8 shirts + 4 shorts = 12 items

$116 ÷ 12 items = about 9.67 per item (estimated again)

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines

Answer:

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

Answer:

A. 4

B. 2

C. 3

D. 2

Step-by-step explanation:

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Answer:

its 2 to the 9th power

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

Answer:

2 2/3

Step-by-step explanation:

7-5 =2

2/3+2= 2 2/3

hope this helpes

Step-by-step explanation:

hence the value of y=-9/4and k=-16.

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i

Answer:

200

Step-by-step explanation:

Answer:

DVD Collection: 42 Comedy DVDs, 49 Horror DVDs, 7 Documentary DVDs

Step-by-step explanation:

Answer:

x= -2

x= 14

Step-by-step explanation:

Hope this is useful! have a wonderful night or day, God bless you!

Answer:

329

Step-by-step explanation:

thanks for points have a blessed day

Step-by-step explanation:

329 :) i kinda don't know how to explain

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

Answer:

A system of linear equations can have no solution, a unique solution or infinitely many solutions. ... for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ7

Option b. 0.496

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Answer:

3y + 6

Step-by-step explanation:

3 x y = 3y

3 x 2 = 6

3y + 6

You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!

Answer:

-3

Step-by-step explanation:

slope = Δy / Δx = -6/2 = -3

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺