Solve the equation. -4x-8=12

Answer:

x = -4/3

Step-by-step explanation:

First, expand.

3 - 2(x - 4) = -5x - 7

Then, combine like factors.

3 - 2x + 8 = -5x + 7

11 - 2x = -5x + 7

Add 5x to both sides.

(11 - 2x) + 5x = (-5x + 7) + 5x

11 + 3x = 7

Subtract 11 from both sides.

(11 + 3x) - 11 = 7 - 11

3x = -4

Divide both sides by 3

(3x)/3 = -4/3

x = -4/3

Answer:

x = -6

Step-by-step explanation:

3-2(x-4)= -5x-7

Distribute

3 -2x +8 = -5x -7

Combine like terms

11 -2x = -5x -7

Add 5x to each side

11 -2x+5x = -5x-7+5x

11+3x = -7

Subtract 11 from each side

11+3x-11 = -7-11

3x = -18

Divide by 3

3x/3 = -18/3

x = -6

Answer: False

Step-by-step explanation: A linear correlation scatter plot is one which is aimed at establishing a graphical view of the relationship between two quantitative variables. A linear correlation scatter plot could either be positive which is depicted by a positive gradient which infers direct proportionality, this means an increase in variable A results in increase in variable B while a decrease in variable A results in decrease in variable B. Similarly, it could also exhibit a negative gradient which infers a inverse proportionality meaning a decrease in one variable leads to increase of the other and vice-versa. Hence, a linear scatterplot does not only exhibit direct proportionality.

Answer:

0.9544

Step-by-step explanation:

Given that, his bell shapes and hence follows a normal distribution.

Mean (x) = 25.6 ; standard deviation (s) = 0.9

Approximate proportion of observation that lies between 23.8 and 27.4

Taking the Zscores of both values :

X - mean / standard deviation

(23.8 - 25. 6) / 0.9 = - 1.8/0.9 = - 2

P(Z < - 2) = 0.0228

Also;

(27.4 - 25.6) / 0.9 = 1.8 / 0.9 = 2

P(Z> 2) = 0.9772

0.9772 - 0.0228 = 0.9544

Answer:

16.5

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x+1.5[/tex]

To find f(2.5), substitute 2.5 for x. Thus:

[tex]f(2.5)=6(2.5)+1.5[/tex]

Multiply:

[tex]f(2.5)=15+1.5[/tex]

Add:

[tex]f(2.5)=16.5[/tex]

And we're done!

Answer:

Step-by-step explanation:

Given the following scores 3, 7 and 2, we are to find the expression Σ2X-2 and Σ(X-1)²

The value of X's are 3, 7 and 2. Substituting the values we will have;

Σ2X-2 = [2(3)+2(7)+2(2)] - 2

Σ2X-2 = (6+14+4) - 2

Σ2X-2  = 24-2

Σ2X-2  = 22

For  Σ(X-1)²

Σ(X-1)² = (3-1)²+ (7-1)² + (2-1)²

Σ(X-1)² = 2²+6²+1²

Σ(X-1)² = 4+ 36+1

Σ(X-1)² = 41

Σ2X  - 2 = 22 , Σ( X - 1 )^2 = 41

Given : X = 3 , 7 , 2

Σ2X is calculated in the image = 24

Σ2X  - 2 = 24 - 2 = 22

Σ( X - 1 )^2 calculation is shown, it is = 41

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Answer:

[tex]Volume = \frac{220}{7}r^2[/tex]

Step-by-step explanation:

Given

Height = 10cm

See Attachment for complete question

Required

Determine the volume of the circle

The volume is calculated as thus;

[tex]Volume = \pi r^2h[/tex]

Take [tex]\pi[/tex] as [tex]\frac{22}{7}[/tex]

So; Volume becomes

[tex]Volume = \frac{22}{7} * r^2 * h[/tex]

Substitute 10 for h

[tex]Volume = \frac{22}{7} * r^2 * 10[/tex]

[tex]Volume = \frac{220}{7} * r^2[/tex]

Since, the value of the radius is not given;

The volume of the circle is:

[tex]Volume = \frac{220}{7}r^2[/tex]

Answer:

2(z+3)

Step-by-step explanation:

2z+6

take out the 2: 2(z+3)

Answer:

Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Step-by-step explanation:

Given that;

q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }

supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)

we substitute

720/p - 1  = 0.018p − 1

720/p = 0.018p

720 = 0.018p^2

p^2 = 720/0.018 = 40000

p = sqrt(40000)

p = 200

substitute value of p

q = 0.018(200) − 1

q = 3.6 - 1 = 2.6

Therefore Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Answer: The number is -9/7  

Step-by-step explanation:

The statement can be expressed by the equation

7(n + 2) = 5       where n is the number

Now solve for n

7(n+2) = 5   distribute on the left side

7n + 14 = 5

      -14    -14

7n = - 9

n = -9 /7

Answer:

70.833333

Step-by-step explanation:

Divide 425 by 6

Step-by-step explanation:

drugs dgxln fix ezutxohcpuvpucitzkyxoh pi

Answer:

just do it on ur caslc im pretty sure it would work

Step-by-step explanation:

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

The possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have the given statement that 1.4 < √2 < 1.5

We have to determine the possible values of  2-√2 as 2+(-√2).

According to the question,

⇒ 1.4 < √2 < 1.5

Multiply by a minus sign (-) in the inequality

⇒ -1.4 > -√2 > -1.5

Adding 2 in the inequality

⇒ 2-1.4 > 2 -√2 > 2-1.5

⇒ 0.6  > 2 -√2 > 0.5

Hence, the possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

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Answer:

A. Vertical translation

Step-by-step explanation:

Edge test

Answer:

Hey there!

First, I converted 8 feet to inches. I knew that 12 inches were in a foot, so 96 inches are in 8 feet. If the water rises at 8 inches per hour, at the end of 6 hours, the water will rise 48 inches. Finally, subtracting 48 from 96, we get that there are 48 inches of rope above the water's surface.

Let me know if this helps :)

Answer:

So theres 13 cards of heart and diamond

so 26 cards out of 52,

26/52

Answer:

here u go

Step-by-step explanation:

16 /5      =3 and 1 over 53  1 /5=3.2

Answer:

by answering others ppl questions

Answer:

you make points by answering to others peoples questions. :)

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

Answer:

7x + 13y [tex]\leq[/tex] $81

Step-by-step explanation:

The inequality that represents the situation given will be  7x + 13y ≤ 81.

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Answer:

5/3 does'nt belong.

Step-by-step explanation:

think about it.

33% = 1/3 = .6666666 they are all the same. 5/3 doesnt belong

The number 5/3 does not belong.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given number:

33%

Now, we can write the percentage as

33/100

≈1/3

on converting the fraction in decimal

=0.666...

Hence, the which does not belong this pattern is 5/3.

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Answer:

15.25 hours atleast.

Step-by-step explanation:

First  rewrite the expression so it helps us find the answer.

4(h+11)-15=90

Distribute -> Substract from both sides -> Divide 61/4

[tex]4(h+11)-15=90\\4h+44-15=90\\4h+29=90\\4h=61\\61/4= 15.25h[/tex]

Answer:

10 cm³

Step-by-step explanation:

Volume of a cube = (Side)³

Volume of bigger cube = (12)³

                                           (12)³ = 1728 cm³

Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728

(x)³ = 1728 - (6)³ - (8)³

(x)³ = 1000

x = ∛1000

x = 10 cm³

Answer:

the area is 9in^3

Step-by-step explanation:

the formula for area of a triangle is 1/2bh, so it's 1/2 x 7.2 x 2.5

Answer:

45

2

03

16

26

224

Step-by-step explanation:

Answer: x = 10

Step-by-step explanation: You add 3 + 7 which equals 10. 10 minus 3 is 7.

Answer:

aef = fed = 51 degrees,

and the full angle aed = 102 degrees

Step-by-step explanation:

If ef bisects the angle aed, then the two angles it defines: aef and fed, must measure the same.

Therefore we can asume that aef = fed which numerically means:

4 x + 3 = 7 x - 33

so we solve for x:

33 + 3 = 7 x - 4 x

36 = 3 x

x = 36/3

x = 12 degrees

That means that the half angle aef measures:

aef = 4 x + 3 = 4 (12) + 3 = 48 + 3 = 51 degrees

Then we have that aef = fed = 51 degrees,

and the full angle aed = 51 + 51 = 102 degrees

Answer:

y - 4 = 4(x - 2)

Step-by-step explanation:

Please write these points as (2, 4) and (3, 8) (use commas and parentheses).

As we move from (2, 4) to (3, 8), x increases by 1 and y increases by 4.  Thus, the slope is m = rise/run = 4/1 = 4

and the equation of the line through these two points (in point-slope form) is

y - 4 = 4(x - 2)

The slope of the line that passes through the point (2 4) and (3 8) is​ 4

The formula for calculating the equation of a line passing through the point (x1, y1) and (x2, y2) is expressed using the formula:

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

Given the coordinate points (2 4) and (3 8), the slope is expressed as:

[tex]m=\frac{8-4}{3-2}\\m=\frac{4}{1}\\m = 4[/tex]

Hence the slope of the line that passes through the point (2 4) and (3 8) is​ 4

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Answer:

the answer is angle addition postulate

Step-by-step explanation:

Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.

The given diagram as shown in the image attached below alongside the proof of x = 30.

T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.

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