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3 years ago

How many solutions does the system of equations have?

1 answer:

5 0

5x - 20y = 60...reduce by dividing by 5
x - 4y = 12
this is the same as the other equation....therefore, it is the same line...meaning infinite solutions
=============
y - 7x = -14
y = 7x - 14.....slope = 7, y int = -14

7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7.....slope is 7, y int is -2/7

if the slopes are the same, but the y int are different, then u have a parallel lines with no solutions

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Find the value of (a+b)^2 if a^2+b^2=10 and ab=3

seropon [69]

Answer:

(a+b)^2 if a©+2b

Step-by-step explanation:

i not sure

6 0

3 years ago

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A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes = $\frac{9}{15}=\frac{3}{5}=0.6$

4 0

3 years ago

Which is the graph of f(x) = 4^x?

creativ13 [48]

Answer:

the first graph!!

5 0

3 years ago

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If the simple interest on $3,000 for 8 years is $1,680, then what is the interest rate?

madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...

8 0

3 years ago

(5x^4-2x^3-7x^2-39)÷(x^2+2x-4)

lana [24]

Using the Polynomial Division: Divide 5 $x^{4}$ −2 $x^{3} -7x^{2} -39 by x^{2}$ +2x−4 using long polynomial division.

Answer to the Polynomial Division: $5x^{2} -12x+37+\frac{-122x+109}{x^{2}+2x-4}$

4 0

3 years ago