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olasank [31]
3 years ago
14

If f(c) = x3 +4x and g(x) = -2x +1 , then f(g(3)) = ?

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

NBzqjkc

Step-by-step explanation:

kjsnmjcbhadsK

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Help please !!!!!!!!
Sidana [21]
It’s d because it is a negative slope and the b intercept is negative so it never is in the first quadrant
5 0
3 years ago
Tara has 24 pints of green paint. She uses 1 4 of it to paint a landscape and 5 8 of it while painting a clover. She decides tha
AfilCa [17]

Answer:Tara will need to buy more 8 2/3  pint of green paint.  

Step-by-step explanation:

Total amount of green paint Tara has =24 pints

Amount used to to paint a landscape =1/4 x 24= 6

Amount used To  painting a clover.= 5/8 x 24= 15

 Amount of paint remaining = Total paint - Amount used up in painting landscape and clover

= 24 - ( 15+ 6)

24-21

=3 pints left

Since she needs 11 2/3 pints of green paints , she will  need

11 2/3 - 3 = 8 2/3 .

Therefore she will need to buy more 8 2/3  pint of green paint.  

6 0
3 years ago
Prove algebraically that the straight line with equation x=2y+5 is a tangent to the circle with equation x^2+y^2=5
zmey [24]

Differentiate both sides of the equation of the circle with respect to x, treating y=y(x) as a function of x:

x^2+y^2=5\implies2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy

This gives the slope of any line tangent to the circle at the point (x,y).

Rewriting the given line in slope-intercept form tells us its slope is

x=2y+5\implies y=\dfrac12x-\dfrac52\implies\mathrm{slope}=\dfrac12

In order for this line to be tangent to the circle, it must intersect the circle at the point (x,y) such that

-\dfrac xy=\dfrac12\implies y=-2x

In the equation of the circle, we have

x^2+(-2x)^2=5x^2=5\implies x=\pm1\implies y=\mp2

If x=-1, then -1=2y+5\implies y=-3\neq2, so we omit this case.

If x=1, then 1=2y+5\implies y=-2, as expected. Therefore x=2y+5 is a tangent line to the circle x^2+y^2=5 at the point (1, -2).

7 0
3 years ago
Read 2 more answers
What are the possible solutions for the following inequality? 2(x-3) - 4x >8
kondaur [170]

Answer:

x is less than -7

Step-by-step explanation:

I'm not sure how to get the greater than or less than symbols, so I used the "greater/less than or equal to" symbols to represent those...

2(x-3)-4x\geq 8\\2x-6-4x\geq 8\\2x-4x-6\geq 8\\-2x-6\geq 8\\-2x\geq 8+6\\-2x\geq 14\\x\geq -7\\x\leq -7

3 0
2 years ago
What is the slope of the line that passes through the points
Yuki888 [10]

Answer:

The slope of line for (10,-6) (10,-6) is 0  and for (8,-16) and (8,-16) is 0.

Step-by-step explanation:

<em> y2-y1/x2-x1</em>

(10,-6) (10,-6)

-6-(-6)/10-10

-6+6/10-10

0/0

0

(8,-16) and (8,-16)

-16-(-16)/8-8

-16+16/8-8

0/0

0

6 0
3 years ago
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