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2 years ago

How do I put -(x-4)^2 -1 into standard form

1 answer:

4 0

Standard form is ax²+bx+c

expand then simlify
-(x-4)²=-(x-4)(x-4)=-(x²-8x+16)=-x²+8x-16
now we gots
-x²+8x-16-1
-x²+8x-17 is standard form

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Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

3 0

3 years ago

Jen’s goal is to run a total of 22 miles in five days. The table below shows her log for the number of miles she ran on Monday,

Ronch [10]

Answer: 5.875 miles run on Friday to reach her goal by Jen

Step-by-step explanation:

Since we have given that

Part of distance covered on Monday by Jen is given by

$4\frac{3}{4}=\frac{19}{4}$

Part of distance covered on Tuesday by Jen is given by

$5\frac{1}{8}\\\\=\frac{41}{8}$

Part of distance covered on Wednesday by Jen is given by

Part of distance covered on Thursday by Jen is given by

$6\frac{1}{4}\\\\=\frac{25}{4}$

Total part of distance covered in these four days by Jen is given by

$\frac{19}{4}+\frac{41}{8}+0+\frac{25}{4}\\\\=\frac{38+41+0+50}{8}\\\\=\frac{129}{8}=16.125\ miles$

Remaining part of distance will be covered on Friday to reach her goal which is given by

$22-16.125=5.875\ miles$

Hence, 5.875 miles run on Friday to reach her goal by Jen.

5 0

3 years ago

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Write an integer for this situation <br><br> 1 . $50 deposit

Ierofanga [76]

50 i think i need points lol

6 0

3 years ago

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Each unit costs 14p how much does942 cost???????????????????????????????????????????????????????????????????????????????????????

Fynjy0 [20]

Answer:

13188

Step-by-step explanation:

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3 years ago

By what number should ( -5)(-1) be multiplied so that the product may be equal to (10)(-1)

Rudik [331]

Answer: -2

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7 0

2 years ago