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4 years ago

Hi, Please i need help with this question. Workings would be deeply appreciated .

Mathematics

1 answer:

kupik [55]4 years ago

8 0

Answer:

k = ⅕

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4) = a point on the line

(3k,0) = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

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Solve for p : 8=p/7 p=

Novay_Z [31]

Answer:

p = 56

Step-by-step explanation:

8 = p/7

from the expression above

use cross multiplication

p = 8 × 7

p = 56

3 0

4 years ago

If the greatest value of n is 8, which inequality best shows all the possible values of n? n < 8 n > 8 n ≤ 8 n ≥ 8

padilas [110]

The greatest value is 8, which means n can be either 8 or any number less than 8.

The inequality would be n is less than or equal to 8, which is written as:

n ≤ 8

6 0

3 years ago

If you add 5 to me and then divide by 9. you get 3 What number am I?

iris [78.8K]

Answer:

Step-by-step explanation:

22+5= 27

27/9=3

5 0

3 years ago

Shirley picked out a lite for $3.50 if she gave the family ten-dollar bill what is the fewest number of bills and coins that she

Reil [10]

Answer:

2 bills and 1 coin

Step-by-step explanation:

Given

$Lite = \$3.50$

Required

Fewest number of bills and coins she can get receive as change

FIrst, we need to calculate her change

Change = Amount Paid - Lite

$Change = \$10 - \$3.5$

$Change = \$6.5$

Next is to split the change to bills and coins

$\$6.5 = \$5\ bill + \$1\ bill + 50 cents$

The $5 and $1 makes 2 bills while the 50 cents makes 1 coin.

Hence, the minimum she could receive is 2 dollar bills and 1 coin as change

4 0

4 years ago

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7

Norma-Jean [14]

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

3 0

3 years ago