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3 years ago

Which fraction is equivalent to 0.052

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

.052 = 52/1000 = 26/500 =

13/250

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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

4 years ago

Chicago has a temperature of -8°F. Seattle has a temperature colder than Chicago. Select all value that could represent the temp

mihalych1998 [28]

Answer:

-10°F, -13°F, and -21°F

Step-by-step explanation:

we are looking for a temperature that is less than -8

-10°F, -13°F, and -21°F are all less than -8

4 0

3 years ago

CAN SOMEONE PLEASE SHOW ME HOW TO DO THIS IM CONFUSED!!!!!

Mnenie [13.5K]

Answer:

D. 160J

Step-by-step explanation:

Work = Force * Distance

but where is the force?

from here:

weight (not mass) is a force unit (Newtons) so it can be used here.

How do we get weight?

Mass * G

what is G?

gravity force... and it equals 9.8

so you take the box's mass (9.10)

multiply by 9.8 (9.10*9.8 = 89.18)

then plug into the first equation as the force (work= 89.18 * distance)

we also plug In the distance (work = 89.18 * 1.8)

and solve for work! (work = 89.18 * 1.8 = 160.52400)

then round the to the closest one (160)

and there you go! you've got your answer!

Hope this helps,

Yotam

P.S you can comment back if you are still confused and I will try to explain it again better.

8 0

4 years ago

Fill in the blanks to complete the equation that describes the diagram.

melamori03 [73]

Answer:

4+ -6 = -2

Hope this helps! Have a nice day!

Step-by-step explanation:

5 0

3 years ago

I need help please solve, if you can solve you are the best. \-x+sqrt1−x 2 \-=sqrt2(2x 2 −1).

puteri [66]

Answer:

i think it is 1/4

7 0

3 years ago