Show that 4x - x? – 7 is always
negative.




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Answer:

7√x - 5

Step-by-step explanation:

Let the number be x

The product of 7 and  the square root of a number is expressed as;

7 * √x

= 7√x

five less than the product of 7 and  the square root of a number will be expressed as;

7√x - 5

Hence the required expression is 7√x - 5

[tex]1\frac{1}{9}[/tex]

Answer:

A=30 is the smallest side

Step-by-step explanation:

A+B+C= 180

30+70+C=180

100+C=180

C=180-100

C=80

Therefore, A=30 is the smallest side of the triangle...

Answer:

10*10*10

Step-by-step explanation:

Given the expression 10^3

We are to write this as a series of products as as shown;

10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.

10^3 = 10 * 10 * 10

Hence the series of product of 10^3 is 10*10*10

9514 1404 393

Answer:

  -8x -11

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine the constant terms.

  -4(2x +4) +5

  = -8x -16 +5

  = -8x -11

[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]

[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]

[tex]\sf \longmapsto−8x+−16+5[/tex]

[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]

[tex]\sf \longmapsto−8x+−11[/tex]

[tex]\sf \longmapsto - 8x - 11[/tex]

Answer:

y = 2/3x + 1.5

Step-by-step explanation:

The Formula for that is

y = mx + b

m = slope

b =  y -intercept

so to find the slope I would do y/x or rise over run

So your slope is 2/3 ( it goes up 2 and right 3 times)

Since the line is going up and not down, it is a positive slope

y = 2/3x + b

we need to find where the line crosses the  vertical / y-axis and it's at the point.... (0,1.5)

y = 2/3x + 1.5

Hope this helped a little!

Answer:

27

Step-by-step explanation

have a great day

Answer:

3*9=27

Step-by-step explanation:

The thing that is true about 3*9 is that it is also equal to 9*3.

Hope this helped!! :)

Answer:

7 Weeks

Step-by-step explanation:

Each week is 105 because 1500*.07=105

Then through the process of elimination I found it would take 7 weeks.

Answer:

320 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Solving for x:

Answer:

B: 48π cubic centimeters

Step-by-step explanation:

A: 216π cubic centimeters

B: 48π cubic centimeters

C: 144π cubic centimeters

D: 192π cubic centimeters

Volume of the paper cone cup = 1/3πr²h

Diameter = 8 cm

Radius, r = diameter / 2

= 8 cm / 2

= 4 cm

Height, h = 9 cm

Volume of the paper cone cup = 1/3πr²h

= 1/3 × π × 4² × 9

= 1/3 × π × 16 × 9

= (1 × π × 16 × 9) / 3

= 144π / 3

= 48π cm³

Volume of the paper cone cup = 48π cm³

Answer:

[tex]\huge\boxed{11.25}[/tex]

Step-by-step explanation:

When finding the average of a set of numbers, we

Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

[tex]\frac{s}{n}[/tex]

Since we already know the sum and we know how many numbers there are (8), we can substitute inside our expression [tex]\frac{s}{n}[/tex] to find the average.

Therefore, the average of all these numbers is 11.25.

Hope this helped!

Answers:

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

Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

---------------------

Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

---------------------

Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

---------------------

Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

---------------------

Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

---------------------

Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

In this case, we found that

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

Answer:

b. – 0.4(x + 1.6) = 1.6

Step-by-step explanation:

The equation with negative solution is -

- 0.4(x + 1.6) = 1.6

Given are the equations as shown in the question.

The equation with the negative solution are -

- 0.4(x + 1.6) = 1.6

- 0.4x - 0.64 = 1.6

- 0.4x = 1.6 + 0.64

- 0.4x = 2.24

x = - (2.24/0.4)

Therefore, the equation with negative solution is -

- 0.4(x + 1.6) = 1.6.

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Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Answer: y is 40 x is 60

Step-by-step explanation:

Answer:

x=40 and y =5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

8 ft in 15 sec

16 ft in 40 sec

8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs

Answer:

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

How Do I Know?

Because I literally just did it just now and that's what it said that the answers were. January 9th, 2021- Edge :)

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given:

To prove that triangle ABC is similar to triangle NML.

The following points are considered:

∠B ≅ ∠M

△ABC was rotated and dilated by a scale factor between 0 and 1.

∠C ≅ ∠L.

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Answer:

? = -36

Step-by-step explanation:

When you raise an exponent to an exponent, the resulting power is a product of the two exponents.

For this problem, you can solve for the missing value by writing:

[tex]?*1/3=-12[/tex]

Divide both sides by 1/3 to isolate the missing value.

[tex]?=\frac{-12}{1/3}[/tex]

Solve for ?.

[tex]?=-36[/tex]

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575     Eqn 1

x+0.5y= 500     Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

[tex]\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150[/tex]

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

Step-by-step explanation:

10% of 75 is the total kg he lost this month

So 10/100 x 75 = 7.5

So Diego lost 7.5 kg this month

Answer:

C.

Step-by-step explanation:

Answer:

Yes, π/12 is a solution.

Step-by-step explanation:

Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 .  Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.

The statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]

We need to check whether [tex]\frac{\pi}{12}[/tex]  is a solution for the equation.

Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]

[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]

This means,  [tex]\frac{\pi}{12}[/tex]  is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]

Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

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Answer:

(2,2)=x1,y1

(4,b)=x,y

(6,10)=x2,y2

using midpoint formula,

y=(y1+y2)/2

y=(2+10+)/2

y=6

which makes (4,b)=(4,6)

again,

(4,6)=x1,y1

(6,10)=x2,y2

(a,8)=x,y

using midpoint formulax=(x1+x2)/2

x=(4+6)/2

x=5

which makes (a,8)=(5,8)

Answer:

30

Step-by-step explanation:

The number of Jefferson students and the number of non-Jefferson students if A student attending Jefferson pays $5, A student attending a different school pays $10 is 373 and 127 respectively.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

A student attending Jefferson pays $5,

A student attending a different school pays $10,

The total number of tickets = 500,

The total money earned = $3135,

Write the equation of the given statement as shown below,

x + y = 500

5x + 10y = 3135

Here, x is the number of Jefferson students and y is the number of non-Jefferson students,

Solve the equation by elimination method as shown below,

y = 127,

x = 500 - 127 = 373

Thus, the number of Jefferson students is 373 and the number of non-Jefferson students is 127.

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Answer:

Y=-1+2x/3

Step-by-step explanation:

Move all the terms that don't contain y to the right side and solve. Hope this helps!

Answer:

18 feet long

Step-by-step explanation:

252 ÷ 14 = 18

:)