Mary says that the expression
6 + 8y - 3+ 4y is equivalent to the expression
12y + 3. Is Mary correct?

Answer: (-2, -1) and (3, 14).

Step-by-step explanation:

[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]

x² + 2x - 1 = 5 + 3x

x² + 2x - 1 - 5 - 3x = 0

x² - x - 6 = 0

[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]

y = 5 + 3x

y₁ = 5 + 3 * (-2) = -1

y₂ = 5 + 3 * 3 = 14

The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).

Answer:

Midpoint is (x2+x1) /2 , y2+y1 /2)

(7-1 /2, 3+2 /2)

=(3,5/2)

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

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

-3x+2y=-12

3x+5y=33

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

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Answer:

? = 13.5

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

6/4 = 1.5

9*1.5 = 13.5

Answer:

See explanations below

Step-by-step explanation:

The given sequence 7,21,63... is geomertic in nature

The nth term is expressed as;

Tn = ar^n-1

a is the first term = 7

r is the common ratio = 21/7 = 63/21  = 3

n is the number of terms

Substitute

Tn = 7(3)^n-1

For the 12th term, when n = 12

T12 = 7(3)^12-1

T12 = 7(3)^11

T12 = 7(177,147)

T12 = 1,240,029

Hence the 12th terms is 1,240,029

For the recursive function

First term = 7(1)

2nd term T2 = 21 = 7(3)

3rd term T3 = 63 = 7(9) = 7(3^2)

Tn = 7(3^n)

Hence the recursive function is 7(3^n)

Answer:

1 and 1/8

Step-by-step explanation:

Answer:    The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.

Step-by-step explanation:

Answer:

£72

Step-by-step explanation:

let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x

Then

x + 3x + 6x = 10x = £240 ( divide both sides by 10 )

x = £24

Gordon gets 3x = 3 × £24 = £72

Answer:

The angle of a straight line is 180 degrees.

180 degrees-71 degrees=109 degrees

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

Answer:

b d and e

Step-by-step explanation:

just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.

Answer:

C

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]

===========================================

Explanation:

Let's apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-7-(-3))/(-3-(-3))

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

Answer:

$2205

Step-by-step explanation:

The formula is (2000*1.05^2) which is 2205

Answer:

$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57

Answer:

Step-by-step explanation:

Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4

Point-slope equation for line of slope ¾ that passes through (-8, 0):

y-0 = ¾(x+8)

Answer:

Yes.

Step-by-step explanation:

Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.

Answer:

4 x c = 2,528

c = 632

Step-by-step explanation:

Answer:

The bottom one

Step-by-step explanation:

The question is saying they spent $2528 on 4 laptop computers that each cost the same amount so the equation is 4c=2528 .Divide 2528 by 4 to get 632.

P.S. can I get brainlist please?

Answer:

-9m-27n=

-9(m +3n)

[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]

[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]

[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]

[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]

Answer:

3 feet

Step-by-step explanation:

Area of bedroom = 54 square feet.

Area of closet = Area of bedroom / 6= 54/6= 9 square feet.

Area = length * breadth

9 =  length *3

length = Area/ width

length = 9/3= 3 feet.

As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.

Answer:

180-96 will be the value for c

now do the calculation urself

Answer:

90°

Step-by-step explanation:

Hi!

I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex]     (any value raised to the power of zero equals one)

f(0) = [tex]\frac{3}{2}[/tex] · 1

f(0) = 3/2 or 1.5

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

6 years

Step-by-step explanation:

The computation of the time period is given below:

As we know that

Future value = Present value × (1 + rate of interest)^time period

$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period

$6,720 = $5,250 × 1.04^time period

1.28 = 1.04^time period

So, the time period is 6.29 years i.e. 6 years

hence, the time that should be taken is 6 years