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3 years ago

What is the solution to the system of equations?

1 answer:

7 0

The value for x is already given; x = -2

Substitute -2 in for x in the second equation.

y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3

The final answer is (-2, 5/3).

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Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$

Step-by-step explanation:

We know that a general exponential function is like, $y=a(b)^{x}$

We can find the answer by hit and trial method by plugging the values of $(x,y)$ coordinates.

Here we are going to solve this with the above general formula.

So as the points are $(1,16)$ then for $x=1,\ y=16$

Can be arranged in terms of the general equation.

$ab^1=16$ ...equation(1) and $ab^4=128$ ...equation(2)

$a\times b=16, then\ a=\frac{16}{a}$

Plugging the values in equation 2.

We have

$\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2$

Plugging $b=2$ in equation 1.

We have $a=\frac{16}{b} =\frac{16}{2} =8$

Comparing with the general equation of exponential $a=8$ and $b=2$

So the function which depicts the above points = $y=8(2)^x$

From theoption we have B as the correct answer.

7 0

4 years ago

HELP ASAP PLSSSSSSS

AysviL [449]

It would be B because eaxh section either repeats itself or is close to repeating its previous part

7 0

3 years ago

I need help ASAP!! Please explain how to do solve the problem.

olga55 [171]

Answer:

Step-by-step explanation:

The co-ordinates of the smaller and larger triangles are 4,5 3,2 & 6,3 and 12,15 9,6 18,9

To find out dilation factor,

Co-ordinates of smaller triangles* dilation factor=co-ordinates of

larger triangles(or use (kx,ky) where k is the dilation factor and x and y are the co-ordinates)

(4,5) (3,2) (6,3)k=(12,15) (9,6) (18,9)

Equate and solve,

k=(12,15) (9,6) (18,9)/(4,5) (3,2) (6,3)[Informal]

k=3

6 0

3 years ago

Triangles A B C and F D E are shown. Angle A C B is 83.5 degrees. Angle D E F is 62.7 degrees. The lengths of sides B C and D E

DedPeter [7]

Answer:

AB= FD

Step-by-step explanation:

I JUST THINK IT

I AM NOT SURE

7 0

3 years ago

I need some help on 9 and 10

Bogdan [553]

Answer:

question 9

92/11 or 8.36

Step-by-step explanation:

angle on straight line is 180

:. 10x+1 + 12x-5 = 180

collect like terms

10x+12x = 180+5-1

22x = 184

divide both sides by the coefficient of x

22x/22 = 180/22

:. x = 180/22(to d lowest form= 92/11)

or 8.36

7 0

3 years ago