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2 years ago

WILL GIVE BRAINLIEST

Mathematics

2 answers:

Vitek1552 [10]2 years ago

7 0

Answer:

The second table.

Step-by-step explanation:

As x increases by 1, y increases by 8. That's a linear relationship.

Dimas [21]2 years ago

5 0

Answer:

Step-by-step explanation:

The reason why is when you put it on a graph it is srraight and the others are not a straight line

You might be interested in

The sum of three positive consecutive integers is 66. what are the three integers

vredina [299]

Answer: 21, 22, 23

Step-by-step explanation:

you divide 66 with 3, that equals 22, then you have three 22. Then you have to take 1 from one of the 22s and give it to the other one, making it 21, 22 and 23

7 0

3 years ago

four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban

beks73 [17]

Answer:

apple: £0.20
banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

4a +b = 1.40

7a +b = 2.00

Subtracting the first equation from the second gives ...

(7a +b) -(4a +b) = (2.00) -(1.40)

3a = 0.60 . . . . simplify

a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

4(0.20) +b = 1.40

b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0

3 years ago

The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

3 0

3 years ago

Graph the line y+3x=-3

ivanzaharov [21]

Answer: y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

3 0

1 year ago

PLEASE HELP 30 POINTS AND BRANILEST

LUCKY_DIMON [66]

Answer:

Go through the explanation you should be able to solve them

Step-by-step explanation:

How do you know a difference of two square;

Let's consider the example below;

x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.

Let's consider another example,

2x^2 - 18

If we divide through by 2 we have:

2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above

Let's take another example;

x^6 - 64

The above expression is the same as;

(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.

Let's take another example

a^5 - y^6 ; a^5 - (y ^3)^2

We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square

Lastly let's consider

a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to

(a^2 + b^2) ( a^2 - b^2)

3 0

3 years ago