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2 years ago

9

Evaluate g(x)=4 -3x when x=-3,0, and 5

1 answer:

4vir4ik [10]2 years ago

6 0

Answer:

-11

Step-by-step explanation:

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Anika [276]

Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm

6 0

2 years ago

Madison created two functions.

Degger [83]

Madison created two functions.For Function A, the value of y is two less than four times the value of x.

The table below represents Function B.
-3,-9
-1,5
1,-1
3,3

In comparing the rates of change, which statement about Function A and Function B is true?

A.

Function A and Function B have the same rate of change.
B.

Function A has a greater rate of change than Function B has.
C.

Function A and Function B both have negative rates of change.
D.

Function A has a negative rate of change and Function B has a positive rate of change.

C is correct

3 0

2 years ago

Read 2 more answers

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

The numbers of calories per serving for various snakes foods are listed below.

Elanso [62]

Answer:

B. 108 calories

Step-by-step explanation:

The mean number of a data set is

$\text{Mean}=\dfrac{\text{The sum of all calories in products}}{\text{The number of products}}$

Corn chips: 230 calories

Popcorn: 25 calories

Potato chips: 115 calories

Pretzels: 62 calories

Thus,

The sum of all calories $=230+25+115+62=432$

The number of productrs = 4

The mean number of calories $=\dfrac{432}{4}=108$

3 0

3 years ago

How to tell if an inverse is a function without graphing?

Y_Kistochka [10]

A function's inverse will itself be a function if the original function is one-to-one. Meaning it passes the horizontal line test.

7 0

3 years ago