Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20

Answers

Answer 1

Answer:

x<18

Step-by-step explanation:

2+x<20

Answer 2

Answer:

(-5, 4)

Step-by-step explanation:

x^2 + x < 20 can be rewritten as a quadratic in standard form:  x^2 + x - 20 < 0.  Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up.  Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places.  Our job is to determine the two horizontal intercepts, which in turn determine the solution set.

x^2 + x - 20 = 0 factors as follows:  (x + 5)(x - 4) = 0, whose roots are -5 and 4.

These two roots form 3 intervals:  (-infinity, -5), (-5, 4) and (4, infinity).   We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis).  Choose three test values for x:  the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive.  Reject this.  

Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20.  Thus, the solution is (-5, 4).  It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).

Evaluating


Related Questions

ANSWER THIS PLEASE :)

Answers

Answer: it’s hamburger

Step-by-step explanation:

Just kidding it’s c

Mr. Doyle washed 1 4 of his laundry. His son washed 3 7 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

His son washed more laundry, and 9/28 still needs to be done.

Answer:

his son washed the most

Step-by-step explanation:

3/7 is greater than 1/4

36472 is a __% increase compared to 14921

Answers

Answer:

= 144.434% increase

Step-by-step explanation:

i think so but i could be wrong?

The sum of two integers is 20 and the sum of their square is less than 362. Find all pair of integers that satisfy the given condition

Answers

Answer:

19 and 1

Step-by-step explanation:

19+1=20

19²+1²=361

361<362

29.
After 5 years, the sum of the ages of Reema and Neha will be 30. If Reema is 4 years
younger than Neha today, then find the sum of the present ages of Reema and Neha.
years

Answers

Answer:

Sum of their present ages  = 20 years

Step-by-step explanation:

Present age :

   Neha's age = x years

Reemas' age = x - 4

After 5 years:

       Neha's age = (x +5) years

       Reemas' age = (x - 4 + 5 ) = x + 1

Sum of the ages of Reema and Neha will be 30

Therefore,    

x + 5  + x + 1 = 30

x + x + 5 + 1 = 30

   2x +  6    = 30

            2x = 30 - 6

           2x = 24

             x = 24/2

            x = 12

Neha's age = 12 years

Reema's age = 12 - 4 = 8 years

Sum of their present ages = 12 + 8 = 20 years

If ben completes 1/4 of his book report in 5/6 of an hour how much of the book report does ben complete per hour?

Answers

Answer: Ben completes 3/10 of his book report  per hour

Step-by-step explanation:

Ben completes 1/4 of his book report in 5/6 of an hour

5/6 of an hour =  5/ 6 x 60 = 50 minutes

Therefore in 1 hour, which is = 60 minutes  he  completes

(1/4 x 60 minutes)/ 50 minutes

= 15/ 50

= 3/10 of his book report.

You deposit $750 in a bank
account that will earn a simple
interest of 3.5% per year.
How much will your investment
be worth after 12 years?

Answers

Answer:

$1,065

Step-by-step explanation:

Simple interest equation: A=P(1+rt)

P (principal amount) = 750, r (rate) = 3.5%, t (time) = 12 years

A=750(1+(3.5)(12))

A=1065

The amount of an investment to be worth after 12 years should be considered as the $1,065

Calculation of an investment:

Since

The deposited amount is $750

The rate of interest is 3.5% per year.

And, the time period is 12

So,

A=750(1+(3.5)(12))

A=1065

Hence, The amount of an investment to be worth after 12 years should be considered as the $1,065

Learn more about rate here: https://brainly.com/question/13455383

someone please help me I need to know asap​

Answers

Answer: 3

Step-by-step explanation:

f(x)= -x + 4

Therefore f(-1)= -(-1)+4= 1+4= 5

h(x)= (3/2)x - 1

Therefore h(2)= (3/2)(2) -1= 3-1= 2

f(-1) - h(2)= 5 - 2= 3

Drag each angle measure to the correct location on the image. Not all angle measures will be used.
Determine the measures of the angles.
35°
70°
75°
100°
105°
110°

Answers

I need to see the graph or whatever it’s on

Answer:

i believe this is the question you asked added picture of correct answer on graded test

Step-by-step explanation:

A computer program used one-third of the computers total memory. The computer had a memory of 58 gigabytes. Write an algebraic equation to represent this scenario.

Answers

58 - (58/3) = x




Hhhhhhhhhhhhhhhhhh

Which of the following is a geometric sequence?

A:0, 2, 6, 12, 72, . . .

B:1/2,2/3,3/4,4/5,5/6

C:4, 9, 14, 19, 24, . . .

D:1, 3, 9, 27, 81, . . .

Answers

Answer:

D

Step-by-step explanation:

to find the next term multiply by 3

A scale drawing of a room is shown below. In the drawing, the room is 73 inches long and
5 inches wide. What is the actual area of the room?

Answers

Answer:

The answer is 365

Step-by-step explanation:

just do 73 times 5 and you get your answer

One-third of a number decreased by six equals eight. What is the number?
6

Answers

Answer:

The number is 42.

The volume of a cube related to the area of a face by the formula V =A^3/2. What is the volume of a cube whose face has an area of 25mm^2.

Answers

Answer:

Volume = 125 mm^3

Step-by-step explanation:

Here, we want to get the volume of the cube

What we have to do here is to substitute the value of the area

We have this as

:

V = 25^(3/2)

V = (√25)^3

V = 5 * 5 * 5 = 125 mm^3

R(-2,8) S(10,6) midpoint

Answers

Answer:

M = (4,7)

Step-by-step explanation:

If points are (x₁,y₁) and (x₂,y₂), then the midpoints are given by :

[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We have,

x₁ = -2, y₁ = 8, x₂ = 10 and y₂ = 6

So,

[tex]M=(\dfrac{-2+10}{2},\dfrac{8+6}{2})\\\\=(\dfrac{8}{2},\dfrac{14}{2})\\\\=(4,7)[/tex]

So, the midpoints of the given points are (4,7).

GENIUS OR ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is lovely c

giving brainliest help

Answers

Answer:

The first one

Step-by-step explanation:

PLEASE HELP ASAP IF YOU RIGHT YOU GET BRAINLLEST

The following parallelogram is reflected over the x-axis and then reflected over the y-axis. What are the coordinates of the vertices of the image?




(2, 1), (1, -1), (-2, -1), (-1, 1)

(1, 2), (-1, 1), (-1, -2), (1, -1)

(1,1), (2, -1), (-2, 1), (-1, -1)

(1, 1), (-1, 2), (1, -2), (-1, -1)

Answers

Answer:

its number 3

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

(-4, 0)

(-9, 0)

(-9, 5)

(1, 5)

Carlos was accepted to a university that has a tuition cost of $33,000 per year. He took out a loan from the bank for the entire $33,000 and made loan payments of $415 per month for 8 years. After the 8-year period, how much more than the tuition cost did Carlos pay? F. $6,840 G. $4,980 H. $4,860 J. $3,320 K. $3.120

Answers

Answer:

F. $6,840

Step-by-step explanation:

8x12=96

415x96=39,840

39,840-33,000 = $6,840

Which of the following is the solution to
the equation below?
X – 1.4 = 0.6
A 0.8
C 1.2
B 1.0
D 2.0

Answers

Answer: D

Step-by-step explanation:

Step by step:

1) we want to get the numbers to one side and the letters to one side

In order to get -1.4 to the right side, we cancel it from the left and take it to the right. In order to cancel -1.4 we had +1.4 to both ends which leaves us with 0 on the left and 2.0 to the right (1.4+0.6)

Therefore:
X=2.0

HELPPPP HURRYYYYY I DONT KNOW WHEN THIS IS DUE

Answers

Answer is 2nd answer

h(x) = x²- 5x + 7
a). h(2)
b).h(-5)
c). h(-8)

Answers

C is the answer for the question

A pack of Skittles 30% are red , 20% are orange, 25% are yellow, 15% are green, and 10%are purple. Find the number of Skittles of each color that are in the bag.

Answers

Does it say the total number of skittles in the pack? That’s needed to answer the question.

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Answers

Answer:

You're very kind for that lol. But for math work like "3x-3" or whatever use Cymath.com

Step-by-step explanation:

Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

Can Anybody Solve this and send the pic of the ans! ​

Answers

Answer:

solve it yourself

Step-by-step explanation:

length of ist part= 30 cm

breadth of ist part = 21 cm

area of ist part = 630 cm

diameter of 2nd part= 21 cm

area of 2nd part = ¼dπ

π= 22/7

= ¼× 21 ×22/7

=3×10.5

= 31.5cm²

total area = ist part +2nd part + 3rd part

=

You have $3.10 in dimes and quarters.You have 3 more dimes than quarters. write an equation that relates the number of coins and have any equation for the value of the coins.how many of each kind of coin do you have?

Answers

Answer:

y=Q+3D

Step-by-step explanation:

the total amount is y=, than A would be quarters. and you add 3 because there's always 3 more dimes than quarters than add D for dimes.

The system of equations is 0.10x + 0.25y = 3.10 and x = y + 3. The number of dimes and quarters will be 11 and 8, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

You have $3.10 in dimes and quarters. You have 3 more dimes than quarters.

Let 'x' be the number of dimes and 'y' be the number of quarters. Then the equation is given as,

0.10x + 0.25y = 3.10      ...1

x = y + 3                        ...2

From equations 1 and 2, then we have

0.10(y + 3) + 0.25y = 3.10

0.10y + 0.30 + 0.25y = 3.10

0.35y = 2.8

y = 8

Then the value of 'x' is given as,

x = 8 + 3

x = 11

The system of equations is 0.10x + 0.25y = 3.10 and x = y + 3. The number of dimes and quarters will be 11 and 8, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Agree or Disagree

Rotating a regular decagon by 75° carries the decagon onto itself. ​

Answers

Answer: False
Reasoning: needs to be a multiple of 36°

If cos(t) =

1
2
and tan(t) < 0, find sin(t) and cos(-t)

Answers

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

Ms. Vega read 20% of the Star Wars book. She read 8 pages of the book.

8. Enter the number of pages in the Star Wars book.

Answers

Answer: 40 pages in total

Step-by-step explanation:

Ms. Vega has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in book

Step-by-step explanation:

8 pages read

8/40 = .20

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