Prove that 3(x+1)(x+7)-(2x+5) ^2 is never positive

Answers

Answer 1

Answer:

Step-by-step explanation:

It will never be positive becasue there is a negitive sign in the equation. negitives overule positives. Therefor it will never be positive.


Related Questions

and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)

Answers

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

The times for completing one circuit of a bicycle course are normally distributed with
a mean of 72.5 minutes and a standard deviation of 6.5 minutes. An association
wants to sponsor a race but will eliminate the bottom 75% of riders. In a trial run,
what should be the cutoff time?

Answers

Answer:

The answer is 76.9 rounded or rounds.

Step-by-step explanation:

Solution

Given that:

Mean = μ = 72.5

Standard deviation = σ = 6.5

Now

By applying the standard normal table we have the following:

P(Z < z) = 75%

= P(Z < z)

= 0.75

Thus

z =0.67 by using the standard normal z table

Applying the  z-score formula we have:

x = z * σ + μ

x = 0.67*6.5+72.5

x= 76.855 ≈ 76.9

Therefore the cutoff time is 76.9 rounds.

Question 14 (1 point)
Saved
If f(x) = x2 + 5, f(-3) =
14
15
O 1) -
17
18
2-4
20
21
3) 14
O 4) 11
23
24
O 5)-11

Answers

Answer:

-6

Step-by-step explanation:

arrange these numbers in order of size from smallest to largest 2.64 21.3 12.35 12.06 2.8 2.09

Answers

Answer:

2.09,2.64,2.8,12.06,12.35 and 21.3

Step-by-step explanation:

Noah is planning his birthday party. He is deciding between three themes: space, safari, and comics. He also has to determine where he wants his party, at a skating rink or a park. Lastly, he needs to pick the day of the week that the party will happen. His options are Friday, Saturday, or Sunday. How many different possible party outcomes does Noah have with all of these options?

Answers

18 because
3 (themes) X 2 (places) X 3 (days) = 18

The number of different possible party outcomes does Noah have with all of the given options is 18 ways.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that,

Number of themes = 3

Number of party places = 2

Number of days = 3

Number of outcomes = 3×2×3

= 18 ways

Therefore, the number of different possible party outcomes does Noah have with all of the given options is 18 ways.

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The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.

Answers

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

-10 = -2a - 2b    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

In the diagram, what is the measure of angle 1 to the nearest degree? A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees; blank, blank, (7 x minus 2) degrees, 1. 82° 92° 94° 98°

Answers

Answer:

98 degrees

Step-by-step explanation:

The measure of angle 1 is  92°

The correct option is B.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A transversal intersects 2 lines to form 8 angles.

Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees;

blank, blank, (7 x minus 2) degrees, blank.

Now, the property of the supplementary angles:

m∠1 + m∠2 = 180°

m∠1 = 180 - 88

m∠1 = 92°

Therefore, the angle measure of angle 1 is 92°.

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Which best describes the relationship between the line that passes through the points

Answers

Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x =  -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

Graph the equation by plotting three points -3y=x-6

Answers

Answer:

Use a graphing calc

Step-by-step explanation:

can someone simplify (3x)^4

Answers

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

please mark me brainliest!

the dead sea is at an elevation of -1,360 feet. A seabirds flying over the dead sea at an elevation of -422 feet. if the bird lands on the dead sea, what will be its change in elevation

Answers

Answer:

- 938

Step-by-step explanation:

We can change these to positive just so its easier to work with

So 1360 - 422 = 938

since they are going down you just have to change the number to a negative.

The change in elevation is 938 feet.

To find the change in elevation.

What is elevation?

The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.

Given that:

Dead sea is at an elevation = -1,360 feet.

seabirds flying over the dead sea at an elevation =-422 feet.

Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative.

So, difference between the depth and the surface of the dead sea

= Dead sea is at an elevation - seabirds flying over the dead sea at an elevation

=-1360-(-422)

=-938 feet.

But that would just describe a regular negative subtraction problem, so it becomes 938 feet.

This answer is positive since it describe the distance between these integers.

So, the change in elevation is 938 feet.

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divided 80 by my number, and then added 13. The result was 93. What was my number ?

Answers

Answer:

6400

Step-by-step explanation:

6400/80=80

80+13=93

Hope this Helps

Pls Mark as Brainliest

Your number was 6400 because when 6400/80= 80, Then 80+13= 93.

What is division explain?

Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.

What is a division example?

In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.

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How old will Alyssa be when she is three times younger than her mom? Alyssa is 10.

Answers

Alyssa would be 10 because it’s not asking for her moms age it’s asking for Alyssas. it’s a trick question.

Questions in image below

Answers

Answer:

domain 0<=x<=infinty or [0,infinity)

Range 0<=y<=infinity or [0,infinity

Step-by-step explanation:

It’s infinitey my mans

express [tex]\frac{123}{65}[/tex] as a continuous fraction.

Answers

Answer: 1.89230769231

Step-by-step explanation:

please tell me how to solve this step


fast correct answer will be marked brainliest and other copies from website will be reported........​

Answers

Answer:

See Explanation

Step-by-step explanation:

From your question, what you need is the explanation;

Given that [tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Required: Simplify

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]

Group the expression above

[tex]((x - 1) - \sqrt{2})((x - 1) + \sqrt{2})[/tex] -------- Expression 1

The expression can be expanded using difference of two squares;

[tex](a - b)(a + b) = a^2 - b^2[/tex]

By comparison, Expression 1 can be rewritten as

[tex](x - 1)^2 - (\sqrt{2})^2[/tex]

Open both brackets

[tex](x - 1)(x - 1) - (\sqrt{2})(\sqrt{2})[/tex]

Expand the above expression

[tex](x(x - 1) -1(x - 1)) - 2[/tex]

[tex](x^2 - x -x + 1)- 2[/tex]

[tex](x^2 - 2x + 1)- 2[/tex]

Remove bracket

[tex]x^2 - 2x + 1- 2[/tex]

[tex]x^2 - 2x - 1[/tex]

Hence,

If

[tex](x - 1 - \sqrt{2})(x - 1 + \sqrt{2})[/tex]  is a factor of p(x)

Then

[tex]x^2 - 2x - 1[/tex] is a factor of p(x)

Let T(x)=−6x4+x2−1 ....

Answers

Answer:

D is the correct answer.

Step-by-step explanation:

Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)

-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3

Combine Like Terms

-12x^7 + 26x^5 - 18x^4  - 6x^3 + 3x^2 + 4x - 3

10 rubber stamps cost $10.30 Which equation would help determine the cost of 2 rubber stamps?

Answers

10.30/10 = 1.03 per stamp 1.03 x 2 = $2.06 for two

Answer:
$2.06
Rounded:
$2.00

The cost of 2 rubber stamps is $2.

We have given that rubber stamps cost $10.30  

we have determined the cost of 2 rubber stamps.

We have to find the price per stamp.

What is the formula for the value price of one stamp?

[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]

Therefore we get,

10.30/10 = 1.03 per stamp

For two stamps:

1.03 x 2 = $2.06 for two

=$2.06

=$2

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find equation of vertical line through (-5, -3)

Answers

Answer:

x = -5

Step-by-step explanation:

Given that it is a vertical line, we know that it will only go through one x-value.

We are also given a point, (-5, -3).

This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.

I NEED THIS BY 11:50!!! PLEASE HELP, WILL MARK BRAINIEST IF CORRECT!
Use these expressions to answer the questions.
Expression A: (x + y)
Expression B: (x) + (y)
Choose a positive value for x and positive value for y. Then, do the following steps:
Substitute the x- and y- values into expression A and expression B.
Simplify.
Write the result of each expression. Repeat these steps for the next three situations: Choose a negative value of x and a negative value y. Choose a positive value of x and a negative value of y. Choose a negative value of x and a positive value of y. 2.
Describe any patterns you notice. Are the two expressions ever equal? Can one be greater than the other?

Answers

Answer:

Both expressions are equal. One expression cannot be greater than the others.

Step-by-step explanation:

The given expressions are:

A:   (x + y)

B:   (x) + (y)

Let x = a and y = b

A:   (a+b) = a+b

B:   (a)+(b) = a+b

Let x = -a and y = -b

A:   (-a+ (-b)) = -a-b

B:   (-a)+(-b) = -a-b

Let x = a and y = -b

A:   (a+(-b)) = a-b

B:   (a)+(-b) = a-b

Let x = -a and y = b

A:   ((-a)+b) = -a+b

B:   (-a)+(b) = -a+b

We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other

Need help with this question please:

Answers

Answer:

If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps

Step-by-step explanation:

Using the graph as your guide, complete the following statement.
The discriminant of the function is


options are
a. negative
b. zero
c. positive

Answers

The parabolic touch x axis just one time. When it happens, the discriminant of the function is zero. ([tex]\Delta = 0[/tex]).

Therefore, the correct option is letter b).

Answer:

zero

Step-by-step explanation:

a pex

I need helpppppppppppp

Answers

Answer:

Loss of 52 pounds = -52

Opposite of that integer = 52

Explanation: -52 is opposite of 52 and vice versa.

The median of the list n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19 is 20. What is the mean?

Answers

Answer:

16

Step-by-step explanation:

The median is the average of n + 7 and n + 8 which is n + 7.5. This means that n + 7.5 = 20 so n = 12.5. The average (or mean) is the sum of terms divided by the number of terms. The sum is 10n + 85 and the number of terms is 10, We know that n = 7.5 so the answer is 10 * 7.5 + 85 / 10 = 75 + 85 / 10 = 160 / 10 = 16.

Answer:

21

Step-by-step explanation:

To find the median of the given set, you narrow the options down and get n+7 and n+8 as the middle numbers. The average of those two is n+7.5, so that's the median.

n+7.5=20

n=12.5

Substitute n into the values.

12.5, 14.5, 15.5, 17.5, 19.5, 20.5, 23.5, 26.5, 28.5 and 31.5.

Add everything together to get 210. Divide 210 by 10, the number of values, and you end up with 21.

The following graph represents the equation y=-3/2x+3?

Please select the best answer from the choices provided.

TRUE OR FALSE

Answers

Answer:

yes

Step-by-step explanation:

FALSE
the line should be going the opposite way :)

The length of a rectangular pool is 4yds longer than twice the width. If the area is 70 square yards, find the dimensions.

Answers

Answer: Found it by web and solving

Step-by-step explanation: L = W + 4

LW = 60

---

LW = 60

(W + 4)W = 60

W^2 + 4W + (-60) = 0

---

above is in quadratic equation form: ax^2 + bx + c = 0

---

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

---

the two solutions are:

W = 6

W = -10

 

the negative solution doesn't make sense for length, so use the positive solution.

---

L = 10

W = 6

L is equal to 10
W is equal to 6

help help help help plz plz

Answers

Answer:

Pretty sure Its B

Step-by-step explanation:

Answer:

I believe it's the third answer: 2b+20=240

Step-by-step explanation:

2b=The two buses

$20= the tip

240= the money raised

Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2

Answers

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

Lina is making a trail mix of a hiking trip. She has 2 1/2 cups of peanuts, 3 1/4 cups of raisins, and 2 2/3 cups of banana chips. How many cups of trail mix can she make? Please answer this if you want too.

Answers

Answer: 8 cups of trail mix

Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.

Hope this helps:)

PLS RESPOND ASAP 7th grade math

Answers

Answer:

3/4

Step-by-step explanation:

The constant of proportionality is y/x

3/4

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