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Romashka-Z-Leto [24]
3 years ago
13

Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a s

ingle shipping charge of $2. How many books can he afford without spending more than his gift certificate amount?
Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

7 books

Step-by-step explanation:

make an equation

x = # of books each book is $4 so its 4x

the shipping fee no matter how many books he buys will be $2 so it's just 2

the equation looks like this:

4x + 2 = 30

we set equal to 30 cuz he can't spend more than $30

solve for x

4x = 30 -2

4x = 28

x = 7

Brett can buy no more than 7 books.

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What is the equation of the following graph in vertex form? HELP PLS
sammy [17]

Answer:

y = (x - 2)^2 + 1

Step-by-step explanation:

The general equation of a parabola in vertex form is y-k = (x-h)^2.  Here, we can see immediately from the graph that the vertex is at (2, 1).  Thus, the equation of this particular parabola takes the form y - 1 = a(x - 2)^2.  We must still determine the value of a.  Note that the graph goes through (0, 5).  Thus, 5 - 1 = a(0 - 2)^2, or

4 = 4a.  Thus, a = 1, and the equation of this parabola is y - 1 = (x - 2)^2, or, after simplification, y = (x - 2)^2 + 1.

6 0
3 years ago
Which of the following statements regarding Pascal's triangle are correct?
tia_tia [17]

Answer:

Option A, C and D are correct.

Step-by-step explanation:

Option A is correct because if we take example of (x+y)^3 we get:

     1,2,1

   1,3,3,1

  1,4,6,4,1

So we can see that either we read left to right or right to left we are getting same row

Option B is not correct because When we take power zero it will occupy first row hence, (x+y)^n  is not given by nth row.

Option C is correct because adding adjacent terms on a will give us the term directly below look at the example in option A.

Option D is correct because nth row will give coefficients in the expansion of (x + y) n-1 since, zero will occupy first row hence, nth row will be n-1.

5 0
3 years ago
Read 2 more answers
Any help to solve this problem. Provide steps. Thnx
Alekssandra [29.7K]

Answer:

284cm^2

Step-by-step explanation:

first, we split up the shape into seperate sections that we can easily find the areas of.

i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.

we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.

there are 2 of these, so 32 x 2 = 64cm^2.

now, i chose to seperarte the pentagon into a rectangle and a triangle,

and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.

the area of the rectangle is 150cm^2.

now, for the triangle.

the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.

8 + 7 = 15.

22 - 15 = 7.

now we know that the height of the triangle is 7 cm.

from earlier, we also know the base, which is 10cm.

7 x 10 = 70cm^2.

now we add all these together:

70 + 150 + 64 = 284cm^2

8 0
3 years ago
Read 2 more answers
James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much di
Charra [1.4K]

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

6 0
3 years ago
Answer asap please i don’t understand
Anna35 [415]

Answer:

11x+2y+21 x = 15

2x+3y+6z = -29

13x+9x+2x =22

Step-by-step explanation:

This is an augmented matrix

It is the coefficients of the variables and the last number is the constant

11x+2y+21 x = 15

2x+3y+6z = -29

13x+9x+2x =22

6 0
4 years ago
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