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Shalnov [3]
3 years ago
7

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

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

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.

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Please help me which expresión is equivalent 2^2 times 2/2^4 pls don’t tell me to go to a website just show me how to do it or t
NikAS [45]

Answer:

b

2 to the power of negative 1

Step-by-step explanation:

7 0
2 years ago
Could someone help me
Mekhanik [1.2K]

Answer:

the third one and the last one is correct

Step-by-step explanation:

we already know the second one is wrong because of it's set up.

just replace the points (-1,7) into each equation. if it doesn't work then move on to the next one. if it does work, then use that same equation except this time to the coordinates (2,4)

5 0
3 years ago
the ratio of weight to mass is constant.which statement describes the ratio of weight to mass and the value of x in the table
anzhelika [568]

HERE IS THE FULL PROBLEM!!!!

the table below lists four names and their corresponding aproximant weights on earth.

________________________________

mass (kilograms)     |     weight (newtons)

      20                     |              196

      50                     |              490

       x                       |            1078

     130                     |             1274

     140                     |              1372

the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?

A. 98/10; X =90

B. 98/10; =110

C. 10/98; X =90

D. 10/98; X= 110

6 0
3 years ago
A drink is made by mixing 650 ml of water with 150 ml of fruit juice.
Luda [366]
<h2>○=> <u>Correct answer</u> :</h2>

\boxed{\color{hotpink}\tt18.75\%} of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

=\tt 650 + 150

\color{plum}=\tt 800 \: ml

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

=  \tt\frac{x}{100}  \times 800 = 150

= \tt \frac{x \times 800}{100}  = 150

=\tt  \frac{800x}{100}  = 150

=\tt 8x = 150

=\tt x =  \frac{150}{8}

\hookrightarrow\color{plum} \bold{x = 18.75\%}

Then, the percentage of water in the drink :

= \tt100 - 18.75

\color{plum}= \tt81.25\%

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0
3 years ago
Read 2 more answers
Evaluate this expression what is <br> b=-6 and c=7.c-7b
VLD [36.1K]

Answer:

49

Step-by-step explanation:

substitute b = - 6 and c = 7 into the expression and evaluate

c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49


7 0
2 years ago
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