The table represents the function f(x).

A 2-column table with 7 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 66, negative 29, negative 10, negative 3, negative 1, 6.

When f(x) = –3, what is x?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,

m = (0-7)/(8-3) = -7/5

Substitute any one of the points in the equation,

y = -(7/5)x + c

7 = -(7/5)3 + c

7 = -21/5 + c

76/5 = c

Hence, the equation of the line is y=-(7/5)x + (56/5).

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[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]

Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The two lines are parallel, henceforth we can apply Angle pair rules.

[tex]\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180[/tex]

[ Co - interior angles ]

[tex]\qquad \tt \rightarrow \:5x + 2y = 180[/tex]

[tex]\qquad \tt \rightarrow \:2y = 180 - 5x[/tex]

[tex]\qquad \tt \rightarrow \:y = \dfrac{180 - 5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = \cfrac{180 }{2} - \cfrac{5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = 90 \degree - \cfrac{5x}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The reference atomic mass is carbon-12 when calculating atomic masses.

Step-by-step explanation:

The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.

Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.

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Answer:

D is the answer for you.

Considering the given histogram, the mean of the data-set is closest to:

B. 5.

An histogram is a graph that shows the number of times each element of x was observed.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Hence, considering the histogram, the mean is given by:

M = (1x1 + 2x2 + 3x3 + 4x1 + 5x1 + 6x2 + 7x3 + 8x1 + 9x1)/(1 + 2 + 3 + 1 + 1 + 2 + 3 + 1 + 1) = 4.87.

Which is closest to 5, hence option B is correct.

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The expression which is equal to the expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] is as [tex]x^{7} y^{6}[/tex].

Given Expression   [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] and we have to find the expression equal to this.

Two variables are present in the given expression x and y but both are in different form or powers.

x is having power 2 , 4 and 1 so because the base is same for all and they are in multiplied form so we will add the powers to form [tex]x^{4+2+1}\\[/tex]

=[tex]x^{7}[/tex]

Now y is having 1,3,2 powers so because the base is same for all and they are in multiplied form so we will add all the powers to form [tex]y^{6}[/tex]

Now multiply both to get the required expression which is [tex]x^{7} y^{6}[/tex].

Hence the expression which is equal to the given expression is [tex]x^{7} y^{6}[/tex].

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The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

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Answer:

Domain is all x-values and range is all y values. See all of the x values and y values that are touching the graph. Also, when there is a circle/ hole, use parenthesis for the interval notation.  Hope it helps!

Answer:

0 is the answer to the question

Answer:

3d²

Step-by-step explanation:

Hello!

To simplify, we combine the like terms by adding them.

Like terms are terms with the same variable and degree. A degree is a power to which the term is raised. Like terms can have numerical coefficients. For example, a coefficient of 4 to x² would mean 4 times x².

We can see that the variable d² is common throughout the three terms, meaning they are like terms. We can simply add and subtract them.

The simplified form is 3d².

Answer:

i think 345 if not sorry

Step-by-step explanation:

The value of x would be 30 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Let's consider an angle CAD be t.

In a triangle ABD

x + 90 + t = 180

t = 180 -x - 90

t = 90 - x ( by angle sum property)

Now, we know that the sum of the corresponding angle on a transversal is 180

So,

Angle A + angle D = 180

2x + t + x + x = 180

substitute the t value

2x + 90 - x + 2x = 180

3x + 90 = 180

3x = 90

x = 30 degree

Hence, the value of x would be 30 degrees.

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A function assigns the values. The half life of the substance is 6.25 days.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function for the substance as [tex]N= N_o e^{-kt}[/tex], therefore, the half life of the substance can be written as,

[tex]N= N_o e^{-kt}\\\\\dfrac{N}{N_o}= e^{-kt}[/tex]

Since we need to find the half life, therefore, the ratio of the initial mass and the mass after half-life will be 1/2.

[tex]\dfrac12= e^{-kt}\\\\\ln (0.5) = -kt[/tex]

Given the value of k is 0.1109, therefore,

[tex]\ln (0.5) = -kt\\\\\ln (0.5) = -(0.1109)t\\\\t = 6.25[/tex]

Hence, the half life of the substance is 6.25 days.

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Answer:

4 more wrenches than screwdrivers

Step-by-step explanation:

6+8=14

14-10=4

therefore there are 4 more wrenches than screwdrivers.

:)

Answer:

14

Step-by-step explanation:

solution

Screwdrivers- 10

wrenches- 6

if bella adds 8 more wrenches.

= 6 + 8

=14

Now, there are 14 wrenches in the box

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.

In the given triangle, it should be noted that ADC is the same as BCD due to SAS congruence.

From the information given,

AD = BC

BCD = ADC.

This depicts the concept of SAS. In this case, the two-sided will be equivalent.

Also, it should be noted that DAC and CBD are equal according to the vertical angle theorem.

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Answer:

see picture ....

Step-by-step explanation:

Answer:

x=3.5

Step-by-step explanation:

x × 2 = 7

   ÷2     ÷2

    x=3.5

Answer:

9

Step-by-step explanation:

10x + 8x = 162

18x = 162

x = 9

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

A parabola is a U shaped curve whose all point are at same distnace from a  point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

 (y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x =  0 - (-6)

x = 6

Therefore Option D is the correct answer.

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Answer:

1. the possible outcomes are any of the seven days of the week

2. 1/7 chance of choosing Wednesday

3. 2/7 chance of choosing Saturday or Sunday

[tex]\mathbb{PROBLEM:}[/tex]

[tex] \\ [/tex]

A day is chosen from a week.

1. What are the possible outcomes?

2. What is the chance of choosing Wednesday?

3. Find the probability of selecting weekends.

[tex] \\ [/tex]

=======================================

[tex]\mathbb{SOLUTION:}[/tex]

[tex] \\ [/tex]

1. What are the possible outcomes?

2. What is the chance of choosing Wednesday?

[tex]\tt\underline\red{ \: \: \frac{1}{7} \: \: }[/tex]

3. Find the probability of selecting weekends.

[tex]\tt\underline\red{ \: \: \frac{2}{7} \: \: } [/tex]

=======================================

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Step-by-step explanation:

s.i= P×T×R/100

=2000×0.25×2/100

= 1000/100

= 10

Answer:

$10

Step-by-step explanation:

[tex]2000 \times .02 \times \frac{1}{4} = 10[/tex]

Answer:

3 and -3

Step-by-step explanation:

Answer:

The first one is 5.83 or -5 5/6

The second one is -414 1/3

The last one is 290

The graph is plotted and attached in the attachment. The given equation is a linear equation with the intercept 0.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.

Given equation;

y + 2 = (x+2)

Rearrange the equation;

y + 2 = x+ 2

y=x

The standard equation for the straight line is;

y = mx + c

Where c is the intercept and m is the slope

After comparing the given equation with the standard equation we get;

m = 1

c =0

Hence,the graph is plotted and attached in the attachment.

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All the parts shown in the figure are solved.

A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.

Part 1

(a) When two dices are rolled the basic outcomes will be =?

Each dice has 6 outcomes and therefore 6* 6 =36

Therefore total 36 basic outcomes.

(b) Yes both the events are equally likely .

Part 2

(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled

Sum

2 1+1                                                  

3 1+2, 2+1                                          

4 1+3, 2+2, 3+1                                  

5 1+4, 2+3, 3+2, 4+1                            

6 1+5, 2+4, 3+3, 4+2, 5+1                    

7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1          

8 2+6, 3+5, 4+4, 5+3, 6+2          

9 3+6, 4+5, 5+4, 6+3                          

10 4+6, 5+5, 6+4                                  

11 5+6, 6+5                                          

12 6+6    

(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.

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Answer:

a = 11, b = 7

Step-by-step explanation:

See picture

Answer:

3

Step-by-step explanation:

Factors of 15 are 1, 3, 5, 15

Factors or 6 are 1, 2, 3, 6

HCF = 3

Answer:

x^2 + 7x + 12

Step-by-step explanation:

This is a product of two binomials.  There's a formula:  

(a + b)(c + d) = ac + ad + bc + bd.

Therefore, (x + 3)(x + 4)​ = x^2 + 3x + 4x + 12  =  x^2 + 7x + 12