Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.

Step-by-step explanation:

what is the question please

We have:

So:

\( \frac{48}{6} = \frac{112}{x} \)

\(x = \frac{112 \times 6}{48} = 14\)

P/s: x is a quantity of cng gas will be needed to go 112 km.

Answer: 14 liters of cng gas

Ok done. Thank to me :>

Answer:

9 times

Step-by-step explanation:

The least common multiple (henceforth written as LCM) of 3 and 8 is 24. Therefore, these 2 owls hoot 72/24 = 3 times. The LCM of 3 and 12 is 12. These 2 owls hoot 72/12 = 6 times. The LCM of 8 and 12 is 24. These 2 owls hoot 72/24 = 3 times. Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.

If they all hoot together at the start, 9 times during the next 80 hours will just two of the owls hoot together.

Number theory is the study of integers and functions of arithmetic.

One owl hoots every 3 hours.

Second owl hoots every 8 hours.

Third owl hoots every 12 hours.

If they all hoot together at the start, how many times during the next 80 hours will just two of the owls hoot together

Number theory indicates that the multiples of the periods of hooting are;

The multiples of 3 are; 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72,75, 78, 81, 82

The multiples of 8 are; 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The multiples of 12 are; 12, 24, 36, 48, 60, 72,

The least common multiple of 3 and 8 is 24, these 2 owls hoot 72/24 = 3 times.

The LCM of 3 and 12 is 12, these 2 owls hoot 72/12 = 6 times.

The LCM of 8 and 12 is 24, these 2 owls hoot 72/24 = 3 times.

Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.

Therefore, 9 times during the next 80 hours will just two of the owls hoot together.

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).  Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.

To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.

The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.

Now, we can substitute the values into the formula:

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).

Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

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Answer:

12

Step-by-step explanation:

50 x 0.24 = 12

Answer:

a. Photographer A by $10

b. Photographer B by $25

Answer:

correct answer is 456 sq units.

Step-by-step explanation:

Let us have a look at the formula for Surface Area of a prism:

\(A =p \times h+2 \times B\)

Where p is the perimeter of base

h is the height of prism

and B is the base area of prism.

Given that:

h = 7.5 units

Hypotenuse of prism's base = 20 units

One of the Other sides = 12  units

Pythagorean theorem can be used to find the 3rd side of right angled base.

Square of hypotenuse = Sum of squares of other two sides

\(20^2=12^2+side^2\\\Rightarrow 400=144+side^2\\\Rightarrow side =\sqrt{256}\\\Rightarrow side =16\ units\)

Area of base = area of right angled triangle:

\(B = \dfrac{1}{2} \times \text{Base Length} \times \text{Perpendicular Length}\\\Rightarrow B = \dfrac{1}{2} \times 16\times 12 = 96\ sq\ units\)

Perimeter \(\times\) height = (12+20+16) \(\times\) 7.5 = (48) \(\times\) 7.5 = 360 sq units

Now putting the values in formula:

Surface area, A = 360+96 = 456 sq units

So, correct answer is 456 sq units.

Answer:

3x

Step-by-step explanation:

Simplified expression: 3x-3r+67

Every ideal of S is principal when f:R⇒S be a surjective homomorphism of rings with identity.

In a homomorphism, corresponding elements of two systems behave very similarly in combination with other corresponding elements. For example, let G and H be groups. The elements of G are denoted g, g′,…, and they are subject to some operation ⊕.

In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word homomorphism comes from the Ancient

Let f:R⇒S be a surjective homomorphism of rings with identity.

We have to find if R is a PID, prove that every ideal in S is principal.

We know that,

Let I be the ideal of S

Since f is sufficient homomorphism.

So, f⁻¹(I) is an ideal of R.

Since R is PID so ∈ r ∈ R such that

f⁻¹(I) = <r>

I = <f(r)>

Therefore,

Every ideal of S is principal when f:R⇒S be a surjective homomorphism of rings with identity.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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the frist one for sure 4x-e

Answer:

Practical Domain: 0 ≤ g ≤ 22

Practical Range: 0 ≤ C(g) ≤ 78.32

Step-by-step explanation:

The domain is the input of the function, usually, x, but it is g in this problem.

The input here is the number of gallons you can get. The tank holds a maximum of 22 gallons, so if the tank is already full, you will get 0 gallons. If the tank is completely empty, you can get up to 22 gallons. The domain is the values of the input of the function. Since the input is from 0 gallons to 22 gallons, we get this for the domain:

Practical Domain: 0 ≤ g ≤ 22

The range is the output of the function. Usually it is f(x), but in this problem it is C(g). When you input the number of gallons into the function, the output is the cost of that number of gallons. The domain is from 0 to 22 gallons. Now we use the function to find the cost of 0 gallons and the cost of 22 gallons.

Here is the function:

C(g) = 3.56g

What is the cost of 0 gallons? In this case, g = 0.

C(0) = 3.56(0) = 3.56 × 0 = 0

0 gallons cot 0 dollars, which makes sense.

What is the cost of 22 gallons, the greatest amount of fuel you can fit in the tank?

C(g) = 3.56g

Here, g = 22.

C(22) = 3.56(22) = 3.56 × 22 = 78.32

22 gallons cost 78.32 dollars.

The range of the function is from 0 dollars to 78.32 dollars.

Practical Range: 0 ≤ C(g) ≤ 78.32

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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The inequality x > 7 is the solution inequality for the given absolute inequality.

Given is the inequality as follows -

|x| − 2 > 5

We have the following inequality as shown -

|x| − 2 > 5

We can write it as -

|x| − 2 > 5 = - x - 2 > 5     {for x < 0}

|x| − 2 > 5 =  x - 2 > 5      {for x > 0}

Now, solving the inequalities separately -

- x - 2 > 5

- x > 7

x < - 7

and

x - 2 > 5  

x > 7

Now, we can write -

x < - 7 and x > 7

Therefore, the inequality x > 7 is the solution inequality for the given absolute inequality.

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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Answer:

That can be factored as

(x -1  (1/3) ) * ( x +3) * (x -4/5)

and the zeroes are located at:

x = 1.33333333...   x = -3    and x = .8

Step-by-step explanation:

Answer:

\(\boxed{\sf \ \ \ f(x)=(x+3)(5x-4)(3x-4) \ \ \ }\)

Step-by-step explanation:

We need to factorise the following function

\(f(x)=15 x^3+13 x^2-80 x+48\)

-3 is a trivial solution, we can notice that f(-3)=0

so we can factorise by (x+3)

let s note a, b and c real and let s write

\(f(x)=15 x^3+13 x^2-80 x+48=(x+3)(ax^2+bx+c)\)

\((x+3)(ax^2+bx+c) = ax^3+bx^2+cx+3ax^2+3bx+3c=ax^3+(b+3a)x^2+(3b+c)x+3c\)

let s identify...

the terms in \(x^3\)

   15 = a

the terms in \(x^2\)

   13 = b + 3a

the terms in x

   -80 = 3b+c

the constant terms

   48 = 3c

so it comes, c=48/3=16, a = 15, b = 13-3*15=13-45=-32

so \(f(x)=(x+3)(15x^2-32x+16)\)

\(\Delta=32^2-4*15*16=64\)

so the roots of \((15x^2-32x+16)\) are

\(\dfrac{32-8}{15*2}=\dfrac{24}{30}=\dfrac{12}{15}=\dfrac{4}{5}\)

and

\(\dfrac{32+8}{15*2}=\dfrac{40}{30}=\dfrac{20}{15}=\dfrac{4}{3}\)

so \(f(x)=(x+3)(5x-4)(3x-4)\)

the zeros are -3, 4/5, 4/3

vertex at

(

−

1

,

−

4

)

Explanation:

Given:

y

=

2

x

2

+

4

x

−

2

Convert the given form into "vertex form"

y

=

m

(

x

−

a

)

2

+

b

with vertex at

(

a

,

b

)

XXX

y

=

2

(

x

2

+

2

x

)

−

2

complete the square

XXX

y

=

2

(

x

2

+

2

x

+

1

)

−

2

−

2

XXX

y

=

2

(

x

+

1

)

2

−

4

XXX

y

=

2

(

x

−

(

−

1

)

)

2

+

(

−

4

)

which is the vertex form with vertex at

(

−

1

,

−

4

)

graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

Answer:

O✓ (0,-5)

Step-by-step explanation:

Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

Answer:

ABC

Step-by-step explanation:

Answer:

YZX ~ ABC

Step-by-step explanation:

For Angle Y, there is one curved line, so you must go to the other triangle and find which angle has one curved line too, in this case that is angle A. Then, Angle Z has three curved lines, and in the other triangle, Angle B has three curved lines, so you now have AB, which only leaves C left. So your final answer is ABC.

Answer:

If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.

If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.

The perimeter of the semicircle is 19π cm if the diameter of the circle is 38 cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle with diameter of 38 cm.

Diameter = 38 cm

The radius of the circle = 38/2 = 19 cm

Perimeter of the circle = 2πr = 2π(19) = 38π cm

Perimeter of the semicircle = 38π/2 = 19π cm

Thus, the perimeter of the semicircle is 19π cm if the diameter of the circle is 38 cm.

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