i need help with this pls

Answer:

I think the Correct answer is no A.

Simplifying the expression;

-4x² + 2x - 5(1 + x)

open the parenthesis

-4x² + 2x - 5 - 5x

Rearrange and then simplify

-4x² + 2x -5x -5

-4x² -3x -5

The simplified expression is;

-4 x²+ -3x -5

Answer:

Step-by-step explanation:

Equation of the line is,

y = -x + 2

By comparing this equation with,

y = mx + b

Here, m = slope of the line

b = y-intercept

Therefore, slope of the line given in the graph = (-1)

y-intercept = 2

Now we will find the table for the points lying on the line,

x       -6          -4           0           4            6

y        8           6           2          -2           -4

Now plot these points on the graph and join them to get the line.

Answer:

0.5

Step-by-step explanation:

substitute x for 4

simplify for

2/sqrt16

2/4

1/2

0.5

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer:

80

Step-by-step explanation:

Answer: 1 1/4

Step-by-step explanation:

Answer:

a. 7893600

\(b.\ \dfrac{1}{26}\)

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 \(\times\)25 \(\times\)24 \(\times\)23 \(\times\)22 = 7893600

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: \(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

\(P(E) = \dfrac{1}{26}\)

So, the answers are:

a. 7893600

\(b.\ \dfrac{1}{26}\)

EPS for recession is $3.7975, EPS for normal is $4.8686, EPS for expansion is $5.5015, and Percentage change in EPS for expansion is 13% and for recession is -22%, EPS under each of the three scenarios after recapitalization is 4360 and percentage change in EPS after the recapitalization is -31.17% and 18.42% for recession and expansion respectively.

A-1) Calculation of EPS under each scenario:

EBIT for expansion condition,

= EBIT × 113%

= $53,000 × 113%

= $59,890

EBIT for recession conditions,

= EBIT × 78%

= $53,000 × 78%

= $41,340

Tax = EBT × 21%

Net income = EBT - Taxes

EPS = Net income ÷ No. of shares

EPS for recession = $3.7975

EPS for normal = $4.8686

EPS for expansion = $5.5015

A-2) Calculation of Percentage change in EPS,

For Expansion = (Expansion EPS - Normal EPS) ÷ Normal EPS

= (5.05 - 4.86) ÷ 4.86

= 13%

For Recession = (Recession EPS - Recession EPS) ÷ Recession EPS

= (4.86 - 3.79) ÷ 4.86

= -22%

B-1) Calculation of EPS under each of the three scenarios after recapitalization,

Market to Book ratio (l) = Market value ÷ Book value

l = $395,600 ÷ Book Value

Book Value = $395,600

Stock Price = Book Value ÷ No. of outstanding shares

= $395600 ÷ 8,600

= 46

No. of shares repurchased = Debt ÷ Stock Price

= $195,000 ÷ 46

= 4240

No. of shares after repurchasing = No. of outstanding shares - No. of shares repurchased

= 8,600 - 4240

= 4360

B-2) Calculating percentage change in EPS after recapitalization,

For Recession = (Recession EPS - Recession EPS) ÷ Recession EPS

= (4.66 - 6.77) ÷ 6.77

= -31.17%

For Expansion = (Expansion EPS - Normal EPS) ÷ Normal EPS

= (8.02 - 6.77) ÷ 6.77

= 18.42%

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The value of the investment is increasing by 3.5% every year due to the exponential growth.

To find the percent increase each year, we need to calculate the growth rate of the investment, which is represented by the factor 1.035 in the exponential function.

The growth rate can be calculated using the formula:

growth rate = (new value - initial value) / initial value

In this case, the initial value is 33,000 and the new value is given by V(1) = 33,000(1.035) = 34,155.75, which represents the value of the investment after one year.

Therefore, the growth rate is:

growth rate = (34,155.75 - 33,000) / 33,000 ≈ 3.5%

So the percent increase each year for the investment is approximately 3.5%. This means that the value of the investment is increasing by 3.5% every year due to the exponential growth.

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

Total number of possible outcomes are 144.

We have to given that;

You have the following choices for dinner:

3 meats, 2 vegetables and 4 potatoes and 6 desserts

Hence, The possible outcomes are,

⇒ 3 (meats) x 2 (vegetables) x 4 (potatoes) x 6 (desserts)

⇒ 144 possible outcomes.

Thus, Total number of possible outcomes are 144.

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Answer: B: 20

Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!

Hope this Helps!

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

It is 3 15/28.

Step-by-step explanation:

To solve this problem, we first need to add the whole numbers: 2 + 1 = 3. Next, we need to add the fractions. To do this, we need to find a common denominator for the fractions 2/7 and 1/4. A common denominator for these two fractions is 28, so we can convert the fractions to equivalent fractions with a denominator of 28: 2/7 is equivalent to 8/28 and 1/4 is equivalent to 7/28. With the fractions written in this form, we can add them to get 8/28 + 7/28 = 15/28.

Finally, we need to add the whole number 3 and the fraction 15/28 to get our final answer. To do this, we need to convert the fraction 15/28 to a mixed number. We can do this by dividing 15 by 28 to get a quotient of 0 and a remainder of 15. This means that the mixed number equivalent of 15/28 is 0 + 15/28. Therefore, our final answer is 3 + 0 + 15/28 = 3 + 15/28 = 3 15/28. This is the simplest form of the mixed number, so our final answer is 3 15/28.

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

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

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

Answer: d: -6x3+22x2-8x-20

Step-by-step explanation:

A- is not factorable

B- is 4(2x-1)(2x+5)

C- is not factorable

D- is (-2x2+4x+4)(3x-5) So this is your answer

Answer:

138,488

Step-by-step explanation:

To find the population of the city in 19 years, we can use the formula for compound interest:

Population = Initial Population × (1 + Growth Rate)^Number of Years

Given that the initial population is 100,000 and the growth rate is 2% per year, we can plug in these values into the formula:

Population = 100,000 × (1 + 0.02)^19

Calculating this expression:

Population = 100,000 × (1.02)^19 ≈ 138,488.12

Rounding this to the nearest whole number, the population of the city in 19 years would be approximately 138,488.

Therefore, the population of the city in 19 years, rounding to the nearest whole number, is 138,488.

Answer:

speed=16,480 miles per hour or 16,480/hour.

Step-by-step explanation:

Distance=speed ×time

The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.

The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.    

The general form of the equation of a quadratic function given the vertex and a point on the graph, we can use the vertex form of the quadratic equation  y =  a( x- h) 2 k  where( h, k) represents the vertex of the parabola.  In this case, the vertex is(- 7, 6) and the point is(- 10, 5).  We can substitute these values into the equation to get  5 =  a(- 10-(- 7)) 2 6  Simplifying  farther  5 =  a(- 10 7) 2 6  5 =  a(- 3) 2 6  5 =  9a 6  Now, we can  break for' a'  a =  5- 6  9a = -1  a = -1/ 9  Substituting this value back into the equation, we get  y = (-1/9)( x-(- 7)) 2 6

 Simplifying  farther  y = (-1/9)( x 7) 2 6  Expanding and rearranging, we can write the equation in general form  y = (-1/9)( x2 14x 49) 6  y = (-1/9) x2-(14/9) x-49/9 6  y = (-1/9) x2-(14/9) x-43/9  So, the general form of the equation of the quadratic function is y = (-1/9) x2-(14/9) x-43/9.

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Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8

Answer:

x = -2/5

x = 1

Step-by-step explanation:

5x² - 3x - 2 = 0

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

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5

⇒ x - 1 = 0

⇒ x = 1

Answer:

\(5 {x}^{2} - 3x - 2 = 0 \\ 5 {x}^{2} - 5x + 2x - 2 = 0 \\ 5x(x - 1) + 2(x - 1) = 0 \\ (x - 1)(5x + 2) = 0 \\ x = 1 \: and \: \frac{( - 2)}{5} \)

a) The area of the rectangular shaped bathroom floor is A = 30.375 feet²

b) The number of boxes of tiles = 25 boxes

Given data ,

Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length is 6 3/4 feet

Now , Area of Rectangle = Length x Width

On simplifying , we get

Width = 4 2/4 feet = (4 x 4 + 2)/4 = 18/4 feet

Length = 6 3/4 feet = (6 x 4 + 3)/4 = 27/4 feet

Area = (18/4) x (27/4) = (18 x 27)/(4 x 4) = 30.375 feet²

Therefore , the area of bathroom floor is A = 30.375 feet²

Now , the number of boxes is given by

Number of boxes of tiles = Total area of bathroom floor / Area covered by each box of tiles

B = 30.375 / 5

B = 6.075

B = 6 tiles

Hence , the area of bathroom floor is A = 30.375 feet²

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y)   → (x + 2, y + 1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 2, y + 1)

(1, 4)                        →                  (1 + 2, 4 + 1) = (3, 5).

(3, 5)                        →                  (3 + 2, 5 + 1) = (5, 6).

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