Which terms are like terms in the following expression?

Which of the relations given by the following sets of ordered pairs is not a function?

-Dominant- [34]

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

7 0

3 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.

So $7\le k$ ; in set notation,

$\{k\mid 7\le k$

4 0

3 years ago

Help with quadratic graphs asap!

zlopas [31]

x= -0.25 and 1.25

x = -0.5 and 1.5

x = 0 and 1

x = -0.375 and 1.625

Step-by-step explanation:

Given equation of the curve is

$y = 4x^2 -4x-1$

(i)

First equation $4x^2 -4x-1 =0$

Here y = 0

In x-axis the value of y = 0

The graph cuts the x-axis at(-0.25,0) and (1.25,0)

So, x= -0.25 and 1.25

(ii)

$4x^2 -4x-1 =2$

here y = 2

The line y= 2 cuts the curve at (-0.5,2) and (1.5,2)

So, x = -0.5 and 1.5

Given equation of the curve is

$y= 3x^2-3x -1$

(i)

$3x^2-3x +2 =2$

$\Leftrightarrow 3x^2-3x -1 = -1$

Here y = -1

The line y = -1 cuts the curve at (0,-1) and (1,-1)

So x = 0 and 1

(ii)

$3x^2-3x -1 =x+1$

Here y = x+1

The line y -x =1 cuts the curve at (-0.375,0.5) and (1.625,2).

So x = -0.375 and 1.625

3 0

3 years ago

Use the distributive property to help you solve the equation. - 6(t + 2) = 18 t=

Ede4ka [16]

Answer:

t = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-6(t + 2) = 18

Step 2: Solve for t

[Distributive Property] Distribute -6: -6t - 12 = 18
[Addition Property of Equality] Add 12 on both sides: -6t = 30
[Division Property of Equality] Divide -6 on both sides: t = -5

3 0

2 years ago

Flying with a tailwind, a pilot flew an airplane 700 miles in 3.5 hours. flying into a headwind, the return trip took 5 hours. f

Naya [18.7K]

Velocity With the Wind = 700/3.5 = 200 mph
Velocity Against the Wind = 700/5 = 140 mph

Taking the average we get:
Airplane Velocity In Still Air = 170 mph
Wind Velocity = 30 mph

Source:
http://www.1728.org/veloccal.htm

8 0

2 years ago

Read 2 more answers