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3 years ago

13

Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’

s street gave her a chocolate bar?

2 answers:

otez555 [7]3 years ago

8 0

Answer:

1/2

Step-by-step explanation:

5/10 houses gave ger chocolate so to spimplify you divide the 5 by 5 and u get one and then divide the 10 by 5 which gives u 2

so 1/2

Mnenie [13.5K]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

5/10 houses gave her chocolate

if you simplify 5/10 by dividing by both the top and bottom by 5 to get 1/2

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The sum of two consecutive integers is -37 find the integers

dexar [7]

The answer could possibly be -48+11=-37

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3 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

3 years ago

Can somebody solve this for me please?

Karo-lina-s [1.5K]

Answer:

D

Step-by-step explanation:

3 0

3 years ago

Express 2/2 as a decimal

nadezda [96]

Answer:

1?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If f(x) = 3x²+2 and g(x)=x2-9, find (f- g)(x).

Solnce55 [7]

Answer:

Step-by-step explanation:

Depending on whether or not the g(x) is x^2 or 2x, I have both ways.

If g(x) is x^2 - 9...

--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11

If g(x) is 2x...

--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11

Hope this helps!

4 0

2 years ago