don't need explanation just the answer​

The value of the function g(x) when x = -2 is 6

The definition of the function is given as

g(x)=x to the power of 2 minus x

Rewrite the above function properly

So, we have the following representation

g(x) = x² - x

To find the function g(-2), we set the value of x in the equation g(x) = x² - x to -2

This is represented by

Calculate g(x), when x = -2

Substitute -2 for x in the equation g(x) = x² - x

So, we have the following equation

g(-2) = (-2)² - (-2)

Evaluate the exponents

This gives

g(-2) = 4 - (-2)

Evaluate the sum

g(-2) = 6

Hence, the value of the function is 6

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Answer:

Length YZ is about 16.2 cm (to the first decimal place)

Step-by-step explanation:

In order to find the lenth YZ we need to know the the Pythagorean theorem which is a²+b²=c² (or leg² + leg² = hypothnose)

For this problem let a = line segment XY, let b = YZ and let your hypothnose (c) to be ZX

Answer:

[tex]p+p+2=20[/tex]

Step-by-step explanation:

This is what my math teacher told us, so I don't know try this.

Step-by-step explanation:

p + j = 20

j = 2p + 2 --> -2p + j = 2

[tex] \binom{1 \: 1}{ - 2 \: 1} \: \binom{20}{2} = \binom{p}{j} [/tex]

The coordinate geometry, the midsegment theorem shows that the midsegment of a triangle is 1/4 area of the triangle.

How to show that the midsegment of a triangle is 1/4 area?

The midsegment if a triangle is defined as a line that joins two midpoints of two opposite sides of a triangle.

The midsegment theory of a triangle states that in a triangle, the midsegments of 2 sides is parallel to, and half the length of the 3rd side.

The 3 midsegments of a triangle forms a small triangle within the larger triangle.

This therefore, forms 4 triangles.

Area of a triangle =base x height

Hence 4 triangles are formed,

The area of the larger triangle is [tex]\frac{bh}{4}[/tex] =1/4(bh)

Therefore;  Area =1/4 of area.

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Answer:

triangle CBA is congruent to triangle CDA

The triangles are not congruent

Answer:

x = 7

Step-by-step explanation:

Given equation,

→ 3x - 1 = 20

Now the value of x will be,

→ 3x - 1 = 20

→ 3x = 20 + 1

→ x = 21/3

→ [ x = 7 ]

Hence, the value of x is 7.

The equation to find the original cost of hat is

44.80 = (x + 35) - (x+35)× 10/3

In the given question we have,

Ms. emlyn buys a hat and gloves with coupon for 30% off her entire purchase.

discount on total purchase = 30%

cost of gloves before discount = $35

let the cost of hat be $x before discount . The bill paid by Ms emlyn after discount but without tax = $44.80

total cost ( hat+gloves) before discount= $(x+35)

Now, after sum up all information we get,

$(x+35) - 30%discount on $(x+35) = $44.80

=> x+35 - (x+35)100/30 = 44.80

=> x+35 - (x+35)10/3= 44.80

which is required equation for original cost of hat.

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Answer:

Triangular prism

Step-by-step explanation:

If you were to fold all the creases and glue it together you would get a tent shape which is a triangular prism

Answer:

Step-by-step explanation:

the answer is 86

hope it helps!

(-_-)

Answer:the quadratic function in f(x)= a(x-h)^2+k is f(x) = - (x - 2)² + 2.I think this is false";}

Step-by-step explanation:

The vertex of the curve will be at (-2, -4) and the axis of symmetry is at -2

From the graph, the roots of the equation are -4 and 0, therefore, (x + 4) is a factor and x is also a a factor.

The equation of the curve is the product of the factors of the curve which is y = x(x + 4)

y =  + 4x

The x coordinate of the vertex =

will be illustrated as:

-b/2a = axis of symmetry

a and b is the coefficient of x

so a = 1, b = 4

x coordinate of vertex = -4/2 = -2

Then, substitute x = -2 into y =   + 4x to find the y-coordinate of the vertex

y = (-2)² + 4(-2)

y = 4 -8

y = -4

vertex  = (-2, -4)

The axis of symmetry is -b/2a which is -2

Therefore, the vertex is at (-2, -4).

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Answer: n=895

Step-by-step explanation:

Answer:

n = 895

Step-by-step explanation:

Here we want to find n , 1st form the Equation then solve it for n

0.1 times n = 0.1n

0.1 times n equal 89.5

Then 0.1n = 89.5

Solve for n , b dividing both sides by 0.1

n = 89.5 / 0.1 = 895

The total number of times the dice will land on 1 or on 5 is 153.

What is probability?

All of the probabilities will add up to 1. This gives us the equation.

P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

P(1) + 0.17 + 0.08 + 0.16 + 0.14 + 0.1 = 1

P(1) + 0.65 = 1

P(1) = 1 - 0.66

P(1) = 0.35

We now need to find the probability of 1 or 5.

P( 1 or 5) = P(1) + P(5)

= 0.35 + 0.16

= 0.51

We now use the predicting outcomes formula

Expected = P( 1 or 5) * No. of times

= 0.51 * 300

= 153

Hence, the total number of times the dice will land on 1 or on 5 is 153.

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Answer:  love

Step-by-step explanation:  love

Using a proportional relationship, it is found that:

A. The slope of the line is of 4.

B. The slope is the same over both segments.

A proportional relationship is modeled as follows:

y = kx.

Hence a proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.

For the presented case, the two variables x and y are direct proportional, and thus the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k.

In this problem, the relationship has two points presented as follows:

(3, 12) and (4, 16).

Hence the slope, which is the constant of the relation, is given as follows:

k = 12/3 = 16/4 = 4.

Given two points, the slope is given by the change in y divided by the change in x. Hence, over each segment, the slopes are given as follows:

Which are the same slopes.

The problem is given by the image at the end of the answer.

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Answer:

Step-by-step explanation:

187

Arturo can select the days on which to have pizza in 70 ways using combination rule if he chooses any four of the next eight days.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

In combinations, one can select the items in any order.

Number of combination of a objects chosen from n objects

                                  ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]

According to the given question:

To select 4 days out of the next 8 days, use combination rule

ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]

⁸C₄ = [tex]\frac{8!}{4! (8-4)!}[/tex]

⁸C₄ = (8x7x6x5x4x3x2x1)/(4x3x2x1)(4x3x2x1)

⁸C₄ = (8x7x6x5)/(4x3x2x1)

⁸C₄ = 70

Therefore there are 70 ways Arturo can select the 4 days out of 8 to have pizza for dinner.

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Answer: Y=mx+b

Step-by-step explanation:

If you use the formula you can figure it out.

Answer:

the slope is 10

The slope represents the cost of gym membership per month.

The solution of the equation given as -13x + x = 8x - 20x is infinite many solutions

From the question, the equation is given as

-13x + x = 8x - 20x

To start with, we need to rewrite the expression

So, we have the following representation

x - 13x = 8x - 20x

Solving further, we need to evaluate the like terms

So, we have the following equation

-12x = 8x - 20x

Evaluate the like terms again

So, the equation becomes

-12x = -12x

Both sides of the above equation are the same

i.e. -12x is on both sides of the equation

When we have a solution that all sides of the equation have the same value, then the solution is that the equation has infinite many solutions

Hence, -13x + x = 8x - 20x has infinite solutions

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1.because sample is random and (130)

(0.923) and (130)(0.077) are both at least 10.

This means the normal model is a good fit for the sampling distribution.

Consider the provided information.

130 randomly selected flights and find that

120 of the flights arrived on time.

n=130

The on-time arrival performance was 91.9%

p=0.923 and q=1-0.923=0.077

np = 130 x 0.923

np = 120 ≥ 10

nq = 130 × 0.077

nq = 10 = 10

Hence, Yes, because sample is random and

(130)(0.923) and (130)(0.077) are both at least 10. This means the normal model is a good fit for the sampling distribution.

2.because sample is random and (130)

(0.919) and (130)(0.081) are both at least 10.

This means the normal model is a good fit for the sampling distribution.

Consider the provided information.

130 randomly selected flights and find that

120 of the flights arrived on time.

n=130

The on-time arrival performance was 91.9%

p=0.919 and q=1-0.919=0.081

np = 130 x 0.919

np = 119.5 ≥ 10

nq = 130 × 0.081

nq = 10.5 ≥ 10

Hence, Yes, because sample is random and

(130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is a good fit for the sampling distribution.

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The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

To get the coordinates of a point reflected on the x - axis, some important rules be considered here:

1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.

2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.

Example:

(1,9) when reflected on the x - axis it will be (1,-9).

Therefore the  coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

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The graph of the given functions is (see in attachments).

From the question, we have

g(x) = 0.44√3.2x−4.1

Graph:

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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A. Applying the trigonometric ratio, the length of pole = 29.6 ft.

B. 23.1 ft.

C. Length of wire 1 = 45.1 feet.

The trigonometric ratios are:

Part A: Apply the trigonometric ratio, tan ∅ = opp/adj, to find the length of the pole

∅ = 41°

Opp. = length of pole

Adj. = 34 ft

Substitute

tan 41 = length of pole/34

Length of pole = (tan 41)(34) = 29.6 ft.

Part B:

Let the distance between the base of the pole and wire 2 be represented as x. Therefore, apply tan ∅ = opp/adj.

∅ = 38

Opp. = x

Adj. = 29.6 ft

Therefore:

tan 38 = x/29.6

x = (tan 38)(29.6)

x = 23.1 ft.

Part C: Use the Pythagorean theorem to find the length of wire 1.

Length of wire 1 = √34² + 29.6²)

= 45.1 feet.

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Answer:

Step-by-step explanation:

2x + 3 = 4x - 5

4x - 5 = 2x + 3

Step 1 : Add 5 on both sides.

4x = 2x + 3 + 5

4x = 2x + 8

Step 2 : Subtract 2x on both sides.

4x - 2x = 8

2x = 8

Step 3 : Divide 2 on both sides.

x = 8/2

x = 4

Hence proved.

Answer:

Collect like terms

3+5=4x-2x

(note that when - crosses a line it turns to +

8=2x

8/2=2x/2

x=4

The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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Answer:

Step-by-step explanation:

a) 100cm 1m so, 320/100=3.2m, 1200/100=12m

b) 3.2+3.2+12+12= 6.4+24=30.4

c) 3*12=36m squared

d) 3.2*12= 3*12+0.2*12=36+2.4=38.4m squared

e) My estimate in d) was reasonable

f) This is because 36 and 38.4 are really close to each other they only have a difference of 2.4 and that is because instead of multiplying the estimate with 3 and a 0.2 I just multiplied it with a 3. 0.2*12=2.4 so the difference is reasonable.

Answer:

Step-by-step explanation:

Given:

Binomial: x² + 10x

To Find:

Solution:

To find the constant we would compare the binomial with (a + b)² i.e. a² + 2ab + b² as it is the formula for perfect square.

By comparing we get:

a² = x²

2ab = 10x

b² = constant (To find out)

From this we can make out:

a = x

[tex] \therefore[/tex]

[tex] \rm \implies 2 \times x \times b = 10x \\ \\ \rm \implies b = \frac{10x}{2x} \\ \\ \rm \implies b = 5 \\ \\ \therefore \\ \\ \rm \implies {b}^{2} = 25[/tex]

So, constant that should be added to the binomial so that it becomes a perfect square trinomial is [tex] \boxed{\rm 25} [/tex].

Perfect square trinomial is x² + 10x + 25

Factorisation of the trinomial:

[tex] \rm \implies {x}^{2} + 10x + 25 \\ \\ \rm \implies {x}^{2} + 10x + {5}^{2} \\ \\ \rm \implies {x}^{2} + 5x + 5x + {5}^{2} \\ \\ \rm \implies x(x + 5) + 5(x + 5) \\ \\ \rm \implies (x + 5)(x + 5) \\ \\ \rm \implies {(x + 5)}^{2} [/tex]

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

How to calculate the volume of a pyramid?

The volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height.

b is the base area.

Here, both pyramids have the same base area as the prism, their volume is given by:

Volume of a pyramid = (1/3 × b × h) + (1/3 × b × h)

Volume of a pyramid = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

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