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jonny [76]
2 years ago
7

Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $

3, and a pencil costs $1. Which graph represents this scenario?
Mathematics
1 answer:
Olin [163]2 years ago
5 0
Number of pencils x

number of pens y

3x + y = 10
x ≤ y

Draw the line 3x + y = 10 .[it passes by (0,10) and (-10/3,0)

Draw the line y=x [it passes by (0,0), (1,1), (2,2) etc]

Then the solution is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).



 
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Hoochie [10]
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State the hundred thousands place for 7,832,906,215
juin [17]

Answer:

Step-by-step explanation:

6 is the thousands place

0 (right next to it) is the 10 thousands place

9 is the hundred thousands place. There is only 1 nine present so the answer is unique.

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NEED HELP PLEASE IM BEGGING YOU !!!!!<br> I NEED HELP WITH 6 AND 7 PLEASE
stepladder [879]

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10

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3 years ago
Use the Quadratic formula to find all real zeros of the 2nd degree polynomial
schepotkina [342]

Answer:

  x ∈ {-5, -1}

Step-by-step explanation:

Here's the solution using the quadratic formula:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-24\pm\sqrt{24^2-4\cdot 4\cdot 20}}{2\cdot 4}\\\\=\dfrac{-24\pm\sqrt{576-320}}{8}=\dfrac{-24\pm\sqrt{256}}{8}\\\\=\dfrac{-24\pm 16}{8}=-3\pm 2=\{-5,-1\}

The real zeros are -5 and -1.

_____

There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.

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2 years ago
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Alexandra [31]

Answer:

D

Step-by-step explanation:

((p^4*q)/p^8)^2.

p^4/p^8=p^(4-8)=p^-4=1/p^4

(q/p^4)^2=(q^2/p^8)

4 0
3 years ago
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