Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32

Answer:

Step-by-step explanation:

a. 0.04... 4/100... 0.04

b. 4.25... 4 25/100... 4.25

c. 4... 4/100... 0.04

Answer:

1a)0.0004; 1/2500

1b)0.0425; 17/400

1c)0.04; 1/25

2a)0.5; 50%

2b)0.8; 80%

2c) 3; 300%

3a)68.2%; 5/8

3b)0.45%; 9/2000

3c)170%; 17/10 or 1 7/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use PEMDAS

First you do the multuplication of

1/6*(-5/3)=-5/18

Next you do the addition

5+(-5/18)= 90/18-5/18= 85/18

Answer:

0.125

Step-by-step explanation:

1/8=0.125

9514 1404 393

Answer:

  -108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

  [tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]

_____

Alternate solution

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

  [tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]

Then the 4th term will be ...

  [tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]

Answer:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Step-by-step explanation:

Given

[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]

[tex]Beverage = \{Coffee, Tea\}[/tex]

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Answer:

[tex](4,5)\ or\ x=4,y=5[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\[/tex]

[tex]Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)[/tex]

Answer:

The solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}[/tex]

so

[tex]y+x=9[/tex]

[tex]-[/tex]

[tex]\underline{y-2x=-3}[/tex]

[tex]3x=12[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}[/tex]

solve 3x=12 for x

[tex]3x=12[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

[tex]x=4[/tex]

[tex]\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4[/tex]

[tex]y-2\cdot \:4=-3[/tex]

[tex]y-8=-3[/tex]

Add 8 to both sides

[tex]y-8+8=-3+8[/tex]

[tex]y=5[/tex]

Thus, the solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Answer:

please be more specific in your answer.

Step-by-step explanation:

i know that if it has a positive y coordinate then it would mean it has to be above the x-axis but thats all i can tell you from this.

Given:

Table of values.

To find:

The equation in point slope form.

Solution:

From the given table it is clear that, the relationship is linear because the rate of change is constant because if x-value increases by 2 then y-values increases by 16.

Consider any two points from the table, i.e., (2,16) and (4,32).

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{32-16}{4-2}[/tex]

[tex]Slope=\dfrac{16}{2}[/tex]

[tex]Slope=8[/tex]

The point is (2,16) and the slope is 8, so the point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-16=8(x-2)[/tex]

Therefore, the relationship is linear and point slope form is [tex]y-16=8(x-2)[/tex].

Answer:

y - 16 = 8(x - 2)

Answer: 10% of 65.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

Answer:

Correct answer is 8

2b aka 2(8) aka 16

Step-by-step explanation:

Answer:

31°

Step-by-step explanation:

90° - 59° = 31°

31° + 59° = 90°

Answer:

5x + 2m + 11

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(2m + 7) + (5x + 4)

Step 2: Simplify

Answer: 2000

Step-by-step explanation:

The following can be gotten from the question:

Principal = Unknown

Rate = 6%

Time = 6 years.

Interest = 720

Note that: Interest = PRT / 100

720 = (P × 6 × 6) / 100

720 = 36P / 100

720 × 100 = 36P

72000 = 36P

Principal = 72000 / 36

Principal = 2000

The amount that he borrowed is 2000.

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

Answer:

6.5 days

Step-by-step explanation:

106 - 80 =26

26/4= 6.5 days

Answer:

for 80cm

1 =4 cm

x=80cm

4 cmx=80 cm

4 cm. 4 cm

x=20 days

Step-by-step explanation:

1 is equal to 4cm

there x is equal to 80cm

cross multiply

then divid though by 4 because it has letter x

and finally you 20 days as your answer.

Answer:

10

I did the calculations

Answer:

m=3/2

Step-by-step explanation:

Answer:

[tex] \huge\frac{ \sqrt{6} }{ \sqrt{5} } = \frac{ \sqrt{30} }{5} [/tex]

Answer:

x= 5.9

Step-by-step explanation:

Answer:

A straight line passing through the origin

Step-by-step explanation:

A proportional relationship will have a particular quantity being related to another

For example, the relationship might be inverse or direct

In this case, we can have a straight line graph that passes through the origin

A straight line graph that passes through the origin would show the proportional relationship as it has no slope whatsoever

couldn't be me

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Complete Question

Mr Brown has 2 children are going to london by train

1 adult costs £24 and child ticket costs 12

The Family Railcard offers:

1/3 off adults tickets and 60% off child ticket

What is the total cost of tickets when Mr Brown uses the Family Railcard

Answer:

£25.60

Step-by-step explanation:

From the question:

1 adult costs £24

The Family Railcard offers:

1/3 off adults tickets.

Hence:

1/3 × £24 = £8

The cost for Mr Brown = £24 - £8

= £16

Child ticket costs £12

The Family Railcard offers:

60% off child ticket

Hence = 60% × £12

= 60/100 × £12

= £7.2

The cost for 1 child = £12 - £7.2

= £4.8

The total cost of tickets when Mr Brown uses the Family Railcard is:

Cost for Mr Brown + Cost for his 2 Children

£16 + 2 × £4.8

£16 + £9.6

= £25.60

Answer: 13m

Step-by-step explanation:

A^2+ B^2= C^2

5^2+ 12^2= c^2

169= C^2

then square root the 169 to get 13

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25