Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?

Answer:

tanG = 2

tanH = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The function tangent is the opposite side divided by the adjacent one(SohCahToa).

Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:

tan(m<G) = [tex]\frac{opposite}{adjacent}[/tex]

tan(m<G) = [tex]\frac{2}{1} = 2[/tex]

The same can be done for <H. The opposite side is 1 while the adjacent is 2:

tan(m<H) = [tex]\frac{opposite}{adjacent}[/tex]

tan(m<H) = [tex]\frac{1}{2}[/tex]

The quadratic functions are given as below:-

x = 3y² - 6y + 5

y = 2x² + 2

y = 2x² -8x + 6

y = 5x² + 45x -8

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

As we know that the function which will have the highest power of the variable equal to 2 will be called a quadratic polynomial.

So from the given expressions following equations has a degree of 2.

x = 3y² - 6y + 5

y = 2x² + 2

y = 2x² -8x + 6

y = 5x² + 45x -8

Therefore the above equations are quadratic functions.

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The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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Answer:

they are 10km 32 degrees far from each other

Step-by-step explanation:

scott - 100km - 30 degrees

spork - 110km - 62 degrees

how far = difference between them

as spork's distance and degrees are greater than scott we substract Scott's from spork's

110 - 100 = 10 km

62 - 30 = 32 degrees

they are 10km 32 degrees far from each other

The score(s) that will be obtained respectively in an independent-measures design and repeated-measures design are; 1 and 2

There are different ways to carry out an experiment in mathematics. This is because there are various means of research and also ways to interpret the results.

Now, when comparing two treatment conditions, an independent-measures design would always obtain 1 score for each subject. However, when a repeated-measures design is carried out on the same sample, it will obtain 2 scores.

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Answer:

Step-by-step explanation:

I’m not sure u didn’t even add numbers

The volume of a cone with radius of 4x and a height of 21xy² is 352 x³y²

Using the formula:

V=πr²h/3

Where r= radius = 4x

h= height = 21xy∧2

Substitute the values into the equation

V = 22/7 × 4x × 4x × (21 × x × y × y) ÷ 3

V = 22/7 × 16x² × 7xy²

V= 22 × 16x² × xy²

Multiply all through

Volume, V = 352 x³y²

Therefore, the volume of the cone is 352 x³y²

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Answer:

-2/5

Step-by-step explanation:

the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer

Answer:

True

Step-by-step explanation:

Cant really provide step by step per se.

Answer:

z = 10

Step-by-step explanation:

First apply multiplication to inside the parenthesis:

2(z+5) = 2z + 10

5(z+ 2) = 5z + 10

10(z − 1) = 10z - 10 now write the full equation

2z + 10 + 5z + 10 = 10z - 10 add like terms

7z + 20 = 10z - 10 transfer like terms to the same side of the equation

20 + 10 = 10z - 7z

30 = 3z divide both sides by 3

10 = z

Answer:

3x - 11

Step-by-step explanation:

x + 5/ 3x-11

3x - 11 is the quotient

Hey there!

[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]

[tex] \\ [/tex]

[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]

[tex] \hookrightarrow [/tex] Subtract 3 from both sides :

[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]

[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :

[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, our answer is d = -5

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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.

[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]

combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.

[tex]\boldsymbol{d+3=-2}[/tex]

Subtract 3 from both sides.

[tex]\boldsymbol{d=-2-3}[/tex]

Subtract 3 from −2 to get −5.

[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]

Let d=-5.

[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]

[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]

[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]

[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]

[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]

[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]

[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]

[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]

[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]

Checked ✅

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

How tall are you

ez clappp

The difference in distance between Aero plane A and B is; 34.67 km

To get the bearing;

∠H = (115 - 90) + (270 - 203)

∠H = 92°

Then, we will use cosine rule to get the distance between both Planes A and B.

d_ab = √(18² + 29² - 2(18 * 29) * cos 92)

d_ab = √(324 + 841 + 36.435)

d_ab = 34.67 km

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Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

Answer:

94

Step-by-step explanation:

add all the sides together

Answer:

x = 55.866 ft.

Step-by-step explanation:

39^2 + 40^2 = x^2

1521 + 1600 = 3121

sqrt(3121) = 55.8659

Rounded = 55.866

Make sure to add the ft.

Answer:

Step-by-step explanation:

a²+b²=c²

39²+40²=c²

3121=c²

c=√3121

c=55.866 to 3.d.p

Answer:

20cm²

Step-by-step explanation:

3+3=6, 4+1=5 (make it a rectangle and find the sides first)

A=6×5=30cm²

Now you can take away the invisible sides,

30-6-3-1=20

Answer:8000 i think

Step-by-step explanation:

=20 to the power of nine-20 to the power of four=20 to the power of three.

20 to the power of three is 8000.

Hope this helps.

Answer:

f(x)=2|x|

Step-by-step explanation:

graphing calculators work wonderz

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

Answer:

D

Step-by-step explanation:

7.50/10=0.75

0.75*6=4.5

So, you will get 6 batteries for $4.50 which of course is less than $4.95.

The number of small tiles are needed​ is 300 tiles.

Using area of rectangular formula

Area of the room = length(l) × breadth (b)

Area of the room=300 cm×180 cm

Area of the room=54,000 cm²

Number of tiles needed = Area of rectangular region / Area of one tile

Number of tiles needed=54,000/180

Number of tiles needed=300 tiles

Therefore the number of small tiles are needed​ is 300 tiles.

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Answer:

$17.60

Step-by-step explanation:

20% of $22 is $4.4 - Subtract $4.40 from $22 to calculate the discounted price: $17.60

Hope this helped! :)

Answer:

Correct option is C)

given, y≥2x+1 and

y>

2

1

x−1

Answer:

D

Step-by-step explanation:

y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)

Now check those point,

we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.

Answer:

125.6 in²

Step-by-step explanation:

Area shaded :

Answer:

B i think

i examined carefully and im %75 sure that is it B

Step-by-step explanation:

im so sorry if it's wrong

Answer:

B

Step-by-step explanation:

more people prefer chicken.

because  73 people prefer chicken.

more people under 40 prefer chicken.

because 39 people prefer chicken where as only 21 people prefer steak

so the correct answer is b

Answer:

  0.86°

Step-by-step explanation:

The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...

  Tan = Opposite/Adjacent

__

The geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.

For angle α, we have the relation ...

  tan(α) = (6 ft)/(400 ft) = 0.015

The inverse tangent function can be used to find the angle from its tangent:

  α = arctan(0.015) ≈ 0.859372°

The angle of elevation needs to be a minimum of 0.86°.