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2 years ago

MARKING BRAINLIEST PLS HELP

Mathematics

2 answers:

ladessa [460]2 years ago

8 0

Awnser: -7
explanation : i got it from the guy up there^^

ch4aika [34]2 years ago

5 0

Answer:

-7

Step-by-step explanation:

Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.

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Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

3 years ago

5. Bill is planning to paint the back of his house. If the paint costs $2 a square

USPshnik [31]

Answer:

$462.86

Step-by-step explanation:

8 0

3 years ago

Help asap!!!

dangina [55]

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3 years ago

Write <img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-x-3%2Bx%5E%7B3%7D" id="TexFormula1" title="3x^{2} -x-3+x^{3}" alt="3x^{2

Elza [17]

Answer:

Standard form: $x^3+3x^2-x-3$

Leading coefficient: 1

Step-by-step explanation:

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

The leading coefficient is 1 because the leading term is $x^3$ .

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2 years ago

Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donu

frez [133]

A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48 because 2 hours meant 2*60 = 60+60

B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48 because 7 hours meant 7*60 = 420 mn

C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48 (this is obvious)

so finally,
D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48

7 0

3 years ago