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

Can someone solve this

c - 25 - (-13)

Answers

Answer:

c−12!

Step-by-step explanation:

Use Cymath on g0ogle for other math questions so you don't waste your points!

Answer:

=c - 12

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The answer is 2

All lines that are parallel have the same slope

Answer:

the slope is (2)

Step-by-step explanation:

Two lines that are parallel to each other have the same slope so,

the equation y=2x+5 is in the form y=mx+c

where m is the slope of the line so if we compare both equations we can see that the slope of the line given will be 2 and therefore, the slope of the line parallel to it will be the same (2)

Plz help me due tonight

Answers

Answer:

It would end up becuase it is positive

Step-by-step explanation:

Solve for k.
10
1323
3
9
CAN U HELP PLEASE

Answers

Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

[tex] \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30[/tex]

hope it helps

Have a nice day


show your work please :)

Answers

Step-by-step explanation:

yphñotdtowtkstlstoyosotstlstlstosupfhñznx$*□◇○}₩○¥■○♧■▪︎■♧○¥□•¥{•£{•£{{£•{¥{¥•£□•□£●£•●£$>£|•

A figure has an area of 64 square units. Which describes the area of the figure after a dilation with a scale factor of 3/2?
A)96 square units
B)144 square units
C)112 square units
D)32 square units

Answers

I think your answer would be a)96 square units

f(x)=4x^2 − 10x+2
Find f(−7)

Answers

Answer:

f(-7)=268

Step-by-step explanation:

f(-7)=4x^2 − 10x+2

f(-7)=4(-7)^2-10(-7)+2

f(-7)=4(49)+70+2

f(-7)=196+72

f(-7)=268

Answer:

198

Step-by-step explanation:

4(-7)^2+70+2

196+2=198

Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be true? What is one thing that cannot possibly be true?

Answers

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

Out of 500 milliliters of hydrochloric acid, 237 milliliters were left after an experiment that used the acid. How much acid was used in the experiment? A. 156 ml B. 189 ml C. 263 ml D. 307 ml

Answers

Answer:

c. 263 ml

Step-by-step explanation:

have a nice day

cya

ASAPPPP HELP
A 10 foot ladder is placed against a wall at an angle of 25° with the
ground. How far up the wall does the ladder reach?
Round your answer to the nearest whole foot. DO NOT INCLUDE
UNITS IN YOUR ANSWER

Answers

Answer:

the ladder reaches 8 feet up

Step-by-step explanation:

:D

sin25 = b/10
b=10sin25
4.2 ft

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

[tex] \frac{8\pi}{5}[/tex]

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

[tex]2\pi \times( r)( \frac{x}{360)} [/tex]

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

[tex]2\pi \times (6)( \frac{48}{360} )[/tex]

Multiply 2 pi by 6

[tex]12\pi \times ( \frac{48}{360} )[/tex]

[tex]12\pi \times \frac{4}{30} [/tex]

[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]

[tex] \frac{8\pi}{5} [/tex]

What is m
Enter your answer in the box

Answers

Answer:

m = 2

Step-by-step explanation:

∠ GLI = 90°

∠ GLH + ∠ HLI = ∠ GLI , that is

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

Then

∠ HLG = 9m = 9 × 2 = 18°

can someone help pls​

Answers

Answer:

Step-by-step explanation:

-1 =5

0=0

1=-3

2= -4

3=-3

4=0

Answer:

-1 = 5

0 = 0

1 = -3

2 = -4

3 = -3

4 = 0

5 = 5

Step-by-step explanation:

IF THS IS THE ANSWER CAN U PLZ MAKE ME BRAINLIEST

THANK U AND BE SAFE AND HEALTHY :)

I will give brainliest!!!

Answers

Answer:

SA=72

Step-by-step explanation:

18+18=36

12+12=24

6+6=12

36+24+12=72

Line segments AB and CD are both part of the dame non-vertical line,and the slope of line segment AB is 6, hsing similar triangles,what can you show the slope of line segment CD to be?
A. -6
B. -1/6
c. 1/6
d. 6​

Answers

Answer:

6

Step-by-step explanation:

Answer Please !

Choose The Correct Reason

{Answer Boxes are similar to all questions :
A: Base angles of an isosceles triangle are congruent
B: Given
C: Def. of an isosceles triangle
D: AA Similarity Theorem
E: Substitution property}

(Question 1 )
Reason 1

(Question2)
Reason 2 < type you’re answer From Answer Boxes>

(Question 3)
Reason 3

(Question 4)
Reason 4

(Question 5)
Reason 5

(Question 6)
Reason 6

Answers

the answer is B i just did it
Your answer should be answer B

with three cans of paint u can paint 2 walls with 2 layers. How many cans do u need to paint 10 walls with 3 layers?

Answers

Answer:

22.5 cans of paint

Step-by-step explanation:

[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]

Answer:

You need 22.5 cans of paint to paint 10 walls with 3 layers.

Step-by-step explanation:

[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)

0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)

A movie theater sell snacks to 30% of it's customer each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday????

A. 242
B. 520
C. 558
D. 620

Answers

Answer:

620 or D

Step-by-step explanation:

Answer:

620/D I believe........

Use the exchange rate £1 = €1.15 to convert €23 into £.

Answers

Computing €23 divided by 1.15€/£ gives £20

What is 5.545 as a percent?​

Answers

Answer:

545.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

5.545 ×

100

100

= (5.545 × 100) ×

1

100

=

554.5

100

Write in percentage notation: 554.5%

hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?​

Answers

Answer:

3 hours

Step-by-step explanation:

$30 + $10 = $40

* Just for a hour and the fee*

$128 ÷ $40 = 3

Answer:

he paid 8 hours

Step-by-step explanation:

kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa

hours sa hall kasa naging 8 hours

i will literally give you brianlist

Answers

11
a is the correct answer
the y-intercept is 11
because W=2t+11
and if u put 0 for t
W=2(0)+11
W=0+11=11
so the y-intercept is 11

Convert the exponential to a logarithmic form: 104 = 10,000
Question 13 options:


A)
log 4 = 10,000


B)
log 10 = 4


C)
log 10,000 = 4


D)
log 4 = 10



pleasseeeeee

Answers

Answer:

C) log 10.000=a,5%4%4(1):53))?/

Answer:

c

log 10,000 = 4

Step-by-step explanation:

got it right on the test

3a≥ -6
solve for a
PLEASE

Answers

Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )

Given the triangles below, determine if they are similar. *
2 points
H
S
32
48
M
30
44
e
O Yes, A MHT ~ AQSW
O Yes, A MHT ~ AQWS
No, they're sides are not congruent
O No, they're sides are not proportional

Answers

Answer44

Step-by-step explanation:

5+5=10

Are the two triangles similar? How do you know?

Answers

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

£100 is divided between Fiona, Pip and Sara so that Fiona gets twice as much as Pip, and Pip gets 3 times as much as Sara. How much does Pip get?

Answers

Step-by-step explanation:

if pip gets x

sarah gets x/3

fiona gets 2x

so x+x/3 +2x=100

10x/3=100

x=30

If X + 3Y = 5 and 2X - Y = 3, then X is equal to

Answers

Answer:

X=2

Y=1

That's the answer

8x=2 what is the value ofx

Answers

Answer:

x=0.25

Step-by-step explanation:

8x=2

4x=1

4x÷4=1÷4

x=0.25

help. i’ll mark brainliest or whatever

Answers

Answer:

angle 1 is 140 degrees and angle 2 is 70 degrees

Step-by-step explanation:

it is two parallel lines with an intersecting line. This means that the two angles will be the same. Your welcome btw ur mom is hot

Answer:

Angle 1 is 140 degrees and Angle 2 is 70 degrees.

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