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2 years ago

14

Is the equation y = 5x2 linear or not

1 answer:

Effectus [21]2 years ago

4 0

Answer:

yes

Step-by-step explanation:

pretty sure it would be ones u solve the rest.

You might be interested in

Which set of ordered pairs represent a function

spayn [35]

The 3rd set, no x or y numbers are repeated.

3 0

2 years ago

What is the interquartile range of this data? 6 8 9

vladimir1956 [14]

Answer:

24

Step-by-step explanation:

Just subtract the first quartile form the third quartile.

third quartile - first quartile

32 - 8 = 24 IQR

FIRST quartile: 8

SECOND quartile: 20

THIRD quartile: 32

So the IQR is 24

Hope this helps :)

3 0

2 years ago

Read 2 more answers

AnnZ [28]

Answer:

A: $6x^2(x^8-16)$

B: $6x^2(x^4+4)(x^2+2)(x^2-2)$

Step-by-step explanation:

<u>A:</u>

Our expression is $6x^{10}-96x^2$ . We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:

$6x^{10}-96x^2$

$x^2(6x^8-96)$

Let's see if 96 is divisible by 6:

96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:

$x^2(6x^8-96)$

$6x^2(x^8-16)$

Thus, the answer to part A is $6x^2(x^8-16)$ .

<u>B:</u>

Look at the $x^8-16$ part of the above factored expression. Notice that it is a difference of squares (because $x^8=(x^4)^2$ and 16 = 4²), so we can write this as:

$x^8-16$

$(x^4+4)(x^4-4)$

Now take a look at the $(x^4-4)$ part. Again, it's a difference of squares because $x^4=(x^2)^2$ and 4 = 2², so rewrite that as:

$x^4-4$

$(x^2+2)(x^2-2)$

Put it all together:

$6x^2(x^4+4)(x^2+2)(x^2-2)$

Thus, the answer to part B is $6x^2(x^4+4)(x^2+2)(x^2-2)$ .

6 0

2 years ago

Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l

bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0

2 years ago

To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su

andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question speed of Sue is = x+10

time taken By Sue to cover 80 miles = $\frac{80}{x+10}$

time taken by Doreen to travel 60 miles = $\frac{60}{x}$

According to question Sue take two hours less than Doreen takes

therefore

$\frac{60}{x}$ - $\frac{80}{x+10}$ =2

$\frac{60(x+10)-80x}{x(x+10)}$ =2

60(x+10) -80x = 2(x(x+10)

60x+600-80x = $2x^2+20x\\$

simplifying it ,we get

$2x^2+40x-600=0\\$

Dividing both sides by 2 ,we get

$x^2+20x-300=0\\$

solving it for x ,we get

(x+30)(x-10) =0

x =-30 which is not possible

x =10 miles per hour

Speed of Doreen = 10 miles per hour

Speed of Sue = 10+10 = 20 miles per hour

Time taken by Doreen = 60 divided by 10 = 6 hours

Time taken by Sue = 80 divided by 20 = 4 hours

5 0

2 years ago