question in the photo please help me im begging lol

f(x) = x^2 - 9
f(-x) = (-x)^2 - 9

y1 = 2√(x + 5) - 3
y2 = √(2(x - 5)) + 3

For the second question:
f(x) = x^2 - 9
f(-x) = (-x)^2 - 9
f(-x) = x^2 - 9

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Answer:

Perimeter=33

Step-by-step explanation:

2x+3=4x-3

0=2x-8

2x=8

x=4

Input 4 as Variable

2x+3=2(4)+3

=8+3

=11

P=3x11

P=33

The maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:

max = 6.9159, min = -6.9159

The first step in solving 5sin(x)−2cos(x)=3 is to rearrange the equation to isolate the sin(x) term. We can do this by adding 2cos(x) to both sides of the equation:

5sin(x) = 3 + 2cos(x)

Next, we can divide both sides of the equation by 5 to isolate the sin(x) term:

sin(x) = (3 + 2cos(x))/5

Now, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to substitute for cos(x) and solve for sin(x):

sin^2(x) = (3 + 2√(1 - sin^2(x)))/5

Multiplying both sides of the equation by 5 and rearranging gives us:

5sin^2(x) - 2√(1 - sin^2(x)) - 3 = 0

We can use the quadratic formula to solve for sin(x):

sin(x) = (-(-2) ± √((-2)^2 - 4(5)(-3)))/(2(5))

Simplifying gives us:

sin(x) = (2 ± √(28))/10

Using a calculator, we can find the first 2 positive solutions for x:

x = sin^-1((2 + √(28))/10) ≈ 0.72, 2.42

Therefore, the first 2 positive solutions for x are 0.72 and 2.42, accurate to at least 2 decimal places.

To find the maximum and minimum values of f(x)=5.7sin(x)−3.9cos(x), we can use the formula:

max = √(a^2 + b^2)

where a and b are the coefficients of the sin(x) and cos(x) terms, respectively. Substituting in the values for a and b gives us:

max = √((5.7)^2 + (-3.9)^2) ≈ 6.9159

The minimum value of the function is the negative of the maximum value:

min = -6.9159

Therefore, the maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:

max = 6.9159, min = -6.9159

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The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.

The expressions that contain exactly two terms are:

7 - 9x

8x2 + 5x

Therefore, The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

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For none of the option the linear equation x+4=c have solution.

The equation x + 4 - c = 0 can be rearranged to isolate the variable c on one side of the equation. This gives us:

c = x + 4

Now, we can see that the value of c depends on the value of x. In other words, there are infinitely many values of c that make the equation true, as long as they are equal to x + 4.

So the answer to the question is that there are infinitely many values of c that make the equation x + 4 - c = 0 true. None of the given options (A) c = -4, (B) c = 0, or (C) 0 are correct.

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The coordinates of the reflected polygon F'G'H'I' are as follows:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

In mathematics, reflection is defined as the mirror image of a figure crossing a line (drawn or imagined), known as the line of reflection.

The vertices of the polygon FGHI are as follows:

F(2, -1)

G(5, 2)

H(8, 3)

I(6, 0)

To reflect the polygon FGHI across the line y = -1, we need to flip the points over the line.

Now we can reflect each of the points of the polygon across the line y = -1 to get the image:

F(2, -1) stays in the same place because it lies on the line of reflection.

G(5, 2) is reflected to G'(5, -4) by flipping it vertically across the line y = -1.

H(8, 3) is reflected to H'(8, -5), and

I(6, 0) is reflected to I'(6, -2).

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Answer:

75%

Step-by-step explanation:

Starting value: 12

Final Value: 21

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent increase

If the percentage is negative, it means there was a decrease and not an increase.

If Emma needs to travel a distance of 15 miles or less, she should choose the red cab company because it has a lower cost. If she needs to travel more than 15 miles, she should choose the yellow cab company  

From the question, we are to determine which company Emma should use when she wants to minimize cost.

Let's assume that Emma needs to travel a distance of d miles to get to the airport.

The cost C of taking the red cab company can be represented by the function:

Cred(d) = 3.50 + 1.25d

Similarly, the cost C of taking the yellow cab company can be represented by the function:

Cyellow(d) = 5.00 + 1.15d

To determine which company Emma should use to minimize cost, we need to find the value of d that makes the cost of each company equal. In other words, we need to solve the equation:

Cred(d) = Cyellow(d)

Substituting the expressions for Cred(d) and Cyellow(d), we get:

3.50 + 1.25d = 5.00 + 1.15d

Simplifying and solving for d, we get:

0.10d = 1.50

d = 15

Hence, if Emma needs to travel a distance of 15 miles or less, she should choose the red cab company because it has a lower cost. If she needs to travel more than 15 miles, she should choose the yellow cab company.

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-3, -1, 3

X-intercepts are also known as the roots or zeros of a function.

Finding Intercepts From Graphs

In the problem, we are given a basic polynomial graph. The x-intercepts are where the graphs intersect with the x-axis. Remember that the x-axis is the horizontal axis. Finding x-intercepts when given a graph is as simple as just looking to see where the line crosses over. We can see that the graph crosses the axis in three points. The x-intercepts are x = -3, -1, and 3.

Finding Intercepts From Equations

In this question, we are not given an equation, but if we were there is another possible way to solve it. The x-intercepts occur when y = 0. So, to find x-intercepts from an equation, all you need to do is plug 0 in for y and solve.

At a 5% level of significance, the claims that a shipment of goods contains at most 2% defective items is accepted.

To investigate the claim that the shipment contains at most 2% defective items, we can use the 5% level of significance. The claim is that the population proportion of defective items is at most 2%, or p0 ≤ 0.02. The sample size is n = 200, and the sample proportion of defective items is pobs = 10/200 = 0.05.

The test statistic is then:

z = (pobs - p0) / √(p0(1-p0) / n)

= (0.05 - 0.02) / √(0.02(1-0.02)/200)

= 1.02.

With a 5% level of significance, we can look up the critical value for a one-tailed z-test and find that it is zα/2 = 1.645. Because 1.02 < 1.645, the test statistic is not greater than the critical value, and thus we fail to reject the null hypothesis that the population proportion of defective items is at most 2%.

In conclusion, with a 5% level of significance, the claim that the shipment contains at most 2% defective items is accepted.

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Using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.

A mathematical equatiοn is a fοrmula that uses the equals symbοl (=) tο cοnnect twο expressiοns and express their equality. The definitiοn οf an equatiοn in algebra is a mathematical statement that prοves twο mathematical expressiοns are equal. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equatiοns. Yοu can sοlve equatiοns tο determine an unknοwn variable's value, which cοrrespοnds tο an unknοwn quantity. It is nοt an equatiοn if there is nο "equal tο" sign in the statement. That shall be taken intο accοunt as an expressiοn.

Let,

the number οf drinks = x

the tοtal cοst οf the x drinks = y

Then we can write equatiοns using the given infοrmatiοn.

When the οrder cοntains 50 οr fewer spοrts drinks, the equatiοn is:

y = 0.8x + 10

When the οrder cοntains mοre than 50 spοrts drinks, the equatiοn is:

y = 0.7x + 15

Since we have tο find the number οf drinks fοr $75, we can write that:

y = 75

Substituting in the equatiοns,

75 = 0.8x +10

65 = 0.8x

x= 81.25 = 81

75 = 0.7x +15

60 = 0.7x

x = 85.7 = 86

Nοw, 86 > 81

Therefοre using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.

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Answer:

[tex]x=1.6[/tex]

Step-by-step explanation:

To solve, first cross-multiply:

[tex]\frac{x}{4} = \frac{2}{5}[/tex]

[tex]5x = (4)(2)[/tex]

Then, solve the equation:

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

[tex]\frac{8}{5} = 1.6[/tex]

[tex]x=1.6[/tex]

Therefore, x = 1.6.

I hope this helps!

If the diameter of a cone is 19 yd and the height is 13 yd, the volume of this cone is equal to 1,228 cubic yard.

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

Radius = diameter/2 = 19/2 = 9.5 cm.

Substituting the given parameters into the volume of a cone formula, we have the following;

V = 1/3 × πr²h

V = 1/3 × 3.14 × 9.5² × 13

Volume, V = 1,228 cubic yard.

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Answer:

Step-by-step explanation:

When writing the equation for a circle on a plane, we use the format:

[tex](x-x_{1})^2+(y-y_{1})^2=r^2[/tex]

x1 and y1 is the point of the center of the circle, which in this case is (1,-2)

r represents the radius, which is the distance from the center to the edge of the circle, which is (4,-2) - (1,-2) = 3

Our equation is now:

[tex](x-1)^2+(y+2)^2=9[/tex]

the reason why its y+2 is because (y-(-2) = (y+2)

r is squared, which is why it's 9 instead of 3. Hope this helps!

Answer:

  75 seconds

Step-by-step explanation:

You want to know how long it took Sean to drink his slushy, given a graph of amount remaining versus time.

Sean will have finished his slushy when the amount remaining is zero. That point on the graph occurs when the time is 75 seconds.

It takes 75 seconds for Sean to finish the slushy.

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The graph that represents the solution for the open sentence 3|p|−5<7 is:

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

: the collection of all points whose coordinates satisfy a given relation (such as a function)

: a collection of vertices and edges that join pairs of vertices

Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

In this graph, the open points at -4 and 4 indicate that the values of p that make the inequality true do not include -4.

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Answer:

  ∠A = 64°

Step-by-step explanation:

You have a triangle inscribed in a semicircle with acute angles marked A=(5x-1)° and C=(2x)°.

A triangle inscribed in a semicircle is a right triangle. (You know that because angle B is half the measure of 180° arc AC.) That means the two marked angles total 90°:

  (5x -1) +(2x) = 90

  7x = 91

  x = 13

Then angle A is ...

  A = (5·13 -1)° = (65 -1)° = 64°

The measure of angle A is 64°.

__

Check:

  C = (2x)° = (2·13)° = 26°

Then A+C = 64° +26° = 90°, as required.

Answer:

12 blocks will made from the 3 pound block

Step-by-step explanation:

Since the two hexagons are similar, their corresponding sides are in the same ratio as the scale factor.

Let x be the length of a side of the smaller hexagon, then the corresponding length of a side of the larger hexagon can be expressed as (3/7)x.

The area of a hexagon can be calculated using the formula: A = (3√3/2)s², where s is the length of a side.

Since the area of the smaller hexagon is 18 m², we can solve for x as follows:

18 = (3√3/2)x²

x² = 12/√3

x = 2√3

Now we can calculate the area of the larger hexagon:

Area of the larger hexagon = (3√3/2)(3/7x)² = (3√3/2)(3/7(2√3))² = 54/49 m²

Finally, we can calculate the volume of the larger hexagon, assuming it is a regular hexagonal prism:

Volume of the larger hexagon = Area of hexagon x Height

The height of the hexagonal prism is the same as the length of the side of the larger hexagon, which is (3/7)x:

Volume of the larger hexagon = (54/49) x (3/7)x = 54/343 x² ≈ 0.212 x²

Substituting the value of x, we get:

Volume of the larger hexagon ≈ 0.212 x (2√3)² = 1.272 m³

Therefore, the volume of the larger hexagon is approximately 1.272 m³.

Well, I'm not sure if it's correct but I got 42.

I got this by doing something along the lines of:

1) 18/x = 3/7

2) Cross multiply

3) 3x = 126

4) Divide both sides by 3

5) x = 42

answer:

4.6 kilograms of pears

question:

I don't know if you meant 2.5 or 25 but ill assume you meant 2.5

The system of equations shown models the total costs for taking 10 classes at each.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Toe Tappers charges a rate for each class plus a one-time registration fee.

Dance World, y = 15x

Toe Tappers, y = 25 + 12.5x

Where x = number of classes

Now Equate the total cost at both dance studios;

15x = 25 + 12.5x

Collect like terms;

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5;

2.5x / 2.5 = 25 / 2.5

x = 10 classes

Thus, x = number of classes = 10

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The function combinations and their respective domains are as follows:

(a) (f+g)(x) = f(x) + g(x) = x^2 - 11x + x + 9 = x^2 - 10x + 9
The domain of (f+g)(x) is all real numbers, since there are no restrictions on the values of x.

(b) (f-g)(x) = f(x) - g(x) = x^2 - 11x - (x + 9) = x^2 - 12x - 9
The domain of (f-g)(x) is also all real numbers, since there are no restrictions on the values of x.

(c) (fg)(x) = f(x) * g(x) = (x^2 - 11x)(x + 9) = x^3 - 2x^2 - 99x
The domain of (fg)(x) is all real numbers, since there are no restrictions on the values of x.

(d) (gf)(x) = g(x) * f(x) = (x + 9)(x^2 - 11x) = x^3 - 2x^2 - 99x
The domain of (gf)(x) is all real numbers, since there are no restrictions on the values of x.

In conclusion, the domain of all the function combinations is all real numbers, since there are no restrictions on the values of x.

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The response to the given question would be that The slope of the line is the constant of proportionality if the graph is a straight line through the origin.

Partnerships that have the same ratio across time are said to be proportional. For instance, how many trees there are in an orchard and how many apples there are in a harvest of apples are determined by the average number of apples per tree. Proportional in mathematics refers to a linear connection between two numbers or variables. As the first quantity doubles, so does the other. When one of the variables drops to 1/100th of its previous value, the other also decreases. When two quantities are proportional, it means that as one rises, the other rises as well, and the ratio between the two quantities stays the same at all levels. As an example, consider the diameter and circumference of a circle.  

It is difficult to estimate the constant of proportionality between two variables, y and x, without first viewing the graph.

Nevertheless, the constant of proportionality may be calculated by dividing any y-value by its corresponding x-value if the two variables are directly proportional, which means that when x rises, y rises as well at a consistent pace.

If y = kx, where k is the proportionality constant, then mathematically, k = y/x at every point on the graph.

The slope of the line is the constant of proportionality if the graph is a straight line through the origin.

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Answer:

a) -5x, 3x y 7x son monomios semejantes a -3x¹.

b) Verdadero, ya que ambos tienen coeficiente -12 y la misma parte literal ab.

c) Falso, ya que el primer monomio tiene exponente 2 en la variable x y exponente 1 en la variable y, mientras que el segundo monomio tiene exponente 1 en x y exponente 2 en y.

d) 3x²y³ y 2x²y³ son dos monomios semejantes de grado 5 y cuya parte literal consta de las variables x e y elevadas a exponentes 2 y 3 respectivamente.

Factorization of expression 16t³ + 10t is 2t (8t² + 5) .

Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15

Given expression

16t³ + 10t

It can be written as

2 × 8 (t . t . t ) + 2 × 5 (t)

Factoring out common factors

2t (8t² + 5)

Hence, 2t (8t² + 5) is factorization of expression 16t³ + 10t

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The expression will be 5 + 11x.

What is an expression?

An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

It is possible to compare expressions to phrases. In English, a phrase by itself may contain an action, but it does not constitute a whole sentence.

Explanation: 3 + 7

Let the number to be "x"

Step 1 : the number is multiplied by - 8

           So, -8 x

Step 2 : subtracted from the sum of 5 and 3 times the number

       So,  (5 +3x) - (-8x)

           = 5+3x + 8x

           = 5 + 11x

Hence, The final expression will be 5 + 11x.

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Answer:

$32

Step-by-step explanation:

Since the coats are discounted by 60%, we need to find 100-60=40% of the original price.

We need to find 40% of 80.

We can use proportional relationships.

100%=80

10%=8

40%=32

Answer:

0.95 and 95%

Step-by-step explanation:

19/20 as a decimal is 19÷20=0.95

as it's 0.95 as a decimal it's 95% as a percentage

Answer:

A) 0.95

B) 95%

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