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

How would you write f(x) = 5(x + 1)(x-1) from factored form to standard form

Answer:

25°

Step-by-step explanation:

Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:

∠DBC + ∠ABD = 180°

130 + ∠ABD  = 180°

∠ABD = 180° - 130°

∠ABD = 50°

∠ABD  is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).

The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW

Since E is the interior of ∠ABD, then:

∠ABD = ∠EBA + ∠DBE

But ∠EBA = ∠DBE

∠ABD = 2∠EBA

50 = 2∠EBA

∠EBA = 25°

Answer:

The third choice is the one that describes this dilation.

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

You write f (-2) = 3 as (-2, 3) and f (5) = 7 as (5, 7).

The answer for the graph is \(\mathbf{\frac{4}{3}}\textbf{\textit{x}}\mathbf{+\frac{1}{3}}\).

Answer:

I think c

Step-by-step explanation:

When y=1 x=12

Answer: The unit rate is 1/12

Step-by-step explanation:

D it’s the base.

Shdnxnxhxb

Answer:

3/6 which reduces to 1/3

Step-by-step explanation:

you have three chances of getting a braclet our of 6 total chances of prize

Answer:

y=2x-4

Step-by-step explanation:

To find an equation perpendicular to another one, you must find the negative inverse of the slope.

In this case, -1/2 has an inverse of -2, but because we're finding the negative inverse, the two negatives cancel out and we get 2, the slope of our perpendicular equation, which crosses the initial equation, making a right angle.

Answer:

algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.

Step-by-step explanation:

Answer:

expressions

Step-by-step explanation:

this is how a definition in a textbook would be written. they just put a blank in

Answer:

34

Step-by-step explanation:

a) The line integral of the given function f(x+2y) da + a²dy along the specified curve can be evaluated by breaking the curve into two segments. The integral over the first segment is 6, and the integral over the second segment is -5/3. The total line integral is 6 - 5/3, which simplifies to 13/3.

b) The line integral of the vector field F. dr can be evaluated by parameterizing the curve and calculating the dot product of F with the derivative of the parameterization. The integral evaluates to 7/2.

a) To evaluate the line integral of f(x+2y) da + a²dy along the given curve, we break the curve into two segments: (0,0) to (2,1) and (2,1) to (3,0). Along the first segment, we parameterize the curve as r(t) = (t, 2t), where t ranges from 0 to 2. Evaluating the integral over this segment gives us 2∫(t+4t)√(1+4) dt = 6. Along the second segment, we parameterize the curve as r(t) = (3+t, 1-t), where t ranges from 0 to 1. Evaluating the integral over this segment gives us ∫(3+t+2(1-t))√(1+4) dt = -5/3. Adding the two results, we get 6 - 5/3 = 13/3.

b) To evaluate the line integral of the vector field F. dr, we need to parameterize the curve. Let's parameterize the curve as r(t) = (t, t²), where t ranges from 0 to 2. The derivative of r(t) with respect to t is dr/dt = (1, 2t). Evaluating the line integral ∫F. dr over the curve gives us ∫(t, t²)⋅(1, 2t) dt = ∫(t+2t³) dt = [t²/2 + 1/2 * (2/4)t^4] evaluated from 0 to 2. Simplifying, we get (2²/2 + 1/2 * (2/4)2^4) - (0²/2 + 1/2 * (2/4)0^4) = 7/2. Therefore, the line integral of F. dr is 7/2.

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Answer:

Cada garrafa tiene una capacidad de 24 litros.

Step-by-step explanation:

Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.

Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:

(20%/100%)*V

Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:

(30%/100%)*V

El volumen total de agua es la suma de esos dos volúmenes, que nos da:

(20%/100%)*V + (30%/100%)*V

Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:

12 L = (20%/100%)*V + (30%/100%)*V

Ahora podemos resolver esto para V.

12L = 0.2*V + 0.3*V

12L = 0.5*V

12L/0.5 = V

24L = V

Cada garrafa tiene una capacidad de 24 litros.

To find the volume of the region bounded by the surfaces given, we can set up a double integral over the region in the yz-plane.

First, let's visualize the region in the yz-plane. The planes y = 0 and y = 20 bound the region vertically, while the surface z = 3 - 2y and the surface y = 1 - \(x^2\) bound the region horizontally. The region extends from y = 0 to y = 20 and from z = 3 - 2y to z = 1 - \(x^2\).

To set up the integral, we need to express the bounds of integration in terms of y. From the equations, we have:

y bounds: 0 ≤ y ≤ 20

z bounds: 3 - 2y ≤ z ≤ 1 - \(x^2\)

To find the expression for x in terms of y, we rearrange the equation y = 1 - \(x^2\):

\(x^2\) = 1 - y

x = ±√(1 - y)

Since we are working with a double integral, we need to consider both positive and negative values of x. Therefore, we split the integral into two parts:

V = ∫∫R (3 - 2y) dy dz

where R represents the region in the yz-plane.

Now, let's evaluate the double integral. We integrate first with respect to z and then with respect to y:

V = ∫[0 to 20] ∫[3 - 2y to 1 - \(x^2\)] (3 - 2y) dz dy

To evaluate this integral, we need to express z in terms of y. From the z bounds, we have:

3 - 2y ≤ z ≤ 1 - \(x^2\)

3 - 2y ≤ z ≤ 1 - (1 - y)

3 - 2y ≤ z ≤ y

Now we can rewrite the double integral as:

V = ∫[0 to 20] ∫[3 - 2y to y] (3 - 2y) dz dy

Integrating with respect to z:

V = ∫[0 to 20] [(3 - 2y)z] evaluated from (3 - 2y) to y dy

V = ∫[0 to 20] [(3 - 2y)y - (3 - 2y)(3 - 2y)] dy

Expanding the terms:

V = ∫[0 to 20] (3y - \(2y^2\) - 3y + \(4y^2\) - 6y + 9) dy

V = ∫[0 to 20] (\(2y^2\) - 6y + 9) dy

Integrating:

V = [2/3 * \(y^3\) - \(3y^2\) + 9y] evaluated from 0 to 20

V = (2/3 * \(20^3\) - 3 * \(20^2\) + 9 * 20) - (2/3 * \(0^3\) - 3 * \(0^2\) + 9 * 0)

V = (2/3 * 8000 - 3 * 400 + 180)

V = (16000/3 - 1200 + 180)

V = 1580 cubic units

Therefore, the volume of the region bounded by z = 3 - 2y, y = 1 - \(x^2\), y = 0, and y = 20 is 1580 cubic units.

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The mean difference of the means is a measure of central tendency that quantifies the difference between the means of two data sets. It is calculated by subtracting one mean from the other and taking the absolute value of the result.

Mean Difference of the Means = | Mean₁ - Mean₂ |Therefore, to calculate the mean difference of the means, you need to find the means of the two data sets and subtract the smaller mean from the larger mean. The result will be the mean difference between the means.

It is important to note that the mean difference of the means can be positive or negative depending on which mean is larger. So, to enter the nearest whole number, you would need to round the result to the nearest whole number.

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Answer:

The answer would be 480

Answer:

10%

Step-by-step explanation:

1 is ten percent of 10, and 11-10 = 1. Thus the percent increase in her running time is 10 %

Answer:

4:3 i think

Step-by-step explanation:

He changes the oil in his car 4 times each year. There are 12 months in one year. He changes the oil every 12 months. Divide 12 by 4. Zane changes the oil in his car every three months.

Answer:x÷(x+5)=4÷5

5x=(x+5)4

5x=4x+20

5x-4x=20

X=20

Step-by-step explanation:

Answer:

the answer is 6.9

the answer is.... 6.9

Step-by-step explanation:

to get 6.9 you have to divide 69 by 10

Sine rule

\(\tt \dfrac{US}{sin\:T}=\dfrac{ST}{sin\:U}\)

U = 180 - (69+90)=21°

Input the value:

\(\tt \dfrac{10}{sin\:90}=\dfrac{X}{sin\:21}\\\\X=35.8^o\)

Answer:

             \(\boxed{\bold{f(x)=(x-9)^2+2}}\)

Step-by-step explanation:

\(f(x)=a(x-h)^2+k\qquad\qquad h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\\\f(x)=x^2-18x+83\quad\implies\quad a=1\,,\ b=-18\\\\h=\dfrac{-(-18)}{2\cdot1}=\dfrac{18}{2}=9\\\\h=f(3)=9^2-18(9)+83=81-162+83=2\\\\\\ \underline{f(x)=(x-9)^2+2}\)

Answer:

The cook made 7 pints

Step-by-step explanation:

Just minus the half pints

Greetings from Brasil....

From Pythagoras we have

AB² = AC² + BC²

13² = 12² + X²

Answer:

5 cm

Step-by-step explanation:

Pythagoras theorem gives us:

\(hypotenuse^{2} = side^{2} + side^{2}\)

We know the hypotenuse is 13 cm.

We know one side is 12 cm.

\(13^{2} = 12^{2} + side^{2}\)

\(169= 144 + side^{2}\)

Subtracting 144 from both sides:

\(25 = side^{2}\)

Reversing the sides:

\(side^{2}=25\)

\(\sqrt{side^{2}}= \±\sqrt{25}\)

\(side = \±\sqrt{25}\)

\(side = \±5\)

Since a distance can't be negative:

\(side=5\)

The third side is 5 cm.

The measure of the angle ABC from the diagram is equivalent to 78 degrees.

We need to find <ABC

Let us produce BA to meet PR at point G.

It is given that BG || PQ

Thus, <RGB and <QPR are corresponding angles.

This shows that <RGB = <QPR since they are corresponding angles.

On the other hand, <QPR = 102 degrees and <ABC are <RGB consecutive interior angles, then:

<ABC + <RGB = 180

<ABC + 102 = 180

<ABC = 180 - 102

<ABC = 78 degrees

Hence the measure of the angle ABC from the diagram is 78 degrees.

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Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

About 20% of the time Aaron tunes in to his favored station, there will be a commercial playing.

Given info;

The assumption is that over a significant number of days, 20% of the time he tunes in to his favorite station, an ad will be playing. This is based on the idea of relative frequency.

The relative frequency of event A, which is calculated by dividing the number of desired outcomes by the total outcomes, will be off over a large number of experiments, according to the likelihood of an outcome A of a%.

When he dials into his preferred station, there is a 0.2 probability that a commercial will start playing.

The conclusion is that over a long number of days, an advertisement will be playing about 20% of the time he tunes in to his preferred station.

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The quotient of a quartic and a linear function is a quadratic function. This can be proved by dividing a quadratic function by a linear function.

When we divide a quartic function (a function of degree 4) by a linear function (a function of degree 1), the resulting quotient is a quadratic function (a function of degree 2).

The degree of a polynomial function is determined by the highest exponent in the function. In this case, a quartic function has the highest exponent of 4, while a linear function has the highest exponent of 1. Dividing a quartic function by a linear function involves canceling out the terms and reducing the power of the resulting terms.

As a result, the quotient simplifies to a quadratic function with a maximum degree of 2. Therefore, the correct answer is option a. quadratic.

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Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x  and y are two points  representing the  temperature and chirps /min respectively

And  

m= slope

Step 2 : Finding the slope , m

where x1=60

           y1=92

           x2= 75

           y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and  the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit