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3 years ago

Consider the derivation of the quadratic formula below. What is the missing radicand

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

$\frac{b^2 - 4ac}{4a^2}$

Step-by-step explanation:

Given

See attachment for complete question

Required:

Complete step 6

At step 5, we have:

$(x + \frac{b}{2a})^2 = \frac{b^2}{4a^2} - \frac{4ac}{4a^2}$

Take LCM

$(x + \frac{b}{2a})^2 = \frac{b^2 - 4ac}{4a^2}$

Take square roots of both sides to get step 6

$x + \frac{b}{2a} = \±\sqrt{\frac{b^2 - 4ac}{4a^2}}$

Hence, the missing radicand is: $\frac{b^2 - 4ac}{4a^2}$

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Which function will have a y-intercept at –1 and an amplitude of 2?

Angelina_Jolie [31]

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

$h(x)=A\sin (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

The general form of cosine function

$h(x)=A\cos (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

In function, $f(x)=-\sin x-1$

Amplitude : $|A|=1$

y-intercept : -1

In function, $f(x)=-2\sin x-1$

Amplitude : $|A|=2$

y-intercept : -1

In function, $f(x)=-\cos x$

Amplitude : $|A|=1$

y-intercept : 0

In function, $f(x)=-2\cos x-1$

Amplitude : $|A|=2$

y-intercept : -1

Therefore, the correct options are B and D.

4 0

3 years ago

Read 2 more answers

What is 50 + 100 - 150 x 2

Black_prince [1.1K]

Answer:150

Step-by-step explanation:50 + 100=150 150 - 300=150

8 0

3 years ago

Read 2 more answers

6(m-1)=3(3m+5)<br> what does m=

love history [14]

Answer:

m = - 7

Step-by-step explanation:

Given

6(m - 1) = 3(3m + 5) ← distribute parenthesis on both sides

6m - 6 = 9m + 15 ( subtract 9m from both sides )

- 3m - 6 = 15 ( add 6 to both sides )

- 3m = 21 ( divide both sides by - 3 )

m = - 7

8 0

3 years ago

How to do this question plz answer me step by step plzz plz

Iteru [2.4K]

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find $100-4.5=95.5$ % of 14132.77.

We can easily do this by setting up a proportion.

$\frac{x}{14132.77} = \frac{95.5}{100}$

Multiply 14132.77 by 95.5:

$14132.77\cdot95.5=1349679.535$

Divide by 100:

$1349679.535\div100=13496.79535$

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

4 0

3 years ago

High School Pre Cal

krok68 [10]

We know that
1) Sandra can run a mile in 6 minutes-------> 6*60-----> 360 sec
2) 4 laps around the track equals 1 mile
so
4 laps around the track in 360 sec
1 lap in 360/4--------> 90 sec
3) the position of Sandra for t=90 sec must be equal to the point S (0,56)
I proceed to analyze each case for t=90 sec

case a) x(t)=-140 cos(pi*t/45) y(t)=112 sin(pi*t/45)
x(t)=-140 cos(pi*90/45)------> -140
y(t)=112 sin(pi*90/45)-------> 0
the position is the point (-140,0)------> is not the point S

case b) x(t)=140 sin(pi*t/90) y(t)=-112 cos(pi*t/90)
x(t)=140 sin(pi*90/90)------> 0
y(t)=-112 cos(pi*90/90)-------> 112
the position is the point (0,112)------> is not the point S
<span>
case c) x(t)=-70 sin(pi*t/45) y(t)=56 cos(pi*t/45)
</span>x(t)=-70 sin(pi*90/45)------> 0
y(t)=56 cos(pi*90/45) -------> 56
the position is the point (0,56)------> is equal to the point S----> is the solution

case d) x(t)=70 cos(pi*t/90) y(t)=-56 sin(pi*t/90)
x(t)=70 cos(pi*90/90)------> -70
y(t)=-56 sin(pi*90/90)-------> 0
the position is the point (-70,0)------> is not the point S

therefore

the answer is the option C
x(t)=-70 sin(pi*t/45) y(t)=56 cos(pi*t/45)

7 0

3 years ago