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xeze [42]
3 years ago
8

Determine g(x + a) − g(x) for the following function. g(x)=-5x^2-3x+2 g(x + a) − g(x)= ?

Mathematics
1 answer:
Sonja [21]3 years ago
8 0
Easy
g(x+a)
sub x+a for every x in equation

g(x+a)=-5(x+a)^2-3(x+a)+2
g(x+a)=-5(x²+2xa+a²)-3x-3a+2
g(x+a)=-5x²-10xa-5a²-3x-3a+2
so now minus g(x)

g(x+a)-g(x)=
-5x²-10xa-5a²-3x-3a+2-(-5x²-3x+2)=
-5x²-10xa-5a²-3x-3a+2+5x²+3x-2=
-5x²+5x²-10xa-5a²-3x+3x-3a+2-2=
-10xa-5a²-3a


g(x+a)-g(x)=-5a²-10xa-3a




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ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

(x-3)^{2} + (y+4)^{2} = 9 (i)

The general equation of circle is mentioned below,

(x-h)^{2} + (y-k)^{2} = r^{2} (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

(x-3)^{2} = (x-h)^{2}

(x-3) = (x-h)

h = 3

(y+4)^{2} = (y-k)^{2}

(y+4) = (y-k)

k = -4

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0
2 years ago
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can someone please help answer this, thank you, will give brainliest once i can, just please no spam answers, thank you!
AleksandrR [38]

Answer:

t=1p

Step-by-step explanation:

this problem is fairly easy. we will first do is set the equation to equal t also known as the total price. this is because you were trying to determine how much you will have to pay if she buys her food in bulk. you will then equal t to how much it will cost if the food is in bulk. to do this you will multiply 1 (this next she wants to buy weighs 1 kg) and multiply it by p (price per kilogram). Hope this helps!

6 0
3 years ago
(repost) Help Please I will Give brainliest If Correct!!
Eddi Din [679]

Answer:

There are about 7 x 10^6

Step-by-step explanation:

3.5*2029249= 7102347

rounds to 7000000= 7 x 10^6

6 0
2 years ago
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Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?
grigory [225]
                    x + 1
         __________
3x+2 I 3x² +5x -3
           3x² +2x
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                    3x -3
                    3x+2
                    --------
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3 years ago
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How to cross multiple 3/5 by 10
postnew [5]

3/5 by 10  = 6

\frac{3}{5} *10 = 6

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