prove that for any value of x the expression (x-3)(x+7)-(x+5)(x-1) is negative

Answers

Answer 1

Answer:

you can prove it by making the first 2 expression less than the last 2 expressions

Step-by-step explanation:

(x-3)(x+7)-(x+5)(x-1)

(x-3)(x+7) < (x+5)(x-1)

x^2 +4x-21 < x^2 +4x-5

cancel out some terms

then it become -21<-5 which is true


Related Questions

hello! please help! will give brainliest to correct answer! will report if you troll... thank you:)​

Answers

In a coordinate point, the values would go (x,y). Substitute the x and y values from the coordinate points into the equation given.
8(3)+B(4)=40

Multiply 8x3
24+B(4)=40

Subtract 24 from both sides

4B=16

Divide the whole equation by 4

B=4

y = -3 sin x – 2.
what is the sinusoidal axis

Answers

Answer:

The sinusoidal axis is the neutral horizontal line that lies between the crests and the troughs (or peaks and valleys if you prefer). ... Instead, it would still be the horizontal line directly between the crests and troughs which is also the average of the maximum and minimum values

8/9 divided by 4 equals what?

Answers

Answer:

2/9 = 0.2222222

but it is 2/9

Step-by-step explanation:

Simplify the expression:
10s+–2s

Answers

Answer:

8s

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms

Step-by-step explanation:

Step 1: Define

10s + -2s

Step 2: Simplify

Rewrite:                               10s - 2sCombine like terms:           8s

Answer:

[tex]\huge\boxed{8s}[/tex]

Step-by-step explanation:

Expression can be broken down into a couple of parts.

A term (like 10s, or -2s)The variable (what the unknown value is being represented by, in this case, s)The coefficient (the number next to the variable, showing what to multiply the variable by - in this case, 10 and -2)

When we have multiple terms with the same variable, we can perform operations on them assuming they have the same variable - for example, 5x + 6x = 11x, as 5+6=11.

We can apply the same logic here, however, note that adding a negative is the same as subtracting a positive. For example, 5 + -2 is the same as 5-2.

[tex]10 - 2 = 8[/tex]

Therefore, our final expression is [tex]8s[/tex].

Hope this helped!

Select the Correct Answer.
Consider the functions f and g
f(x) = |2x+9|

(graph attached)

What is the value of g(f(-5))?
A. 5
B. -5
C. 0
D. -1

Answers

Answer:

I Guessed postive  5 and got it right

Step-by-step explanation:

So the answer is 5

NOT -5

Need help with this math question pls help me will mark brainiest btw

Answers

Answer:

c

Step-by-step explanation:

C) y=4x+2

y=mx+b
m= how much your increasing
b= y-intercept or when x=0

Plz help I need to get my grade up in a week!!

Answers

Answer:

For 13 the slope is 0

Step-by-step explanation:

I can't see 12 nor 11, but 13 is a zero slope because horizonal lines have 0 slope.

James was working on his school homework for 2 hours. He spent 1/3 of this time working on math, and 1/4 of the rest of the time doing reading. How many minutes did James do math?

Answers

2 hours = 120 minutes

120/3 = 40

= 40 minutes

If 6/x=5/y, then 6/5=?/?

Answers

Answer:

[tex] \frac{6}{x} = \frac{5}{y} \\ 6y = 5x \\ Answer \frac{6}{5} = \frac{x}{y} [/tex]

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

B is the correct answer

Step-by-step explanation:

becasue if you solve this you get (0,0) (1,20) and (2,40) so b is the correct answer

A cell phone company recently noticed a 30% sales decrease in the month of July compared to June. Let n represent June's sales. If y represents July's sales, which equation can be used to determine the sales in July?

A. n=y-0.30y

B. y=n-0.30n

C. y=n+0.30n

D. y=n-0.30

Answers

D is the answer!!!!!!!
d is the answer for this

I need the answer fasttt

Answers

Answer:7

Step-by-step explanation:

Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off.

Answers

Can you please complete your question?

please simplify 5(x-1)

Answers

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Question 1
Determine if the relation shown is a function or not.
Y
2
8
4.
6
8
4

Answers

Answer:

No, it is NOT a function.

Step-by-step explanation:

A functions' inputs are assigned to exactly one output.

We are given the points:

{(8,2) (4,-3) (6,4) (8,1)}

The input of 8 is repeating.

The given relation is not a function.  

Hope this helps!

Simplify:(4x2 - 2x) - (-5x2 - 8x).
yall dont gotta simplify this im just bored

Answers

Answer:

wsp?

Step-by-step explanation:

9x^2 + 6x

Kim had d dollars and she bought a apples for 12 cents each and b bananas for 18 cents each. How many cents did she have left

Answers

Answer:  100d-12a-18b  cents

===================================================

Explanation:

d dollars = 100d cents

for example, if d = 4, then,

4 dollars = 100*d = 100*4 = 400 cents

So Kim starts off with 100d cents.

She buys 'a' apples, where 'a' is a placeholder for the number of apples. If a = 5, then she bought 5 apples and spends 12*a = 12*5 = 60 cents. In general, she spends 12a cents buying 'a' apples.

Similarly, she spends 18b cents buying b bananas. The letter b is the placeholder for the number of bananas.

Overall, Kim spends 12a+18b cents for buying that amount of apples and bananas. Subtract this expression from 100d to find out how much money she'll have left over.

100d - (12a+18b) = 100d-12a-18b

This left over amount is in cents. If you want to convert to dollars, then you would need to divide by 100.

Use the cosine ratio to find the value of x, to the nearest tenth.
a) 2.7
b) 3.2
c) 4
d) 3.9

Answers

Answer:

c) 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 34°

Adjacent Leg = x

Hypotenuse = 4.8

Step 2: Solve for x

Substitute [Cosine]:                    cos34° = x/4.8Isolate x:                                      4.8cos34° = xRewrite:                                       x = 4.8cos34°Evaluate:                                      x = 3.97938Round:                                         x ≈ 4

Point L is the circumcenter of angle ABC. List any segment(s) congruent to each segment.
20 POINTS

Answers

I would help but I learned this in 5th grade sorry but hope you find a answer!

Is this a funtion? please help

Answers

Answer:

No, it is not

Step-by-step explanation:

Here, we want to check if what we have is a function

For a relation to be a function, the mapping must be one to one or many to one

This mean, for every x there must be one y or for every y, there must can be multiple x

But never is it that there are many y for a single x

Looking at the value 0

on the domain, we can see -2 and 1 as the values

Thus, this is not a function

Please help me with this..!

Answers

Answer:

opposite sides are congruent for first under given

AD=AD for reflective property of congruency

next one under given is definition of perpendicular lines

and last box is acd=bdc

Step-by-step explanation:

7 candes cost £45.29,
how much would 25 candles cost?

Answers

Answer:

161.75

Step-by-step explanation:

45.28 divided by 7 = 6.47

6.47 per cande

6.47 times 25 = 161.75

can someone help with this
Simplify: 9^-3

Answers

Note that a^-3 = 1/a^3
9^3 = 729
1/9^3 = 1/729
Solution: 1/729

Easy question! TOTALLY not a lot of points!

Find the scale factor for the figure below.

Answers

So the scale factor from small to larger is;
2:6= 1:3 or 1/3
or
Large to small is;
6:2 = 3:1
good luck!

Too easy XD I don’t remember how to do that T-T

How am I supposed to do this?

Answers

For literal equations you do not necessarily need a numerical answer. You just need to get the variable you are supposed to solve for on one side of the equation by itself. To do this you will follow the same steps you do when you normally solve for x (or any other variable)

#9-Step by step

Q=25[tex]\pi[/tex]h

divide 25[tex]\pi[/tex] on both sides of the equation

Q/25[tex]\pi[/tex]=h

h=Q/25[tex]\pi[/tex]

Since his can't be simplified any further this is your answer

#11. y=7m+6

First subtract 6 over to the other side

y-6=7m

then divide the 7 over

(y-6)/7=m

m=(y-6)/7

#13 A=(Z+7)3

Divide the three over to the other side of the equation

A/3=Z+7

Now the 7 is free to be subtracted from both sides

(A/3)-7=Z

#17. (2x/5)-9=6

First add 9 to both sides

2x/5=6+9

2x/5=15

Multiply both sides of the equation by 5

2x=5(15)

2x=75

Divide by 2

x=75/2

x=37.5

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Answers

Answer:

Tyler practiced piano = 48 minutes

Step-by-step explanation:

Missing;

Hen practiced piano = 75 minutes

Given:

Tyler practiced piano = 64 % of Hen

Find:

How long Tyler practiced

Computation:

Tyler practiced piano = 64 % of Hen

Tyler practiced piano = 64 % x 75

Tyler practiced piano = 48 minutes

HElp

The diagonal length of a rectangle is 19 inches, and the length of the rectangle is 7 inches. Which measurement is closest to the width of this rectangle in inches? 12 in. 17.7 in. 20.2 in. 26 in.

Answers

Answer:

17.7

Step-by-step explanation:

PLEASE HELP THANKS!!!

Answers

Answer:

You first need to know what number 6 4/5 is, which is 6.8. To figure it out, you multiply 6 by 5 then add 4 and put the number you get on top of the fraction so it would be 34/5 = 6.8

6.9 is the answer

6.9 is bigger than 6.8 and smaller than 7

Zachary has been flipping a coin, and he noticed that he had the coin come up tails five times in a row. "The next time has to be heads!" He exclaims. Is he right? Is it theoretically more likely to come up heads? Please explain

Will mark BRAINLIST if right.

Answers

Answer:

No. Each toss is independent so it is NOT more likely to come up heads the next time.

Step-by-step explanation:

That is the answer. Hope it helps

solve for x round your answer to the nearest tenth

Answers

Answer:

13.7

Step-by-step explanation:

Pythagorean theorem converse

Answer:

The value of x is 13.7.

Step-by-step explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7[/tex]

Other Questions
Helen has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250g packs.b) (i) What is the exact amount of butter she needs?(ii) How many packs of butter will she have to buy? 10.0 pointsWhen you drop a 0.38 kg apple, Earth exertsa force on it that accelerates it at 9.8 m/s to-Ward the earth's surface. According to New-ton's third law, the apple mustexert an equal but opposite force on earth. If the mass of the Earth is 5.98 x 10^24 kg, what is the magnitude of the Earths acceleration towards the apple? Answer in units or m/s^2 Why are golden eagles successful hunters? (PICK AS MANY AS U CAN) [WILL PAY GIVE CASH APP]They are able to use echolocation.They are able to move quickly.They are fast.They are strong. *EWhich angle is an acute angle? Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2) help please !! i will give brainliest Which planets is terrestrial True or False: The current structure of Congress was a compromisebetween equal representation and proportional representation. Immediately following the Civil War, there was a concerted effort by southern whites to maintainA: Civil disobedience B: Intergration C: equality D: White supremacy What formula would you enter in c4 that combines a4 and b4 to get a result like c2 tax return 12-59 assignment What is the length of ML if the inside is 50 degrees, and the outside is 5ft? Use pi - 3.14! I'll give Brainliest! What is the Mandate of Heaven? How is it similar to the way other rulers were chosenin ancient times? PLEASE HELP ASAP How do I find the missing angle in a triangle. A digital presence created online by an individual or organization using a digital device is called a identity. 1. What is 5% of 224? An oil-producing country can sell 7 million barrels of oil a day at a price of $120 per barrel. If each $1 price increase will result in a sales decrease of 100,000 barrels per day, what price will maximize the country's revenue Please translate this I dont know language Now, read about Asian countries, and skim this information on Muslim cultures that have resisted or reshaped Americanization and globalization of the world. In Asia, how have countries tried to protect their own local cultures? In Muslim cultures, what are some arguments for and against globalization? Buscar los recursos literarios de los poemas noche oscura y la nia de Guatemala