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3 years ago

If scott does 3 pushups everyday and starts at 2 on the first day how many does he do on day 30

Mathematics

1 answer:

Katarina [22]3 years ago

8 0

Answer:

Step-by-step explanation:

3 x 30 - 1 (because he did 2 instead of three)

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Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave

ipn [44]

Here all the given equations are in the form of

$ax^2+bx+c=0$

The value of $x$ can be determined by the perfect square method as follows:

$ax^2+bx+c=0$

$\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0$

$\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0$

$\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}$

$\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)$

Now, for $x^2+3x-4=0$

$a=1, b=3, c=-4$

So, from equation (i)

$x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}$

$\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}$

$\Rightarrow x=\frac{3\pm5}{2}$

$\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}$

$\Rightarrow x= 4, -1$

Similarly, for $9x^2+12x+4=0$

$a=9, b=12, c=4$

So, from equation (i)

$x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}$

$\Rightarrow x=\frac{-12\pm0}{18}$

$\Rightarrow x=\frac{-2}{3}$

For $x^2-2x-3=0$

$a=1, b=-2, c=-3$

$x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}$

$\Rightarrow x=\frac{2\pm\sqrt{16}}{2}$

$\Rightarrow x=\frac{2\pm4}{2}$

$\Rightarrow x=\frac{6}{2},\frac{-2}{2}$

$\Rightarrow x=3.00, -1.00$

For $x^2-6x+9=0$

$a=1, b=-6, c=9$

$x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}$

$\Rightarrow x=\frac{6\pm0}{2}$

$\Rightarrow x=3.00$

For $2x^2-4x-3=0$

$a=2, b=-4, c=-3$

$x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}$

$\Rightarrow x=\frac{4\pm\sqrt{40}}{4}$

$\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}$

$\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}$

$\Rightarrow x=2.58, -0.58$

5 0

4 years ago

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player

Rina8888 [55]

y= is the dependent quanty=the amount virtual money that a player.
x=is the indepennt quanty=number of races won.

This function represents the amount of virtual money
y=500x+5000

8 0

3 years ago

Read 2 more answers

4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn

vodomira [7]

The probability of drawing exactly one red ball is given by:
$P(1\ red\ ball)=\frac{4C1\times4C1}{8C2}=\frac{16}{28}$
the probability of drawing two red balls is given by:
$P(2\ red\ balls)=\frac{4C2\times4C0}{8C2}=\frac{6}{28}$
The probability of drawing at least one red ball is:
P(1 red ball) + P(2 red balls) = 16/28 + 6/28 = 11/14.
The answer is $\ \frac{11}{14}$

7 0

4 years ago

Find the value of (x^2-5x + 4) if x = 7.

Alina [70]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If c = 4, evaluate the following expression: <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bc%7D%20" id="TexFormula1" title=

mash [69]

Answer:

2 is the answer

Step-by-step

6 0

2 years ago