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3 years ago

11

Solve for “a” 11a + 5 = -6

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

a=-1

Step-by-step explanation:

-6-5=-11

-11/11=-1

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pentagon [3]

The answer is 2√19 I think

4 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

the amount of mil available per child in a day care centrr is given by the function m(x) =25/x, where x is the number of childre

Lubov Fominskaja [6]

Answer:

0.5 liters of milk are available per child.

Step-by-step explanation:

Amount of milk available per children:

The amount of milk, in liters, available for x children is given by:

$m(x) = \frac{25}{x}$

50 children are present on a day

This means that $x = 50$

How much milk is available per child?

This is m(50). So

$m(50) = \frac{25}{50} = 0.5$

0.5 liters of milk are available per child.

4 0

2 years ago

URGENT BRAINLIEST GIVEN

UNO [17]

This is the way I do it to find the average.

10 girls times 70 = 700

15 boys times 80= 1200

700+1200=1900 all their scores

1900÷25 (number of boys and girls)=76 or 76%

6 0

2 years ago

How to simplify 2431-187

evablogger [386]

2,431 - 187 = 2,244.

7 0

3 years ago