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bearhunter [10]
3 years ago
13

Create a list of steps, in order, that will solve the following equation. 1/ 4 ( x + 5 )^2 − 1 = 3

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

x= -1, -9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/4x2+5/2x+21/4=3

Step 2: Subtract 3 from both sides.

1/4x2+5/2x+21/4−3=3−3

1/4x2+5/2x+9/4=0

For this equation: a=0.25, b=2.5, c=2.25

0.25x2+2.5x+2.25=0

Step 3: Use quadratic formula with a=0.25, b=2.5, c=2.25.

x=−b±√b2−4ac/2a

x=−(2.5)±√(2.5)2−4(0.25)(2.25)/2(0.25)

x=−2.5±√4/0.5

x=−1,−9

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Move points A and B to different locations on the coordinate plane to change the length and slope of . (Pick a slope that is not
Gelneren [198K]

Answer:

a left b right

Step-by-step explanation:

i did the test

4 0
3 years ago
The vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function h(t)=15-10t-16t^2, wh
olga55 [171]
I don't know for sure, but I think there might be an error in the way you copied your function. In all of my dealings with these types of problems, I have learned the formula to be h(t) = 15 + 10t - 16t^2. Notice the plus in front of the "10t". This is due to the fact that if he pushes off of the overhang he would have an upward force of 10 feet per second as soon as his feet left the ground. The only thing pulling him back to Earth is gravity, modeled by the "-16t^2". This is derived from a bit of slightly advanced physics involving the gravitational constant, but let's work under my formula for a second...

Either way, we will wind up using the Quadratic Formula (or possibly factoring if the numbers are easy enough to work with). So let's start. 

h(t)= 15 +10t - 16t^2

In order to use the QF or factoring I will need to make h(t)=0. Simply done by:

0= 15 +10t -16t^2

Looking at the numbers, I'd prefer to use the QF so here it is:

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

I know that my answer will need to be positive since you can't have a negative value when dealing with time, so I will eliminate the positive sign from the "+or-" part leaving me with:

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

And I know that a= -16, b= 10, and c=15. So all that's left to do is substitute and solve.

x= \frac{-10 -\sqrt{-16^{2}-4*-16*15 } }{2*-16} 

There's a decent amount of math that would be difficult and sloppy for me to do over the computer, but all you need to do is solve the rest of the equation and you would get your answer.

Exact answer: \frac{5-4 \sqrt{15} }{8} or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

7 0
3 years ago
Read 2 more answers
eugheugh eughhhh I've been listening to my comfort playlist stressing about this test for too long Please just help ;-;
Kaylis [27]

Answer:

2 and 4 are correct

Step-by-step explanation:

1 is incorrect because 4/5 being bigger than 7/10

3 is incorrect because 2/3 is more than 5/9

6 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
The sales tax in your state is 5% if a car costs $24,600 what is the total cost including tax?
Svetach [21]
<h2>Greetings!</h2>

Answer:

$25830

Step-by-step explanation:

If 100% of the car price is 24,600 , then you can imagine that extra 5% being added to this

100 + 5 = 105

So you need to find what 105% of the cost was.

To do this you can use the percentage formula:

Amount x \frac{percentage}{100}

Now, you can simply plug the values into this

24,600 x \frac{105}{100}

24600 x 1.05 = 25830

<h3>So the total cost including tax would be $25830!</h3><h3 /><h2>Hope this helps!</h2>
7 0
3 years ago
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