need help thank thank you

Answer:

y=x^2-6x+13

Step-by-step explanation:

Answer:

C. [tex]x=99^{\circ}[/tex]

Step-by-step explanation:

We have been given a image. We are asked to find the value of x.

We can see that our given figure is a quadrilateral. We know that all interior angles of a quadrilateral add up-to 360 degrees.

[tex]x^{\circ}+y^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}[/tex]

We can see that y and 116 degrees angles are linear angles, so we can set an equation as:

[tex]y^{\circ}+116^{\circ}=180^{\circ}[/tex]

[tex]y^{\circ}+116^{\circ}-116^{\circ}=180^{\circ}-116^{\circ}[/tex]

[tex]y=64^{\circ}[/tex]

Substitute [tex]y=64^{\circ}[/tex] in the equation:

[tex]x^{\circ}+y^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}[/tex]

[tex]x^{\circ}+64^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}[/tex]

[tex]x^{\circ}+261^{\circ}=360^{\circ}[/tex]

[tex]x^{\circ}+261^{\circ}-261^{\circ}=360^{\circ}-261^{\circ}[/tex]

[tex]x^{\circ}=99^{\circ}[/tex]

[tex]x=99[/tex]

Therefore, the value of x is 99.

It should be noted that a triangle is a polygon with three edges and three vertices.

A triangle is a simple closed curve or a polygon that is formed by three line segments.

It should be noted that triangles have 180°.  In this case, looking at the attached figure, it can be deduced that the addition of the angles equals 180.

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The volume of a rectangular prism is the product of its dimension.

The missing side length is 2x + 5.

The volume is given as:

[tex]\mathbf{V = 2x^3 + 17x^2 + 46x + 40}[/tex]

Let the missing side be y.

So, we have:

[tex]\mathbf{V = (x + 2) \times ( x + 4) \times y}[/tex]

So, we have:

[tex]\mathbf{(x + 2) \times ( x + 4) \times y = 2x^3 + 17x^2 + 46x + 40}[/tex]

Factorize

[tex]\mathbf{(x + 2) \times ( x + 4) \times y = (x + 2) \times (x + 4) \times (2x +5)}[/tex]

Cancel out common factors

[tex]\mathbf{y = (2x +5)}[/tex]

Remove brackets

[tex]\mathbf{y = 2x +5}[/tex]

Hence, the missing side length is 2x + 5.

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Answer:

Adjacent angles whose exterior sides are opposite rays are "supplementary"

Step-by-step explanation: Theorem 3-2 states this fact

If y varies directly as x, the expression that can used to determine the value of y when x is 11 is y = 18/5 × 11 .

The equation that can be used to represent direct variation is:

y= kx

Where:

k = y/x

k = 18/5

y = 18/5 × 11

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Answer:

x=-5, x=1

Step-by-step explanation:

y=x-8/x^2+4x-5

[tex]y=\frac{x-8}{x^2+4x-5}[/tex]

When denominator becomes 0 in a rational function then there will be a break in the graph

To find any points of discontinuity for the rational function , we set the denominator =0 and solve for x

x^2 + 4x -5 =0

Now we factor x^2 +4x -5

product is -5  and sum = 4

5 * (-1) = -5

5 +(-1) = 4

(x+5)(x-1) =0

set each factor =0 and  solve for x

x+5=0 , so x= -5

x-1=0 , so x= 1

x=-5, x=1 are the points of discontinuity for the rational function

Answer:

x=-5 , X=1

Step-by-step explanation:

Answer:  The art club president need to buy 14 bottles of paint for the project.

Step-by-step explanation:  Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.

We are to find the number of bottles of paint that the art club president need to buy for the project.

We will be using the unitary method to solve the given problem.

Number of bottles filled by 8 ounces of paint = 1.

So, the number of bottles filled by 1 ounce of paint is

[tex]\dfrac{1}{8}.[/tex]

So, the number of bottles filled by 4 ounces of paint will be

[tex]\dfrac{1}{8}\times4=\dfrac{1}{2}.[/tex]

Now, number of bottles of paint needed by 1 student [tex]=\dfrac{1}{2}.[/tex]

Therefore, the number of bottles of paint needed by 14 students will be

[tex]\dfrac{1}{2}\times14=7.[/tex]

Thus, the art club president need to buy 14 bottles of paint for the project.

The correct answer is option c) 624.99

To find the sum of the first eight terms of the series: (-500) + (-100) + (-20) + (-4) + (-0.8) +..., we first need to recognize that this is a geometric series where each term is a constant multiple of the previous term.

The first term (a) is -500, and the common ratio (r) can be found as follows: [tex]r = \frac{-100}{\ 500} = \frac{1}{5} \ or\ 0.2.[/tex]

Geometric Series Sum Formula

The sum ([tex]S_n[/tex]) of the first n terms of a geometric series is given by the formula:

[tex]S_n = a * \frac{1-r^n}{1-r}[/tex]

Here, a = -500, r = 0.2, and n = 8.

The sum of the first eight terms of the series, rounded to two decimal places, is -624.99.

The complete question is:

What is the sum of the first eight terms of the series?

(−500)+(−100)+(−20)+(−4)+(−0.8)+...

Round the answer to two decimal places if necessary.

a) −996.09

b) −625

c) −624.99

d) −623

Answer:

[tex]y=28(x-42)+840[/tex]

Step-by-step explanation:

Let he works for x hours in total.

We are given that he makes 20$ an hour for the first 42 hours

So, he earns in 1 hour = 20

He earns in 42 hours = [tex]20 \times42[/tex]

                                   = [tex]840[/tex]

Now we are given that he earns $28 an hour for each hour worked over 42 hours.

Since he worked for 42 hours out of x hours .

So, remaining hours = x-42 hours

So,he earns for x-42 hours = [tex]28\times(x-42)[/tex]

y denotes his total earning of weekly

So, total earning [tex]y=28(x-42)+840[/tex]

Hence piecewise equation models his weekly pay y in dollars as it relates to the number of hours x that he has worked during the week is [tex]y=28(x-42)+840[/tex]                                

Answer: x= -4, 4

Step-by-step explanation:

Final answer:

To produce an irrational number by multiplying by 1/5, the other number must be irrational, such as √2.

Explanation:

The student is asking which number, when multiplied by 1/5, produces an irrational number. To produce an irrational number by multiplication, the other number must itself be irrational. Because rational numbers multiplied by rational numbers yield rational results. A classic example of an irrational number is √2, which, when multiplied by 1/5, gives 1/5√2 or √2/5, both of which are irrational.

The area of triangle RST is also 20 20 square inches

Triangles having equal side lengths and equal corresponding angles measures are called congruent triangles.

Given that, triangle RST is congruent to triangle WXY, the area of triangle WXY is 20 square inches,

We are asked to find the area of triangle RST,

Since, triangles RST and WXY are congruent, therefore, they will have congruent sides and angles,

That means, they will have equal area also,

ar (Δ RST) = ar (Δ WXY)

Therefore,

ar (Δ RST) = 20 square inches

Hence, the area of triangle RST is also 20 20 square inches

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Final answer:

To find the critical numbers, differentiate the function using the product rule, set the derivative equal to zero, and solve for x. Critical numbers are where the derivative is zero or undefined, provided they are within the domain of the function.

Explanation:

To find the critical numbers of the function f(x) = x4/5(x − 6)2, you need to locate the values of x where the first derivative of the function is either zero or undefined. The first derivative can be calculated using the product rule and the power rule.

First, let's find the derivative:

f'(x) = d/dx [x4/5] * (x - 6)2 + x4/5 * d/dx [(x - 6)2]

After simplifying, you will get a derivative function where you can then set it equal to zero to find the critical points. The points where the derivative is zero are potential local maxima, minima, or points of inflection. Additionally, points where the derivative is undefined can also be critical points, if they are within the domain of the function.

Once you calculate and simplify the derivative, set it equal to zero and solve for x. You might find that you get explicit values of x, which are the critical numbers of the function. If the function's derivative does not exist at some point, that will also be a critical number.

Remember, critical numbers are only relevant if they are within the domain of the original function.

Answer:

[tex]h(3)=122ft[/tex]

Step-by-step explanation:

The problem gives you everything, basically you only have to replace the given value, which is t=3 into the equation:

[tex]h(t)=-16t^2+79t+29[/tex]

But, let's do a deeper analysis. This a projectile motion problem. For this kind of problems there are some fundamental equation. For example, we need to find the vertical displacement of the rocket. So the equation for the vertical displacement in projectile motion is given by:

[tex]h_f-h_o=v_ot-\frac{1}{2}gt^2[/tex]  (1)

Where:

[tex]h_f=Final\hspace{3}height\\h_o=Initial\hspace{3}height\\t=Time\\v_o=Initial\hspace{3}velocity\\g=Gravitational\hspace{3}acceleration[/tex]

Isolating  [tex]h_f[/tex] and rearranging the equation (1) we get:

[tex]h_f=-\frac{1}{2}gt^2+v_ot+h_o[/tex]

Looks familiar? It has exactly the same form of the equation given by the problem. As you can see, if you replace the values of the speed and the initial position given by the problem, we got the same equation. Besides gravitational acceleration is a constant and its value is approximately 32ft/s^2, dividing it by 2, we get 16. Having this in mind, let's resolve the problem:

[tex]h(3)=-16(3)^2+79(3)+29=-144+237+29=266-144=122ft[/tex]

we are given

m∠BCD =67

and  m∠BDC=60

we know that

m∠ABC is exterior angle

m∠BCD  and  m∠BDC are interior angles

exterior angle is sum of interior angles

so, we can write it as

m∠ABC=m∠BCD+m∠BDC

now, we can plug values

and we get

m∠ABC=60+67

m∠ABC=127

so, option-4.........Answer

Answer:

8x+2

fx= 8x+2

Step-by-step explanation:

Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’.

The first transformation is a reflection over the y-axis.

The coordinate of C’ would be (-6,3) in this case.

If the image is rotated counter clock wise around the point A then it will result in the final image which is presented in the attached figure.

Hope this helps ..!!

Thank you :)

Answer:

B

Step-by-step explanation:

The only thing that you can factor out of B is 6, while the others are not in simplest form. Answer C can still factor out 2 and answer choice D can still factor out a. Answer choice can still be factored further using difference of squares.