Determine which consecutive integers do not have a real zero of f(x) = x^3+5x^2 -x -6 between them.
(-6,-5)
(-2,-1)
(-5,-4)
(1,2)

Answers

Answer 1

Answer:

(-6, -5).

Step-by-step explanation:

If there is a zero between the integers there will be a change of sign of f(x).

x^3 + 5x^2 - x - 6

f(1) = 1 + 5 - 1 - 6 = -1

f(-1) = -1 + 5 + 1 - 6 = -1

f(2) = 8 + 20 - 2  -6 = 20

There' a change of sign between f(1) and f(2) so there is a zero between (1, 2).

f(-2) = -8 + 20 + 2 - 6= 6

So there is also a zero between -1 and -2. (-2, -1)

F(-4) = 14,  f(-5) = -1  = change of sign so there is also a zero  in (-5,-4)

f(-6) = -36 - no change in sign between -5 and -6.


Related Questions

solve: 3(x+4)= 12 + 3x

Answers

Answer:

All solutions

Step-by-step explanation:

Regardless of what x equals the answer will work

Answer:

x=2

Step-by-step explanation:

3(x+4)= 12 + 3x

x=2              12+3x

3(2+4)          x=2

3x6                3x2=6

18                      12+6=18

x2 + y2 + 6x – 4y - 15 = 0
Find the center and radius of the circle

Answers

Radius is square root of square root of 28 and center is (-3,2)

A bag contains 2 red, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow or a red.

Answers

Answer:

drawing a red marble would be 2 in a 14 or 1/7 chance n drawing a yellow would be 1/2.

The probability of drawing a yellow marbles is 1/2

What is probability ?

Probability means the quality or state of being probable; the extent to which something is likely to happen or be the case

We have,

Bag contains marbles

Red=2

Blue=5

Yellow=7

Total marbles in bag = 2+5+7=14

The total number of ways of selecting one marble out n(s) = 14[tex]C_{1}[/tex]

                                                                                                      = 14 ways

Let E be the event of selecting yellow marbles

Since, the bag contains 7 yellow marbles

one yellow marble can be draw from 7 yellow n(E) =7[tex]C_{1}[/tex]

                                                                                        = 7 ways

We know the formula,

P(E)= n(E)/n(s)

       = 7/14

        = 1/2

Hence, the probability of drawing a yellow marbles is 1/2

To learn more about probability from here

https://brainly.in/question/3144050

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What is the circumference of the circle? Use 3.14 for pi
d= 33 cm

Answers

Answer:

103.62 cm

Step-by-step explanation:

c=pid

3.14(33)=103.62

Answer:

circumference = 2πr (r = d/2)(r=16.5)

=2×3.14×16.5

=103.62

Step-by-step explanation:

HOPE IT HELPS YOU

WILL GIVE BRAINLIEST. Billy ordered a pizza with a crust that is 10π inches long. What is the area of the pizza?

Answers

Answer:

~31.42

Step-by-step explanation:

I multiplied 10 x pi and it gave me 31.4159265359 and I rounded up to 31.42

WILL MARK BRAINLIEST

Prism M and pyramid N have the same base area and the same height. Cylinder Pand prism Q have the same height and the same base
perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures_____and_____have the same volume.
1.)
Prism M
Cylinder P
Cone Z
2.)
pyramid N
Prism Q
Cylinder Y

Answers

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

hope that helps love!

1. 4x - 5 ( for x is 4 )
2. 2a + 5 ( for a is 3 )
3. 6(n-5) + 3 ( for n is 9 )
4. 2( 3y - 2) for y is 2

Answers

Answer:

11

12

24

16

substitute variable for the number and solve  

1. 11.
2. 11
3. 27
4. 8

what is the solution of 3x+8/x-4>0

Answers

Answer:

x > 0

This should be the answer :D

Answer:

X>0

Step-by-step explanation:

Hey guys I really need help with this one exercise soo maybe can someone plzz help for 20 points? Write also the whole detail of your answer plz!

Math problem: There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)

Answers

Answer:

10%

Step-by-step explanation:

Answer:

The percentage showed up for work is 8.556 %

● Given that total number of Carpenters is 36.

● On a certain day only 29 carpenters were present.

● To calculate the percentage we have to divide the number of carpenters present on that specific day by the total number of carpenters and multiply the product with 100 i.e., we have to divide 29 with 36 and multiply it with 100.

Percentage = (29 / 36) * 100

= (0.80556) * 100

= 80.556

● Therefore the required percentage is 80.556%

Step-by-step explanation:

Please Answer !! A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of almonds and 6 pounds of jelly beans, the total cost is $20. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

Answer:Let x = number of pounds of jelly beans

      y = number of pounds of almonds.

 

Then, 4x + 8y = 33

          2x + 3y = 13

 

Multiply the second equation by -2 to get the system:

 

4x + 8y = 33

-4x - 6y = -26

 

Adding the equations, we get 2y = 7.  So, y = 3.5

 

Substitute for y in either of the given equations:  2x + 3(3.5) = 13

                                                                                     2x + 10.5 = 13

                                                                                                 2x = 2.5

                                                                                                   x = 1.25

What is the relationship between the diameter and radius?
(1 Point)
d=r2
2r=d
2d=r
O
rxr=d

Answers

Answer:

2r = d

Step-by-step explanation:

Diameter is two times of radius.

Diameter = 2 x radius

2 r = d

plz help i need this asap

Answers

Answer:

option B

Step-by-step explanation:

In 2010 Harry bought 200 shares in ford motors company stock for 35.21 per share in 2018 he sold the shares for 26.78 each express his capital loss as a percent

Answers

Answer:

23.94%

Step-by-step explanation:

In 2010, Harry bought 200 shares in ford motors company stock for $35.21 per share. This means that the cost price of buying the 200 shares is:

C = 200 * 35.21 = $7042

In 2018, he sold the shares for $26.78 per share. The selling price of 200 shares is:

S = 200 * 26.78 = $5356

The loss is given as the cost price minus selling price. That is:

L = CP - SP

L = 7042 - 5356

L = $1686

Percentage loss is given as loss divided by cost price multiplied by 100:

%L = 1686 / 7042 * 100

%L = 23.94%

write an equivalent ratio to 2:7​

Answers

Answer:

4:14

Step-by-step explanation:

What is the lateral surface area of this triangular prism in square centimeters?

Answers

Answer:

lateral surface area of the triangular prism = 128 cm²

Step-by-step explanation:

The question is incomplete the picture below represents the complete question.

Lateral surface area of a triangular prism = PH

where

p = perimeter of the triangle

H = height of the prism

perimeter = 5 + 5 + 6 = 16 cm

height of the prism = 8 cm

Lateral surface area of a triangular prism = Perimeter of the triangle × height of the prism

lateral surface area of the triangular prism = 16 × 8

lateral surface area of the triangular prism = 128 cm²

Sasha makes a wooden base for a sculpture with the dimensions shown.

The sculpture is too heavy for the base, so she needs to add a brace from

point C to point E to make the base stronger.

How long does the brace need to be? Round your answer to the nearest tenth.

a) 3.4 ft

b) 4.6 ft

c) 5.4 ft

d) 9 ft

Answers

c? if im wrong so sorry!

A skate board was originally priced at £100 on Thursday.
On Friday the price was reduced by 50%. On Saturday, Friday's price was reduced by a further 30%. On Sunday, Saturday's price was reduced by a final 10%.
What was the final percentage reduction on the original price?

Answers

Answer:

31.5

Step-by-step explanation:

50 percent of 100 would be 50, so you subtract 50 from 100, and 30 percent of 50 is 15, so you subtract 15 from 50 and then get 35, which 10 percent of is 3.5, and finally you subtract 3.5 from 35 and you end up with 31.5.

simplify the expression:
20m^3
over
32m^5

Answers

Answer:

5 over 8m ^2

Step-by-step explanation:

20m^3

32m^5

m^3 divided by m^5 equals one over m^2.

20 divided by 32 is 5 over 8.

Multiply these and you'll get 5 over 8m^2

Answer:

0.00023841857

125/524288

Step-by-step explanation:

Decimal form: 0.00023841857

Fraction Form: 125/524288

ANSWER ASAP PLEASE!
(02.01)A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?

4:14
4:10
2:7
2:5

Answers

Answer:

2:7

Step-by-step explanation:

4+10=14

The least common factor is 2.

4/2=2

14/2=7

Answer:

c. 2:7

Step-by-step explanation:

4+10 is 14

2 is the least common factor

4/2 simplified to 2

14/2 simplified to 7

y = − 1/3 x + 2 y = x + 2

Answers

The person above me is correct

a. 45
b. 30
c. 85
d. 90

Answers

I’m pretty sure it’s C but idk? Sorry

ANSWER QUICKLY PLEASE

Answers

Answer:

0,4 meters

Step-by-step explanation:

1. 0,08 x 2 = 0,16 m² (area of the square)

2. √0,16 = 0,4 m (length of one side)

Answer:

00.08 meters

Step-by-step explanation:

growup0.8 32-6=6

Amanda has 14 coins in her pocket that equal 54 cents. All the coins are nickels, n, and pennies, p. Which combination of coins
does Amanda have? Use the table to answer the question.

Answers

10 nickels, n, and 4 pennies, p.

Answer:

The answer to this question is c

Step-by-step explanation:

10 nickels and 4 pennies

help me with number 3 pleaseee

Answers

Answer:

$25.65

Step-by-step explanation:

135 (19%)

$25.65

In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.

Answers

Answer:

[tex]v \approx 415.2\,cm[/tex]

Step-by-step explanation:

The angle T is:

[tex]\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}[/tex]

[tex]\angle T = 75^{\circ}[/tex]

Now, the length of v is determine by the Law of Sines:

[tex]\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}[/tex]

[tex]v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)[/tex]

[tex]v \approx 415.2\,cm[/tex]

sara and megan wanted souvenirs when on vacation. sara bought 3 magnets and 4 picture frames for $41. megan bought 2 magnets and 5 picture frames for $39. how much does magnet cost? how much does the picture frames cost?

Answers

Answer:

idk

Step-by-step explanation:

sorry

PLEASE ANSWER ASAP! 48 POINTS!!

IF YOU ANSWER JUST FOR POINTS I'LL REPORT YOU!!!

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

the first choice has a negative 7 and the second choice has a negative 161 these are both negatives in different places which cause a different reaction

Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?

Answers

Answer:

m∠B = 24°

Step-by-step explanation:

m∠A + m∠B = 180°

m∠A = 5 ( m∠B + 7.2 )

5 ( m∠B +7.2 ) + m∠B = 180

5m∠B + 36 + m∠B = 180

6m∠B = 180 - 36

6m∠B = 144

m∠B = 24°

HELP ILL GIVE YOU 15 POINTS !!!!!! ill mark you as brainliest too if its right

Answers

Answer:

B.

Step-by-step explanation:

[tex]\frac{2}{5} *4=\frac{8}{5}[/tex][tex]x[/tex]

[tex]\frac{2}{5} *-8=-\frac{16}{5}[/tex]

Answer:

b

Step-by-step explanation:

Which fraction represents 25% of the offspring in a genetic cross?

Answers

Answer:

1/4

Step-by-step explanation:

There should be 4 boxes in a genetic cross

Answer:

1/4 because we already know that 1/4 is equal to 25%

Step-by-step explanation:

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