(x-4)(x+4)(x-7) is greater than or equal to 0

Answers

Answer 1
If (x-4)(x+4)(x-7)≥0, we know that if x=4, -4, or 7 then the expression equals 0. After that, we want to know when x is greater than 0 by plugging in numbers between, after, and before these numbers. Before -4, we can plug in, for example, 5, to get (-9)(-1)(-12). Since there are 3 (an odd number) negative numbers, we know it is less than 0 and since -4 is the smallest number out of the 3 given (4, -4, -7), anything less than -4 is negative. Between -4 and 4, we could test 0 out, getting (-4)(4)(-7). Since there are 2 negative numbers (an even number of them), this is positive as is with anything between -4 and 4. Between 4 and 7, we can plug in 5, getting
(1)(9)(-2) which has one negative number (an odd number) which is therefore negative. For anything more than 7, we can plug 8 in, getting 
(4)(12)(1) which has 0 negative numbers and is therefore positive.

Summing it up, anything less than -4 is negative, between -4 and 4 is positive, between 4 and 7 is negative, and anything higher than 7 is positive. Do you see the pattern? We started with something, and flip flopped till the end. 



Related Questions

Find the negative square root of 49. (4 points)
Select one:
a. ±7
b. 7
c. −7
d. 24.5

Answers

the answer is c. -7 because when you multiply two negatives together you get a positive answer

The negative square root of 49 is -7.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2² + 4 i s an expression.

3² + 4³ + 3³ is an expression.

3 + 4 x 5 + 4³ is an expression.

We have,

-√49

7 x 7 = 49

Make an exponent of base 7.

7² = 49

So,

-√49

= -√7²

Square root and exponent 2 get canceled.

= -7

Thus,

The negative square root of 49 is -7.

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Kevin ran 7 miles more than Steve ran. The sum of their distance is 33 miles. How far did Steve run? How far did Kevin run? What is your variation?

Answers

first set it up in an equation equal to 33

33= 7 + x + x
33 = 7 = 2x
26 = 2x
13 = x

plug x value back into equation

kevin runs 20 miles and steve ran 13 

The quotient of two consecutive positive integers is 1.02. What is the sum of these two integers?

Answers

Let these two integers be called x and y.

We are told:

x = y + 1 (consecutive integers) EQN (1)

and

[tex] \frac{x}{y} =1.02[/tex] EQN (2)

Solving this system of equations gives

[tex] \frac{y+1}{y} = 1.02[/tex]

Solving yields

y = 50 and x = 51

If quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.

What is Number system?

A number system is defined as a system of writing to express numbers.

Let x be the smaller of the two consecutive positive integers. Then, the next consecutive integer is x + 1.

According to the problem, the quotient of these two consecutive integers is 1.02. In other words:

(x + 1) / x = 1.02

Multiplying both sides by x, we get:

x + 1 = 1.02x

Subtracting x from both sides, we get:

1 = 0.02x

Dividing both sides by 0.02, we get:

x = 50

Therefore, the two consecutive positive integers are 50 and 51, and their sum is:

50 + 51 = 101

Therefore, if quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.

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Homework Help: All of the following expressions are equivalent except _____.
a) 2 - x
b) x - 2
c)-2 + x
d)x + (-2)

Answers

all equivalents except 

a) 2 - x 
cause this will equal (-x +2) or 2 + (-x)

The expressions which are equivalent are x - 2, -2 + x, and x + (-2) so, option A is correct.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The expressions are equivalent,

Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).

As you can see in the options 2 - x because this will equal (-x +2) or 2 + (-x)

Thus, the expression which is not equivalent is 2 - x.

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what is 1/7+ x = 2/3x

Answers

1/7 + x = 2/3x
1/7 = 2/3x-x
1/7 = 2/3x - 1x
1/7 = -1/3x
-3/7 = x

Can you give a reason why a calculator shows 2/3 equal to 0.666666667

Answers

Your calculator rounds so 2/3 is really 0.66666... or 0.6 repeat

The division of 2 by 3 will give an answer which does not terminate so the calculator rounds the answer.

Given division problem is 2 by 3.

Here it clearly cannot be divided evenly.

The quotient is 0.6666....

We know about the rounding of numbers.

When the next number is greater than 5, the preceding number will add 1.

Here each number is 6, which is greater than 5.

So any number can be written as 7 and then stop the answer.

So this can be written as :

0.7, 0.67, 0.667,...

Hence the calculator shows 7 after certain digits.

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given that one root is twice the other for the quadratic equation px-3x^2=24 . Find the values of p

Answers

Alright, so we can write this as -3x^2+px-24=0 (by subtracting 24 from both sides)

3*-24=-72, so 2 numbers have to add to 72 but multiply to a number p. If a number is y and the other is 2y, that means that y*2y=-72 and 2y^2=72. Therefore, y^2=36 by dividing both sides by 2 and y is either 6 or -6. If y is 6, then 2y is 12 and 6+12=18=p
If y is -6, then 2y=-12 and -6-12=-18=p

If a = 3, what is the value of the expression 36 ÷ a · 4 + 2?
5
48
50
72

Answers

50. Plug in 3 for a and divide that by 36
36/3= 12
12x4= 48
48+4= 50

betty's container of cranberry juice holds 200 milliliters. Herbert's container holds 7/8 as much juice. how many milliliters of cranberry juice do the two containers holds?

Answers

To answer this question, you need to understand how to change the description into an equation. Let say that Herbert's container volume is H and Betty's container is B. Then, from the problem you can get this equation:
1. B= 200     (Betty's container hold 200 milli liters)
2. H= 7/8 B  (Herbert's container hold 7/8 as much juice)

If you put the 1st equation into the 2nd, you will get:
H=7/8 (200)= 175

Then the two containers will hold
H+B= 200 + 175= 375milli liters

3(x-y+5) ??????????!?????

Answers

Hi there!

[tex]#3(x - y + 5) Distribute =(3)(x) + (3)(-y) + (3)(5) = 3x - 3y + 15 I hope my answer helps! [/tex]

Write 2 subtraction equations to show how to find 15-7

Answers

Answer:

15-7=8

Step-by-step explanation:

just take away 7 from 15.

For number 19 I don’t get it, there’s nothing wrong with it(i think) please help me

Answers

-7/11 is not -.63 with the three repeating

If u put it into a calculator it is -.63636363
( so the line should be over both the 6 and the 3, because that is what is repeating)
The repeating sign is just over the 3 and needs to be of the 6 and the 3

Express each decimal as a fraction or a mixed number in simplest form. 0.2727272727

Answers

The answer for this one is 3/11.

*If you need an explanation, leave a comment down below, and I will give you the explanation.

a tree branch has 5 buds. each day 2 more buds sprout . how many buds are on the tree branch after 5 days. make a t chart

Answers

1 day = 2 buds
2 days = 4 buds
3 days = 6 buds
4 days = 8 buds
5 days = 10 buds

Answer:

Total number of buds on the tree branch after 5 days is:

15

Step-by-step explanation:

A tree branch has 5 buds.

Each day 2 more buds sprout.

i.e. After Day 1 number of buds=5+2=7

After Day 2 number of buds=7+2=9

After Day 3 number of buds=9+2=11

After Day 4 number of buds=11+2=13

After Day 5 number of buds=13+2=15

Hence, Total number of buds on the tree branch after 5 days is:

15

Using the distributive property, which expression is equivalent to 5(32)? 5(3+2) 32(5+2) 5*30 + 2*30 5(30+2)

Answers

5(30+2) because the original problem is all multiplication but this is adding and multiplication:

5(32)
=160

5(30+2)
(Using distributive property)
150+10
=160

The given expression 5(32) using the distributive property will be 5(30+2). The correct option is E.

What is Distributive property?

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of the multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The given expression using the distributive property can be written as,

5(32) = 5(30 + 2)

Hence, the given expression 5(32) using the distributive property will be 5(30+2).

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Simplify the expression

Answers

I hope this helps you! Let me know if you need further explanation.

The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.90 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

0.9%
round up to 1.0%

Answer:

The answer is 2.4%

Step-by-step explanation:

Is 70 thousand written in standard form or word form ? Explain

Answers

It's kind of both because word form would be Seventy thousand and standard form would be 70,000.
Standard Form. This is the answer because if you know what word form is, it is basically a number that is written in letters. Standard Form is like saying the actual number. Thanks! Brainly Team 

The ratio of the angle measures of the acute angles in a right angle is 2:3. Find the measures of the acute angles.

Answers

right angle = 90
2 acute angles in right triangle, sum = 90

ration 2:3 
so 2+3 = 5

90 / 5 = 18

2 x 18 = 36
3 x 18 = 54

so 2:3 = 36:54

answer
 the measures of the acute angles are 36 and 54


I need to know all 13 & 14

Answers

13a
4 11/12

13b
5 9/14

13c
3 19/24

13d
4 18/35


14a
4 1/12

14b
1/8

14c

you want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?

Answers

After subtracting the cost of one bunch of baby's breath ($3.50) from the total budget ($16), you have $12.50 left for the roses. Since each rose costs $2.50, you can buy 5 roses to complete your bouquet within the budget.

To calculate the number of roses that can be bought, first, we need to subtract the cost of one bunch of baby's breath from the total budget for the bouquet. The cost of one bunch of baby's breath is $3.50. With a total budget of $16, we subtract the cost of baby's breath to see how much is left for the roses:

$16.00 - $3.50 = $12.50

Since each rose costs $2.50, we will divide the remaining budget by the cost of each rose to find out the number of roses that can be purchased:

$12.50 / $2.50 = 5 roses

Therefore, you can buy 5 roses along with one bunch of baby's breath to make up your $16 bouquet.

Between 20 and 28 students signed up for the chess club.

The students could not be divided exactly into groups of 2,3,4 or 5. How many

students signed up for the chess club?

Show your work.

Answers

First, we find the possible candidates. Since the # can not be divisible by 2, there are no even # possibilities. This leaves 21. 23. 25. and 27. Since the # is not divisible by 3, that leaves the possibilities 23. and 25. 25 is divisible by 5, leaving the answer 23. To add on, 23 is not divisible by 4, assuring that it is correct.
23 people signed up for the chess club.
Hope this Helped

What is the prime factorization ?? What is the number and explain ??

Answers

The number is already in prime factored form. The prime factors are 2, 3, 5, and 7. If we multiply everything out then we end up with 2100

what is 9=4t+(-7t)
how would I find the value of t

Answers

4t+(-7t) is the same as you saying 4t-7t, so 4t-7t= -3t. 9=-3t, divide each side by -3 and t is equal to -3
9=4t-7t
9=-3t
-3=t
the value of t is -3.

Macy wants to find the sum of 61,043 and 23,948 your answer is 37,095 find and correct her mistake

Answers

She subtracted instead of adding so your answer will be 84,991 instead of 37,095.
She subtracted the answer is 84,991

your grandmother gave you $10 with which to buy a present. this coverd 2/5 of the cost. how much did the present cost?

Answers

The present costs $25.
10 is the part but you are looking for the whole so set up a ratio

10/x=2/5 

10 part x is whole 
2 is part 5 is whole
now cross multiply the numerator 10 by the denominator 5 10x5=50 now divide 50/2 (the 50 you got by the numerator)

25 is the present's cost 

9,513 rounded to the nearest thousand

Answers

9513 rounded to the nearest thousandth is 10,000.

I hope that helped! :>
Final answer:

To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

Explanation:

To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

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If there are 3 1/2 pies for 16 people, how many pies will there be for 64 people?

Answers

I believe 14 because 16x4=64 so 3 1/2x4=14

The expression below shows the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x Which of the following is an equivalent function?

Answers

the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x
By multiplying 1.03 with 3 will make it 3.0900.This will not effect the parent function and thus the equivalent expression for the given function will be f(x) = 30(3.0900)x
f(x) = 30(1.03)3x ====> f(x) = 30(3.0900)x

I don't get this question #3

Answers

Answer: 90

Step-by-step explanation: Since there are 10 teams any given team will play all the other 9 teams resulting in 9 x 10 = 90.

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