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DerKrebs [107]
3 years ago
6

K=10t−19 Find the output, k, when the input, t is, -7.

Mathematics
1 answer:
aalyn [17]3 years ago
4 0
K= 10(-7) -19
k= -70-19
k=-89
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How do I write a rule for the nth term of the sequence?
crimeas [40]

first of all we have the 5th term and 2nd term

T5=768 =a*r^4

T2=-12=a*r ^1

make a subject of formula in the both equations

that is a=T2/r and T5/r^4

a=12/r and a=768/r^4

when u equate them u will get

-64=r^3 so r=-4 then to find a that is 1st term

since second term is T2=a*r=12 an r=-4 then

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4 0
3 years ago
Write the coordinates of the vertices of a triangle A'B'C' that results from a translation of triangle ABC two units to the righ
gayaneshka [121]

Answer:

A'(4,-6) , B'(0,1), C'(-2,-2)

Step-by-step explanation:

From the given graph the coordinates of ΔABC area A (2,-2), B(-2,5) and C(-4,2)

If a translation is applied on ΔABC two units to the right and four units down  to create ΔA'B'C'.

Then to find the coordinates of ΔA'B'C' will be we need to apply the translation rule

(x,y)\rightarrow(x+2,y-4)

Now, A(2,-2)\rightarrow A'(2+2,-2-4)=A'(4,-6)

B(-2,5)\rightarrow B'(-2+2,5-4)=B'(0,1)

and C(-4,2)\rightarrow C'(-4+2,2-4)=C'(-2,-2)

7 0
4 years ago
Can someone help me with this problem please?
Tom [10]

Answer:

senior tickets sold: 12

child tickets sold:8

Step-by-step explanation:

Let

x= amount of senior tickets sold

y= amount of child tickets sold

For the first equation, it should look like:

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For the second equation, it should look like:

92=7x+y

So this is a systems of equations problem. So I will use substitution as it is easier:

1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.

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y=92-7x

2.) Take the value of y and plug it into "y" into the other equation to solve "x"

200= 14x + 4(92-7x)\\200=14x+368-28x\\(-368)200=-14x+368(-368)\\(-\frac{1}{14})* -168=-14x*(-\frac{1}{14} )\\\\x=12

<u><em>(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)</em></u>

3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)

92=7(12)+y\\(-84)92=84+y(-84)\\y=8

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