All categories

3 years ago

Please help me out with this.......

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

y = 0.5x + 5

Step-by-step explanation:

The equation is in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given the ordered pair (0, 5 ) then c = 5

Calculate the multiplier using the slope formula

with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table

m = $\frac{6-5}{2-0}$ = 0.5, hence

y = 0.5x + 5 ← equation relating x and y

You might be interested in

During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

$f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}$

8 0

3 years ago

Which of the following points lies on the graph of y=x^2-5?

grandymaker [24]

Answer:

(3, 4)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

a boat row a boat using a long pole of length 5.30m.when he holds the pole vertically at a particula point in the water such tha

nlexa [21]

Answer:

0.2 × 5.3 = 1.06

3 0

11 months ago

What is the change in the y-values and x-values on the graph? a. The change in the y-values is 40 and the change in the x-values

earnstyle [38]

Answer:

In this question there is a change of two things

time
temperature

6 0

3 years ago

Read 2 more answers

In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo

AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080-112

11x = 968

x = 968/11

x = 88 degrees

Get the middle angle y;

Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

5 0

3 years ago