Given the system

2X + 3Y = 18

-2X + 5Y = 14

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)

2. Given the system

3x + 4y = 5

2x +7y = 12

Explain how you would solve this system using combination. Give the solution as a coordinate pair (X,Y)

Answer:

2x((3x-2)x(3x+2))²

Final answer:

The correct equivalent expressions for 162x⁴-144x²+32 are 2(81x⁴ - 72x² + 16) and 2(9x² - 4)², which correspond to options A and C.

Explanation:

The expression 162x⁴-144x²+32 can be factored by first taking out the greatest common factor (GCF), which is 2, resulting in 2(81x⁴ - 72x² + 16). If we look at the inside expression, we can recognize that it is a perfect square trinomial because 81x⁴ is the square of 9x² and 16 is the square of 4, and the middle term (-72x²) is twice the product of 9x² and 4. Consequently, the expression inside the parentheses can be written as the square of a binomial, resulting in 2(9x² - 4)². Therefore, the equivalent expressions for 162x⁴ - 144x² + 32 are:

Thus, the answers are A and C from the options provided.

Answer:

Trapezium.

Step-by-step explanation:

Some of the properties of a trapezium include:

- A pair of opposite parallel sides (the long and short base)

- Has 4 sides (meaning it is a quadrilateral)

-

Answer:

x = 115°

Step-by-step explanation:

Answer:

x< 2

Step-by-step explanation:

We are given the inequality;

5(x+3)−8<17

First we take 8 to the other side;

5(x+3)<17 + 8, notice the sign changes like with an equation

Opening the brackets;

5x + 15 < 25

We then take 15 to the other side;

5x < 25 -15

5x < 10

  x < 2

Thus, the solution of the inequality is x< 2

Answer:infinitely many solutions

Step-by-step explanation: 4*2x= 8x and (7*4)+3 = 31. 8x+31 is equal to itself, therefore any value of x makes the equation true.

Answer:

He is correct.

Step-by-step explanation:

9÷4=2.25

The equivalent quarterly interest rate is 2.25%. The annual interest is converted quarterly by dividing the annual rate by 4.

Simple interest is a notion employed in various industries, including banking, finance, and automobiles.

Gavin put money into his savings account, which is compounded annually at an interest rate of 9%

The corresponding quarterly interest rate is, 2.25%.

The annual interest is converted quarterly as;

[tex]\rm n= \frac{9}{4} \\\\ n= 2.25\%[/tex]

Hence, the equivalent quarterly interest rate is 2.25%.

To learn more about simple interests, refer to;

https://brainly.com/question/22621039

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Answer:

draw an 8 x 7 rectangle

Step-by-step explanation:

note that

area of rectangle = length x width.

we also know that 56 = 8 x 7

hence you simply need to draw a rectangle and label the long side "8 cm" and the short side "7 cm"

Final answer:

It will take Shaun 156 hours to mow 78 lawns based on his current rate of mowing 3 lawns in 6 hours.

Explanation:

To determine how many hours it will take Shaun to mow 78 lawns based on the rate at which he mows 3 lawns in 6 hours, we will use a proportion. First, we find the rate at which Shaun mows lawns per hour, which is 3 lawns / 6 hours = 0.5 lawns per hour. Next, we set up a proportion where the total number of lawns he needs to mow (78 lawns) is set equal to the product of the number of hours it takes (which we are trying to find) and the rate at which he mows lawns (0.5 lawns per hour).

So, the proportion is:
78 lawns = x hours ( 0.5 lawns/hour.)

Dividing both sides of the equation by 0.5 lawns/hour gives us:

x hours = 78 lawns / 0.5 lawns/hour

x hours = 156 hours.

Therefore, it will take Shaun 156 hours to mow 78 lawns at his current rate.

Answer:

23

Step-by-step explanation:

92÷4=23

There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.

Answer:

23 barrettes

Step-by-step explanation:

92 divided by 4=23 There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.

In another way :

So you have 92 then you divide 92 by 4 and that equals 23

Answer:

x=5

Step-by-step explanation:

The given equation is [tex]\frac{2}{x-3}=\frac{5}{x}[/tex]

The denominator is never equal to zero.

Therefore [tex]x-3\ne0[/tex] or [tex]x\ne 0[/tex]

[tex]x\ne3[/tex] or [tex]x\ne 0[/tex]

Let us now cross multiply to get:

[tex]2x=5(x-3)[/tex]

Expand to get:

[tex]2x=5x-15[/tex]

Group similar terms to get:

[tex]5x-2x=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

The functions whose graphs include the point (16, 4) is y = x−12.

Option: D.

Step-by-step explanation:

To find the function that passes through the point (16,4).

Substitute the point in all the equations and equate the final values to find the correct equation.

A. y=2x.

Substitute (16,4).

4=2(16).

4≠32.

Thus the equation doesn't contains the point (16,4).

B. y=[tex]x^2[/tex].

Substitute (16,4).

4=[tex]16^2[/tex].

4≠ 256.

Thus the equation doesn't contains the point (16,4)

C. y=x+12.

4=16+12.

4≠28.

Thus the equation doesn't contains the point (16,4)

D. y=x−12.

4=16-12.

4=4.

Thus the equation contains the point (16,4)

E. y=14x.

4=14(16).

4≠224.

Thus the equation doesn't contains the point (16,4)

∴The functions whose graphs include the point (16, 4) is y = x−12.

Answer:

Step-by-step explanation:

There are 2 answers to this question. I know one of them wich is D but the other one I think it;s A

Answer: b.14

Step-by-step explanation:

We have two shelves, the top shelf [tex]s_{t}[/tex] and the bottom shelf [tex]s_{b}[/tex].

Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:

[tex]s_{t}=10+\frac{1}{3}s_{b}[/tex] (1)

Then, we are told there are 12 books on the bottom shelf:

[tex]s_{b}=12[/tex] (2)

Substituting (2) in (1):

[tex]s_{t}=10+\frac{1}{3}(12)[/tex] (3)

[tex]s_{t}=10+\frac{12}{3}[/tex] (4)

[tex]s_{t}=14[/tex] (5) This is the number of books on the top shelf

Hence, the correct option is b.

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find Slope

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{-19 - (-5)}{-1 - (-3)}[/tex]

m = [tex]\frac{-19 + 5}{-1 + 3}[/tex]

m = [tex]\frac{-14}{2}[/tex]

m = -7

Step 2:  Put into point slope form

Point Slope Form:  (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

Answer: $1935.56

Step-by-step explanation:

T.P=R.P-(12% of R.P)

R.P=$77.30 per 1m²

When m =5.35, m²=5.35²=28.6225

R.P= $(77.30×28.6225)

R.P=$2212.52

12.5% of R.P=0.125×$2212.52=$276.565

Therefore,

T.P = $2212.52-$276.565 = $1935.96

Note: T.P is Trade Price and R.P is Retail Price.

Hope this helps?

Answer:

Option A

Step-by-step explanation:

We want to find an expression that is equivalent to

[tex] {16}^{ \frac{3}{4}x } [/tex]

Recall that:

[tex] {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } [/tex]

We apply this property of exponents to rewrite our expression:

We set a=16, n=4 and m=3x

This implies that:

[tex]{16}^{ \frac{3x}{4} } = \sqrt[4]{ {16}^{3x} } = (\sqrt[4]{ {16} })^{3x} [/tex]

The first choice is correct.

Answer:

A

Step-by-step explanation:

edg review 2020

Yo sup??

Dude chill....u will pass for sure :)

SA of composite figure=sum of SA of individual faces

=SA of 2 triangles+SA of rectangle 1+SA of lower cuboid

=2*1/2*8*10+2*9*14+3*10*14+2*10*10

=80+252+420+200

=952 ft^2

Hope this helps.

Answer:

16272

Step-by-step explanation:

just use mutiplication

Answer:

That's a very dumb question, because some of her friends could be fakers and users. But, I'll answer it.

86 subtracted by 2 is 84.

It says she gave 3 to each friend so:

84 divided by 3 is 28.

She has 28 friends.

Answer:

3/2

Step-by-step explanation:

Scale factor=side of second triangle/side of first triangle

Scale factor=12/8

=3/2

Step-by-step explanation:

[tex]Scale \: factor = \frac{8}{12} = \frac{2}{3} \\ [/tex]

To save time, you dont need to write "> or ="

You can simply write ">=" without the quotes.

So 3x >= 10 means "3x is greater than or equal to 10"

-----------------------------------

we start with 3x >= 2x+5

we want 3x-10 on the left hand side. We already have a 3x. So if we stick a -10 on the left side, we need to do the same thing to the right side to balance things out. We can subtract 10 from both sides to do this

3x >= 2x+5

3x-10 >= 2x+5-10 ... subtract 10 from both sides

3x-10 >= 2x-5

So it looks like a 5 will go in the blank because the negative portion is already taken care of.

Answer:

The answer is 10

Step-by-step explanation:

Answer:

6x+8

Step-by-step explanation:

Answer:

6x + 8 is the answer

Step-by-step explanation:

on Edgenuity 2020

Answer:

1. 7/10 + 3 6/10= 4 13/10= 5 3/10

Answer:

Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.

Step-by-step explanation:

Given, Marc was born on his grandmother's 56th birthday.

Let , x year will Marc's grandmother be 5 times as Marc will be then.

At that time the age of Marc will be = (x-56) year

According to the problem,

x= 5(x-56)

⇔x = 5x - 280

⇔x-5x= -280

⇔-4x=-280

⇔x=70

Therefore 70 year Marc's grandmother be 5 times of as Marc will be after (70-56) = 14 year.

Answer:

PQ = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex], then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RQ}{PQ}[/tex] = [tex]\frac{8}{PQ}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

PQ = 8 × 2 = 16

Answer:

who ever answers right will get Brainlyeist!!!!! PLEASE HELP ME OUT!!!

3. Find the area of the triangle.

A. 21.2 in

B. 10.5 in

C. 21 in

D. 42 in

Answer:

-20 and 6

Step-by-step explanation:

-20 x 6 = -120

and if you add -20 and 6, you get -14.

Answer:

(-5,4) (6,-2)

(-2-4)/(6+5)= -6/11

Answer:

-3/5

Step-by-step explanation:

Answer:

3353

Step-by-step explanation:

1. Simplify 960 + 2 to 962.

4 · (962 − 125) + 5

2. Simplify 962 − 125 to 837.

4 · 837 + 5

3. Simplify 4 · 837 to 3348.

3348 + 5

4. Simplify

3353

Answer: 3353

Step-by-step explanation:

4 × 960 = 3840

4 × 2 = 8

4 × -125 = -500

-500 + 8 + 3840 = 3348

3348 + 5 = 3353

With y-x=0, add x to both sides to get y=x.

Now you can substitute either x or y

7x-9x=8 or 7y-9y=8 which is the same thing

-2x=8 or -2y=8

x=-4 or y=-4

Hope this helped!