Solve picture question. Mathematics.

Answers

Answer 1

Answer: The slope intercept form is
y = mx + c
4x + 9y = -36

We should rearrange to keep it in y = mx + c order
And therefore we do this:

take the x to the other side

9y = -4x - 36

Divide both sides by 9 to be y alone

$(9y)/(9)$ = $(4x - 36)/(9)$
9 and 9 cancels out

y = $-(4x)/(9)$ - 4

The first option is the answer

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What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?C= a/((a+12)) ∙ 180
C = child’s dosage in milligrams
a = age of the child
A = adult dosage in milligrams

Answers

Answer:

60 milligrams is the right dosage for the child.

Step-by-step explanation:

The given expression is

$C=(a)/((a+12)) * 180$

Where $a=6$ , because according to the problem, the child is 6 years old.

Replacing and solving, we have

$C=(6)/((6+12) )* 180=(6)/(18 )* 180=60mg$

Therefore, if the adult dosage is 180 milligrams, and the child is 6 years old, the right dosage is 60 milligrams.

c+ childs dosage in miligrams

What is fx over gx when fx is -2x^3+x^2+16x-15 and gx is x + 3

Answers

If f(x)=-2x³+x²+16x-15 and g(x)=x+3, we can substitute the polynomial in for f(x) and the binomial for g(x) like so:
$(2 x^(3)+ x^(2)+16x-15 )/(x+3)$

The next step is to factor the numerator by grouping in the hopes that something will cancel!
$((2 x^(3)+ x^(2)) +(16x-15) )/(x+3) \n ( x^(2) (2x+1)+16x-15)/(x+3)$

Unfortunately, because we can't factor anything out of the second grouped pair, that means there's no simplifying possible! So...
$(f(x))/(g(x)) = (2 x^(3)+ x^(2) +16x-15 )/(x+3)$

Hope this helps!

Which if the following is a consequence of the identity sin 2x=2(sin x)(cos x ) ?A. sin y = (sin 1/2y)
B. sin 3y= 3( sin 2y)(cos y)
C. sin 4y= 2( sin 2y) ( cos 2y)
D. sin 4y= 4 ( sin 2y) ( cos 2y)
E. sin 8y= 2 ( sin 4y) (cos 2y)

Answers

$sin2x=2sinxcosx\n\nAnswer:C.\ sin4y=2sin2ycos2y\n\nbecause:\n\nsin4y=sin[2(2y)]=2sin2ycos2y$

The measure of central angle RST is radians. What is the area of the shaded sector? 4Pi units squared8Pi units squared
16Pi units squared
20Pi units squared

Answers

Answer:

" $8\pi$ units squared"

Step-by-step explanation:

The image of the circle is attached.

The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.

Area of circle is given as:

$A=\pi r^2$

Where

A is area

r is the radius

Looking at the pic, the radius is "4", so we substitute and find area of circle:

$A=\pi r^2\nA=\pi (4)^2\nA=\pi (16)\nA=16\pi$

THe shaded area is HALF of that, so:

Area of Shaded = $(16\pi)/(2)=8\pi$ sq. units.

Answer is " $8\pi$ units squared"

Answer:

its 8

Step-by-step explanation:

i got it right

How do you solve this 3 = 4x+31/5

Answers

3=4x+31/5
3=4x+6.2
3-6.2=4x-+6.2-6.2
3.2=4x
3.2/4=4x/4
0.8=x

If an object has a mass of 50 kilograms, what would it weigh on Uranus, where the acceleration due to gravity is. 10.5 meters/second2?

Answers

Mass of n object : m = 50 kg.
On Uranus : g ( Uranus ) = 10.5 m/s²
Weight = Mass x Acceleration due to gravity
Weight = 50 kg · 10.5 m/s² = 525 kgm/s² = 525 N

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Help please thanksss!! :)