HELPPPPPPPPPPPPPPPPPPPPPPP solving quadratics with the Calculator.

gtnhenbr [62]

Answer: 40:80:80

Step-by-step explanation:

The ratio is 1:2:2. This means, for every 5, the money is split in a ratio of 1:2:2. Let’s calculate how many 5s there are in 200. 200 / 5 = 40. So, the money will be split in 1:2:2 every 5 dollars 40 times.

Excellent. So, we can easily find out the ratio by multiplying the ratio 1:2:2 by 40. 1*40:2*40:2*40 = 40:80:80. Let’s add these up, and see if they result in 200. 40 + 80 + 80 = 200. So, our answer is correct.

Hope this helps!

4 0

3 years ago

Which statements about the graph of the function f(x) = -x2 - 4x + 2 are true? Select three options.

Nady [450]

Answer:

Domain is all real numbers.

The range is $\{y|y\le 6\}$

The function is increasing over $(-\infty,-2)$ .

The function is decreasing over $(-2,\infty)$

The function has a positive y-intercept.

-----------------This is a guess if I had interpreted your choices correctly:

Second option: The range is $\{y|y\le 6\}$

Third option: The function is increasing over $(-\infty,-2)$ .

Last option: The function has a positive y-intercept.

I can't really read some of your choices. So you can read my above and determine which is false. If you have a question about any of what I said above please let me know.

Note: I guess those 0's are suppose to be infinities? I hopefully your function is $f(x)=-x^2-4x+2$ .

Step-by-step explanation:

$f(x)=-x^2-4x+2$ is a polynomial function which mean it has domain of all real numbers. All this sentence is really saying is that there exists a number for any value you input into $-x^2-4x+2$ .

Now since the is a quadratic then it is a parabola. We know it is a quadratic because it is comparable to $ax^2+bx+c$ , $a \neq 0$ .

This means the graph sort of looks like a U or an upside down U.

It is U, when $a>0$ .

It is upside down U, when $a$ .

So here we have $a=-1$ so $a$ which means the parabola is an upside down U.

Let's look at the range. We know the vertex is either the highest point (if $a$ ) or the lowest point (if $a>0$ ).

The vertex here will be the highest point, again since $a$ .

The vertex's x-coordinate can be found by evaluating $\frac{-b}{2a}$ :

$\frac{-(-4)}{2(-1)}=\frac{4}{-2}=-2$ .

So the y-coordinate can be found by evaluate $-x^2-4x+2$ for $x=-2$ :

$-(-2)^2-4(-2)+2$

$-(4)+8+2$

$4+2$

$6$

So the highest y-coordinate is 6. The range is therefore $(-\infty,6]$ .

If you picture the upside down U in your mind and you know the graph is symmetrical about x=-2.

Then you know the parabola is increasing on $(-\infty,-2)$ and decreasing on $(-2,\infty)$ .

So let's look at the intevals they have:

So on $(-\infty,-2)$ the function is increasing.

Looking on $(-4,\infty)$ the function is increasing on (-4,-2) but decreasing on the rest of that given interval.

The function's y-intercept can be found by putting 0 in for $x$ :

$-(0)^2-4(0)+2$

$-0-0+2$

$0+2$

$2$

The y-intercept is positive since 2>0.

8 0

3 years ago

What is the value of x in circle o

iris [78.8K]

X=24
To find the value of x, you have to divide 48 by 2.

3 0

3 years ago

Read 2 more answers

X + 43 = 50 what does "x" equal?? EXPLAIN

kakasveta [241]

Hey there!

43 + 7 = 50

so x = 7

Hope this helps
Have a great day (:

4 0

3 years ago

Read 2 more answers

4x² = 32 What does x equal

babymother [125]

So here is what you would do:

lets just pretend that there is no x in the equation

so this is what the equation would look like:

first, is 4 to the power of 2=16 and now we are going to put the x back into the equation so: 4x to the power of 2, but we did the exponents so, now x is the missing number. We can use the 32 because it is the solution to the equation. So we would do 32-16=16 so the missing number is 16 so x=16

Answer: x=16

4 0

3 years ago