Write a polynomial function that has the given zeros.
-3,3, 2/3

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

∵speed = distance/time taken

= 100/9.83

= 10.17 m/s

Now we know, 1 km/h = 1000/3600 m/s

so, 1 m/s = 3600/1000 km/h = 18/5 km/h

∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h

Hence, average speed = 36.612 km/h

Step-by-step explanation:

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

Hence, average speed = 36.612 km/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

[tex]25x - 4y = 50[/tex]

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

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Answer:

5 5/7

Step-by-step explanation:

-4•6/7•-5/3

Put the numbers as fractions

-4/1•6/7•-5/3

Rewriting

-4/1 * 6/3 * -5/7

Simplifying the middle fraction

-4/1 * 2/1 * -5/7

Multiply the first two terms

-8/1 * -5/7

Multiplying

40/7

Changing from an improper fraction to a mixed number

7 goes into 40 5 times with 5 left over

5 5/7

Answer:

40/7

Step-by-step explanation:

difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17

Answer:

15

Step-by-step explanation:

think the number is x

according to the question

32-x=17

-x=17-32

-x=-15

x=15 (divide both side by -1)

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

Answer: 4x+8=12

Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader

Answer:

16.225

just times 2.5 times 6.49

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

Answer: 10000

A.) 4170m above sea level ;3330m below sea level

B) 1670 m from the base.

Step-by-step explanation:.

Given that:

Mauna Loa :

4,170 meters (from sea level to summit)

-5000 meters (base of mountain to sea level)

Depth of probe dropped from summit of Mauna Loa = 7500 m

Height of probe relative to sea level :

Depth of probe - height of Mauna Loa(from sea level to summit)

7500 m - 4170 m = 3330 m

Hence, height of probe relative to sea level :

4170m above sea level

3330m below sea level

Distance of probe from base of volcano:

Total depth of Mauna Loa = (4170 + 5000) = 9170m

Total depth of probe = 7500 m

Distance of probe from base :

9170 - 7500 = 1670 m

The probe is 1670 m from the base of the volcano.

Answer:

..jkbiuhlihuhiuuhi

Step-by-step explanation:

kguykguyufkyugyyguygyggkuy

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

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Answer:

x = 80

Step-by-step explanation:

x + 30 = 110 (opposite sides are congruent/equal)

x = 110 - 30 (subtract the 30 from both sides to get X by itself)

x = 80 (simplify)

Answer:

Step-by-step explanation:

Given the expression a = 3/b

as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;

If b = ∞

a = 3/∞

a = 0

Note that for any constant value a, the ratio a/∞ will always tends to zero

Answer:

D

Step-by-step explanation:

1 cm is 18 miles. if you have 14 cm you multiply 14 cm by 18 miles. you get 252 miles for 14 cm.

Answer:

3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?

Step-by-step explanation:

All you do is you find a problem that would give you 5/2 then create a word problem.

Answer:

d. none of these

Step-by-step explanation:

Answer:x<-7/3

Step-by-step explanation:

Answer: X > -7/3

Step-by-step explanation:

-3x + 8 < 15

subtract 8 from both sides

-3x < 7

divide by negative 3

Also, when dividing or multiplying by a negative you flip the sign.

x > -7/3

Answer :)

9514 1404 393

Answer:

Step-by-step explanation:

Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...

  (27 -v +4) +2(v +4) = 43

  27 -v +4 +2v +8 = 43 . . . . eliminate parentheses

  v +39 = 43 . . . . . . . . . . . . . collect terms

  v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides

  v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age

  27 -v = 23 . . . . . Krishna's age

Vickey's age is 4; Krishna's age is 23.

Step-by-step explanation:

If that says 4.62x10⁸, then you would do

300,300,000/4.62x10⁸

where you would get 0.65

so the average cost per tin of beans is 65p

The average cost of each tin of beans = 0.602 million per tin.

The total tin of beans sold last year = 4.62 x 108+

= 498.96

The total cost of the beans sold last year = £300.3 million

If 498.96 tins = £300.3 million

1 tin of beans = £X

Make £X the subject of formula,

£X = £300.3 million/498.96

£x = 0.602 million

Therefore, the average cost of each tin of beans = 0.602 million per tin.

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Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Answer:

The answer is A.

Step-by-step explanation:

A- slope is 7

B- slope is 3

C- slope is 4

D- slope is 6

The first option, [tex]y=7x[/tex] has greatest rate of change.

Any relationship which have greatest slope, that relationship will also have greatest rate of change.

First option is,  [tex]y=7x[/tex] , compare with y = mx

Slope = 7

Slope of option B is,  [tex]=\frac{12}{4} =3[/tex]

Slope of option C is,  [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]

Slope of option C is,  [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]

From slope of all options , it is observed that  function y = 7x has greatest slope.

Hence, first option y = 7x has greatest rate of change.

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Answer:

The answer to number 9 is d

Step-by-step explanation:

The Amplitude is pi and the period also is the right number if you use teh mathematical formula. 2pi ÷ pi^2 is 2÷pi, so it basically has to be d, since a and b don't have the correct Amplitude and c doesn't have the correct period.

Answer:

Two additional premium channels were ordered

Step-by-step explanation:

Linear Modeling

It consists of describing a real situation with a mathematical function that corresponds to a straight line.

An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.

The linear model for the charges of the company is:

c(x) = 90 + 12x

Where x is the number of additional premium channels.

Knowing that one month the charge was $114, we can find x:

114 = 90 + 12x

Subtracting 90:

114 - 90 = 12x =24

Dividing by 12:

x = 24/12

x = 2

Two additional premium channels were ordered

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

Answer: In order to begin figuring that out, we need to know how both of their plans work.