Pls help and show workings

Answer:

Nicole is correct

Step-by-step explanation:

by multiplying the first equation by 3 it becomes:

3x + 6y =21

this can cancel the -3x in the second equation when adding them together

Answer:

Nicole is correct, since when she multiplied by 3, she cleared the x's, since one x was already negative, and the other one was positive. Michael is incorrect since when he multiplied by 2, he didn't realize that both y's were positive, so they didn't clear.

Step-by-step explanation:

Let's see what will happen if we do what Nicole says:

x+2y=7

-3x+4y=9

multiply the first equation by 3 on both sides

3(x+2y)=7(3)

3x+6y=21

-3x+4y=9

now let's add them.

10y=30

We can see that the x's are cleared, since one x is positive and the other is negative.

Now let's try what Michael says.

x+2y=7

-3x+4y=9

multiply first equation by 2

2(x+2y)=7

2x+4y=7

-3x+4y=9

now let's add

-x+8y=16

the y's aren't eliminated, since both of them are positive.

Nicole is correct, since one x is positive and another was negative, and when opposite numbers are added together, they  cancel out and equal zero.

Hope this helps!

Answer:

[tex]\huge\boxed{\sf The\ co-efficient\ of\ x\ is\ -4.}[/tex]

Step-by-step explanation:

Slope = m = -4

Y-intercept = c = -7 ( Because that is the point where x = 0 )

Equation:

[tex]\sf y = mx+c\\\\y = -4 x+(-7)\\\\y = -4x-7[/tex]

So, The co-efficient of x is -4.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Step-by-step explanation:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Answer:

AB=13cm(h)

AD=10-3=7cm(b)

DB=?(p)

now, using Pythagoras theorem

h²=p²+b²

hope it helps.

Step-by-step explanation:

For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.

dy/dx

= d/dx [4x³ + 4px² + 16x - 9]

= 12x² + 8px + 16.

We have 12x² + 8px + 16 > 0.

=> 3x² + 2px + 4 > 0,

where a = 3, b = 2p and c = 4.

For the quadratic function to have a range that is always positive, the discriminant must be less than 0.

(in order to have no real roots)

We have b² - 4ac < 0.

=> (2p)² - 4(3)(4) < 0

=> 4p² - 48 < 0

=> p² - 12 < 0

=> p² < 12

=> -√12 < p < √12

=> -2√3 < p < 2√3.

That was a very long process but hopefully you understand all of it!

Answer:

2:3

3:2

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Answer:

y=6x-6

Step-by-step explanation:

i think not sure tho

Answer:

y = 6x

Step-by-step explanation:

i just got it right on TTM

Answer:

3x^2 + 5x + 4

Step-by-step explanation:

The expression for the height of the rectangle is found by dividing the expression for the area, 3x3 − x2 − 6x − 8, by the expression for the base, x − 2. Use synthetic division.

Answer:

40

Step-by-step explanation:

s = 2;

h = 4

Surface area = 2s² + 4sh

                     = 2*2² + 4 * 2 * 4

                    = 2 *4 + 32

                    = 8 + 32

                  = 40 sq. units

Answer:

I mean how can I answer this???????????????????????

Answer:

45

Step-by-step explanation:

PQ = 45 units

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

The explicit formula for arithmetic sequences is 200n - 162.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given sequence is 38, 238, 438, 638,

first trem a₁ = 38

Common difference d = 200

nth term = a₁ + (n-1(d

nth term = 38 + 200(n-1)

nth term = 200n - 162

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

Answer:

455.4,  So D

Step-by-step explanation:

You need to multiply 37.95 times 12 which gives you 455.4

Answer:

1x+ -4y= -16

Step-by-step explanation:

y= 1/4x + 4

subtract 1/4x from both sides

-1/4x + y= 4

multiply both sides by -4

1x -4y= -16

Answer:

x = -2

y = 5

Step-by-step explanation:

2x - 3y = -19  ---------------------------(I)

7x+ 7y = 21  -----------------------------(II)

Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x

(I)*7              14x - 21y = - 133

(II)* 3           21x + 21y = 63          {Now add}

                   35x          = -70

                                x = -70/35

x = - 2

Plug in x = - 2 in equation (I)

2*(-2) - 3y = -19

-4 -  3y  = -19

     -3y = -19 + 4

     -3y = -15

         y = -15/-3

y = 5

The answer is 20 meters.

Answer:

6x - 4

Step-by-step explanation:

Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.

Step-by-step explanation:

.........................

0.1

Have a amazing day!!

Answer:

1/10 and in decimal form, it would be 0.1

Answer:

22500

Step-by-step explanation:

I'm not 100% sure

Given answer is wrong.

This is the solution:

60/3[150/2{6+3(17-14)}]

60/3[150/2{6+3(3)}]

60/3[150/2{6+9}]

60/3[150/2{15}]

60/3[150/30]

60/3[5]

60/15

4

Answer: 42 ?

Step-by-step explanation:

Answer:

70 years old

Step-by-step explanation:

Lets say this man’s age is x

200- 2x= 60

2x=140

x=70

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

Answer: EG = 80

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

[tex]4w+4=2w+22[/tex]

[tex]2w=18[/tex]

w = 9

Substituting:

[tex]EJ=4w+4[/tex]

[tex]EJ=4(9)+4[/tex]

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units

Answer:

the second option

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 45°

hypotenuse = 9

opposite = x

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{9} [/tex]

[tex] \sin(45) \times 9 = x[/tex]

[tex] \frac{9 \sqrt{2} }{2} = x[/tex]

[tex]x = \frac{9 \sqrt{2} }{2} [/tex]

Answer:

14 feet of wood

Step-by-step explanation:

Answer:

-3p3+ 5p2- 2p -p3 -8p2-15p

-3p3-p3+5p2-8p2-2p-15p

4p3-3p2-17p