2 is greater than or equal to −11

A correct answer is an option a which is 2x = - 23  

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We need to select correct statements from the given options.

2 ( x - 6 )  = - 35

2 x - 12 = - 35

2x=-35+12

2x = - 23

Therefore, 2 ( x - 6 )  = - 35  is equivalent to .2x=-23

8(x-7)=35

8x-556=35

8x=91

Therefore, 8(x-7)=35 is not equivalent to 8x=91.

9(x-6)=-35

9x-54=-35

9x=19

Therefore,9(x-6)=-35  is not equivalent to 9x=19.

4(x-5)=35

4x-20=35

4x=55

Therefore,4(x-5)=35  is not equivalent 4x=55 to .

Hence, the correct answer is an option a which is 2x = - 23  

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Answer:

It's the last choice.

Step-by-step explanation:

It has a V shape because of the absolute value lines |    |

But it is  an inverted V because of the leading negative.

The vertex is at y = 1 because of the + 1.

The + 4 moves the whole graph 4 units to the left of the origin.

So the vertex is at (-4, 1)

Answer:

The correct option is graph D. because the equation has all negative x values, meaning this graph will be to the left.

Why is the graph not facing upwards?

This is because some of the y values are equal to 1 or negative 1, causing the graph to face downwards.

Answer:  u can use this to practice and u can also find your awnser in thes pic

Step-by-step explanation:

Answer:

886.3 feet

Step-by-step explanation:

cos(10°) = d/900

d = 900 cos(10°) = 886.3 feet

The empirical probability is Life insurance, Car insurance, and Mortality.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Therefore the empirical probability will be Life insurance, Car insurance, and Mortality.

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Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Answer:

Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Step-by-step explanation:

The  inequalities that can be used to determine the possible number of bass in the pond over time are: P≥250e^0.048t; P≤275e^0.048t.

Given:

r=4.8/100=0.048

Initial amount:

Lower end=250

Upper end=275

Using this equation to determine the inequalities

A=p×e^rt

Where:

A=Amount

P=Population

r=Growth rate

t=Time

Let plug in the formula

Inequalities:

P≥250e^0.048t

P≤275e^0.048t

Therefore the inequalities are : P≥250e^0.048t; P≤275e^0.048t.

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Answer:

15 centimeters each = the two other sides of the triangle is 30 cm.

Step-by-step explanation:

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

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Step-by-step explanation:

x = 3

y = - 2

z = 6

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

Answer:

13/15

Step-by-step explanation:

you multiply the numbers by each other like 3×1/5 = 3/15 and 5×2/3 = 10/15

then you add them to get 13/15

There are 55 values in the range 0 to 55

The minimum is given as:

Minimum = 0

The maximum is given as:

Maximum = 55

The range is calculated using:

Range = Maximum - Minimum

So, we have:

Range = 55 - 0

Evaluate

Range = 55

Hence, there are 55 values in the range 0 to 55

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Answer:283 awnser is 283

Step-by-step explanation:

Answer:

[tex]m\angle 2= 108^{\circ}[/tex]

Step-by-step explanation:

Vertical angles are equal.

Answer:

108°

Step-by-step explanation:

if <1 and <2 are vertical angles, it means that m<1 = m<2

m<1= 108°

therefore, m<2= 108°

The total area of the given figure will be 66 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

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Answer:

-8 > -9

Step-by-step explanation:

Every other question says greaten then, on the other side or other way around.
The higher the number in negatives, the less it actually is.

-8>-9

Step-by-step explanation:

when its a negative number, the number closer to zero is the answer

Answer:

2n + 2

Step-by-step explanation:

If the directions for this problem say to "Simplify" then what you will do is to combine like terms. This is an expression because there is no equal sign. If it had an equal sign (and more information) it could be solved.

Since it only an expression we simplify:

-n + (-3) + 3n + 5

= -n + 3n + (-3) + 5

= 2n + 2

Answer:

I believe that it is, 2n + 2.

Step-by-step explanation:

You add all the common factors ( sorry if its a wrong vocab word ) -

( {-3} + 5 ) and ( 3n + { -n } )

-3 + 5 would also be 5 - 3 = 2

3n + -n would be 3n - n = 2n so it would be,

2n + 2 or 2 + 2n.

Answer:

30

Step-by-step explanation:

the value of x, bring the variable to the left side and bring all the remaining values to the right side

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

[tex]5^2 + 12^2 = 169[/tex]

[tex]\sqrt{169} = 13[/tex] units

Answer: 164 square inches

Step-by-step explanation:

[tex]2(10 \cdot 3+10 \cdot 4+3\cdot 4)=164[/tex]

Answer:

B

Step-by-step explanation:

if you simply 3(x+2)-x, you get 2x+6.

it is not 3x+6 because x already equals 1. 2x+6=2x+6

We have been given the two lengths as x and y So, the value of x would be equal to root 80.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

we have been given the two lengths as x and y.

From the figure, we know that

11: y = y: 5

Express in fraction

11/y = y / 5

y^2 = 5(11)

y ^2 = 55

So, y = √55

From Pythagoras theorem;

[tex]x^{2} =5^{2} +y^{2} \\\\x^{2} =5^{2} +55 \\\\x^{2} =25 + 55\\\\x^{2} =80\\\\x = \sqrt{80}[/tex]

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Answer:

  4568 ft³

Step-by-step explanation:

You want the volume of the figure made from two rectangular prisms.

The volume of the whole is the sum of the volumes of its parts. The volume of a rectangular prism is the product of its dimensions.

The horizontal prism is 7 ft high, 8 ft wide, and 45 ft long.

The vertical prism has a square base 8 ft on a side, and is 32 ft long.

The total volume is ...

  V = horizontal volume + vertical volume

  V = (7 ft)(8 ft)(45 ft) + (8 ft)²(32 ft) = 4568 ft³

The volume of the figure is 4568 ft³.

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The total volume of the figure is 4,568 ft³

We can view this as two different rectangular prisms, remember that the volume of a rectangular prism is equal to the product between its dimensions.

For the one that is laid down, the volume is:

V = 7 ft*8 ft*45 ft

V = 2,520 ft³

For the other prism, the volume will be:

V' = 8ft*8ft*32ft = 2,048 ft³

Adding the two volumes we will get:

volume = 2,520 ft³ +  2,048 ft³ = 4,568 ft³

That is the total volume of the figure in cubic feet.

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Answer:

y = 1

Step-by-step explanation:

Given:

Substitute point (1, 1) into the given equation of the parabola to find q:

[tex]\begin{aligned}\textsf{At}\:(1,1)\implies a(1-1)^2+q &=1\\a(0)^2+q &=1\\q &=1\end{aligned}[/tex]

Substitute the found value of q and point (-1, -9) into the given equation of the parabola to find a:

[tex]\begin{aligned}\textsf{At}\:(-1,-9)\implies a(-1-1)^2+1 &=-9\\a(-2)^2+1 &=-9\\4a+1 &=-9\\4a &=-10\\a &=-\dfrac{5}{2}\end{aligned}[/tex]

Therefore, the equation of the parabola is:

[tex]y=-\dfrac{5}{2}(x-1)^2+1[/tex]

The maximum or minimum point on a parabola is the vertex.

Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex.

Therefore, the vertex of the parabola is (1, 1) and so the maximum value of y = 1

Vertex at (1,q)

There is a point already given from which parabola passes through its (1,1)

Hence

Equation:-

Now put (-1,-9)

a is negative hence parabola is opening downwards

So

vertex is maximum

Max value