Can someone help me with this?

Can Someone Help Me With This?

Answers

Answer 1

The value of the functions are;

a. x = 5/6

b. x> 5/6

c. x = 1

d. x ≤ 1

How to determine the functions

Note that functions are defined as laws or rules showing the relationship between two variables

From the information given, we have that;

f(x) = 6x - 5

g(x) = -5x + 6

To determine the functions, we have;

f(x) = 0

6x - 5 = 0

collect like terms

6x = 5

x = 5/6

f(x) > 0

6x - 5> 0

6x > 5

x> 5/6

f(x) = g(x)

6x - 5 = -5x + 6

collect like terms

11x = 11

x = 1

f(x) ≤ g(x)

6x - 5 ≤ - 5x + 6

collect like terms

11x ≤ 11

x ≤ 1

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Can Someone Help Me With This?

Related Questions

Need help with this mathematical question

Answers

Five-number summary for data set A is: 21, 23.5, 27, 31.5, 34

Five-number summary for data set B is: 21, 22.5, 24.5, 28.5, 35

How to Determine the Five-number Summary of a Data Set?

the five-number summary of a data set consists of:

The minimum or the lowest value

First quartile (Q1), that is the middle of the first part of the data set when ordered.

Median, that is the center of the data set.

Third quartile (Q3), that is the middle of the second part of the data set when ordered.

Maximum value or largest value.

The five-number summary is written from the least to the largest value.

Five-number summary for data set A:

Given, 24, 31, 30, 32, 23, 25, 34, 32, 25, 21, 22, 29;

Minimum: 21

First Quartile: 23.5

Median: 27

Third Quartile: 31.5

Maximum: 34

Five-number summary for data set B:

Given, 35, 33, 32, 21, 22, 23, 24, 25, 24, 22, 25, 25;

Minimum: 21

First Quartile: 22.5

Median: 24.5

Third Quartile: 28.5

Maximum: 35

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Given: OA = AC = 2
AB is a tangent line to k(O)

Find: AB

Answers

Answer:

AB = 2√3  units

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

Tangent is perpendicular to radius, hence ΔAOB is right triangle.

Given that OA = AB, and we know OA = OC as two radius. Therefore OAC is equilateral triangle, hence all its angles are same:

m∠AOC = 180°/3 = 60°

It means ΔOAB is a specific 30x60x90 right triangle.

The ratio of its sides is:

OA : AB : OB = 1 : √3 : 2

It gives us that:

AB = OA√3AB = 2√3  

5.5B + 4R = 28
7.
The above equation is true if Amit buys B pounds
of blueberries and R pounds of raspberries at a farm
where blueberries cost $5.50 per pound and
raspberries cost $4.00 per pound. According to the
equation, how much does Amit spend in total on
both types of berries?
A. $9.50
B. $22.00
C. $28.00
D. $56.00

Answers

Answer: $28.00 (C)

Step-by-step explanation:

The total is 28 (based on the equation).

No matter how many blueberries or raspberries Amit buys, the toal must equal 28 dollars.

the answerr is $28.00

Imymaths Kinematics formulae, need help desperately

Answers

1. The final velocity is 8.3 m/s and the distance covered is 16.8 m.

2. The acceleration is  34.7  and it would travel  58.9 m.

What is the acceleration?

Acceleration is a physical quantity that describes the rate of change of an object's velocity over time. In other words, it is the rate at which the speed or direction of motion of an object changes.

Using;

v = u + at

v = ?

u = 2.9 m/s

a = 1.8 m/s2

t = 3 s

Then;

v = 2.9 + (1.8 * 3)

v = 8.3 m/s

Also;

[tex]v^2 = u^2 + 2as\\s = v^2 - u^2/2a\\s = (8.3)^2 - (2.9)^2/2 * 1.8[/tex]

s = 68.89 - 8.41/3.6

= 16.8 m

2)

[tex]v^2 = u^2 + 2as\\a = v^2 - u^2/2s\\a = (27)^2 - 0^2/2 * 10.5[/tex]

a = 34.7[tex]m/s^2[/tex]

Using;

[tex]s = ut + 1/2at^2\\ut = 0\\s = 1/2at^2\\s = 0.5 * 34.7 * (2)^2\\s = 69.4 m[/tex]

It would travel; 69.4 - 10.5 = 58.9 m

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Determine the value of f (3) for the function. Please help, answer is not 0

Answers

The value of f(3) in the function is undefined

The given function are f(x)= x³+18x²+104x+192 for x≤-3

f(x)= 3x-9/x³-2x²-5x+6 for -3< x≤3

f(x)= 3x-9/x³-2x²-5x+6 for -3< x≤3

f(x)=√x²-9

We have to find the value of f(3)

The 3 lies in the interval -3< x≤3

So we use function f(x)= 3x-9/x³-2x²-5x+6 to find f(3)

f(x)= 3(3)-9/(3)³-2(3)²-5(3)+6

=0/27-18-15+6

=undefined

Hence, the value of f(3) in the function is undefined

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PLEASE ANSWER URGENTLY
Drag the tiles to the correct boxes to complete the pairs. Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle. ​

Answers

the x coordinates are matched as follows

For y = √110/11  x = ± 1/√(11)

For y = 7/11  x = ± 6√(2) /11

For y = 5/11   x = ±4√(6) /11

For y = 9/11:   x = ±2√(10) /11

How to find the x values

Using the equation of the unit circle

x² + y² = 1

For y = √110 / 11

x² + (√110/11)² = 1

x² + 110/121 = 1

x² = 1 - 110/121

x² = 11/121

x = ±√(11)/11

x = ± 1/√(11)

For y = 7/11

x² + (7/11)² = 1

x² + 49/121 = 1

x² = 1 - 49/121

x² = 72/121

x = ±√72/11

x = ± 6√(2) /11

For y = 5/11

x² + (5/11)² = 1

x² = 1 - 25/121

x² = 96/121

x = ±4√(6) /11

For y = 9/11

x² + (9/11)² = 1

x² = 1 - 81/121

x² = 40/121

x = ±√40/11

x = ±2√(10) /11

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HELP!!! augment geometry help

Answers

The number of balloons needed to fill the room is given as follows:

5729 balloons.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the room are given as follows:

15 ft, 25 ft and 8 ft.

Hence the volume is given as follows:

V = 15 x 25 x 8

V = 3000 ft³

The volume of a sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

V = 4πr³/3.

The balloon has a radius of 0.5 ft, hence it's volume is given as follows:

V = 4π x 0.5³/3

V = 0.5236 ft³.

Then the number of balloons is obtained as follows:

3000/0.5236 = 5729 balloons.

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Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?

Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.

Answers

Answer:

stocks: $45000bonds: $55000CDs: $45000

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

Setup

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50

Solution

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

stocks: $45000bonds: $55000CDs: $45000

__

Additional comment

Using b = c +10000, the two remaining equations are ...

s +2c = 1350000.067s +0.0825c = 6727.50

<95141404393>

HOMEWORK HELP PLEASE !!! THANKS​

Answers

a. Answer: the point (9, -8) lies on line Q

Explanation: (9, -8) is a set of coordinates of the form (x, y). This means that 9 is the x-coordinate and -8 is the y-coordinate. To find which line the point (9, -8) lies on, substitute 9 for x and -8 for y in the equations.

P: -8 = 3(9) - 6, FALSE, therefore this point does not lie on the line P
Q: 4(9) + 3(-8) = 12, TRUE, therefore this point does lie on the line Q


b. Answer: line Q is written as y = -(4/3)x + 4 in slope-intercept form. In slope-intercept form, the coefficient of the term with x in it corresponds to the slope of the line (its steepness). Because the absolute value of -4/3 is less than the absolute value of 3, line P is steeper than line Q.

Explanation for slope-intercept form of Q: we need to isolate y on one side. First subtract 4x from both sides of 4x + 3y = 12. This gives us 3y = 12 - 4x. Next, divide both sides by 3 to isolate y. Now the equation is y = 4 - (4/3)x. In slope-intercept form, it is customary to write the term with x before the constant. This gives y = -(4/3)x + 4.

1+1
Wrong answers only

Answers

The answer is 11 I think

Factor out the greatest common factor.
polynomial.
3
2x³ - 10

Answers

The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)

We have to factories 2x³ - 10

So, 2x³ = 2 . x . x . x

10 = 2 . 5

Then, 2x³ - 10

= 2. x . x . x - 2.  5

= 2( x . x .x - 5)

= 2 (x³ - 5)

The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)

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△DOG triangle, D, O, G, find DG

Round your answer to the nearest hundredth.
A right triangle D O G. Angle D O G is a right angle. Angle D G O is seventy-two degrees. Side D G is unknown. Side D O is eight point two units.

Answers

Answer:100

Step-by-step explanation:

this is my question ​

Answers

The quotient evaluated in 7 is equal to the quotient of the two functions evaluated in 7, thus:

(f/g)(7) = f(7)/g(7) = 3

How to find the value of (f/g)(7)?

Here we know the functions:

f(x) = 2x + 1

g(x) = x - 2

The quotient evaluated in 7 is equal to the quotient between the two functions evaluated in x = 7, then here we will get:

f(7) = 2*7 + 1 = 14 + 1 = 15

g(7) = 7 - 2 = 5

Then the quotient gives:

(f/g)(7) = f(7)/g(7) = 15/5 = 3

That is the value.

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Multiplication 1 x 1/6 =

Answers

Answer:

1/6

Step-by-step explanation:

1 x 1/6 = 1/6

Any number multiplied with one is that number itself.

1/6

Step-by-step explanation: Anything multiplied by 1 equals itself, therefore, the answer is 1/6. Hope this helps, and please give me Brainliest! :)

Find the x-intercepts and y-intercept of the following function.
f(x) = (x+9) (x +9) (x-8)

Answers

Answer:

To find the x-intercepts, we set y = 0 and solve for x:

f(x) = (x+9) (x+9) (x-8) = 0

The solutions are x = -9 (double root) and x = 8.

To find the y-intercept, we set x = 0:

f(0) = (0+9) (0+9) (0-8) = -583.

Therefore, the y-intercept is (0, -583).

A little too late I got this question yesterday on an assignment and didn’t think to look on here

write down the value of the 1 in 213,456​

Answers

Step-by-step explanation:

The value of the digit 1 in the number 213,456 is 10,000.

Pls I need help asap



Answers

13

5^2+12^=169

square root of 169=13

if the triangle wasnt a right angled triangle it would equal to 13 and would give u something else

A right triangle has side lengths d, e, and fas shown below.
Use these lengths to find cosx, tanx, and sinx.
2
f
d
COSX =
tanx =
sinx =
0
0
0

Answers

Answer:

cos(x) = f/etan(x) = d/fsin(x) = d/e

Step-by-step explanation:

You want to find the values of cos(x), tan(x), and sin(x) in right triangle DEF as shown in the figure.

Trig relations

The relationships between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. This tells you ...

  Cos = Adjacent/Hypotenuse

  cos(x) = f/e

  Tan = Opposite/Adjacent

  tan(x) = d/f

  Sin = Opposite/Hypotenuse

  sin(x) = d/e

<95141404393>

Please i need help here.

Answers

The numeric value of the derivative at x = 3 is given as follows:

C. 0.5.

How to obtain the derivative?

The quotient function has the format given as follows:

(f/g)(x).

The derivative of the function is obtained applying the quotient rule, as follows:

(f/g)'(x) = [f'(x)g(x) - f(x)g'(x)]/[g(x)]².

Then at x = 3, the derivative is given as follows:

(f/g)'(3) = [f'(3)g(3) - f(3)g'(3)]/[g(3)]².

Replacing the values from the table, we have that:

(f/g)'(3) = [3 x 2 - 1 x 4]/2².

(f/g)'(3) = 2/4

(f/g)'(3) = 0.5.

Meaning that the correct option is given by option C.

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Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone.The part of the courtyard that will be covered in stone has an area of 246 square feet. What fraction of the area of the courtyard will be occupied by the fouantain.

Answers

The fountain will occupy a fraction of 50/173 of the Total area of the courtyard.

Let A be the area of the courtyard and F be the area of the fountain.

We know that the area of the stone-covered part of the courtyard is 246 square feet.

So, the area of the whole courtyard is A = 246 + F square feet.

The fraction of the area of the courtyard occupied by the fountain is given by:

F / A = F / (246 + F)

We can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:

F / A = F / (246 + F) * (1 / (246 + F))

F / A = F / (246 * (246 + F))

F / A = 1 / (246 / F + 1)

We don't know F yet, but we can use the fact that the fountain is rectangular to set up an equation relating the length and width of the fountain:

F = L * W

where L is the length of the fountain and W is the width of the fountain.

We also know that the perimeter of the fountain is 50 feet:

2L + 2W = 50

Simplifying this equation, we get:

L + W = 25

Solving for one variable in terms of the other, we get:

L = 25 - W

Substituting this expression for L into the equation for F, we get:

F = (25 - W) * W

Expanding this expression, we get:

F = 25W - W^2

We also know that the cost of the fountain is $600, which includes installation. So, we can set up another equation relating the cost of the fountain to its dimensions:

1.5LW = 600

Substituting 25 - W for L, we get:

1.5(25 - W)W = 600

Expanding and simplifying this equation, we get:

W^2 - 25W + 400 = 0

Solving this quadratic equation, we get:

W = 20 or W = 5

We reject the solution W = 5 because it implies a negative length for the fountain, which is not physically possible. Therefore, the width of the fountain is W = 20 feet and its length is L = 25 - W = 5 feet.

The area of the fountain is therefore:

F = L * W = 5 * 20 = 100 square feet

The fraction of the area of the courtyard occupied by the fountain is

F / A = 100 / (246 + 100) = 100 / 346 = 50 / 173

So, the fountain will occupy a fraction of 50/173 of the total area of the courtyard.

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Solve for a side in right triangles

Answers

The value of the hypotenuse AB is 4.73 units.

Given is right triangle, we need to find the measure of side AB,

So, we know that the Sine of an angle is the ratio of the perpendicular side to the hypotenuse of the triangle,

So,

Sin A = BC / AB

Sin 25° = 2 / AB

AB = 2 / Sin 25°

AB = 4.73

Hence the value of the hypotenuse AB is 4.73 units.

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Please help with problems 1-7 please

Answers

The probability of drawing a red or green M&M is 29/74.

The probability of drawing an M&M that is not blue or green is 36/74.

the probability of drawing an M&M that is not brown is 69/74.

The probability of drawing a red or green M&M is the sum of their probabilities, since they are mutually exclusive events (meaning that an M&M can't be both red and green at the same time):

P(red or green) = P(red) + P(green) = 8/74 + 21/74 = 29/74

The probability of drawing an M&M that is not blue or green is the complement of the probability of drawing a blue or green M&M:

P(not blue or green) = 1 - P(blue or green) = 1 - (P(blue) + P(green)) = 1 - (17/74 + 21/74) = 36/74

The probability of drawing an M&M that is not brown is the complement of the probability of drawing a brown M&M:

P(not brown) = 1 - P(brown) = 1 - 5/74 = 69/74

To determine which is more likely, drawing a red M&M or drawing an orange M&M, we need to compare their probabilities:

P(red) = 8/74

P(orange) = 12/74

Since 12/74 is greater than 8/74, it is more likely to draw an orange M&M than a red M&M.

The color with the highest chance of being drawn is the one with the highest probability, which is green with a probability of 21/74.

The probability of drawing any M&M is 1, since there is a 100% chance of drawing an M&M when you draw from the bag.

Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

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Explain why every positive number has two square roots.

Answers

Answer:

Squaring positive and negative numbers always yields a positive number; the product of two negative numbers is always a positve number.  Using √4 as an example, we know the positive answer is 2 since 2 * 2 = 4.  However, the negative answer is -2 since -2 * -2 = 4 also.

Helppp pleasseeee guys

Answers

When we apply Gauss- Jordon elimination method to solve the system of equation, it becomes;

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&0&2\\0&0&1&-6\end{array}\right][/tex]

How do we solve the linear equation is Gauss- Jordon elimination method?

To solve the augment matrix that represents a system of linear equation using Gauss- Jordon elimination method, we reduce every value to 0's and 1's to get the values in the fourth column.

-5   -3    -4   -12

0    -2    -7    38

0      1     4    -22

    R₁ ÷ -5                                   R₂ ÷ -2

1    3/5     4/5  12/15             1    3/5    4/5   12/15

0    -2    -7    38                   0     1       7/2   -19

0      1     4    -22                  0      1     4    -22          

R₁ - 3/5R₂                                   2R₃

1      0   -13/10   69/5              1      0   -13/10   69/5

0     1      7/2     -19                 0     1      7/2     -19

0     0     1/2      -3                   0     0     1         -6

 R₂ + 13/10R₃                                  R₂ - 7/2R₃

1      0     0     6                             1      0     0     6  

0     1      7/2  -19                          0     1      0      2

0     0     1         -6                         0     0     1      -6

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pls check photo for question

Answers

120 is the answer for that one

An aeronautical engineer designs a small component part made of copper, that is to be used in the manufacturer of an aircraft. The part consists of a cone that sits on top of a cylinder as shown in the diagram below. Find the volume of the part. (Leave your answer in terms of pi).

Answers

The specific measurements or Dimensions of the cone and cylinder (such as the radius and height).

The volume of the component part consisting of a cone on top of a cylinder,  the volumes of the individual shapes and sum them together. the part consists of a cone and a cylinder/

1. Volume of the cone:

The volume of a cone can be calculated using the formula V_cone = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.

2. Volume of the cylinder:

The volume of a cylinder can be calculated using the formula V_cylinder = π * r^2 * h, where r is the radius of the base and h is the height of the cylinder.

the given diagram and determine the necessary measurements. without the specific measurements or dimensions (such as the radius and height of the cone and cylinder), I am unable to calculate the volumes.

the specific measurements or dimensions of the cone and cylinder (such as the radius and height).

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3.4,2/3,2.7, 7,3/4,1 in a number line

Answers

Answer:

       0      1      2      3      4      5      6      7

       |      |      |      |      |      |      |      |

     2/3   1     2.7    3.4         7      |

                         |_____________|

                               |

                             3 3/4

Help for my math homework

Answers

Answer:

82 in^2

Step-by-step explanation:

Total Surface Area (TSA) = 2 × Base Area + Base Perimeter × Height

TSA = 2× (7×2) + (7+7+2+2) ×3

= 2 × 14 + 18 × 3

= 82 in^2

Janet Foster bought a computer and printer at Computer land. The printer had a $860 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,020 list price with a 25% trade discount but no cash discount. On the computer, Computer land offered Janet the choice of (1) paying $150 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 6% interest for 18 months in equal payments.

a. Assume Janet could borrow the money for the printer at 6% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.)



b. On the computer, what is the difference in the final payment between choices 1 and 2? (Round your answer to the nearest cent.)

Answers

Her savings would be $12.72 ($760 - $744.80 - $2.48).

The difference in the final payment is therefore $221.50 - $150 = $71.50.

How to solve

a. The printer's price after the trade discount is $760 ($860 - $100). If Janet takes the 2% cash discount, she'll pay $744.80 ($760 * 98%).

If she borrows this amount at 6% for 20 days (the difference between 30 days credit and 10 days cash discount), her interest cost will be $2.48 ($744.80 * 6% * 20/360).

Therefore, her savings would be $12.72 ($760 - $744.80 - $2.48).

b. For choice 1, Janet would pay $150 for 17 months and then the remainder ($4,020 * 75% - $150 * 17) in the 18th month.

For choice 2, the monthly payment is $221.50, calculated by using the formula for an installment loan.

The difference in the final payment is therefore $221.50 - $150 = $71.50.

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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answers

The total area of the figure is 50.13 square units.

How to find the area of the figure shown?

We can decompose the figure into a rectangle of 12 by 3 units, and a semicircle whose radius is 3 units.

Remember that the area of a rectangle is equal to the product between its dimensions, then the area of the rectangle we will get.

A = 12*3 = 36 square units.

For a semicircle of radius R, the area is:

a = 0.5*3.14*R²

Here the radius is 3 units, then.

a =  0.5*3.14*3² = 14.13 square units.

Adding that we will get:

total area = 36 square units + 14.13 square units.

total area = 50.13 square units.

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