Evaluate the function.
f(x) = 2x² – 3x – 1
Find f(8)

Answer:

Step-by-step explanation:

1.

1) =7+(-4)=3

2) =13-8=5

3) =11+5=16

4) =-5-9=-14

5) =-8-1=-9

6) =-1-(-7)=6

7) =-10+13=3

8) =15-7=8

9) =-2+6=4

10) =9-4=5

11) =-1-8=-9

2.

[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]

Step-by-step explanation:

Take Reference of Z-angle forward and backward and X-Angle if none are  in this category then write none.

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Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

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Answer:

1400x

Step-by-step explanation:

10^3 in scientific notation means to move the decimal 3 places to the right.

Answer:

50

Step-by-step explanation:

[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]

l...................................................

14, 4, 11, 7

1. 14, 42

   14 = 2 x 7

    42 = 2 x 3 x 7

GCF = 14

2.  16a , 20

     16a=  2 x 2x2x2xa

      20 = 2 x 2 x 5

GCF = 4

3) 22d,33e,99f

        22d = 2 x 11x d

        33e = 3 x 11 x e

         99f = 3 x3 x 11 xf

 GCF = 11

4)21b, 14ab, 49bc

    21b= 3 x 7 xb

    14ab = 2 x 7 x a x b

     49bc = 7 x7xb x c

GCF = 7

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Answer:

True

Step-by-step explanation:

dividing both sides by M you are left with L=P

Answer:

nothing there

Step-by-step explanation:

The number of adult plates sold are 30.

It is given in the question that:-

Total money raised by math club = $277.50

Cost of a child plate = $2.25

Cost of an adult plate = $4.75

There are twice as many child plates sold than adult plates.

Let the number of adult plates be x.

Hence, according to the question,

Number of child plates = 2x

Using this data, we can form a linear equation,

2.25*2x + 4.75*x = 277.50

4.50x + 4.75x = 277.50

9.25x = 277.50

x = 277.50/9.25

x = 30

Hence, the number of adult plates sold are 30.

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Answer:

D. Negative 1 over 12

Step-by-step explanation:

-1/3*1/4=-1/12

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Answer:

-1/12, so D.

Step-by-step explanation:

-1/3(1/4)

-1/12

Please give brainliest, lol.

Answer:64y^2 −80y+25

Step-by-step explanation:

The height of the boat floating above the seafloor at high tide is 17.5 feet.

In this question, we have been given a boat which is anchored in the water.

At low tide, the boat is floating 20 feet above the seafloor and is a horizontal distance of 40 feet away from its anchor.

And at high tide, the boat is a horizontal distance of 35 feet away from its anchor.

We need to find the distance the boat floating above the seafloor at high tide.

Consider the following diagram.

Let the boat floating m feet above the seafloor when the boat is a horizontal distance of 35 feet away from its anchor.

Since both the triangle are similar triangles, the corresponding sides must be in proportion.

⇒ 20/40 = m/35

We need to find the value of m.

⇒ 20 × 35 = m × 40

⇒ m = 35 / 2

⇒ m = 17.5 feet

Therefore, the height of the boat floating above the seafloor at high tide is 17.5 feet.

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Answer: input is h, output is k

Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution

Answer:

Step-by-step explanation:

The gross pay for this week after working overtime is $471.75.

What is the overtime pay rule?

The civil overtime vittles are contained in the Fair Labor norms Act,  Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.

Usual earning Earning = $8.5 for 30 hours for a week

Overtime = 47 hours-30 =17 hours

Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week

Gross pay= ($8.5*30)+($12.75*17)

      = 255 + 216.75

       = 471.75.

The gross pay for this week after working overtime is $471.75.

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Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

The complementary solution is Ус = C₁е¯ + C₂е¯ -6x

Consider the differential equation

=y" + 7y' + 6y = 30...(1)

Rewrite the equation,(D² + 7D + 6)y = 30 where

d /D = dx

Auxiliary equation is,

f(m) = 0

3 m³ +7m+6=0

m² + 6m+m+6=0

m(m+6) +1(m+6) = 0

(m +6)(m + 1) = 0

m = −1, −6 -6

Hence,

The complementary solution is Ус = C₁е¯ + C₂е¯ -6x

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1. x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2. 3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. (x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

1. (x+4)(x+7)=0

We have that;

Zero product property;

x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2.  (3x-7)(2x+5)=0

We have that;

Zero product property ;

3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x² -3x - 40=0

x² -8x + 5x - 40 = 0

factorize the common multipliers

x(x - 8) + 5(x - 8) = 0

Zero product property;

x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. 3x² - 11x - 42=0

3x² +7x - 18x - 42 = 0

Factorize further

x(3x + 7) - 6(3x + 7) = 0

Zero product property;

(x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 10x² + 9x + 2 = 0

10x² + 5x + 4x + 2 = 0

Factorize

5x( 2x + 1) + 2 (2x + 1) = 0

Zero product property;

5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

Thus, the zero product property states that the product of two non-zero elements is not zero

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Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.

Who, in brief, is an astronaut?

As the astronaut brought 550 lbs sample,

2.20lbs = 1 kg.

1 lbs = 1/2.20

1 lbs = 0.45

so, 500 lbs nearly implies 227kgs.

Thus, the correct option is D.

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Answer:

x=11

Step-by-step explanation:

4x + 17 = 5x + 6

Solve for x

Subtract 4x from each side

4x-4x + 17 = 5x-4x + 6

17 = x+6

Subtract 6 from each side

17-6 = x+6-6

11 =x

Answer:

[tex] \sf \: x = 11[/tex]

Step-by-step explanation:

[tex] \sf \: 4x + 17 = 5x + 6[/tex]

Subtract both sides by 4x to remove 4x.

[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]

Subtract both sides by 6 to remove 6 .

[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]

The value of y in expression is 14-2x/-9

The expression is written as

2x - 9y = 14

We are asked to calculate the value of y in the expression

2x - 9y = 14

-9y= 14-2x

Divide by the coefficient of y which is -9

y= 14-2x/-9

Hence the value of y is 14-2x/-9

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The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

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Answer:

The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].

Step-by-step explanation:

Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.

If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:

[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].

In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].

In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].

Los ciclistas se encuentran aproximadamente 140 segundos después de partir.

En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:

ω = 2π / T         (1)

Donde:

A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:

x / R = cos ωt   (2)

y / R = sin ωt    (3)

Donde:

Primero, determinar la rapidez angular de cada ciclista:

ω₁ = 2π / 105 s

ω₁ ≈ 0.060 rad / s

ω₂ = 2π / 60 s

ω₂ ≈ 0.105 rad / s

Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).

Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.

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DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.

∠TAC = ∠ABC  (The angle between the chord and the tangent is equal to the angle in the alternate segment)

Since, EDCB is a cyclic quadrilateral,

     ∠CBD + ∠CED = 180  ----- I

-      ∠CED + ∠AED = 180   -----II

----------------------------------------------------

   ∠ CBD =  ∠AED

Also, ∠ CBD = ∠ EAT( A is tangent to the circle)

So, ∠ EAT = ∠ AED ( Alternate interior angle)

So, DE || ST

Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.

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Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

The measure of angle c is 54 degrees

The given parameters are

a = 15x + 81

c = 10x + 24

Angles a and c are supplementary angles

So, we have

a + c = 180

This gives

15x + 81 + 10x + 24 = 180

Evaluate the like terms

25x = 75

Divide by 25

x =3

Substitute x =3 in c = 10x + 24

c = 10 * 3 + 24

Evaluate

c = 54

Hence, the measure of angle c is 54 degrees

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