All categories

2 years ago

WITH GRAPH

Mathematics

1 answer:

Alexus [3.1K]2 years ago

6 0

Answer:

(0, -2) (Answer B)

Step-by-step explanation:

Recall that the y-axis represents x = 0. The blue line crosses (intercepts) the y-axis when x = 0. The corresponding y-coordinate is -2. Thus, the y-intercept is (0, -2), or just -2.

You might be interested in

Six students are running for the positions of president and vice-president, and five students are running for secretary and trea

horrorfan [7]

Using the permutation formula, it is found that there can be 600 winning combinations.

There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem:

For president and vice-president, 2 students are chosen from a set of 6.

For secretary and treasurer, 2 students are chosen from a set of 5.

Hence:

$T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600$

There can be 600 winning combinations.

More can be learned about the permutation formula at brainly.com/question/25925367

3 0

1 year ago

Radium-226 has a half-life of 1620 years. for a 150 gram sample, how many grams will remain after 200 years?

VashaNatasha [74]

Ah, yes

if you start with P amount of something and the half life is h units (in years) and the time elapsed is t (in years) then the amount left is A

the equation is
$A=P(\frac{1}{2})^\frac{t}{h}$

so
given
h=1620
P=150
t=200
so
$A=150(\frac{1}{2})^\frac{200}{1620}$
$A=150(\frac{1}{2})^\frac{10}{81}$
use your calculator
A≈137.69781917515g
about 138grams left

3 0

2 years ago

Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. The pretzel requires 2.

antoniya [11.8K]

I think you will do great

6 0

2 years ago

Help!! help!! help!! help!! help!! help!! help!! help!! help!!

oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

7 0

2 years ago

A cheese pizza from Pizza Pie is cut into eight equal pieces. When slices are sold individually, each slice costs $1.85. Let c r

andrezito [222]

multiply the amount of one piece with the number of pieces

1.85×8=14.8

5 0

1 year ago