What is the equation of the line that passes through the points (4, 5) and (7, 3)

Answer:

(f+g)(2)=5

Step-by-step explanation:

Subsitute 2 in for x in both functions. Then add the answers of the functions together.

Answer:

k = $0.50

Step-by-step explanation:

The data that we have is:

Rocko paid: $12.50 for 25 tickets.

Louisa paid: $17.50 for 35 tickets.

Now, the question asks to find the constant of proportionality.

A proportional relation can be written as:

y = k*x

where k is the constant, and in this case, y is the price and x the number of tickets bought.

Then replacing with the values above, we have:

$12.50 = k*25

then:

k = $12.50/25 = $0.50

And the other data:

$17.50 = k*35

K = $17.50/35 = $0.50

So we have the same k in both cases, this means that the constant of proportionality is k = $0.50

i'm not all too familiar with the constant of proportionality, but both of the situations have a ratio of 0.5/1..

12.50/25 = 0.5/1

17.50/35 = 0.5/1

hopefully this can help you in some way! sorry if it doesn't

Answer:

0.76

Step-by-step explanation:

Hundredth is just the 2nd decimal point

Answer:

<1=39 degrees

<2=141 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps:)

plz mark as brainliest

Answer:

x-38+x+64=180(supplementry angle)

2x+26=180

2x=180-26

2x=154

x=154÷2

x=77

Again,1st angle

x-38

77-38

39

2nd angle,

x+64

77+64

141

Answer:-3

Step-by-step explanation:

The minimum value of a function can be obtained from its derivative

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

Reason:

Let (d, 0) represent the coordinate of the point, on the x-axis, we have;

[tex]\overline{AC}[/tex]² = (4 - d)² + (-5)²

[tex]\overline{AC}[/tex] = √((4 - d)² + (-5)²)

[tex]\overline{BC}[/tex]² = (12 - d)² + 3²

[tex]\overline{BC}[/tex] = √((12 - d)² + 3²)

[tex]\overline{AC}[/tex]² + [tex]\overline{BC}[/tex]² = L =  4² + (-5 - d)² + 12² + (3 - d)²

When [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] is minimum, we have;

[tex]\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0[/tex]

Which gives;

[tex]\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }[/tex]

Therefore;

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0[/tex]

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }[/tex]

Squaring both sides and cross multiplying gives;

16·d² - 528·d + 3456 = 0

Which gives;

16·(d - 24)·(d - 9) = 0

Therefore, d = 24, and d = 9

The point (9, 0), is closer to the given points than the point (24, 0), therefore;

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

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Answer:

Easy lol mzvcn=48

Step-by-step explanation:

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

[tex]Area = A = s^2[/tex]

s is for side

Putting the value of area

[tex]64 = a^2[/tex]

Taking square root on both sides

[tex]\sqrt{s^2} = \sqrt{64}\\s = 8\ feet[/tex]

The length of side is 8 feet.

Perimeter will be:

[tex]P = 4*s\\P = 4*8\\P = 32\ feet[/tex]

Hence,

Tristan will need 32 feet of material for the perimeter of the garden.

Answer:

13

Step-by-step explanation:

Answer:

yes it is 13 i think

Step-by-step explanation:

lol i hope this is it

Answer:

1.28 m

Step-by-step explanation:

48/30 = x/.8

cross multiply

30x = 48(.8)

30x = 38.4

x = 38.4/30

x = 1.28 m

Step-by-step explanation:

In figure below what???

Answer:

here is no pictures sorry

Answer:

(3)¼×¾

Step-by-step explanation:

3⁴/⁴

hope its write

Answer:

[tex]\frac{13}{4}[/tex] · [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Focusing on the first fraction, in order to simplify it, you have to multiply the denominator by the whole number; 4 x 3 is 12. You add the product to the numerator, so 12 + 1 would be 13. Therefore, the first fraction simplified would be [tex]\frac{13}{4}[/tex].

We can apply the same procedure to the next fraction, so 3 x 4 is 12, and 12 + 3 is 15. [tex]\frac{15}{4}[/tex] would be your answer.

Hope this helps! :)

Answer:

The value of x is $4000.

Step-by-step explanation:

Let's call x to the original price per night of a room in the Dubai hotel.

The price first decreased by 5%. Calculate 5% of x:

5 * x / 100 = 0.05x

Now subtract it from the original price:

x - 0.05x = 0.95x

This new price is then increases 15%. Calculate 15% of 0.95x:

15 * 0.95x / 100 = 0.1425x

Add it to the previous price:

0.95x + 0.1425x = 1.0925x

This price is equal to $4370, thus:

1.0925x = 4370

x = 4370 / 1.0925

x = 4000

The value of x is $4000.

Answer:

It’s 17.6

Step-by-step explanation:

Answer:

There are sixteen 15-cent stamps and eight 20-cent stamps.

Step-by-step explanation:

Stamp collector has:

15c stamps

20c stamps

Total value is $4

x($0.15) + y($0.20) = $4.00

The # of 15c stamps is 8 - than 3 * the # of 20c stamps; 15c = 8 - 3c

x = 3y - 8

(3y-8)(0.15)+y(0.20) = $4.00

0.45)y-1.20+(0.20)y = 4.00

(0.65)y-1.20 = 4.00

(0.65)y = 5.20

y = 8

x = 3(8)-8 = 16

There are sixteen 15-cent stamps and eight 20-cent stamps.

Check:

16($0.15)+8($0.20) = $2.40+$1.60 = $4.00

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Answer:

A, 21

Step-by-step explanation:

84 divided by 3 =  28

28 per hour

3/4 of 28 is 21

The answer would be A. 21.

Answer:

1) C

2) O

3) P

4) T

5) I

6) C

7) P

8) S

9) A

10) L

11) T

12) E

13) L

Step-by-step explanation:

Answer:

2x + 5y = 36 in standard form

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~

(3, 6)

(8, 4)

m = [tex]-\frac{2}{5}[/tex]

y - 6 = [tex]-\frac{2}{5}[/tex] ( x - 3 )

y = [tex]-\frac{2}{5}[/tex] x + [tex]\frac{36}{5}[/tex] in slope-intercept form

2x + 5y = 36 in standard form

Answer:

D.

Step-by-step explanation:

right on edge 2022

Answer:

C.

Step-by-step explanation:

Answer:

Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6 which also agrees with.

Step-by-step explanation:

Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6

And what you sed up there was just some words and simols so im prety sure rhis is it

Answer:

Bet.

Step-by-step explanation:

Answer: The correct answer would be 164(c)

Step-by-step explanation:

You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish

Army in Sevilla in the year 1842. Outside your barracks window is a stack of

cannonballs, as shown in the illustration. On an idle afternoon you decide to

calculate the number of cannonballs in the stack. What is the number of

cannonballs?

650 is the number of cannonballs.  It typically fires a projectile propelled by an explosive chemical.

A cannon constitutes a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical. Prior to the development of smokeless powder in the late 19th century, gunpowder (sometimes known as "black powder") served as the main propellant.

Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower. A large artillery weapon is a cannon.

By utilizing the formula of a square pyramid,

n(n+1)(2n+1)/6

12(12+1)(2(12)+1)/6

12(13)(25)/6

2*13*25

=650

Therefore, 650 is the number of cannonballs.

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Given:

The American marriage rate R,  x years after 1960 is defined by the function

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

To find:

The year in which the marriage rate is the highest.

Solution:

We have,

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

In the given function,

[tex]a=-0.0065,b=0.23,c=8.47[/tex]

Now, x-coordinate of vertex is

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}[/tex]

[tex]-\dfrac{b}{2a}\approx 17.69[/tex]

It means the marriage rate is highest after 17 years of 1960.

[tex]1960+17=1977[/tex]

Therefore, the marriage rate is highest in year 1977.

Answer:

C and D

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y2-y1 over x2-x1

-2-4 over 10+2

which equals -6/12

which simplifies to -1/2

Answer:

-1/2

Step-by-step explanation:

Slope formula- m = y2 - y1

                                x2 - x1

x1,y1

-2, 4

x2,y2

10,-2                   -2 - 4

                           10 - (-2)  = -6/12 = -1/2                      

Answer:

x=9

Step-by-step explanation:

FE is 3x-7

since ΔABC≅ΔDEF the equivalent of FE is CB, or BC...which is 20

3x-7=20

3x=27

x=9

Answer:

D) (1,1)

Step-by-step explanation:

You can find the solution by plugging the x-value of each coordinate into the equation. It will be a solution if the y-value of the equation equals the y-value of the coordinate.

For example:

y = 3x -2

y = 3(1) - 2

y = 3-2

y = 1

1 = 1

(1, 1) are the coordinates that are on the given line.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a equation y = 3x -2

To find which coordinates will satisfy the equation:

For coordinates (2, 0)

at x = 2, y should be zero

y = 3 * 2 -2

y = 4

Not satisfied

For coordinates(-3, 0)

at x = -3, y should be 0

y = 3 * -3 - 2

y = -9 -2

y = -11

Not satisfied

For coordinates(0, 2 )

at x = 0, y should be 2

y = 3*0 -2

y = -2

Not satisfied

For coordinates(1, 1)

at x = 1, y should be 1

Y = 3*1 - 2

y = 3 - 2

y = 1

satisfied

Therefore, (1, 1) are the coordinates that are on the given line.

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Answer:

c ≤ 6

Step-by-step explanation:

Lets make our equation!

2.5 per chore thats our slope

+3 she starts with 3 dollars

y = 2.50x +3

Substitute y for 17!

17 = 2.5x +3

Subtract 3!

14 = 2.5x

Divide both sides by 2.5!

x = 5.6

5.6 --> 6

x = 6

Turn it into an inequality!

c ≤ 6

Consider Brainliest! Hope I helped!

Answer:

Y=-3/2x-4

Step-by-step explanation:

Point slope form is

y=mx+b

mx is the slope

and b is the y-intercept

Answer:

around 15.3

Step-by-step explanation:

3^2 + 15^2=c^2

Answer:

Step-by-step explanation:

Formula:

a^2 + b^2 + c^2

3^2 + 15^2 + c^2 = To find hypotenuse

3 • 3 + 15 • 15 = -c^2

9 + 225 = -c^2

234 = c^2

square root of 234 = 15.2970585408

c = 15.2970585408

The roof is 15.2970585408