Find the roots of f(x)=x^2 + 10x -96

Answer: 602 miles

Step-by-step explanation:

The average rate of speed is calculated by the formula;

= Distance / Time

You need to convert the time into hours. Time is 5 hours 30 mins.

Convert those minutes to hours:

1 hour is 60 minutes so 30 minutes would be:

= 30 / 60

= 0.5 hours

Total time = 5 hours + 0.5 hours

= 5.5 hours

Now go back to speed equation:

Speed = 3,311 / 5.5

= 602 miles

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Include the areas of five faces.

The surface area that will be painted is 376 ft2.

Step-by-step explanation:

Answer:

Include the areas of five faces

The surface area that will be painted is 376 ft2.

2 and 4

Answer:

√(564×564)=√564²=±564

Answer:

[tex]±564.[/tex]

Step-by-step explanation:

[tex] \sqrt{564 \times 564} [/tex]

[tex] \sqrt{ {564}^{2} } [/tex]

[tex]±564.[/tex]

Answer: You would need at least 5 arrangements to make Blooms a better deal

Step-by-step explanation:

Petals Plus

y= 35.17x+67

Blooms

y= 25.03x+108

35.17x+67 =25.03x+108

10.14x= 41

x= 4.05

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

A. First you look along the x-axis and then the y-axis to find coordinate A, doing this we could see that point A is (-3,-2)

B. Do the same for this question. Go along the x-axis to 3 and then go up 4 spaces along the y-axis, and mark an x to inicate that its their.

Answer:point a is at (-3,-2)

Step-by-step explanation:

Answer:

Here's a screenshot. Hope this helps

Answer:

i think

]-infinte,1[u]1,+infinte[

[tex] \implies \sf \boxed{ \sf7.71}[/tex]

The remainder is 5 when 54 is divided by 7.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

Given:

We have to divide 54 by 7.

So, the division is

                            7 | 54 | 7

                                  49

                              -_____

                                     5

Then, the remainder is 5 because we do not have number further and 5 is smaller than divisor.

Learn more about Division here:

brainly.com/question/21416852

#SPJ5

Answer:

4.5 just put 5

Step-by-step explanation:

9 divided by 8 = 1.125

1.125 × 4 = 4.5

Answer:

thi is the answer 3.66981132

Step-by-step explanation:

u just divided it

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

Answer:

Yes it is possible

Step-by-step explanation:

Answer:

1) x = 14

2) x = 25

Step-by-step explanation:

1)

3x - 2 + 50 = 90

3x + 48 = 90

3x = 42

x = 14

2)

4x + 2 + 78 = 180

4x + 80 = 180

4x = 100

x = 25

Answer:

Step-by-step explanation:

Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.

(10-x)(3x-9)=0 when

10-x=0, x=10

3x-9=0, x=9/3=3

So there are two solutions when x=3 and x=10

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ7

Answer: approximately 15

Step-by-step explanation:

Answer:

radius = 5.48ft

Step-by-step explanation:

The formula for the circumference of a circle is: C = πr² or pie times the radius squared.

Now that we know this, we can plug in the equation.

94.25 = πr²

÷π         ÷π

30 = r²

√30 = √r²

5.48 = r

So, the radius of the circle is 5.48 ft

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

Answer:

Step-by-step explanation:

Let the missing percentage be x%

We can also write that as x/100

According to the question,

[tex]125 \times \frac{x}{100} = 200 \\ 125x = 200 \times 100 \\ 125x = 20000 \\ x = \frac{20000}{125} \\ x = 160[/tex]

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

learn more on linear equation here:https://brainly.com/question/13314270

Answer:

5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes

Step-by-step explanation:

for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee.  5*.4=2 +3.2=5.2      10*.4=4 +3.2=7.2

For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.

Answer:

0.3h

Step-by-step explanation: