All categories

2 years ago

ALGEBRA 1 HW< please help to give explanations

Mathematics

2 answers:

galben [10]2 years ago

7 0

Please refer the attached pictures.

Hope this helps! :D

Ronch [10]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

11x^2 + x^2 = (4x + 8)(3x - 3)
12x^2 = 12x^2 + 24x - 12x - 24
12x - 24 = 0
12x = 24
x = 2

x/3 - x/9 = 6
3x/9 - x/9 = 6
2x/9 = 6
2x = 54
x = 27

6^(x + 9) = 36^x
6^(x + 9) = 6^(2x)
x + 9 = 2x
2x - x = 9
x = 9

4/9 + 1/a = 2/3
1/a = 2/3 - 4/9
1/a = 6/9 - 4/9
1/a = 2/9
a = 9/2

√x + 3 = 6
x + 3 = 6^2
x = 36 - 3
x = 33

1.2m - 0.2 = 3.8 + m

1.2m - m = 3.8 + 0.2
0.2m = 4
m = 4/0.2
m = 20

(x + 12)^2 = 9
x + 12 = ± 3
x = ± 3 - 12
x = - 9, x = - 15

You might be interested in

A store is offering 40% off regular priced items. The amount of discount on an item is $6, What is the regular price of this ite

mote1985 [20]

The answer would be $15

All you need to do is multiply each one by .4 and see which one equals 6.

15 x .4 =6

Hope this helps!

6 0

1 year ago

Read 2 more answers

PLEASE SHOW YOUR WORK!!!<br><br><br><br><br><br> Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y

Marina86 [1]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3^3+14*y-(25*y-13)-(y+7*y-9*y)=0

Equation at the end of step 1

((3³ + 14y) - (25y - 13)) - -y = 0

Pull out like factors :

40 - 10y = -10 • (y - 4)

Equation at the end of step3:

-10 • (y - 4) = 0

STEP4:

Equations which are never true:

Solve : -10 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve : y-4 = 0

Add 4 to both sides of the equation :

y = 4

6 0

3 years ago

What is the initial velocity of the boiling water? H=-16t^2+170t

erastova [34]

Idkfjdjiwkwhdjajajasjjaikajshsiskjdhdjdjsjjsjsjsjsjss

5 0

3 years ago

In order to receive a b in your english class, you must earn more than 350 points of reading credits. last week you earned 120 p

Vlada [557]

120 + 90 = 210 points
350 - 210 = 140 OR
351 - 210 = 141 (if it must be more than 350, you need <em>at least </em>351 points total, or 141 more points, to get a grade B)

4 0

3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

11 months ago