find the slope of the line that passes through (48,44) and (6,9)


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Answer:

0.25

Step-by-step explanation:

1.75/7 would equaln0.25, use your calculator if you have one

The decimal 1.75 when divided by the number 7 gives the decimal 0.25.

In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.

The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.

The decimal 1.75 can be written as a fraction as follows:

[tex]1.75 = \dfrac{175}{100}[/tex]

      [tex]= \dfrac{7}{4}[/tex]

To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.

[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]

Thus, 0.25 is 1.75 divided by 7.

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Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.

I got 100 for this so gl

The relationship between time and the volume of water in Tank B is proportional.

A line graph is a type of graph where the data points are connected by segments of straight lines.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a line graph shown in the picture.

As we know,

Variables in a linear function will be proportionate if it passes through the origin.

y = mx + b

b is y-intercept = 0

y = mx

The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.

Thus, the relationship between time and the volume of water in Tank B is proportional.

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Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

Rs 20000

Step-by-step explanation:

Let the sum is x.

The rate of interest, r=20%=0.2

Time, t=2 years.

Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]

The value of n when compounded annually, n=1

So, the total amount,

[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]

The compound interest when compounded annually,

[tex]I_1 =x(1.2)^2-x[/tex]

The value of n when compounded semi-annually, n=2

So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]

The compound interest when compounded semi-annually,

[tex]I_2 =x(1.1)^4-x[/tex]

As the difference between the annual and semi-annual compound interest on  x amount of money is Rs 482, so

[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]

x=20000

Hence, the sum is Rs 20000.

Answer:

D

Step-by-step explanation:

P prime of t indicates a rate of change

The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5

Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

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Answer:

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Option D: f(a) = 2a²+2a-4 is the correct answer.

Step-by-step explanation:

Given that:

f(x)=2x²+2x-4

We will check the function at the given value;

A. f(0)

Putting x=0 in given function

f(0) = 2(0)²+2(0) - 4

f(0) = 0+0-4

f(0) = -4

B. f(-1)

Putting x=-1

f(-1) = 2(-1)²+2(-1)-4

f(-1) = 2(1) -2-4

f(-1) = 2-6

f(-1) = -4

C. f(b+1) = 2b²+6b-4

Putting x=b+1

f(b+1) = 2(b+1)²+2(b+1)-4

f(b+1) = 2(b²+2b+1)+2b+2-4

f(b+1) = 2b²+4b+2+2b+2-4

f(b+1) = 2b²+6b

D. f(a) = 2a²+2a-4

Putting x=a

f(a) = 2(a)²+2(a)-4

f(a) = 2a²+2a-4

Hence,

Option D: f(a) = 2a²+2a-4 is the correct answer.

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Speed = Distance/Time

andre: 2km/15min = 4.97097

jada: 3km/20min = 5.59234

jada ran faster

Answer:

the answer is b

Step-by-step explanation:

Answer:

D i believe

Step-by-step explanation:

hope this helped!!!

-BB

Answer:

9 rings

Step-by-step explanation:

Given that :

Number of days until craft sale = 91 days

Number of rings required to make before sale = 817 rings

If same number of rings is made per day;

Number of Daily ring production will be ;

817 / 91

= 8.978 rings

= 9 rings (approximately)

Answer:

$6.08

Step-by-step explanation:

8% = 0.08

76 × 0.08

= $ 6.08

Step-by-step explanation:

a(n) = a +(n-1)d

d=1/4 -1/2 =-1/4

°.° a(15) = 1/2 +(15–1) -1/4

a(15) = 1/2 -3.5

        =-3

hope it will help

Answer:

x=15

Step-by-step explanation:

Answer:

35 cm

Step-by-step explanation:

Diameter of small pizza = 16

Let Diameter of large pizza = x

Diameter of small pizza = 2/5(x) + 2

2/5(x) + 2 = 16

(2x / 5) + 2 = 16

2x / 5 = 16 - 2

2x / 5 = 14

multiply both sides by 5

2x = 14 * 5

2x = 70

Divide both sides by 2

x = 70/2

x = 35

Diameter of large pizza = 35 mm

The answer is 50 hope this helps you!

Answer: 200

Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

Answer:

42 gifts.

Step-by-step explanation:

14/2=7

7*6=42

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

Answer:

Answer: B.-1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = 13 → (1)

x - y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

solution is (3, 7 ) → A

Answer:

Step-by-step explanation:

2x+y=13

x - y =-4 lets add both equations

3x=13-4

x=9/3    ,   x=3

3-y=-4,   y=7

choice A

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

-6x       -6x

-8 = -2x

-----------

    -2

x = 4