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sveta [45]
3 years ago
8

Write the equation in standard form x(2x+3)= x^2+1​

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:2x with and exponent of 3 -9x with and exponent of 2 +7x +6

Step-by-step explanation:

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Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
natima [27]

 

\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

.

\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

5 0
3 years ago
The linear regression method seeks to predict values of a(n) variable based on values of a(n) variable.
leva [86]

The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

According to the statement

we have to explain the linear regression method and explain the way by which this method is used to predict the values.

So, For this purpose we know that the

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

And

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.

So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n)  independent variable.

Learn more about Linear regression here brainly.com/question/25987747

#SPJ4

5 0
2 years ago
Find the percent of change from $40 to $50.
andrezito [222]

Answer:

125%

Step-by-step explanation:

so you are increasing by $10, and $10 is 25% of $40, so the percent change is 125%

3 0
3 years ago
Read 2 more answers
Write the expression below as a single logarithm in simplest form.<br> logo 7 – log, 7
Svet_ta [14]

Given:

The given expression is:

\log_b7-\log_b7

To find:

The single logarithm expression for the given expression.

Solution:

Quotient property of logarithm:

\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)

We have,

\log_b7-\log_b7

Using quotient property of logarithm, we get

\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)

\log_b7-\log_b7=\log_b\left(1\right)

Therefore, the required expression is \log_b\left(1\right).

5 0
3 years ago
Pls help WILL GIVE BRAINLIST
myrzilka [38]

Answer:

<u>135.94 feet</u>

Step-by-step explanation:

Split the problem into two parts :

  1. Distance between viewer and building
  2. Height of the top part of the building

<u>Distance between viewer and building</u>

  • The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
  • Let the distance be called 'd'
  • Therefore, tan37° = 40/d
  • tan37° = 3/4 = 0.75
  • ⇒ 40/d = 0.75
  • ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

<u>Height of the top part of the building</u>

  • Let the height of the top part be 'h'
  • Therefore, tan61° = h/d = h/53.3
  • tan61° = 1.8
  • ⇒ h/53.3 = 1.8
  • ⇒ h = 53.3 x 1.8 = 95.94 feet

<u>Total height of building</u>

  • Lower part + Top part
  • 40 + 95.94
  • <u>135.94 feet</u>

<u />

3 0
2 years ago
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