The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or 'roots") of the function?

Write one of the zeros.
x= ___​​

Answer:

its b i took the test

Step-by-step explanation:

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

1 km = 1000 m

So,

The ratio becomes,

[tex]\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}[/tex]

So, the required ratio is 21:50.

Answer:

15x+30y-220

Step-by-step explanation:

x - 9 ≤ 2(9 - x)

x - 9 ≤ 18 - 2x

3x - 9 ≤ 18

3x ≤ 27

x ≤ 9

(just handle it like an equation)

Answer:

Your answer is correct

Step-by-step explanation:

B. 112 degrees

Answer:

x = 112

Step-by-step explanation:

x and 68 are supplementary angles so they add to 180

x+68 = 180

x = 180 -68

x = 112

Answer:

answers are 3 and 62

Step-by-step explanation:

the answers were give above. If further instruction needed lmk :)

Answer:

C

Step-by-step explanation:

Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.

Problem 5

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Explanation:

We have these four identities

Notice how computing i^4 leads us back to 1. So i^4 = i^0. The pattern repeats every 4 terms. So we divide the exponent by 4 and look at the remainder. We ignore the quotient entirely. We can see that 28/4 = 7 remainder 0. Meaning that i^28 = i^0 = 1.

We can think of it like this if you wanted

i^28 = (i^4)^7 = 1^7 = 1

Then the sqrt(-36) becomes 6i

So overall, we end up with the final answer of 6i

=============================================

Problem 6

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Explanation:

We'll use the ideas mentioned in problem 5

46/4 = 11 remainder 2

i^46 = i^2 = -1

sqrt(-9) = 3i

The two outside negative signs cancel out, but there's still a negative from -1 we found earlier. So we end up with -3i

In other words, here is one way you could write out the steps

[tex]-i^{46}*-\sqrt{-9}\\\\-i^{2}*-3i\\\\i^{2}*3i\\\\-1*3i\\\\-3i\\\\[/tex]

=============================================

Problem 7

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Work Shown:

i^10 = i^2 because 10/4 = 2 remainder 2

i^19 = i^3 because 19/4 = 4 remainder 3

i^7 = i^3 because 7/4 = 1 remainder 3

Again, all we care about are the remainders.

[tex]i^{10}+i^{19} - i^{7}\\\\i^{2}+i^{3} - i^{3}\\\\i^{2}\\\\-1[/tex]

=============================================

Problem 8

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Work Shown:

i^22*i^6 = i^(22+6) = i^28

Earlier in problem 5, we found that i^28 = i^0 = 1

So,

[tex]i^1 - \left(i^{22}*i^{6}\right)\\\\i^1 - i^{28}\\\\i^1 - i^{0}\\\\i - 1\\\\-1+i[/tex]

Answer:

in ABC if sin A= 4/5

and tan A=4/3

then cos is

cosA=3/5

Answer:

3,1 I'm pretty sure lol....

Answer:

2nd one

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

A

Step-by-step explanation:

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

Answer:

Triangle+ 83.25

Square/ Rectangle = 166.5

Step-by-step explanation:

I need the shape specified

Answer:

The answer is "0.869"

Step-by-step explanation:

Number of sample [tex](n) = 84[/tex]

Number of correct response [tex](X) = 73[/tex]

Calculating the Sample proportion:

Formula:

[tex]\text{Sample proportion}=\frac{\text{number of sample}}{\text{correct responses}}[/tex]

                              [tex]=\frac{n}{X}\\\\= \frac{73}{84} \\\\=0.869[/tex]

Answer:

45 = 3z

Step-by-step explanation:

On the left we have 45

On the right we have 3 z's

45 = 3z

Answer:

45 = 3 z

Step-by-step explanation:

LHS = RHS.

45 = 3 z

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

Answer: Hello your question is complete attached below is the complete question

answer :

P ( student will be admitted early or deferred and later admitted ) = 0.4232

Step-by-step explanation:

P ( student will be admitted early or deferred and later admitted )

 =  (number of student admitted early  +  percentage of admitted students initially deffered * number of deffered students ) / Total number of early applications  

 =  ( 1033 + 0.18 * 964 ) / 2851

 = 0.4232

Answer:

Drinking coffee and drinking water are independent events because

P(A|B)=P(A)and P(B|A)=P(B)

Step-by-step explanation:

Drinking coffee and water are independent events. People can choose to have both, none or any one. It is on their own will. Those who drink coffee can also drink water. The total of people who drink coffee may include those who drink water also.

Answer:

(a)

[tex]\mu=54[/tex]    

The standard deviation is  

[tex]\sigma=6.6543[/tex]

(b)

[tex]\mu=246\\\sigma=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is  

[tex]z=-1.73[/tex]

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

Step-by-step explanation:  

Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.

(a)  

The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is  

[tex]\mu=np=300\cdot 0.18=54[/tex]  

The standard deviation is  

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

(b)  

Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is  

[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is

[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]  

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

Answer:

54cm and 36cm

Step-by-step explanation:

triangle a : triangle b

50cm² : 16cm²

25 : 8

thus,

area of triangle a :

2cm×25cm

=50cm²

area of triangle b :

2cm×16cm

=32cm²

then,

perimeter of triangle a:

2cm+2cm+25cm+25cm

=54cm

perimeter of triangle b:

2cm+2cm+16cm+16cm

=36cm

Answer:

a) Median Height = 66 inches

b) Range of Heights = 18 inches

Step-by-step explanation:

a) The median in a box-and-whisker plot is the second quartile, located between the first and third quartiles indicated by the dashed line. Therefore, the median height is 66 inches.

b) The range in a box-and-whisker plot uses the same process of finding the range of a set of data. You find the difference between the maximum and the minimum values of the data. Therefore, the range of heights is 77 - 59 = 18 inches.

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

Answer:

3, 9, 15, 21

Step-by-step explanation:

3x1=3 v

3x2=6

3x3=9 v

3x4=12

3x5=15 v

3x6=18

3x7=21 v

Skip one each time, 3, 9, 15, 21

Answer:

sí, (yo) quiero un chocolate

Answer:

y = 100

Step-by-step explanation:

y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]

y = c ([tex]x^{2}[/tex] - 2x + 1)

When y = 63, x = 4;

63 = c ([tex]4^{2}[/tex] - 2(4) + 1)

     = 9c

63 = 9c

c = [tex]\frac{63}{9}[/tex]

c = 7

Thus,

y = 4([tex]x^{2}[/tex] - 2x + 1)

The value of y when x = 6 can be determined as;

y = 4([tex]6^{2}[/tex] - 2(6) + 1)

   = 4(25)

y = 100

Therefore, y = 100

Answer:

Y(n) = 400(2.5)^n

Y = 3,814,697 rice weevils

16.1 weeks

Step-by-step explanation:

To predict the population of rice weevil for any week after the start of the study ; wwe use an exponential function for this purpose :

y(n) = A(1 + r)^n

Where;

Y(n) = population at week n

r = growth rate ; n = number of weeks

A = initial population at the start of the study

r = 150% = 1.5

Hence, we have the equation :

Y(n) = 400(1 + 1.5)^n

Y(n) = 400(2.5)^n

B.)

Population after 10 weeks

n = 10

Y(10) = 400(2.5)^10

Y = 400 * 9536.7431640625

Y = 3814697.265625

Y = 3,814,697 rice weevils

C)

When population will reach 1,000,000,000

We have :

1,000,000,000 = 400(2.5)^n

1000000000 / 400 = 2.5^n

2500000 = 2.5^n

Take the log of both sides :

log(2500000) = nlog(2.5)

6.3979400 = n * 0.3979400

n = 6.3979400 / 0.3979400

n = 16.077649

n = 16.1 weeks approximately

Answer:$221

Step-by-step explanation:

Divide 289 by 17

Get 17, then multiply by 13.

Answer:

$221

Step-by-step explanation:

Use unit rates. First find out how much money Rita makes per hour. To do this, simply divide 289/17=17. Rita makes $17 per hour. We want to find out how much money she makes in 13 hours of work. So, we just need to multiply 17$*13=$221

Hope this helps!

Answer:

y=6

the first equation:

3(1)+y=9

3+y=9

y=6

the second equation:

y= -4(1)+10

y= -4+10

y=6

I hope this helped! :)

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

The ratio of all flowers in the vase to daisies is 11 : 5.

Given is that there are 6 roses in a vase of 11 flowers. The rest are daisies.

The number of daisies in the vase → n{d} = 11 - 6 = 5.

Total number of flowers in the vase → n{t} = 11.

The ratio of all flowers in the vase to daisies is -

r = n{t}/n{d} = 11 : 5

r = 11 : 5

Therefore, the ratio of all flowers in the vase to daisies is 11 : 5.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

b

Step-by-step explanation: