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natka813 [3]
3 years ago
12

The equation of the straight line that passes through the points (0,0) and (1,4) is,

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Please refer to picture attached.

The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.

ella [17]3 years ago
5 0

Answer:

d

Step-by-step explanation:

The equation of a line which passes through the origin is

y = mx ( where m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)

m = \frac{4-0}{1-0} = 4 , thus

y = 4x → d

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PLEASE I NEED HELP! THANK YOU.
Elden [556K]

First set up a linear equation  and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

4 0
3 years ago
If a cylinder has a volume of 300 m3 and a radius of 5 m, what is its height (in meters)? (Round your answer to two decimal plac
nevsk [136]

The height of the cylinder is 3.82 m

2. The surface area is 316.5 ft²

The volume is 406.5 ft³

<h3>Calculating volume of a cylinder </h3>

The volume of a cylinder is given by the formula,

V = πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 300 m³

r = 5 m

h = ?

Putting the parameters into the formula, we get

300 = π × 5² × h

300 = π × 25× h

∴ h = 300/25π

h = 3.82 m

Hence, the height of the cylinder is 3.82 m

2.

Diameter = 6 feet 6 inches = 6.5 feet

∴ Radius = 3.25 feet

Height = 12 feet 3 inches = 12.25 feet

Surface area of a cylinder is given by

Surface area = 2πr(r + h)

Where r is the radius

and h is the height

Surface area = 2π×3.25(3.25 + 12.25)

Surface area = 316.5 ft²

For the volume

V = πr²h

V = π × 3.25² × 12.25

V = 406.5 ft³

Hence, the volume is 406.5 ft³

Learn more on Calculating the volume of a cylinder here: brainly.com/question/9554871

#SPJ1

8 0
2 years ago
One Solution, Infinite Solutions, No Solution are the three options for both graphs
goblinko [34]

Answer:

The first one is infinite and the second one is one solution

6 0
3 years ago
The doubling time for an investment is 7.5 yeas. Find an exponential model for the growth of your money. Then find how long will
gayaneshka [121]

Answer:

The correct answer is "17.414 years".

Step-by-step explanation:

Given:

Doubling time,

= 7.5 years

As we know,

P(t) = P_oe^{rt}

now,

⇒ 2P_o=P_o e^{r\times 7.5}

       2 = e^{r\times 7.5}

       r = \frac{ln2}{7.5}

          =0.092

          =9.2%

then,

⇒ P(t) = P_o e^{0.092 t}

here,

P(t) = 5P_o

hence,

⇒ 5P_o = P_o e^{0.092 t}

e^{0.092t}=5

        t = \frac{ln5}{0.092}

          =17.414 \ years        

6 0
3 years ago
I need help on this
mamaluj [8]

for how many digits is rounding required to occur?

if it's one digit, it should be 70,000 and 20,000

if it's two digits it would be 75,000 and 23,000

if it's three digits it would be 74,700 and 22,900

if it's four digits it would be 74,710 and 22,980

7 0
3 years ago
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