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2 years ago

The bar graph below displays students’ responses to the question "What caffeinated drinks do you consume?”

Mathematics

1 answer:

alekssr [168]2 years ago

8 0

Answer:

I don't know see the bar graph BUT i do know some caffeinated drinks students would consume. Coffee, Soda, Tea, & Energy Drinks.

Step-by-step explanation:

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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

I don't get how to do #10 someone help plez

ExtremeBDS [4]

I can help but the picture does not load, for some reason it takes me to a page that says enter code. I have no idea what it is but i did not mess with it...
you might want to re-post a new picture just to be safe because that code thing might be something of yours thats personal

3 0

3 years ago

Marie is designing a bedspread for her grandsons new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is stri

liraira [26]

Answer:

1/6

Step-by-step explanation:

2/3 of the bedspread is covered in race cars , therefore

1/3 of the bedspread is covered in stripes

2/4 of those 1/3 are red stripes

to find the fraction of the red stripes

2/4 x 1/3 = 2 / 12 = 1/6

4 0

1 year ago

When 60% of a number is added to the number, the result is 192

Talja [164]

Answer:

the number (x) is 120.

Explanation:

100% + 60% = 160% = 1.6

(just multiply it by 1.6 because it is equal to 60%)

7 0

2 years ago

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?

jeka94

It is a POINT. A single dot you can locate on a coordinate plane is a point.

4 0

2 years ago

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