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3 years ago

Which equation represents the graphed function?

Mathematics

2 answers:

makvit [3.9K]3 years ago

8 0

The equation y = –2 x + 3 represents the graphed function.

Answer: Option A

<u>Step-by-step explanation:</u>

As per the mapping points in the attached figure, A (0, 3) and B (1, 1)

Step 1: Find the slope of the line.

We know that the formula to calculate the slope between two points is equal to

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

$\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(1,1)$ . So, the slope ‘m’ would be

$m=\frac{1-3}{1-0}=-2$

Step 2: Find the y-intercept

We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)

Step 3: Find the equation of the line into slope-intercept form

We know that the equation of the line into slope-intercept form is equal to

y = m x + b

We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get

y = - 2 x + 3

klasskru [66]3 years ago

4 0

Answer:A

Step-by-step explanation:

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Wha bout dis one????/

PolarNik [594]

6-3=3, so m=3. Easy as pie

5 0

2 years ago

The table shows some values of a function of the form y = ax2 + bx + c.

natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0

3 years ago

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =

Ludmilka [50]

Answer:

Step-by-step explanation:

let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

6 0

3 years ago

Please help quickly! no bots!

Sliva [168]

Answer:

Question 2: 4th answer, Question 3: 3rd answer

Step-by-step explanation:

I think that is correct hope it helps!

3 0

2 years ago

Read 2 more answers

A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower tha

kodGreya [7K]

Answer:

D. The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).

The hypothenus is the distance travelled by the plane which is 83 meters (h)

The height of the tower is 98 Meters

We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.

According to Pythagorean theorem

(x^2) + (y^2) = h^2

y = √ (h^2) - (x^2)

y = √ (83^2) - (42^2)

y= √(6889 - 1764)

y= 71.59 Meters

The height from the plane's position to the top of the tower will be

Height difference = 98 - 71.59 = 26.41 Meters

So the plane should go about 27 Meters higher to clear the tower

5 0

3 years ago