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3 years ago

Solve 4x-4y=-16; x-2y=-12 by using substitution

1 answer:

6 0

$\left\{\begin{array}{ccc}4x-4y=-16\\x-2y=-12\end{array}\right\\\\\left\{\begin{array}{ccc}4x-4y=-16\\x=2y-12\end{array}\right\\\\substitution:\\\\4(2y-12)-4y=-16\\8y-48-4y=-16\\4y=-16+48\\4y=32\ \ \ \ /:4\\y=8\\\\x=2\cdot8-12=16-12=4\\\\Solution:x=4\ and\ y=8$

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Choose the opposite integer for: 100 feet below the surface

Simora [160]

Answer:I think it’s 100

Step-by-step explanation:

It says that it’s 10p feet below the surface so that’s -100. It asks for the opposite of that so it’s 100

6 0

3 years ago

Read 2 more answers

PLS HELP ILL MAR BRAINLIST AND FOLLOW U

Rashid [163]

Answer:

Disagree

Step-by-step explanation:

The surface area of the given prism consists of the following parts;

1) The area of the top and bottom right triangles, A₁, and A₂, which are given as follows;

A₁ = A₂ = (1/2) × 5 × 12 = 30

2) The area of the left rectangle, A₃ = 5 × 8 = 40

3) The area of the rear rectangle, A₄ = 13 × 8 = 104

4) The area of the front rectangle, A₅ = 12 × 8 = 96

∴ A = A₁ + A₂ + A₃ + A₄ + A₅

A = 30 + 40 + 104 + 96 + 30 = 300

Jim B 65 + 65 + 104 + 96 + 40 = 370

The surface area of the triangular prism, A = 300 cm²

Jim-Bob's calculation contains two errors

1) 65 + 65 + 104 + 96 + 40 = 370 ≠ 270

2) The area surface area of the triangular prism = 300 cm² not 270 cm²

and therefore, disagree with his calculation.

7 0

3 years ago

At a football stadium, 25% of the fans in attendance were teenagers. If there were 130 teenagers at the football stadium, what w

Trava [24]

Answer:

Total number of people in the stadium = 520

Step-by-step explanation:

Let the total number of people in the stadium = x

Since, 25% of the fans are teenagers, number of teenagers in the stadium

= 25% of x

= $\frac{25}{100}\times x$

= 0,25x

If the number of teenagers in the stadium = 130

0.25x = 130

x = $\frac{130}{0.25}$

x = 520

Therefore, total number of fans in the stadium = 520.

3 0

4 years ago

Hiiiiii peoples<br><br> Solve the inequality 6x^2-x<2 please show all steps

Orlov [11]

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

Equation at the end of step 1

((2•3x2) - x) - 2

STEP

Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-2

The first term is, 6x2 its coefficient is 6 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3

6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (3x-2)

Add up the last 2 terms, pulling out common factors :

1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (3x-2)

Which is the desired factorization

Final result :

(3x - 2) • (2x + 1)

4 0

4 years ago

Can someone please help how do you do it I don’t get it

disa [49]

Answer:

43.1

Step-by-step explanation:

Look at the picture! Double check my work but I am pretty sure I did it correctly.

8 0

3 years ago