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Alexeev081 [22]
3 years ago
11

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

ANSWER

a =  \frac{5}{16}

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

7 - 1.2a - (2a - 1) = 7

Expand:

7 - 1.2a - 2a  + 1= 7

Group similar terms:

- 1.2a - 2a = 7 - 7 - 1

- 3.2a =   - 1

Divide both sides by -3.2,

a =  \frac{ - 1}{ - 3.2}

a =  \frac{5}{16}

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GrogVix [38]
The answer is b I hope this helps
6 0
3 years ago
Plzz help me im struggling so bad
ASHA 777 [7]

the answer of the question is D

4 0
3 years ago
Find the inverse of the following function:
tigry1 [53]
First, we are going to find the inverse function of f(x) by replacing f(x) with y, and then, interchanging x and y and solving for x:
y=-2 \sqrt{3x-1} -5
x=-2 \sqrt{3y-1} -5
-2 \sqrt{3y-1} =x+5
\sqrt{3y-1} = \frac{x+5}{-2}
3y-1=( \frac{x+5}{-2} )^{2}
3y=( \frac{x+5}{-2} )^{2} +1
y= \frac{( \frac{x+5}{-2})^{2}+1  }{3}

Next we are going to evaluate our inverse function at x= \frac{1}{3}:
y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1  }{3}
y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1  }{3}
y= \frac{(- \frac{8}{3})^{2}+1  }{3}
y= \frac{ \frac{64}{9}+1 }{3}
y= \frac{ \frac{73}{9} }{3}
y= \frac{73}{27}

We can conclude that the inverse function of f(x)=-2 \sqrt{3x-1} -5 when x= \frac{1}{3} is \frac{73}{27}

5 0
3 years ago
Determine whether the degree of the function is even or odd and whether the function itself is even or odd.
Fynjy0 [20]

Answer:

There are Even, Odd and None of them and this does not depend on the degree but on the relation. An Even function: f(-x)=f(x) And Odd one: -f(x)=f(-x)

Step-by-step explanation:

1) Firstly let's remember the definition of Even and Odd function.

An Even function satisfies this relation:

f(-x)=f(x)

An Odd function satisfies that:

-f(x)=f(-x)

2) <u>Since no function has been given</u>. let's choose some nonlinear functions and test with respect to their degree:

f(x)=x^{2}-4, g(x)= x^{5}+x^{3}

f(x)=x^2 -4\Rightarrow f(-x)=(-x)^{2}-4\Rightarrow f(-x)=x^{2}-4\therefore f(x)=f(-x)

g(-x)=-(x^{5}+x^{3})\Rightarrow g(-x)=-x^{5}-x^{3}\Rightarrow g(-x)=-g(x)

3) Then these functions are respectively even and odd, because they passed on the test for even and odd functions namely, f(-x)=f(x) and -f(x)=f(x) for odd functions.

Since we need to have symmetry to y axis to Even functions, and Symmetry to Odd functions, and moreover, there are cases of not even or odd functions we must test each one case by case.

7 0
3 years ago
A group of 266 persons consist of men, women, and children. There are four times as many men as children. And twice as many wome
lara [203]

There are 152 men, 76 women and 38 children.

Step-by-step explanation:

Total persons = 266

Let,

men = m

women = w

children = c

According to given statement;

m+w+c=266    Eqn 1

m = 4c   Eqn 2

w = 2c   Eqn 3

Putting value of m and w from Eqn 2 and 3 in Eqn 1

4c+2c+c=266\\7c=266\\

Dividing both sides by 7

\frac{7c}{7}=\frac{266}{7}\\c=38

Putting c=38 in Eqn 2;

m=4(38)\\m=152

Putting c=38 in Eqn 1;

w=2(38)\\w=76

There are 152 men, 76 women and 38 children.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/3820433
  • brainly.com/question/3852778

#LearnwithBrainly

8 0
3 years ago
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