Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

Answer:

she worked 12 hours as a carpenter and 18 hours as a blacksmith

Step-by-step explanation:

Let x = the number of hours for which she worked as a carpenter

Let y = be the number of hours for which she worked as a blacksmith

Total numbers of hours she worked = 30

x + y = 30 (1)

she earned a total $690. She earned $20 dollar per hour as a carpenter and $25 per hour as a blacksmith.

20 x + 25 y = 690 (2)

Equation (2) - 20 × Equation (1),

We get,

5 y = 90 ⇒ y = 18

After substituting this value in equation (1),

We get, x = 12,

Hence, She worked as a carpenter = x hours = 12 hours

And, as a blacksmith = y hours = 18 hours

Answer:

12

Step-by-step explanation:

Volume of a sphere = 4/3 pi r^3      r = 3 for this one

volume = 4/3 pi (3^2) =  36/3 pi =  12 pi   units^3

Answer:

None of them are correct.

Step-by-step explanation:

The correct one would be 8x - 3y-2

Answer:

(7, 32), In this situation you could put any ordered pair but it just has to be different than the x variables shown. The y values can be the same, only the x values really count ‍♀️

a-1. The manager's return in the month, based on the performance table information, is 1.38%.

a-2.  The manager's underperformance is 0.51% (1.89 - 1.38).

A manager's underperformance occurs when the manager delivers results below expectation.

For instance, the weighted benchmark return was expected to be 1.89%, but the manager achieved an actual weighted return of 1.38%.

                     (1) Actual    (2) Actual   (3) Benchmark   (4) Index

                         Return        Weight           Weight     Return

Equity                  2.2%         0.4                  0.5                 2.7% (S&P 500)

Bonds                  1.1             0.2                  0.2                  1.5 (Barclays Aggregate Bond index)

Cash                    0.7          0.4                   0.3                  0.8

                     (1) Actual    (2) Actual   Weighted

                         Return     Weight       Returns

Equity                  2.2%         0.4            0.88%

Bonds                  1.1             0.2            0.22

Cash                    0.7          0.4              0.28

Weighted Returns =                             1.38%

                      Benchmark   (4) Index                   Weighted

                            Weight        Return                   Benchmark

Equity                  0.5                 2.7% (S&P 500)    1.35% (0.5 x 2.7)

Bonds                  0.2                  1.5 (Barclays       0.30 (0.2 x 1.5)

Aggregate Bond index)

Cash                    0.3                  0.8                      0.24 (0.3 x 0.8)

Weighted Benchmark Return =                            1.89%

Thus, there was a comparative underperformance of 0.51%.

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Circumference is diameter x pi so the diameter of the circle is 11.

Radius is half the diameter so the radius is 11/2 = 5.5

area of a circle is r^2 x pi

Area = 5.5^2 x pi

5.5^2 = 30.25

Area = 30.25pi

The square root of 576 is the inverse of the mathematical operation of squaring the number 24. The square root of a number implies a number whose product with itself gives the initial number. Now we will calculate the square root of 576 using various methods and a few interesting facts and problems too.

The square root of 576 can be written as √576 and (576)1/2

The square of 576 will be a number(a) such that a × a = 576

And 24 × 24 = 576 also -24 × -24 = 576

Therefore, +24 and -24 are the square root of 576

The square root of 576 are +24 and -24.

Both numbers are integers and we know that all integers are rational numbers.

Hence, the square root of 576 is a rational number.

Answer:

A. x = 11

B. x = 3/4 (or 0.75)

C. any value

D. x = 0

Step-by-step explanation:

hope this helps:)

Answer:1.1.this relation is function because domains are not repeated

Step-by-step explanation:

Answer:

A. 12.78

Step-by-step explanation:

4 shirts for 21.83 = 87.32

87.32 + 42.38 + 74.78 = 204.48

204.48 x 0.0625 = 12.78

Answer:

all of them

Step-by-step explanation: Because the age bracket id between 56 and 59.

Answer:

3

Step-by-step explanation:

[tex]\sqrt[3]{27} =\sqrt[3]{(3)(3)(3)} =\sqrt[3]{(3)^3}= 3[/tex]

Answer:     3.............

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, so hmm let's use the two points you see in the picture below from the provided table.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{5+1}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=2x-2\implies y=2x-3[/tex]

Answer:

7156.6 Women. 28624 Men.

Step-by-step explanation:

I used a web browser and typed "35783/5" That answers the woman part. "4/5 of 35783" Solves the male part.

There are about 4/5th = 28626 male police officers in the city.

Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

Given, there are 35,783 police officers in the city.

1/5 of them are females.

That means, 1/5th = 20%

20% are female police officers.

And 100 -20 = 80% are the male police officers.

To find the number of male police officers:

80% of 35,783

= 35783 x 80 / 100

= 28626.4

= 28626 approximated

Therefore, 4/5th male police officers in the city are 28626.

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Answer:

2x+4

Step-by-step explanation:

factor 4x²-16

=(2x+4)(2x-4)

=(2x+4)(2x-4)/ 2x-4

cancel out the common factors of 2x-4

Answer= 2x+4

Answer:

7.5

Step-by-step explanation:

how i figured it is 18-3 is 15

2*7 is 14 so in turn 7.5 *2 is 15 so

z=7.5

This can be represented in the form of an equation as: 2(x + 3) = 18.So, the correct Answer is A. 2(x+3)=18.

The correct translation of the given sentence is:" twice the sum of a number and three is eighteen".

The equation "2(x + 3) = 18" correctly represents the statement "twice the sum of a number and three is eighteen."

To know more about equation:

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hello,

the answer would be 6 boxes

Answer:

28.57

Explanation:

35 is the total amount of students.

25 is the amount of women in the class, we can assume the rest are men.

35 Total students - 25 women = 10 men

10 men, 35 Total students

(10/35) × 100 = 28.57%

Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr[tex]r^{2}[/tex]

A = π(5)²

A = π(25)

A = 25π

[tex](256)^{\tfrac 14}\\\\=(4^4)^{\tfrac 14}\\\\=4^{\tfrac 44}\\\\=4^1 \\\\= 4\\\\\\27^{\tfrac 13}\\\\=(3^3)^{\tfrac 13}\\\\=3^{\tfrac 33} \\\\=3^1\\\\=3[/tex]

Its 62%

I took the test

Answer:

29/400

Step-by-step explanation:

Converting 0.0725 to a fraction

The simplified fraction form of 0.0725 is 29/400.

A fraction is used to indicate a piece of something larger. It depicts the whole's equal pieces. The numerator and denominator are the two elements of a fraction.

The given value is 0.0725.

Multiply numerator and denominator by 10000

then 0.0725 = 725/10000

To simplify divide numerator and denominator by 25

then 725/10000 =29/400

Hence the simplify fraction form is 29/400.

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Answer:

The slope is -2, or -2/1.

Step-by-step explanation:

[tex]m = \frac{15 - 5}{ - 3 - 2} = \frac{10}{ - 5} = - 2 = - \frac{2}{1} [/tex]

Answer:

x is 54˚

Step-by-step explanation:

Answer:

x = 54°

Step-by-step explanation:

Forming the equation,

→ (2x + 2)° = (3x - 52)°

Now the value of x will be,

→ (2x + 2)° = (3x - 52)°

→ 2x - 3x = -52° - 2°

→ -x = -54°

→ [ x = 54° ]

Hence, the value of x is 54°.

Answer:

gg8jhytufgkl

Step-by-step explanation:

Answer:   A≈1015.4

Step-by-step explanation:

A=2πrh+2πr2=2·π·8·12.2+2·π·82≈1015.36275

Answer:

407 mm²

Step-by-step explanation:

The formula for the surface area of a clyinder is: A = 2[tex]\pi[/tex]r · (r + h)

Plugging in the given values, we have: A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · 16.2

A = 2(3.14)4 · 16.2

A = 406.944

A = 407 (rounded)

hope this helps!