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2 years ago

5

HELPP ASAPP PLEASEEE

1 answer:

JulijaS [17]2 years ago

3 0

Answer:

samuel earns $20 for each lawn he mows

Step-by-step explanation:

so let's say that one lawn is $5 so for Samuel to earn $20 he has to mow 4 lawns

so for the 4 lawns are proportional to $20

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Please help! i'll give brainliest! no one would help me PLEASE.

Vanyuwa [196]

Answer:

m∠ABC = 42°

Step-by-step explanation:

5x + 13 + 3x + 33 = 70

8x + 46 = 70

8x = 24

x = 3

m∠ABC = 3(3) + 33 = 42

6 0

2 years ago

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

2 years ago

Cheryl can travel 21.6 miles on one gallon of gas how far can cheryl travel on 6.2 gallons of gas

Lyrx [107]

Cheryl can travel 133.92 miles using 6.2 gallons of gas

8 0

3 years ago

Read 2 more answers

Would you rather have 15/20 of a pizza or 24/32 of a pizza? Really, it wouldn’t matter because both of those fractions are equiv

lana66690 [7]

Answer:

I think all of these are optional answers

Step-by-step explanation:

7 0

3 years ago

3x^2-12x-21=0 solve by completing the square

morpeh [17]

Answer:

x = 2 ± √11 (I believe)

Step-by-step explanation:

3 0

3 years ago