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3 years ago

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

3 0

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

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Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min

Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ represents difference of two y-coordinates,

$x_2-x_1$ represents difference of two corresponding x-coordinates of y-coordinates.

Let $(6,-20.4)$ be $(x_1,y_1)$ and $(9,-27.6)$ be $(x_2,y_2)$ .

$m=\frac{-27.6-(-20.4)}{9-6}$

$m=\frac{-27.6+20.4}{3}$

$m=\frac{-7.2}{3}$

$m=-2.4$

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

$y=mx+b$ , where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

$-20.4=-2.4(6)+b$

$-20.4=-14.4+b$

$-20.4+14.4=-14.4+14.4+b$

$-6=b$

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is $-6$ meters.

6 0

3 years ago

Read 2 more answers

If f(x) = 5x − 1 and g(x) = 2x2 + 1, what is the value of (f × g)(-3)?

sineoko [7]

f(x)=10x to the power of two +4

3 0

3 years ago

Read 2 more answers

Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)

wlad13 [49]

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

7 0

3 years ago

barry has 18 more marbles than heidi.if barry has 92 marbles,write and solve an equation to determine the number of marbles heid

Basile [38]

N= Heidi's marbles
92 - n =18 (Barry's 92 marbles - whatever Heidi has = 18 marbles difference)

92 -n +n = 18 +n (I added n to each side)
92 = 18+n
92 -18 = 18-18 + n (I subtracted 18 from both sides)
74 = n Heidi has 74 marbles

4 0

3 years ago

In how many months will the total cost of both options be the same? What will that cost be?

gregori [183]

If you make yourself a monthly expense chart:
   Months
<u> 1 2    3 4    5    6 7    8    9    10</u>
Opt 1 -80    -30    -30    -30    -30 -30    -30    -30 -30    -30
Opt 2 -40 -40    -40    -40 -40    -40    -40    -40    -40 -40

By month 5 the total amount spent for Opt 1 is $200 and Opt 2 is $200

For part two add up the values for each all the way up to month 9.
Option 1: 80 + 30(8) = 80 + 240 = 320 spent
Option 2: 40(9) = 360 spent

So option 1 is cheaper by month 9

7 0

3 years ago