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3 years ago

How to solve this problem?

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

What happens when a quadratic function touches the x-axis only once? It means that the quadratic function has only one real zero. So which formula should we use? How about the almighty quadratic formula?

So when does the quadratic formula give you only one real zero? When the discriminant is equal to zero!

The discriminant is: b²-4ac

In our quadratic equation that means:
b = (3+m)
a = 4
c = 1

Thus, we need to solve: (3+m)²- 4*(4)*(1) = 0

m²+ 6m + 9 - 16 = 0
m² + 6m - 7 = 0
(m+7)(m-1) = 0
m = -7, 1

That's it! Plug back in and graph to see that it actually works!

You might be interested in

One-third of the results of three times a number that is increased by 12.

iragen [17]

1/3 (3x+12)
1/3×3x+1/3×12
x+4

3 0

3 years ago

Given that the measure of angle GHJ = 154 degrees find the angle of HIJ

vichka [17]

Answer:

the correct answer is 77°

Step-by-step explanation:

Angle GHJ and IHJ form supplementary angles which add up to 180°

therefore angle IHJ=180-154

angle IHJ=26°

Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each

since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°

2x+26=180

2x=154°

x=77°

Therefore both HIJ and IJH measure 77°

6 0

2 years ago

Meldie made a cube whose side is (3x - 2) inches. Find its volume in cubic inches.

irinina [24]

Answer:

x^2(3x-2) cubic inches OR in^3

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

-

NOTE: '^' MEANS TO THE POWER OF..

-

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

$v = abc$

We can solve this.

If one side is (3x-2)in,

(3x-2)(x)(x) = v.... x are the other two sides
x^2(3x-2) = v

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

$(a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3}$

We can solve this.

(3x-2)(3x-2)(3x-2) = v
(3x-2)^3 = v.... 3x = a and -2 = b
(3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v
27x^3 + 18x(2-3x) -8 = v
(27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 8
3x(9x^2 -18x +12) = v... Take 3 as common again in the brackets
3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets
3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

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If you have any questions regarding formulas or anything, comment and I will get back to you asap.

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5 0

10 months ago

Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of

Zarrin [17]

Answer:

£70.00

Step-by-step explanation:

You basically want to find what she spent in total, then subtract the amount she spent on ingredients.

50 glasses of lemonade at £2.10 each would be £105. (50*2.1)

Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)

6 0

2 years ago

Can somebody help me out? s/4 ? = 4

Yuki888 [10]

Answer:

If you are asking S/4=4 (as in what does S equal) the answer is 16

Step-by-step explanation:

4x4= 16

so 16/4=4 :)

7 0

3 years ago