3) 7(-6n - 8) +5 >-135

Answer:

Step-by-step explanation:

Line s

slope m = Δy / Δx =  (22 - 4) / (4 - (-5)) = 18/9 = 2

y = mx + b

22 = 2(4) + b

b = 14

y = 2x + 14

which can be rearranged to

2x - y = -14

Line t

slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2

-4 = (-2)(5) + b

b = 6

y = -2x + 6

2x + y = 6

2x − y = −14             2x + y = 6

Answer:

      Equation to find x: \(60+2x+x=180\)

      x= 40°

Step-by-step explanation:

We should know that if we add all the angles of a triangle it will give us 180 so the formula you could use is \(m<1+m<2+m<3=180\) so now we plug in what we know.

\(60+2x+x=180\)

Once we got our equation we can solve for x.

\(60+2x+x=180\\60+3x=180\\3x=120\\x=40\)

Answer:

$886.47

Step-by-step explanation:

Answer:

f(x) = 8.917x³ + 2x² + 0.083x - 7

Step-by-step explanation:

f(x)= y

Let the coefficients of x³, x², x be a, b, c and the constant be d

y= ax³ + bx² + cx + d

When y = -65, x = -2

-65= a(-2)³ + b(-2)² + c(-2) + d

-65= -8a + 4b - 2c + d ...eq. 1

When y = -14, x = -1

-14= a(-1)³ + b(-1)² + c(-1) + d

-14= -a + b - c + d ...eq. 2

When y = -7, x = 0

-7= a(0)³ + b(0)² + c(0) + d

-7 = d ...eq.3

When y = 4, x = 1

4= a(1)³ + b(1)² + c(1) + d

4= a + b + c + d ...eq. 4

when y = 78, x = 2

78 = a(2)³ + b(2)² + c(2) + d

78= 8a + 4b + 2c + d ...eq. 5

From eq. 3, d is - 7

putting d as - 7 in equations 1, 2, 4 and 5

In eq. 1,

-65= -8a + 4b - 2c - 7

-58= -8a + 4b - 2c ...eq. 6

In eq. 2

-14= -a + b - c - 7

-7= -a + b - c ...eq. 7

In eq. 4,

4= a + b + c - 7

11= a + b + c ...eq. 8

In eq. 5

78= 8a + 4b + 2c - 7

85= 8a + 4b + 2c ...eq.9

Subtracting eq. 9 from eq. 6

-143 = -16a - 4c... eq 10

subtracting eq. 8 from eq 7

-18= -2a - 2c

9= a + c

a = 9 - c ...eq 11

putting a as 9 - c in eq. 10

-143 = -16(9 - c) - 4c

-143 = -144 + 16c - 4c

1= 12c

c = 1/12 or 0.083

putting c as 1/12 in eq. 11

a = 9 - 1/12

a = 107/12 or 8.917

Putting a as 107/12 and c as 1/12 in eq. 8

11= 107/12 + b + 1/12

multiplying through by 13

132 = 107 + 12b + 1

132 - 108 = 12b

24= 12b

b = 24/12

= 2

Therefore, a= 8.917, b= 2, c= 0.083 and d = -7

f(x) = 8.917x³ + 2x² + 0.083x - 7

Answer:

9.1%

Step-by-step explanation:

The price of a coffee has dropped to $2.50

Yesterday the price was $2.75

Therefore the percentage decrease can be calculated as follows

= 2.50 - 2.75/2.75 × 100

= -0.25/2.75 ×100

= 0.09090 × 100

= 9.1%

Hence the percentage decrease is 9.1%

Answer:

1/10

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer:

8,6

Step-by-step explanation:

if its the sum, you just add them together.

There are 720 ways that the 3 homes could be chosen if the order of visiting is considered. There are 120 ways that the 3 homes could be chosen if the order of visiting is not important.

A permutation is the arrangement or ordering of a finite set of an element.

From the information given:

If there are  10 homes in the desired price range listed in the area:

Then:

So, the number of ways of choosing 3 out of 10 (without replacement) and arranging is:

\(\mathbf{^nP_r= \dfrac{n!}{(n-r)!}}\)

\(\mathbf{^nP_r= \dfrac{10!}{(10-3)!}}\)

\(\mathbf{^nP_r= \dfrac{10\times 9\times 8 \times 7!}{(7)!}}\)

= 720 ways

Now, the number of ways of choosing 3 out of 10 if the order of visiting is not important is the combination of the elements and it can be computed as:

\(\mathbf{^nC_r= \dfrac{n!}{(n-r)!r!}}\)

\(\mathbf{^{10}C_3= \dfrac{10!}{(10-3)!3!}}\)

\(\mathbf{\implies \dfrac{10\times 8\times 9 \times 7!}{(7)! \times 3\times 2}}\)

\(\mathbf{\implies \dfrac{10\times 8\times 9}{6}}\)

= 120 ways

Learn more about permutation and combination here:
https://brainly.com/question/11732255

#SPJ1

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

The calculated  of the integral expression \(\int\limits^3_1 {xf''(x)dx\) is 4

From the question, we have the following parameters that can be used in our computation:

Also, we have

\(\int\limits^3_1 {xf''(x)dx\)

This means that we integrate the above expression twice

The first integration gives

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \int^3_1 f'(x)dx\)

Next, we have

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \left[f(x)\right]^3_1\)

When the equation is expanded, we have

\(\int\limits^3_1 {xf''(x)dx} = 3f'(3) - f(3) - (f'(1) - f(1))\)

Recall that f(1) = 8 and f(3) = −4 ;  '(1) = 5, and f '(3) = 1

When these values are substituted in the above equation, we have the following:

\(\int\limits^3_1 {xf''(x)dx} = 3(1) - (-4) - (5 - 8)\)

Evaluate the expressions in bracket

\(\int\limits^3_1 {xf''(x)dx} = 3 + 4 - 3\)

So, we have

\(\int\limits^3_1 {xf''(x)dx} = 4\)

Hence, the value of the derivative is 4

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

Answer:

10

Step-by-step explanation:

\(\displaystyle \int^3_1xf''(x)\;\text{d}x\)

To evaluate the given definite integral, use integration by parts.

\(\boxed{\begin{minipage}{4.6 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}\)

Begin by working out which part should be u and which part should be dv/dx. As it is easier to differentiate x, and integrate f''(x), then:

\(\textsf{Let}\;u=x\)

\(\textsf{Let}\;\dfrac{\text{d}v}{\text{d}x}=f''(x)\)

Differentiate u with respect to x:

\(\dfrac{\text{d}u}{\text{d}x}=1\)

Integrate dv/dx to find v:

\(\displaystyle v=\int_a^b f''(x)\; \text{d}x=\left[\vphantom{\dfrac12}f'(x)\right]^b_a\)

Substitute the values into the integration by parts formula and evaluate the definite integral:

\(\begin{aligned}\displaystyle \int^3_1 x f''(x)\:\text{d}x &=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\int^3_1 f'(x)\:\text{d}x\\\\&=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\left[\vphantom{\dfrac12}f(x)\right]^3_1\\\\&=\left(3\cdot f'(3)-1\cdot f'(1)\right)-\left(f(3)-f(1)\right)\\\\&=3f'(3)-f'(1)-f(3)+f(1)\end{aligned}\)

Substitute the given values of f(1) = 8, f(3) = -4, f'(1) = 5 and f'(3) = 1:

                      \(\begin{aligned}&=3f'(3)-f'(1)-f(3)+f(1)\\\\&=3\cdot 1-5-(-4)+8\\\\&=3-5+4+8\\\\&=10\end{aligned}\)

Therefore, the evaluation of the given integral is 10.

A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

To know more about functions:

https://brainly.com/question/5975436

#SPJ4

Answer:

Step-by-step explanation:

A = \(\frac{d(2g+f)}{2}\)

Answer: 28.26

Step-by-step explanation:

The inverse of the divisor which can be used to complete the given equation would be 7/1.

The inverse of a divisor is defined as the changing of the numerator with the denominator when division is being carried out in fraction after which it can be multiplied to arrive at an answer.

The given fractions for division are as follows!

= 1/5 ÷ 1/7

= 1/5 × 7/1

= 7/5

Learn more about fraction here:

https://brainly.com/question/17220365

#SPJ1

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
For such more question on equations

https://brainly.com/question/22688504

#SPJ11

Therefore , the solution of the given problem of angles comes out to be KL has a measurement of 19.49.

The largest and smallest walls of a skew are found at the intersection of the pathways connecting its ends. Two pathways could meet at a crossroads. Another result of two entities interacting is an angle. More than anything else, they resemble dihedral shapes. Two line beams can be arranged in a variety of ways between their endpoints to produce a two-dimensional curve.

Here,

It looks to be a right-angled triangle with the sides identified as KL, KM, and LM based on the photograph provided. The measurements are as follows:

=> KL = 8.58

=> KM = 9.36

=> LM = 10.13

=> KM + LM = KL

Since KM and LM are the two sides that make up KL, we may sum them to find the measurement of KL.

=> KM + LM = 9.36 + 10.13 = 19.49

KL thus has a measurement of 19.49.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

Answer:

1:3

Step-by-step explanation:

Yo have to find the difference between the primary dimensions and the scaled dimensions. And because the scaled dimensions are smaller than the original ones. You can say that the scale factor is 1:3

\(12 \div 4 = 3\)

Answer:

Where is the table?

Step-by-step explanation:

Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

Answer:

2 real solution

Step-by-step explanation:

3xghrur

a). The table of the possible sums is

   1 2 3 4 5 6

1  2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

b). The probability of P(Sum > 6) is 5/12.

c). The probability of P(First die is even and second die = 5) is 1/2.

d). The probability of P(First die is even OR second die = 5) is 2/3.

e). The probability of P(one of the die shows 2 | Sum= 6) is 1/4.

Probability is defined as the ratio of favorable events to all possible outcomes of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed. The following formula can be used to determine the likelihood of an event.

Probability (Event) = Positive Outcomes/Total Outcomes = x/n

a). The table of the possible sums,

   1 2 3 4 5 6

1  2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

In the above box sum of two dies is recorded.

So, sample space = n(s)

= 4×6

= 24

b). Given, P (Sum > 6) = Favorable case sum is greater than 6 / sample space.

Favorable case (Sum > 6) = {(1, 6), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6)}

Favorable case = 10

P(Sum > 6) = 10/24

= 5/12

Thus, P(Sum > 6) = 5/12

c). P( First die is even and second die = 5) = Favorable case First die is even and second die = 5 / sample space.

Favorable case First die is even and second die = 5 ⇒ {(2, 5), (4, 5)} = 2

P(First die is even and second die = 5) = 2/24

=1/12

Thus, P(First die is even and second die = 5) = 1/12

d). P(First die is even OR second die = 5) = Favorable case First die is even OR second die = 5 / sample space

Favorable case First die is even OR second die = 5 ⇒ {(2, 1), (2, 2), (2, 3)(2, 4), (2, 5), (2, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (1, 5), (2, 5), (3, 5), (4, 5)} = 16

P(First die is even OR second die = 5) = 16/24

2/3

Thus, P(First die is even OR second die = 5) = 2/3

e). P(one of the die shows 2 | Sum= 6) = P(one of the die shows 2 | Sum= 6 / P( Sum= 6)

P(one of the die shows 2) = {(2, 4)} = 1

P(Sum= 6) = {(1, 5), (2, 4), (3, 3)(4, 2) = 4

P(one of the die shows 2 | Sum= 6) = (1/24)/ (4/24)

= 1/4

Thus, P(one of the die shows 2 | Sum= 6) = 1/4

To know more about probability, visit:

https://brainly.com/question/17018270

#SPJ1

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

\(\sum X^2\) = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)

Now, substitute these values into the formulas to find b1 and bo:

\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 \(\times\) 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

For similar question on regression equation.

https://brainly.com/question/25987747

#SPJ8

The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.

Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

Learn more about emergency:
https://brainly.com/question/20411681
#SPJ1

Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

To know more similar question visit:

https://brainly.com/question/11338475

#SPJ1

Answer:

\(15475.62\)

Step-by-step explanation:

\(19000 \times (1-\frac{5}{100}) ^4\)

\(19000 \times (\frac{19}{20}) ^4\)

\(\frac{2476099}{160}\)

\(=15475.61875\)

Answer:

About 25.1 cubic meters

Step-by-step explanation:

The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:

\(V=\dfrac{1}{3} \pi r^2 h=\\\\\dfrac{1}{3} \cdot \pi \cdot 2^2 \cdot 6\approx 25.1\)

Hope this helps!

Answer:

3\49857

Step-by-step explanation:

Answer:

y=4x+12

Step-by-step explanation: