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Masja [62]
2 years ago
12

True or false: the following equation is in standard form. (x - 4.2)^2 - 3 = 0

Mathematics
1 answer:
natita [175]2 years ago
3 0

Answer:

false

Step-by-step explanation:

standard form cannot contain fractions or decimals

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What is the value of n in the simplified expression? (4k7)3= 4n ·(k7) 3= 64k21
Nesterboy [21]
Given:
(4k⁷)³ = 4n(k⁷)³

Note that (aˣ)ⁿ = aˣⁿ

Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16

Answer: n = 16

5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.
12345 [234]
<h3><u>Question:</u></h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3><u>Answer:</u></h3>

The length of rectangle is 10.5 units

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

<em><u>The perimeter of rectangle is given by formula:</u></em>

Perimeter = 2(length + width)

<em><u>Substituting the values we get,</u></em>

34 = 2(L + 6.5)

Thus the equation is found

<em><u>Solve for "L"</u></em>

L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5

Thus length of rectangle is 10.5 units

6 0
3 years ago
If f(x)=square root x-3, which inequality can be used to find the domain of f(x)? A square root x-3 =&gt;0 B x-3=&gt;0 C square
ser-zykov [4K]
Hello : 
f(x) = √(x-3)
answer: B     x-3 <span>≥ 0</span>
7 0
3 years ago
Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$ Pls help.
nirvana33 [79]

Answer:

-56/9

Step-by-step explanation:

By Vieta's formulas,

$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get

$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,

$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$

5 0
3 years ago
I need help on question 35
Novay_Z [31]
Pretty sure it's everything except irrational
5 0
3 years ago
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