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3 years ago

Find the inverse of the function.

1 answer:

7 0

<span>STEP 1: Stick a "y" in for the "f(x)" guy:STEP 2: Switch the x and y. ( because every (x, y) has a (y, x) partner! ):STEP 3: Solve for y:<span>STEP 4: Stick in the inverse notation, continue. 1 2 3.

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You might be interested in

Gcf of -15xyz, -55xy²,- 55yz

GalinKa [24]

Answer:

-5y

Step-by-step explanation:

15 = 3×5

55 = 5×11

-15xyz = -1 × 3 × 5 × x × y × z

-55xy² = -1 × 5 × 11 × x × y²

-55yz = -1 × 5 × 11 × y × z

HCF = multiply all common factors with the lowest power amongst all 3 expressions

HCF = -1 × 5 × y = -5y

3 0

1 year ago

Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She

snow_tiger [21]

Answer:

balloons= 9

candles= 8

Step-by-step explanation:

let the number of balloons be x

and candles be y

15x+8y=192----------1

x+y=17--------------2

from 2, x= 17-y

put x= 17-y in 1

15( 17-y)+8y=192

255-15y+8y=192

solve for y

-7y=192-255

-7y=-63

x=63/7

x=9

put x= 9 in 1

9+y=17

y= 17-9

y=8.

7 0

3 years ago

the sum of the reversed number and the original number is 154. Find the original number, if the ones digit in it is 2 less than

VladimirAG [237]

Answer:

The number is 86

Step-by-step explanation:

Let the number be $xy$ , then the reverse is $yx$

The sum of the reversed number and the original number is 154,

$\implies (10x+y)+(10y+x)=154$

We simplify this to get:

$\implies 11x+11y=154$ ....eqn(1)

If the ones digit in it is 2 less than the tens digit, then

$y=x-2$ ....eqn(2)

Putt equation (2) in (1)

$\implies 11x+11(x-2)=154$

$\implies 11x+11x-22=154$

$\implies 11x+11x=154+22$

$\implies 22x=176$

$\implies x=8$

Put x=8 in the second equation:

$y=8-2=6$

The original number is 86

7 0

2 years ago

Read 2 more answers

In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou

Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z*= Critical value

$\hat{p}$ = sample proportion.

As per given , we have

Significance level : $\alpha=1-0.99=0.01$

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

$\hat{p}=0.22$

Now, required confidence interval for proportion of people in the country that have red hair will be :-

$0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}$

$0.22\pm (2.576)\sqrt{0.000442268}$

$0.22\pm (2.576)(0.02103)$

$(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)$

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0

2 years ago

PLEASE HELP!! answer the question in the photo

Ivan

The answer will either be E or 38

3 0

2 years ago