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pentagon [3]
3 years ago
12

If 3p+4q=8 and 4p+3q=13, what is q equal to?

Mathematics
1 answer:
alexira [117]3 years ago
8 0
Q= -1. I did this problem by elimination, by multiplying the first one by -4 and the second by 3, to cancel out the p. I ended up with -7q=7. I divided both sides by -7, and got q=-1. 
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"Ten subtracted from the quotient of a number and<br>7 is less than -6.​
RideAnS [48]
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solved, it would be x < 28
5 0
3 years ago
What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
  • Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
3 years ago
Two liters of water are poured into an empty vase shaped like an octagonal prism. The base area is 100 square centimeters. What
Molodets [167]

Answer: Height of the water is 20 cm.

Step-by-step explanation:

Since we have given that

Base area = 100 square cm

volume of vase shaped  like an octogonal prism = 2 liters

We need to find the height of water.

and 1 liter = 1000 cm³

2 liters = 2×1000 cm³

As we know the formula for "Volume":

Volume=\text{Base Area}\times height\\\\2\times 1000=100\times height\\\\height=\dfrac{2000}{100}\\\\height=20\ cm

Hence, height of the water is 20 cm.

4 0
3 years ago
A?<br> B?<br> C?<br> D? <br><br> Number 10 on conexus &lt;3<br> If correct I’ll give brainlest
ZanzabumX [31]
D lol exactly yiu yeah arte yr
4 0
2 years ago
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3 0
3 years ago
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