Solve the system of equations using substitution
3x – 2y = 3 –4x + y = 6

(X,Y)= (? ,?)

Answer:

So the prime factorization of 120 is 2^3 × 3 × 5

Step-by-step explanation:

There are 3 2's so you'd write that as 2 to the power of 3 and then add the 3 and then the 5

Hope this helps

Area of the bigger rectangle =(18×8)cm

2

=144cm

2

Area of the smaller rectangle =((30−18)×(8−6))=(12×6)cm

2

=72cm

2

∴ Total area = area of smaller rectangle + area of bigger rectangle =(72+144)cm

2

=216cm

2

Step-by-step explanation:

the area of bigger rectangle is given by L*W

it simply means that length of larger rectangle multiplied by width of larger rectangle

=20*16

=320m2

hence the path between the lager and smaller rectangle is given by

the path is twice

hence it will be 2*2

=4m

smaller length is

20-4

=16m

smaller width is

16-4

=12

hence area of smaller rectangle

l*w

=16*12

=192m2

hence area of shaded path is given by

=320-192

=128m2

taking larger area of rectangle -the smaller area of rectangle

Convert g(x) to vertex form

Vertex at (0,8)

Hence

Option D

Answer:

D.  The graph of g(x) is 8 units above the graph of f(x)

Step-by-step explanation:

Transformations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function: [tex]f(x)=x^2[/tex]

Translated 8 units up:  [tex]f(x)+8=x^2+8[/tex]

Therefore, the graph of g(x) is 8 units above the graph of f(x)

Answer:

All of the answers

Step-by-step explanation:

I hope this helps :)

Answer:

1: 6

2: 40

3: 17

4: 15

5: 38

6: 8

7: 35

8: 75

9: 10

Step-by-step explanation:

Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, her profit is modeled by:

[tex]P(x) = -x^2 + 14x + 57[/tex]

Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:

[tex]y_v = -\frac{14^2 - 4(-1)(57)}{4(-1)} = 106[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Given,

Side of cube = 12cm

Formulae :

• Total Surface Area of Cube = 6a²

• Volume of Cube = a³

Now Apply,

★ Total Surface Area of Cube

= > 6 × 12 × 12

= > 864 cm²

★ Volume of Cube

= > 12 × 12 × 12

= > 1728 cm³

________________________________________

Step-by-step explanation:

Given :-

To find :-

Solution :-

Volume of cube = a³

Volume = 12³ cm³

Volume = 1728 cm²

Total Surface Area of cube = 6a²

TSA = 6×12² cm²

TSA = 864 cm²

Answer:

[tex]\frac{3}{5} *5[/tex] or [tex]5*\frac{3}{5}[/tex]

Step-by-step explanation:

Each circle has 3/5 shaded, and there are 5 circles.

So our multiplication equation is:

[tex]\frac{3}{5} *5[/tex] or [tex]5*\frac{3}{5}[/tex] (they mean the same thing)

[tex]\frac{3}{5} *5=3[/tex]

Hope this helps!

Answer:

the answer is c go ahead and click it

Step-by-step explanation:

Answer:

i think it's wednesday and good luck:)!

Answer:

22

Step-by-step explanation:

First let's find the distance from -8 to 0= "8".

Now, let's find distance from 0 to 14 which is "14".

Add 8+14 = 22

Therefore, the distance between -8 and 14 on a number line is 22 units.

~

Hope this helps!

Answer: C

Step-by-step explanation:

Answer:

7y+42

Step-by-step explanation:

If I am doing this correctly (so take it with a grain of salt from just waking up) you would multilpy 7 with the expressions in the ( )

So it would be 7*y= 7y

Then 7*6= 42

So it would be 7y+42 I think

Sorry if it is incorrect/ doesn't answer your question. Good luck!

Answer:

[tex]\displaystyle \large{7y+42}[/tex]

Step-by-step explanation:

We are given the expression [tex]\displaystyle \large{(y+6) \cdot 7}[/tex]. Use the distributive property to simplify the expression.

Distributive Property

[tex]\displaystyle \large{a(b+c)=ab+ac}[/tex]

To say it simply, you multiply the outside with the insides. Therefore, from the expression:-

[tex]\displaystyle \large{y \cdot 7 + 6 \cdot 7}[/tex]

Evaluate:-

[tex]\displaystyle \large{\boxed{7y+42}}[/tex]

If you have any questions about this question or for clarification, do not hesitate to ask in comment!

Answer:

the 92nd term of the arithmetic sequence is 731 because the common difference between them is 8.

Answer:(-3,5] U [5,10)

Step-by-step explanation:

That should be your answer

Answer: t < -2

Step-by-step explanation:

[tex]2\left(5t-25\right)+5t<-80[/tex]

[tex]15t-50<-80[/tex]

[tex]15t<-30[/tex]

[tex]\frac{15t}{15}<\frac{-30}{15}[/tex]

t < -2

Answer:

Step-by-step explanation:

1. C is mid-point of BD and AC is perpendicular to BD

Reason: Given

2. BC = DC

Reason: C is mid-point of BD

3. <ACB and <ACD are right angles

Reason: AC is perpendicular to BD

4. <ACB = <ACD

Reason: both are right angles

5. AC = AC

Reason: reflexive property

6. Δ ACB ≡ Δ ACD

Reason: SAS

Answer:

max

Step-by-step explanation:

i know it

Answer:

The answer is 8h+6<

Step-by-step explanation:

Answer:

B. Yes.

C. Yes.

Step-by-step explanation:

B. In this, it is saying basically is "2b + b = 3b." Well yes, because 2b + b = 3b. So 3b = 3b? Yes.

C. So same thing. 2b + b = 3b. 3b = 3b. they are equivalent.

Answer:

Step-by-step explanation:

Answer:

Infinitely Solutions

Step-by-step explanation:

Solution:

[tex]8x+2y=8.......(1)[/tex]

[tex]y=-4x+4.......(2)[/tex]

By substitute equation (2) in equation (1) , we will have

[tex]8x+2y=8\\8x+2(-4x+4)=8\\8x-8x+8=8\\8x-8x=8-8\\0=0[/tex]

Hence,

Using a graphing calculator, we can see that both lines are equal.

Hence, The system infinitely many solutions

Answer:

it could be 85.75 but im not sure

Step-by-step explanation:

Answer: 28 degrees

Step-by-step explanation: Since degree x as well as the 10 ° angle seem to be aligned to a 38 45 ° angle, this would be 38-10=28 degrees.

Answer:

Goal  = x

45000 = 9/10 * x

x = 45000 * 10/9  = 50000

Step-by-step explanation:

You may find something useful on my you tube channel "Sciency Sergei". You may also suggest a topic to discuss or problems to solve.

Answer:

$95,231 rounded to the nearest dollar

Step-by-step explanation:

5.8125/100 * $90,000 = $ 5231.25 increase

$5231.25 + $90,000 = $95,231.25

Round to the nearest dollar = $95,231

Answer:

12m^2

Step-by-step explanation:

volume = 48 m^3

l*b*h = 48

12*h = 48

h = 4 m

baSe of prism will be made of l and b

so area is 12 m^2

Answer:

x = 5

Step-by-step explanation:

10x + 5x = 75

15x = 75

/15   /15

x = 5

Check your answer:

10x + 5x = 75

10(5) + 5(5) = 75

50 + 25 = 75

75 = 75

This statement is correct.

Hope this helps!

Hello.

First, add the x's:

[tex]\mathtt{10x+5x=75}[/tex]

[tex]\mathtt{15x=75}[/tex]

Now, divide both sides by 15:

[tex]\mathtt{x=5}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

From your choices, Id say integer

Answer:

Step-by-step explanation:

x -4  , 3x-11 , 5x - 18 ,.......

first term = a = x -4

Common difference (d) = second term  - first term

                                =  3x -11 - [ x - 4]

                                = 3x - 11 - x + 4

                                = 3x - x - 11 + 4

                                 = 2x - 7

nth term = a + (n-1)*d

12th term = x - 4 + 11*(2x - 7)

               = x - 4 + 11*2x  - 7 *11

                = x - 4 + 22x - 77

                =x + 22x - 4 - 77

                = 23x - 81