Which function is positive for the entire interval [–3, –2]?

On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).

On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).

On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).

On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.

To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.

The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.

The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.

The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.

The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.

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Related Questions

Solve 6x + 5 = 3x + 14

Answers

Step-by-step explanation:

6x-3x=14-5

3x=9

x=9/3

x=3

Step-by-step explanation:

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 9/3

x = 3

9.03 which number is in the tenths place​

Answers

Answer:

0

Step-by-step explanation:

think of the decimal as one

Answer:

Step-by-step explanation:

Zero (0) is in the tenths place here.

plz help me I will give u branist and follow u and also give u like plz help me​

Answers

Answer:

2166.53

Step-by-step explanation:

a = 10,000(1.04)⁵

a = 12,166.53

12,166.53 - 10,000 = 2166.53

Please help I’ll give brainliest

Answers

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

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If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?

Answers

Answer:

$4.7 (approx)

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100

cotθ= tan30° find theta

Answers

Answer:

60

Step-by-step explanation:

Cot is the same as 1/tan so:

[tex]1/tan(theta) = tan(30)[/tex]

By rearranging the equation, we get:

[tex]1/tan(30) = tan(theta)[/tex]

By taking the inverse tan, we get:

[tex]theta = tan^-1 (1/tan(30)) =60[/tex]

Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|

Answers

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit

Answers

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2

Answers

Answer:

The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6

Step-by-step explanation:

Please help! What is the division problem represented by this model?

Answers

Answer:

the answer is 42/100

42 blocks are shaded out of 100

please help me answer this

Answers

Answer:

pie

Step-by-step explanation:

Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14

1.
D= 4 in
D= 6 in
D=12 in

2.
R= 2 ft
R= 14 ft
R= 12 ft

3.
R= 9 ft
R= 11 ft
R= 7 ft

4.
D= 10 ft
R= 9 ft
D= 13 ft

Answers

Answer:

BELOW

Step-by-step explanation:

1) C= PD so

a) 12.56

b) 18.84

c) 37.68

2) C=2PR so

a) 2*3.14*2= 12.56

b) 2*3.14*14= 87.92

c) 2*3.14*12= 75.36

3)  C=2PR so

a) 56.52

b) 69.08

c) 43.96

4)

a) 31.4

b) 56.52

c) 40.82

A line with a slope of 3 passes
through the points (2, -1) and (4,5).
Which of the following is not an
equation of the line that passes
through those points?
A. y+1 = 3(x-2)
B. y = 3x-11
C. y = 3x-7
D. y-5 = 3(x-4)

Answers

Answer:

B. y = 3x -11

Step-by-step explanation:

the general equation : (y -y1) = s(x - x1)

with a slope = s = 3

the correct equations are :

passes point (2, -1)

=> y+1=3(x-2) => option A is correct

passes point (4, 5)

=> y-5=3(x-4) => option D is correct

<=> y-5= 3x-12

y = 3x-12+5

y= 3x -7 => option C is correct

so, the incorrect equation is option B.

y = 3x -11

Equation of line in point slope form

y+1=3(x-2)

A is true

y-5=3(x-4)

D is true

Simplify first

y=3x-1

And

y=3x-7

B is false

PLEASE HELP THANK YOU

Answers

Answer:

74 deg

Step-by-step explanation:

Ok, so this is a bunch of steps.

Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]

Answers

Answer:

Step-by-step explanation:

I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:

[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:

[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to

[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to

[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:

[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:

[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to

[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple

[tex]cos^2(x)[/tex]

A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?

Answers

Answer:

28 km per hour

Step-by-step explanation:

First determine the amount of time that the trip took

17:55 - 17:40 = :15 or 15 minutes

We need the time in hours

15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours

To determine speed, take distance and divide by time

7 km ÷( 1/4 hours)

Copy dot flip

7 * 4/1

28 km per hour

Make 'r' the subject of this formula: 3r - 5 = p

Answers

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

3r - 5 = p
3r = p + 5
r = p + 5/3

can someone pls pls help me?

Answers

9514 1404 393

Answer:

  31°

Step-by-step explanation:

The measure of inscribed angle A is half the measure of intercepted arc BC.

  ∠CAB = 62°/2 = 31°

What is the product?

(5r − 4)(r2 − 6r + 4)

5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16

Answers

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

The product of the expressions is 5r^3 - 34r^2 + 44r - 16

What is a product?

The product of two expression is done by multiplying the expressions

The product expression is given as:

[tex](5r - 4)(r^2 - 6r + 4)[/tex]

Expand the expression

[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]

Collect like terms

[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]

Evaluate the like terms

[tex]5r^3 - 34r^2 + 44r - 16[/tex]

Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16

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Busco amigos o amigas :D

Answers

Yo puedo a ser tu amiga

Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7

Answers

Answer:

[tex]x=-4+\sqrt{7}[/tex]

[tex]x= -4-\sqrt{7}[/tex]

Step-by-step explanation:

Quadratic

What is the inverse of the function f(x) = x +3?

Answers

Answer:

The inverse is x-3

Step-by-step explanation:

y = x+3

To find the inverse, exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 =y

The inverse is x-3

Answer:

x - 3

Step-by-step explanation:

f(x) = x + 3

y = x + 3

x = y - 3

Inverse is h(x) = x - 3

6th grade math help me pleaseeee

Answers

Answer:

A

Step-by-step explanation:

Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation

Answers

Answer:

The number is 35.

35 divided by 7 is 5, and 5 plus 7 is 12.

:)

Let's assume the number Sushil was thinking was 'x'

Now lets understand each part,

First, Sushil divides the number by 7, writing this in numbers will give,

[tex]\frac{x}{7}[/tex]

Sushil then adds 7 to digit, this will give

[tex]\frac{x}{7}+7[/tex]

Sushil tells that the answer for the following equation is 12, so

[tex]\frac{x}{7} + 7 = 12[/tex]

Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]

Happy to help :)

If you need any help, feel free to ask

What value of m makes the equation 8am/4a5=2a6 true?

Answers

Answer:

m = 11

Step-by-step explanation:

11 - 5 = 6

The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass

Answers

Answer:

527 grams

Step-by-step explanation:

Use the density formula, d = m/v

Plug in the density and volume, then solve for m (mass):

d = m/v

0.85 = m/620

527 = m

So, the mass is 527 grams

The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13

Answers

Answer:

4, 5, and 7

Step-by-step explanation:

Length of two sides are 4 and 7 feet.

Thier sum = 4 + 7 = 11 feet.

We know that, sum of two sides is always larger than the third side.

So, 4, 5, and 7, can not be the third side here.

Answer: 13

Step-by-step explanation: a= 4,

B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13

Which is the correct expansion of (3x+2)(3x^2+4)

Answers

Answer:6x + 3x^2 +4

depending on what your on

Step-by-step explanation:

Answer:

9x^3 + 6x ^2 + 12x + 8

Step-by-step explanation:

Do each individually.

First (3x^2)(3x) = 9x^3

Then (3x^2)(2) = 6x^2

Then (3x)(4) = 12x

Then (4)(2) = 8

Finally add everything together, since everything has a different exponent, then just combine like I have above.

The world record for the longest someone has held their breath
was 24 minutes. How many seconds are in 24 minutes? 60 seconds
= 1 minute 24 minutes = seconds

Answers

Answer:

1440seconds

Step-by-step explanation:

1min = 60sec

24min = ?

24/1 × 60

1440sec

1440sec are in 24min I know because it’s on go-ogle

A farmer uses 1/3 of an acre of land to grow carrots.

The carrots are grown in

There are 15 rows of carrots.

What part of land does each row of carrots take up?

Answers

Answer:

the answer is 1/45

Step-by-step explanation:

just use the proportion method

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