Which is the following is equivalent to 60^1/2

HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.

mr Goodwill [35]

Answer:

x = 4, x ≠ -1

Step-by-step explanation:

√3x + 4 = x

(√3x + 4)² = x² (Square both sides to get rid of the radical.)

3x + 4 = x²

0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)

0 = (x - 4)(x + 1) (Factor.)

x = 4 x = -1

Now we need to check for extraneous solutions:

√3(4) + 4 = 4

√12 + 4 = 4

√16 = 4

4 = 4

√3(-1) + 4 = -1

√-3 +4 = -1

√1 = -1

1 ≠ -1

-1 is an extraneous solution.

8 0

3 years ago

Algebra 1 Assignment! Help needed as soon as possible! thanks so much to whoever helps! have a nice day

mezya [45]

Answer:

Step-by-step explanation:

go-kart = Gk

Head sock = Hs (what? a sock in the head? :/ what ?? )

Laser tag = Lt

Eq 1 ) Gk + Hs + Lt = 33

Eq 2) 2Gk + Hs + 0Lt = 48

Eq 3) 2Gk + Hs + 2Lt =64

This is a system of equations w/ 3 unknowns and 3 equations so we can solve this. :)

subtract Eq 2 from Eq 3

2Gk +Hs +2Lt =64

-(2Gk +Hs +0Lt =48)

0Gk + 0 Hs +2Lt = 16

Lt =8

so one Laser tag game is 8 dollars.. good... now use 8 in Eq. 1 and 3 for Lt price

Eq 1a) Gk + Hs +8 =33 simplify

Eq 1b) Gk + Hs = 25

Eq 3a) 2Gk +Hs +2(8) = 64 simplify

Eq3b) 2Gk + Hs =48

subtract Eq 1b from Eq 3b

2Gk + Hs =48

-(Gk + Hs =25)

Gk = 23

so one Gk ride costs 23 dollars and plug this into Eq 1

23 + Hs + 8 = 33

Hs = 2

Question 1 ) Gk = 23 Hs = 2 Lt = 8

solve new systems, same as above but with the new prices

Eq 1r ) Gk + Hs + Lt = 18

Eq 2r) 2Gk + Hs + 0Lt = 29

Eq 3r) 2Gk + Hs + 2Lt =35

subtracting 2r from 3r we get 2Lt = 6 then Lt =3 for the new price

plug that into 1r and 3r

Eq 1br) Gk + Hs = 15

Eq 3br) 2Gk +Hs = 29

subtract 1br from 3br

Gk = 14

plug this into 1r

Hs =1

Question 2 ) Gk=14 Hs =1 Lt=3

Question 3) wants 2 Hs and 2 Lt

w/o coupon the activities cost 2 ( 2+8) = 20 dollars

but there is no coupon for 2 of each game

so no, don't buy a coupon.. just play at full price

Hustler side note.. buy two of the 18 coupons and sell the 2 Gk rides to your teacher for 15 dollars each, still a good deal to guarantee a good grade on your Home Work .. (30 total)...... and get your games for just 6 dollars... excellent deal for you :)

8 0

2 years ago

2 (c+7)=2c+14 is an example of an

horrorfan [7]

The given mathematical expression <span>2 (c+7)=2c+14 is an example is</span> an example of Distributive Property.
We can examine the given problem, we have 2(c+7) where 2 can be distributed to both c and 7. Then the result of distribution is 2c and 14 which the same in the opposite side.

8 0

3 years ago

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

$\approx 15.3$

4 0

2 years ago

Type the equation for the graphbelow.Pi/3 2piy = [?] sin([ ]x)

Pie

To find the equation of the graph, what we do is to recognize some characteristics of a sine function:

- Amplitude: The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In this case, the amplitude is 1.

- Period: The period of a sine function is defined as the length of one complete sine wave or one complete cycle of the curve. It can be found using the equation: P=2pi/B.

Why are these characteristics important?

Because the sine function has the following general form:

In this problem, we have A=1 and we know that the period equals 2pi/3. So,

Therefore, the equation of the graph is:

8 0

1 year ago