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Zinaida [17]
3 years ago
7

Find the x-intercepts for the parabola defined by the equation below. y = 3x2 + 18x + 15

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
Using quadratic formula
x = [-18 +-sq root (324 -4 *3*15)] / 2*3
x = [-18 +-sq root (144)]/6
x1 = (-18 + 12) / 6 = -1
x2 = (-18 -12) / 6 = -30/6 = -5

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Solve the following equations mentally 1. 5 – x = 8 2. -1 = x – 2 3. -3x = 9 4. -10 = -5x
Ghella [55]

Answer:

1. 5 – x = 8 , x = -3

2. -1 = x – 2 , x = 1

3. -3x = 9 , x = -3

4. -10 = -5x , x= 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why is it mathematically legal to multiply 2 √ 2 by √ 2 √ 2 in order to rationalize the denominator?
Gala2k [10]
Well if you're referring to rationalizing \bf \cfrac{2}{\sqrt{2}}, which simply means, getting rid of the pesky radical at the bottom

well, it boils down to, hmm say... a quantity or even a polynomial, multiplied times 1, is itself, 2*1=2, 3*1 = 3, ducks*1 = ducks, spaghetti * 1 = spaghetti

or whatever * 1 = whatever
and the value of the multiplicand, doesn't change in anyway, is the same thing before and after the multiplication by 1

now....1 can also be a fraction  \bf \cfrac{2}{2}=1\qquad \cfrac{3}{3}=1\qquad \cfrac{1,000,000}{1,000,000}=1
\\\\\\
\cfrac{ducks}{ducks}=1\qquad \cfrac{spaghetti}{spaghetti}=1\qquad \cfrac{cheese}{cheese}=1
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\cfrac{\textit{the quick fox jumped}}{\textit{the quick fox jumped}}=1\qquad \cfrac{whatever}{whatever}=1

so.. when you're doing \bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\iff \cfrac{2}{\sqrt{2}}\cdot1

and the value multiplicand doesn't change in any way

now, try this in your calculator  \bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}\\\\
-----------------------------\\\\
\textit{check how much is }\cfrac{2}{\sqrt{2}}\textit{ in your calculator}
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\textit{then check how much is }\sqrt{2}\textit{ in it}
6 0
3 years ago
Tell whether x and y show direct variation. Explain your reasoning. x=y+2
Mashutka [201]

Answer:

It does not show variation

Step-by-step explanation:

Given

x = y + 2

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

y = kx

Make y the subject of formula in the given parameters;

x = y + 2

y = x - 2

Compare y = x - 2 to y = kx

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

6 0
3 years ago
34,977 ×2,344 is even are odd number
Contact [7]

Answer:

The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.

Step-by-step explanation:

6 0
3 years ago
List the base-5 numbers of the decimals 16 to 32.
zhenek [66]
18 20 22 24 26 28 30
7 0
3 years ago
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