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iris [78.8K]
3 years ago
5

Y-intercept oftheparabola y = x2 – 2x – 3

Mathematics
1 answer:
inessss [21]3 years ago
6 0
(X-3)(X+1)=0
X-3=0
X=3
X+1=0
X=-1
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A right triangle's height is 3 times the length of its base. if the area of the triangle is 600, what is the height?
Anon25 [30]
  <span>a = 1/2 x b x h 

h = 3b 

so 1/2 x b x 3b = (1/2)(3b^2) = 150 

(150 x 2)/3 = b^2 

100 = b^2 

b = square root of 100 = 10 

h = 3b = 3 x 10 = 30</span>
3 0
3 years ago
what is the greatest six digit number in which the thousands place is twice the digit in the tens place what is the least number
kotegsom [21]
998994 and 112111
This seems to be the best numbers
4 0
3 years ago
Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How
Scorpion4ik [409]

let's check how much is it after 2 years firstly.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275


Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}


\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}

4 0
3 years ago
Solve this equation: -3r -6(-7-10r)
blondinia [14]
Answer: 57r + 42

Step by step explanation:

-3r - 6(-7 - 10r)

Distribute -6 through the parenthesis

-3r + 42 + 60r

Collect the like terms

57r + 42
7 0
3 years ago
5(6-i)+(6-i)(3-i). show work.
Bumek [7]

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

4 0
3 years ago
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