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Mazyrski [523]
3 years ago
12

Find the equation of the line that is parallel to the line y=-3x-7 and passes through the point (1,2). Write an equation in slop

intercept form
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x-7

slope is -3

parallel lines have the same steepness, they have the same slope.  The slopes are equal.

y-y1=m(x-x1)

y-2=-3(x-1)

y-2=-3x+3

y=-3x+3+2

y=-3x+5

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Sara had 94 dollars to spend on 8 books. After buying them she had 14 dollars. How much did each book cost
cestrela7 [59]

Answer: $10

Step-by-step explanation:

Let's analize the information given: We know that  she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:

Total\ spent=\$94-\$14\\Total\ spent=\$80

Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

cost\ of\ each\ book=\frac{Total\ spent}{8}\\\\cost\ of\ each\ book=\frac{\$80}{8}\\\\cost\ of\ each\ book=\$10

3 0
3 years ago
Rock can read 10 books in 30 minutes.how long does it take rock to read 15 books,if the speed is consistant.
vazorg [7]
10book=30mins
divide 10
1book=3mins

time=(time to read 1 book) times (number of books)
time to read 1 book=3 mins
15 books
15 books=15 times 3mins
15books=45mins

45 mins
7 0
3 years ago
Read 2 more answers
A quickie. If n identical dice are rolled, number of possible outcomes are?
nata0808 [166]
In rolling one die, there are 6 possible outcomes because each die has 4 faces. The number of outcomes when rolling n dice is equal to 6^n. By this, the number of outcomes when 2 dice are rolled is 36, 216 for 3 dice, and so on. 
4 0
3 years ago
Please help meee! :< An author receives $0.60 for each hardcover book or paperback book that is sold. There were x hardcover
rusak2 [61]
D) 47,000

0.60 (<em>x</em>+38,000)= 51,000
(0.60<em>x</em>)+22,800= 51,000
51,000-22,800= 28,200
28,200÷0.60= 47,000
0.06 (47,000+38,000)= 51,000
28,200+22,800= 51,000
5 0
3 years ago
A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun
bija089 [108]

Answer:

3x^{3}+15x^{2}+x+5

Step-by-step explanation:

We are told that the area of the bag can be represented by the function f(x)=3x^{2} +1 and as the bag is raised up its height can be represented by the function g(x)=x +5.

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.  

\text{Volume of collapsible bag}=f(x)*g(x)  

\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)

After using distributive property we will get,

\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)

\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5

Therefore, the collapsible bag can hold 3x^{3}+15x^{2}+x+5 grain.

6 0
3 years ago
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