Solve the simultaneous equations
y = 2x^2
y = 3x + 14

Answer:

(a) 8

(b) 4

(c)5

Step-by-step explanation:

We are given multiple parts and we  need to provide the correct answer among the given options, also we need to prove that rest of the answers are wrong.

(a). X + 12 = 20 ( 12,8,20,0)

X= 20 -12

X= 8, so only 8 is the correct answer and rest are wrong.

Proof: lets take other given options into consideration

X= 12

X+12 =12+ 24 which is wrong because X+12 is already given as 20.

similarly,

X=20

X+12 = 20+12 = 36, which is wrong because X+12 is already given as 20.

X= 0

X+12 = 0+12 = 12, which is wrong because X+12 is already given as 20.  

(b). P - 4 = 0 (4,-4,8,0)

P-4 = 0

P= 4, So only 4 will give the correct answer and not the other options.

P= -4 = -4 -4 = -8, which is wrong because P-4 is is already given as 0.

similarly,

P = 8  = 8-4 = 4, which is wrong because P-4 is is already given as 0.

P = 0, 0-4 = -4 , which is wrong because P-4 is is already given as 0.  

(c). 2y - 3 = 7 (0,3,5,7)

       2y = 7 + 3

       2y = 10

          y = 5, only 5 will satisfy this given equation and rest will be wrong,

y = 0

2y-3 = 7

2(0) -  3 = 7

-3 = 7 which is not correct as LHS and RHS must be same.

similarly,

y = 3

2y-3=7

2(3) - 3 =7

6-3 = 7

3=7 which is again wrong.

y = 7

2(7) -3 =7

14-3 = 7

11=7, which is wrong.

Therefore the given options for the correct answers is verified and the wrong answers are given as the proof.

Answer:

1. x=4 y=4√3

2. x=48 y=24√3

4. x=7/√3 y= 14/√3

5. x=27√3 y = 54

Step-by-step explanation:

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

6. is b

Step-by-step explanation:

Answer:

We'll leave 2/3 as it is and reciprocate 1/4 into 4/1. 2/3 × 4/1 = 8/3 which becomes 2.66. So 1/4 will go into 2/3 2.66 times.

Step-by-step explanation:

Answer:

1/4 is in 2/3 2 2/3 times

Step-by-step explanation:

Answer:

ultiply by 2 and then add 2

Step-by-step explanation:

....hi

Step-by-step explanation:

Answer:

o{(8,4), (6,4), (9,1),(7-6)}

Step-by-step explanation:

Every x value can only have one y value

Answer:

1

Step-by-step explanation:

If this answer helped you then please mark it as brainliest so I can get to the next rank

Answer:

2 roots this parabola have because it line passes at x - axis.

Answer:

The answer is C.4/7

Step-by-step explanation:

First of all, parallel lines have the same gradient (slope), so if you find the slope for line A this will be the same slope as the line parallel to it (line A).

point 1: (0,4)    Where, [tex]x_{1} =0[/tex]    and    [tex]y_{1}=4[/tex]

point2: (-7,0)    Where, [tex]x_{2} =-7[/tex]    and    [tex]y_{2} =0[/tex]

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{0-4}{-7-0}[/tex]

[tex]m=\frac{-4}{-7}[/tex]

[tex]=\frac{4}{7}[/tex]

C. 4/7

(note: this is the slope of line A and any line parallel to line A)

Answer: The numbers go from left to right on the table in this order: 0, 3, 4, 3, 0, -5.

To do the problem, you put the x - value in place of where the x is in the equation above (y = 4 - x^2) and then you put what y equals in the box after you finish.

Good luck, hope this helped!!

Answer:

maybe 65 degrees

sorry if its wrong

Answer:

45 degrees

Step-by-step explanation:

All three angles equal 180

Its a right triangle, C=90

Two angle, 90 degrees left, and they're equivalent so divide by 2

B=45, A=45

Answer:

yeah I know you are literally perfect for you to be home

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools. We will find that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft = 2

Meaning that the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

If you want to learn more, you can read:

https://brainly.com/question/20767796

Answer:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

Step-by-step explanation:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

An easy way to find out is by plugging the variable with a constant such as 2

Answer:

-8

Step-by-step explanation:

bc a negative time a negative give u a positive

-3x-8=24

Answer:

3.225 gram

Step-by-step explanation:

Given that :

Initial weight = 0.06g

Rate of increase, r = 10% = 0.1 per day

Weight gain after 6 weeks

For an exponential model. f(x)

f(x) = a(1 + r)^x

Where ; a = initial amount ; r = growth rate ; x = period

Our model becomes :

f(x) : 0.06(1 + 0.1)^x

f(x) = 0.06(1.1)^x

Number of days in 6 weeks = 6*7 = 42 = x

f(42) : 0.06(1.1)^42

= 3.285 gram

Hence, weight gain after 6 weeks :

(3.285 - 0.06) g = 3.225 gram

Answer:

Yup, its greater than 0.8

Answer:

Yes

Step-by-step explanation:

0.8 is less than 1 and 6 is greater than one so 6 is greater than 0.8. :)

Answer:

[tex]x>3[/tex]

Step-by-step explanation:

Using the line shown here, we can see that the variable x can takes values greater than 3.

The white circle means that the x can not take this value.

Then, x could be 4, 5, 6, ... and so on.

Putting this information into an inequality form we will have:

[tex]x>3[/tex]

or in interval terms, all the values of x ∈ (3, infinity).

I hope it helps you!

Answer:

Step-by-step explanation:

I dont know

Answer:

the answer will be  0.462

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

B = 114

Step-by-step explanation:

and i answered first

Answer:

Total surface area

1) 46cm²

4) 304cm²

Step-by-step explanation:

1) First you need to work out each face on its own, opposites will be the same such as the front and back, top and bottom, side to side, because its a rectangle.

Formula : Base x height

Front/back : 5x3=15 and 15 =30 (added together)

top/bottom : 1x5= 5 and 5 = 10

side/side : 3x1= 3 and 3 = 6

30+10+6=46cm²

4) lets work out the easy ones first using the same formula from question 1 for one surface area but this is a trapezium, which is a irregular quadratical shape so the sides would most liky be different from each other except the front and back.

Top : 5x8=40

bottom : 3x10=30

right side : 12x8=96

Left side : 12x10=120

front/back= 12x3=36 / 2 = 18

Because if u added another side to make it a rectangle then divide by 2 would get the answer or 1/2 x base x height also works.

40+30+96+120+18=304cm²

Answer:

X=75 y=90

Step-by-step explanation:

180-105=75

X=75

180-90=90

Y=90

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

Answer:

it's 8.8 had to do the exact problem on khan acedemy

Step-by-step explanation:

answer is 8.8 breaths

Answer:

£503.75 per month

Step-by-step explanation:

7% decrease on a £6,500 car

= 7% of 6,500

= 7/100 * 6,500

= 0.07 * 6500

= £455

Amount of the car = £6,500 - £455

= £6,045

he will pay the full balance in 12 equal month payments

Amount paid each month = £6,045/12 months

= £503.75 per month

Answer:

7% decrease on a £6,500 car

= 7% of 6,500

= 7/100 * 6,500

= 0.07 * 6500

= £455

Amount of the car = £6,500 - £455

= £6,045

he will pay the full balance in 12 equal month payments

Amount paid each month = £6,045/12 months

= £503.75 per month

Step-by-step explanation:

Answer: m+8 =

Step-by-step explanation: