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2 years ago

Find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4

Mathematics

1 answer:

vesna_86 [32]2 years ago

8 0

Answer:

Step-by-step explanation:

n = the smaller even integer

n +2 = the next even integer

The wording of the question translates into:

2n + (n+2) = -4

3n +2 = -4

3n = -6

n = -2

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Without graphing predict weather the function y= (1/2)x shows exponential growth or decay. Justify your predictions

Alik [6]

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

$y=ab^{x}$

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

$y=(\frac{1}{2})^{x}$

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

5 0

3 years ago

How can I solve this? and can you please tell me how step by step.

Ludmilka [50]

Answer:27/343 or 0.0787172

Step-by-step explanation:

First you need to place the exponent on both the numerator and the demonimator to make 3 to the power of 3 over 7 to the power of 3

Next you evaluate the numerator so 3 to the power of 3 is 27

and 7 to the power of 3 is 343 so your answer in fraction form is 27/343

you can also change into a decimal if you divide the fraction if you need to

Hope this helps

8 0

2 years ago

Read 2 more answers

An amount of $8,000 is invested at a simple interest rate of 1.5%. What is the total amount after 3 years?

aliina [53]

I=PRT
P=8000
R=0.015
T=3

I=8000*0.015*3=360

total amount=8000+360=$8360

6 0

3 years ago

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Use matrices to write the equation of the function in the form y = mx + b that contains the points

Fofino [41]

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7$

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: brainly.com/question/13911928

3 0

2 years ago

sally decided she wanted homework help. no one gave it to her. if over 100 people were on the app to help and 1 person helped ho

olga2289 [7]

Answer:

thats so deep

i see where you are coming from and i see ur point

ppljust need to stop being selfish an helo eachother wetre in a pandemic for christs sake

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2 years ago

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