Solve the following inequality: 3-5x-x^2>=0

Answers

Answer 1

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)


Related Questions

Carlos bought 4 pounds of carrots.

How many ounces of carrots did he buy?

Carlos bought ounces of carrots.

Answers

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.

X=
Y=​

Answers

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

the rectangle prism below has a volume of 464 3/4 cubic meters. a- write an equation that could be used to find the length of the prism b- find the length, show your work.

PLEASE HELP!!

Answers

Answer:

ok

Step-by-step explanation:

please mark me brainleast

I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?

Answers

Answer:

See Explaination

Step-by-step explanation:

According To Question

In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent  & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

other Five Trignometry Functions Are as Follow

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

  Now For Other Trignometry Functions

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

identify EFG

Answer Options:

= 45
= 35
= 22.5
=27.5

Answers

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

show ur solving steps please

Answers

Answer:

Angle BAC corresponds with side length BC

Side length AC will correspond with angle ABC

Step-by-step explanation:

In a triangle, the side length will correspond to the angle opposite it and vice versa.

That is, the side length opposite angle A corresponds to the side of Angle A

Hence, in the triangle given above ;

Angle BAC corresponds with side length BC, because BC is opposite BAC

Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.

An increase in pay because of how well you do a job is called
A. longevity increase
B. promotional pay
C. performance pay
D. merit pay

Answers

Answer:

D. merit pay

An increase in pay because of how well you do a job is called merit pay.

Explanation:

Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.

252k is a perfect square. Find any two possible values of k.​

Answers

7 and 28 are two answers i got

A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.

Answers

Answer:

c = 7p

Step-by-step explanation:

i think

f(x)=−2x
2
+8x−10
\text{Find }f(-4)
Find f(−4)

Answers

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

     = -2(16) -32-10

     = -32 -32-10

    = -74

A wave with a frequency of 60 hertz would generate 60 wave crests every

Answers

Answer is every second

- 1 7/8 + 2 1/4
Plz help im confused

Answers

The answer to this would be 3/8.

you just simplify the given terms, so -1 7/8 can be simplified into -15/8 and 2 1/4 can be simplified into 9/4, add those together to get a sum of 3 over 8 or 3/8.

Good Luck

[tex]0.375[/tex] ✅

Step-by-step explanation:

[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Determine the time 2 hours and 7 minutes after 22:57

Answers

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36

Answers

9514 1404 393

Answer:

center: (-5, 0)radius: 6

Step-by-step explanation:

Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.

 (x -h)^2 +(y -k)^2 = r^2

You see that ...

 -h = +5   ⇒   h = -5

 -k = 0   ⇒   k = 0

  r^2 = 36   ⇒   r = √36 = 6

The center is (h, k) = (-5, 0), and the radius is r = 6.

Graph the inequality. y ≥ |x + 5| - 3

Answers

Answer:

1

Step-by-step explanation:

Please help me please help me if you don't know gently move your hand

i will make you brainliest with 15 points

Answers

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = , where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)

Answers

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

Rewrite each side with a common base and solve. Round your answer to two decimal places.

3^4x=1/27

Answers

x = -3/4

Explanation:

3^(4x) = 1/27
3^(4x) = 27^(-1)
3^(4x) = 3^(-3)
4x = -3
x = -3/4

Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?

Answers

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

Jen should have done (x+3)(x-7) bc the middle value of the original equation needs to be equal to the two numerical values added together from the factored equation

Marinas bill for dinner totals $38.65, including tax. She leaves a 20% tip. How much is Marinas total? (pls hurry i’m in summer school rn and i need the answer)

Answers

9514 1404 393

Answer:

  $46.38

Step-by-step explanation:

When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.

  1.20 × 38.65 = 46.38

Marina's total with the tip is $46.38.

[Pre-Calc] Please Help! I don’t know where to start. How do I do this?

Answers

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

help pls ill give u brainlest

Answers

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

16²= 256265×π= 804.2 (1dp)

So therefore, the answer is A

Hope this helped!

hey this is my first post, does anyone know how to do this and find V?

Answers

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Suppose the probability of failure in a binomial experiment is 0.25. What is
the probability of success?
A. 0.65
B. 0.85
C. 0.75
D. 0.35

Answers

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

HELP PLZZZ !!

3. Solve the equation by factoring.
C^2 - 4c = 0

Answers

Answer:

0,4

Step-by-step explanation:

See image below:)

calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.

Answers

Circumference: Pie D (length of the entire shape) D= 7.5 times 2= 15 so, C= 3.14 times 15= 47.1 . So the final answer is 47.1

what is the slope of a line perpendicular to 3x+2y = 7?​

Answers

Answer:

2/3

Step-by-step explanation:

First find the slope of the line

3x+2y = 7

Subtract 3x

2y = -3x+7

Divide by 2

y = -3/2x +7/2

This is in slope intercept form  y = mx+b  where m is the slope

The slope is -3/2

A line perpendicular is the negative reciprocal

-1/(-3/2)

2/3

The slope of the perpendicular line is 2/3

Answer:

Slope of the line perpendicular to the given line = 2/3

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

That is,

      [tex]slope_{1} \times slope _ 2 = - 1\\[/tex]

Given equation of the line :

                                  3x + 2y = 7

                                          2y = - 3x + 7

                                          [tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]

[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]

Find slope of the line perpendicular to the given line:

[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]

How many different codes of 6 digits are possible if the first digit must be 3, 4, 5, or 6 and if the code may not end in 0? Hint: think of positions.

Answers

Answer:

360000 possible codes

Step-by-step explanation:

The first digit can only be one of four things and the last digit can't be zero.

4*10*10*10*10*9=360000

Find the value of unknown angles.
Х
50​

Answers

Answer:

[tex]x = 70^o[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To solve for x, we make use of:

[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle

[tex]x + 110^o = 180^o[/tex]

Collect like terms

[tex]x = 180^o-110^o[/tex]

[tex]x = 70^o[/tex]

You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.

Answers

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

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