A line that is parallel to the graph of y=1/2+6 with a y-intercept of(0,-2)

PLEASE ANSWER THIS ALSO!!!

Oxana [17]

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

Given equation is,

-3x + 7 = -5 + x

-3x + 7 - 7 = -5 + x - 7

-3x = -5 + x - 7 Option (C)

-3x = x - 12

-3x - x = -12

-4x = -12 Option (A)

4x = 12 Option (E)

$\frac{4x}{4}=\frac{12}{4}$

x = 3

Therefore, Options (A), (C) and (E) are the correct options.

6 0

2 years ago

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba

Ivanshal [37]

The probability that the card is not yellow is $\frac{5}{9}$

Solution:

The probability of an event is given as:

$Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}$

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

$Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}$

Thus the probability that the card is not yellow is 5/9

8 0

3 years ago

Read 2 more answers

A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.

Tju [1.3M]

$ 1850 was invested in 9% account

Solution:

Given that

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493

=> y = 9493 - x ------(1)

$\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}$

$\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}$

As total interest earned = $930.80

$\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}$