Graph the inequality.
y < −x + 3

9514 1404 393

Answer:

  B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5

Step-by-step explanation:

Replacing x by x/5 in a function causes its graph to be stretched horizontally by a factor of 5. This is because x must be 5 times as large in order for the function argument to be the same.

Answer:

126.75

Step-by-step explanation:

Multiply 6.5 times 19.5. I'm not sure if I'm right but I hope this helps.

Answer:

i have a class now but i will get in trouble sry

Step-by-step explanation:

Answer:

Meeting ID: 851 5556 0217

Step-by-step explanation:

i hate school proceed as you wish good sir! :)

meeting starts at 11:10 btw

Answer

The person who walks 50 feet in 5 seconds is the faster person.

Explanation

To know who is faster, we would need to calculate their respective speeds.

For the first person,

Distance = 50 feet

Time = 5 seconds

Speed = (50/5) = 10 ft/s

For the second person

Distance = 48 feet

Time = 6 seconds

Speed = (48/6) = 8 ft/s

Hence, we can easily see that the person who walks 50 feet in 5 seconds is the faster person.

Hope this Helps!!!

Answer:

7

Step-by-step explanation:

y=18

y=6x-24

18=6x-24

+24 +24

_______

42=6x

__ __

6 6

7=x

answer:

you would have to subtract the 15 from 25

then divide 25 by 5

your answer should be 5

Answer:

see step by

Step-by-step explanation:

a) the polynomial must be fifth degree, so it must have a \(x^5\) term, also need to have 2 additional terms (Lets add any, lets say \(x^2+8\) (notice this is totally random, just need to be under 5th degree)

So a polynomial can be

\(x^5+x^2+8\)
notice is in standard form since degrees drops from left to right.
Also notice there's an infinite amount of possible answers

b) p-q is the same as -q+p
For example, lets say

\(p=x+1\)

\(q=3x^2-5\)
\(p-q=x+1-(3x^2-5)=x+1-3x^2+5=-3x^2+x+6\)

also

\(-q+p=-(3x^2-5)+x+1=-3x^2+5+x+1=-3x^2+x+6\)

notice is the same expression.

Answer:

  114,286

Step-by-step explanation:

You want the total number of employees such that 22.4% of them is 25,600 employees.

You are given that ...

  0.224 × total = 25,600

Dividing by the coefficient of 'total', we find ...

  total = 25,600/0.224 ≈ 114,285.7

There are about 114,286 employees of the company.

Answer:

19.55 $

Step-by-step explanation:

3.45$×10=34.5=150% of his money overall

34.5÷3=11.5

11.5×2=23= 100% of his money

23-15%=19.55$

$23

Step-by-step explanation:

15% of x = 3.45

= 15/100 = 3.45/x

x= 23

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

Parallel lines

Step-by-step explanation:

They are on the same place but don't intersect.

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Answer:

see below

Step-by-step explanation:

7,12,16,20,27,40,56,64

The square numbers are 16 = 4^2   and 64 = 8^2

The difference is 64 - 16 =48

The cube numbers are 27 = 3^3 and 64 = 4^3

64 - 27 =37

Answer:

a. 48

b. 37

Step-by-step explanation:

7,12,16,20,27,40,56,64

Square numbers= 16=4², 64=8²

Cube numbers= 27=3³, 64=4³

The scale factors of the given figures and their similarity statements are:

1. ΔHJG ~ ΔCAB; 1/3

2. ΔNPM ~ ΔABC; 2

3. KJML ~ CDAB; 2

Using proportions, the values of x are:

4. x = 10

5. x = 6

6. x = 30

The scale factor = the ratio of the corresponding sides of the similar figures = New figure/original figure.

1. The similarity statements of the given figures is, ΔHJG ~ ΔCAB

Scale factor = 4/12 = 1/3

2. ΔNPM ~ ΔABC

Scale factor = 14/7 = 2

3. KJML ~ CDAB

Scale factor = 12/6 = 2

4. 40/x = 20/5

Cross multiply:

20x = 200

Divide both sides by 20

x = 10

5. 18/x = 21/7

21x = 126

x = 6

6. 6/x = 3/15

3x = 90

Divide both sides by 3

x = 30

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Answer:

Step-by-step explanation:

(3x + 4) (x - 8)

3x2 - 8x + 4x - 32

3x2 - 4x - 32

Option B is the correct answer

Answer:

3x2 − 20x − 32

Step-by-step explanation:

Plato answer

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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Step-by-step explanation:

\( {x}^{2} = {3}^{2} + {3}^{2} \\ {x}^{2} = 18 \\ x = 3 \sqrt{2} \)

Answer:

Option (4)

Step-by-step explanation:

From the given circle O,

AC and BD are the diameters intersecting at point O.

∠AOB ≅ ∠COD [Vertical angles]

Therefore, length of intercepted arcs by these central angles will be same.

\(m(\widehat{AB})=m(\widehat{CD})\)

(3x - 70) = (x + 10)

3x - x = 70 + 10

2x = 80

x = 40

Since, \(m(\widehat{AB})+m(\widehat{BC})=180\) [Since AC is a diameter]

(3x - 70) + \(m(\widehat{BC})\) = 180°

3(40) - 70 + \(m(\widehat{BC})\) = 180°

\(m(\widehat{BC})\) = 180° - 50°

           = 130°

Therefore, Option (4) will be the correct option.

Answer:

130 degrees

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

Answer:

The standard form of the equation of y = -1/4x - 2 is x + 4y = -8 which is C

Answer:

  16 square units

Step-by-step explanation:

You want the area of the triangle bounded by the x- and y-axes and the line y = -2x +8.

The line has a y-intercept of +8, and an x-intercept of +4. This means the triangle height is 8 units and its base is 4 units.

The area is ...

  A = 1/2bh

  A = 1/2(4 units)(8 units) = 16 square units

<95141404393>

Answer:

x 3is the correct answer

Answer:

6.875° C

the mean of a set of data is calculated using

mean =

For the first 7 days the mean is 8 and the count = 7

8 =  ( cross- multiply )

sum = 8 × 7 = 56

Add on the temperature on the 8 th day to the sum and divide by 8 for mean

sum = 56 - 1 = 55

mean =  = 6.875° C

2nd question

Height of marble from the ground

An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.

The dependent would be the kinetic and potential energy and the constant would be the type of marble.

Answer:

LCM = 42

Step-by-step explanation:

There are many ways to do this.

Listing Multiples:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 14:

14, 28, 42, 56, 70

Multiples of 21:

21, 42, 63, 84

Therefore,

LCM(14, 21) = 42

Prime Factorization:

List all prime factors for each number.

Prime Factorization of 14 is:

2 x 7  =>  21 x 71

Prime Factorization of 21 is:

3 x 7  =>  31 x 71

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 3, 7

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 7 = 42

In exponential form:

LCM = 21 x 31 x 71 = 42

LCM = 42

Therefore,

LCM(14, 21) = 42

Cake / Ladder:

Divide your numbers by prime numbers as long as both numbers are evenly divisible by that prime.

Cake / Ladder

7 14 21

2       3

When there are no more primes that evenly divide into both numbers you are done.

The LCM is the product of the numbers in the L shape, left column and bottom row.

LCM = 7 x 2 x 3

LCM = 42

Therefore,

LCM(14, 21) = 42

Division Method:

Write your numbers in the top row.

Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.

Division Table

2 14 21

3 7 21

7 7 7

1       1

Bring down any numbers that are not evenly divisible by the prime number.

When the last row of results is all 1's you are done.

Find the product of the prime numbers in the first column to get the LCM:

LCM = 2 x 3 x 7

LCM = 42

Therefore,

LCM(14, 21) = 42

GCF Method:

LCM(14,21) = (14 × 21) / GCF(14,21)

= (14 × 21) / 7

= 294 / 7

= 42

Therefore,

LCM(14, 21) = 42

Venn Diagram:

Inside circle 14: 2

In between circles: 7

Inside circle 21: 3

Then, use prime factorization.

Find the set of prime factors for each number.

Prime Factorization Set for 14 is:

2, 7

Prime Factorization Set for 21 is:

3, 7

Identify the intersections of prime numbers and put them into the Venn Diagram where their circles intersect. Remove the numbers from the original sets.

14 ∩ 21

7

With the remaining prime numbers in each set, if any, put them into their respective circles, not in intersections.

14

2

21

3

Find the union of the sets in the Venn Diagram. This is the superset of all of the prime numbers in the diagram.

14 ∪ 21

The new superset list is

2, 3, 7

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 7 = 42

LCM = 42

Therefore,

LCM(14, 21) = 42

Answer:

Step-by-step explanation: