Mathematics High School

true or false, x =4 is a critical point to this inequality

x²-4 / x²+9x+20 is greater than/equal to 0

Answers

Answer 1

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Related Questions

The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.

Answers

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

Pls help me I have no idea

Answers

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !

Answers

Answer:

No, I haven't taken the isat.

Step-by-step explanation:

Answer:

No, what is it for?

Step-by-step explanation:

38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)

Answers

Answer:

B

Step-by-step explanation:

3 ( w + 9 )

3 × w + 3 × 9

3w + 27

Hope this helps

plz mark as brainliest!!!!!!!

I think it’s d, but if not then the other answer says b.

Also I don’t see an answer for c.

Factor 28xy + 25 + 35x + 20y

Answers

HOPE THIS HELPS YOU...

PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?

Answers

Q = (-4, 6)
R = (8, 6)

You can work out the distance between the points by doing the following formula:


√(x₂ - x₁)² + (y₂ - y₁)²

Factor in our points:

√(8 - -4)² + (6 - 6)²

Solve the brackets (remember a negative and a negative make a positive):

√(12)² + (0)²

= √144 + 0

= √144

Solve this expression to get your final answer of the distance between two points:

√144 = 12

I hope this helps. If it does then a Thanks or a Brainliest would mean a lot! :)

1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?

Answers

Answer:

2 periods

Step-by-step explanation:

Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.

To find the answer,

$10,000 x .03 = $300.

$600 / $300 = 2 periods.

Hope this helps.

Good luck

4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer​

Answers

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨


C.
tan(450)
Help please!

Answers

Answer:

The answer is 0

Step-by-step explanation:

what is the slope- intercept form of x+4y=16

Answers

Answer:

Y= -1/4x +4

Step-by-step explanation:

Slope intercept form is y=Mx+b

4y=16-x

Y= -1/4x +4

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)

Answers

Answer:

y = 1/2x + 1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

y-intercept (0, 1)

Point (2, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{2-0}[/tex]Subtract:                       [tex]m=\frac{1}{2}[/tex]

Step 3: Write equation

y = 1/2x + 1

Why does multiplying the input of a linear function change
only the slope while multiplying the output changes both the slope and the
y-intercept?

Answers

Answer:

Step-by-step explanation:

If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.

E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.

The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.

If you're interested in the calculus behind this, look up the chain rule of derivatives.

However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.

Which of the following BEST describes the domain of the relation graphed below.​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]

Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.

Answers

8x + 15 = 31

Or

16 + 15 = 31

Not entirely sure if this is what you were asking for but I hope this helps!

11 What is most likely the equation of the graph below?

Answers

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/down

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

4/4-x = 5/4+x what is x

Answers

Answer:

-1/8

Step-by-step explanation:

MATH

What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180

Answers

Answer:

C ) 18 hope this helps !!!

Answer:

C. 18

Step-by-step explanation:

If you multiply 30%, or .3 by 60, you get 18.

About how many male math teachers will there be in 2016?
A. 32
B.52


Answers

Answer:

From the answers you provided the best answer is B.52

Step-by-step explanation:

It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.

Answer:

is it 32?

Step-by-step explanation:

sorry if im wrong

hope this helps

Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

Answers

Answer:

corresponding angles

Alternate angle

cointerior angle

if you spun the spinner 100 times would you expect it to land on red

Answers

How many colors are there in total?

.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?

Answers

18 girls and 12 boys 18+12= 30
Brake it up into 15

Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar

Answers

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70

Answers

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[tex]q(x) = {x}^{2} - 3x - 4[/tex]

[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]

[tex]q(10) = 100 - 30 - 4[/tex]

[tex]q(10) = 70 - 4[/tex]

[tex]q(10) = 66[/tex]

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Thus the correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Who here is amazing at math and is willing to help me every time I need help with math?!

Answers

Answer:

Me

Step-by-step explanation:

Because I am really good at math

Can someone plz help
One question only
I WILL CROWN BRAINLIEST

Answers

i) Draw a point at the bottom corner. From here count 7 right and 3 up. Mark this point aswell. Join these 2 point together to create a line and put an arrow head half way through to show direction.

ii) 2+5 = 7
4-1 = 3
So the column vector would be 7 over 3 in brackets

Hope this helps

Answer this question please.​

Answers

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

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Families where one or more members are citizens and one or more members are non-citizens are called: if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK Factor completely: 125 x cubed space plus space 343 FOR WHICH SHOULD I ARGUE ? AND WHYI will argue for the use of genetically modified foods.I will argue against the use of genetically modified foods.IF YOU GIVE ME A BRIED DESCRIPTION ILL MARK YOU BRAINLIEST Renee needs to buy granola bars at the grocery store. She looks at the nutritional information listed on the boxes of two different types of bars. She wants to purchase the one with the least grams of sugar. What type of decision making strategy is she using?She is comparingShe is contrastingShe is selectingShe is deciding Why was the Cold War called the "Cold" War?e fightinghe US andnion was3There was no directFighting betweenthe US and theIt occurred during avery cold timeperiod in historywhoan Calculate 8/9-2/3 giving your answer in its simplest form. what is it help would be awsome Graph a line a slope of 2/5 that contains the point (-2,4). Is it OK for people to post fake vacation pics and other fake info on social media? Why or why not? Use facts and details from the Article to back up your answer. What journey and quest do sulayman and indarapatra undertake such joirney and quest? round 0.918 to the nearest whole number what is RBCs....write its functions? 1. Which of the following is not a present-day state Lewis and Clark traveled through during their expedition? a. Georgiab. Nebraskac. North Dakotad. Oregon what are the x and y intercepts of the function f(x)=x/x^2-3x John wants to become a better swimmer. So, he lifts weights three times a week, runs four times a week, and bicycles once per week. Is John using the principle of specificity? Why or why not? Which of the following forms of local government is required by the state constitution?A)municipal governmentB)county governmentC)special purpose governmentD)consolidated government 3 +5.2.c = 1 - 2.87 WHO LIKES LARRAY Cause I do The President is speeding down the highway going 90 miles per hour. He gets pulled over. The cop sees that it is the president. The cop gives the president a ticket for speeding. What principle is this an example of?