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julsineya [31]
4 years ago
11

Can someone figure out the problem in this image?

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
7 0
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)

Re-write both sides:
3^(4x-5) = 3^(-6x - 30)

from here, you can solve x 

4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
    x = -2.5
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The radius of a circle is 4 in what is the diameter and the circumference?
Anna007 [38]

Answer:

diameter is 8 circumference is 25.12

Step-by-step explanation:

3 0
3 years ago
Simply (tan^2 x - sec^2 x)(sin^2 x + cos^2 x)
kati45 [8]

we can use pythagorean identieis

remember that sin^2(x)+cos^2(x)=1

also remember that tan(x)=\frac{sin(x)}{cos{x}} and sec(x)=\frac{1}{cos(x)}

so if we take sin^2(x)+cos^2(x)=1 and divide both sides by cos^2(x) we get

\frac{sin^2(x)}{cos^2(x)}+\frac{cos^2(x)}{cos^2(x)}=\frac{1}{cos^2(x)}

(\frac{sin(x)}{cos(x)})^2+1=(\frac{1}{cos(x)})^2

tan^2(x)+1=sec^2(x)

subtracting 1+sec^2(x) from both sides

tan^2(x)-sec^2(x)=-1

now subsitute into original problem


\frac{tan^2(x)-sec^2(x)}{sin^2(x)+cos^2(x)}=

\frac{-1}{1}=

-1

the answer is -1

6 0
3 years ago
NEED TO KNOW ASAP<br> Which of the following is a quadratic inequality?<br> Oy&lt;2x+7<br> Oy Oy
Burka [1]

Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

<h3>Identification</h3>

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.

For the following inequalities, the degree of the polynomial in x is shown:

  • y < 2x +7 . . . degree 1
  • y < x^3 +x^2 . . . degree 3
  • y < x^2 -5x . . . degree 2 (quadratic)

<h3>Application</h3>

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

<em>Additional comment</em>

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

8 0
2 years ago
The Walter family budgets the maximum amount of $124 for a camping trip. Mr. Walter already spent $40. How many people, x, can g
saul85 [17]
124-40=84     84/21=4   4=x    4 people can go
4 0
3 years ago
Read 2 more answers
Look at the equation below. How many solutions are there?<br><br> 2(3x+4)=6x+8)
SOVA2 [1]

Answer:

x∈R

Step-by-step explanation:

2(3x+4)=6x+8

Use the distributive property to multiply 2 by 3x+4.

6x+8=6x+8

Subtract 6x from both sides.

6x+8−6x=8

Combine 6x and −6x to get 0.

8=8

Compare 8 and 8.

True

This is true for any x.

x∈R

6 0
3 years ago
Read 2 more answers
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