What is the value of the expression below when x = 4?7x2 + 8x - 7

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

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Answer:

x = 4y + 6

Step-by-step explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6

Answer:

14.99 ounces

Step-by-step explanation:

First, find the weight of the 2 cereal bags combined:

16.03 + 18.98

= 35.01

Subtract this from 50 to find the weight of the box, since 50 ounces is the combined weight of the box and the 2 cereal bags

50 - 35.01

= 14.99

So, the box weights 14.99 ounces

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

The number of Jim's model car is 48

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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Answer:

The son overtakes the father 3 hours after the father started driving which is 2 hours after the son started driving.

Step-by-step explanation:

Father:

speed = 48 km/h

distance = d

time = t

Son:

speed = 72 km/h

distance = d

time = t - 1

speed = distance/time

distance = speed × time

Father:

d = st

d = 48t

Son:

d = st

d = 72(t - 1)

d = 48t

d = 72(t - 1)

48t = 72(t - 1)

48t = 72t - 72

72 = 24t

t = 3

The son overtakes the father 3 hours after the father started driving which is 2 hours after the son started driving.

Answer:

glasses 13 times 2 =26 China 13times4=52 dinnerware 13 times 6= 78 fine China 5100 times 4 pounds =20400 pounds times 13 a pound =265200.

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer: y=-4x+4

Step-by-step explanation: the "+4" represents the y intercept, so (0,4)

Answer:

Step-by-step explanation:

3) The following are the trial balance and other information related to Soft Tech, a

consulting engineer.

Soft Tech, Consulting Engineer

Trial Balance

December 31, 2022

Debit Credit

Cash Br. 59,000

Accounts Receivable 99,200

Allowance for Doubtful Accounts Br. 1,500

Supplies 3,920

Prepaid Insurance 2,200

Equipment 50,000

Accumulated Depreciation—Equipment 12,500

Notes Payable 14,400

Share, Capital 104,020

Dividend 34,000

Service Revenue 200,000

Rent Expense 19,500

Salaries and Wages Expense 61,000

Utilities Expense 2,160

Office Expense 1,440

Br. 332,420 Br. 332,420

Other data:

1. Fees received in advance from clients Br.12,000.

2. Services performed for clients that were not recorded by December 31,

Br.9,800.

3. Bad debt expense for the year is Br.2,860.

4. Insurance expired during the year Br.960.

5. Equipment is being depreciated at 10% per year.

6. Fine Tech gave the bank a 90-day, 10% note for Br.14,400 on December 1,

2022.

7. Rent of the building is Br.1,500 per month. The rent for 2022 has been

paid, as has that for January 2023.

8. Salaries and wages earned but unpaid December 31, 2022, Br.5,020.

Instructions

a. From the trial balance and other information given, prepare annual

adjusting entries as of December 31, 2022.

b. Prepare the worksheet

c. Prepare an income statement for 2022, a statement of owner’s equity,

and a classified statement of financial position.

d. Maintain the necessary closing entry.

The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

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Answer:

y = - 3

Step-by-step explanation:

the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.

maximum = - 1 and minimum = - 5

then

(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is

y = - 3

Answer: 0.2

happy learning

Answer:

78

Step-by-step explanation:

you have to multipy 13 and 12 then divide it by 2.(13*12=156/2=78)

The given function is:

The expression to represent the information will be 2(2m + 3n + 4p)

From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.

There are m number of games required.

There are n number of games that require 3 token.

Therefore, the expression to represent the information will be:

= 2(2 × m) + 2(3 × n) + 2(4 × p)

= 2(2m + 3n + 4p)

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Answer:

The other person who answered is incorrect!! The real answer is 2m + 3n + 4p

Step-by-step explanation:

have a good besti!!!!

-leeknowishawt

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Distributive property:

Multiplication of powers with the same base:

For the given expression:

Answer is the second option

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer:

0.982 mile

Step-by-step explanation:

1 mile = 5280 ft

h = (5183ft) *(1 mile/5280ft) = 0.982 miles

The height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

Measurement is simply the process of associating numbers with physical quantities and events.

Converting measurements in foot to miles as;

1foot = (1/5280)miles

Given that;

Since 1foot = (1/5280)miles

5183ft = ( 5183 / 5280 )miles

5183ft = 0.982miles

Therefore, the height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

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Answer: Bill weighs 230 pounds and he needs to carry boxes that weigh 75 pounds each. Use the equation 75b+230< =1805 to find the greatest number of boxes Bill can carry in the elevator in one trip.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

Slope is the vertical drop or rise to the horizontal distance;

   Slope  = \(\frac{vertical interval}{horizontal distance}\)  

 Let us convert 4 miles to feet;

         1 mile  = 5280ft

        4 miles  = 4 x 5280 = 21120ft

Slope  = \(\frac{1950 - 1000}{21120}\)   = 0.05

The slope is 0.05

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The ratio of the width to the length of the cell phone is 23/65.

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

To find the ratio of the width to the length of the cell phone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer:

y = 3/2x + -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x + -14

Answer:

8 mugs are there

Step-by-step explanation:

2+2+2+2=8

The missing length of the given triangle with measurements using triangle proportion are;

For first diagram; x = 48

Foe second diagram; x = 60

For third diagram; x = 100

For fourth diagram; x = 25

What is triangle proportion?

According to the Triangle proportion rule, When a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

In first diagram;

The side with x is a reflexive side of both triangles and as such from triangle proportionality theorem we can say that;

⇒ x/64 = 36/x

After cross multiply we get;

x² = 64 * 36

x = √2304

x = 48

Thus, we conclude that the missing length indicated is x = 48.

In second diagram;

Let y is the smaller side of the base out of which 64 has been taken.

Thus; y = 100 - 64

        y = 36

Let the perpendicular height of triangle is 'z';

z/36 = 64/z

z² = 64 * 36

z = √2304

z = 48

Now, For finding the value of x we can apply the Pythagoras theorem;

x² = 48² + 36²

x² = 2304 + 1296

x² = 3600

x = √3600

x = 60

So, The missing length indicated is x = 60.

In third diagram;

Let the perpendicular height of triangle is 'y'.

Then apply Pythagoras theorem as;

60² = 36² + y²

y² = 3600 - 1296

y = √2304

y = 48

Now, Apply the triangle proportionality theorem we get;

48/36 = (x - 36)/ 48

48 * 48 = 36 (x - 36)

64 = x - 36

x = 64 + 36

x = 100

Hence, The missing length indicated is x = 100.

In fourth diagram;

Let the perpendicular height of triangle is 'y';

Apply Pythagoras theorem as;

15² = 9² + y²

y² = 225 - 81

y = √144

y = 12

Now, Apply the triangle proportionality theorem we get;

12/9 = (x-9) /12

144 = 9 (x-9)

16 = x - 9

x = 25

So, The missing length indicated is x = 25.

Therefore, The missing length of the given triangle with measurements using triangle proportion are;

For first diagram; x = 48

Foe second diagram; x = 60

For third diagram; x = 100

For fourth diagram; x = 25

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