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3 years ago

Rewrite the numbers from least to greatest 0.33,-0.12,-0.127,0.2,45/10

Mathematics

2 answers:

Sonbull [250]3 years ago

8 0

-0.127
-0.12
0.20
0.33
45/10
I think that is right

Minchanka [31]3 years ago

5 0

-0.127, -0.12, 0,2, 0.33, 45/10

This probably is a little more complicated than the average least to greatest problem. The part that used to throw me off was the fact that they all had different amounts of numbers behind the decimal. I learned to just add as many zeros BEHIND the given decimal to even it out.

Another thing that might be throwing you off is the negatives. I learned this pretty quickly, but I do know some people you didn't. The greater the number, the further left the order / number line it belongs. So, if it were -0.9 and -0.7 then -0.9 would have a lesser value, in this case. ONLY WITH NEGATIVES!!

Hope this helped!

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Step-by-step explanation:

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago

Please help answer!!!! <br> will try and give brainliest if i can.<br> need all four answers!

Ivahew [28]

Answer:

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b is 17.5

c is 9

Step-by-step explanation:

I do not know if all of these are right

6 0

3 years ago

Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t

Jet001 [13]

We are given the quadratic:

$f(x)=x^2-8x+15$ , with a=1, b=-8, c=15.

We know that the x-coordinate of the vertex, which is the point where the line of symmetry passes through is

$\displaystyle{ -\frac{b}{2a}$ .

Thus, the x-coordinate of the vertex is $-\frac{b}{2a} =-\frac{-8}{2\cdot1}= \frac{8}{2}=4$ .

Thus, the line of symmetry is x=4.

Answer: <span>B. The line of symmetry should have been 4 instead of –4. </span>

6 0

3 years ago