4 years ago

If x + 5 = 15 then x = 10

Mathematics

2 answers:

77julia77 [94]4 years ago

6 0

Yes u are correct x is 10

8090 [49]4 years ago

6 0

Yes x equals 10. Hope this helps

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Given: F(x) = 5x - 6 and G(x) = x - 4

fomenos

Answer:

Correct choice is $\dfrac{x+26}{5}$

Step-by-step explanation:

1. If $F(x)=5x-6,$ then you can find the inverse $F^{-1}(x):$

$y=5x-6,\\ \\5x=y+6,\\ \\x=\dfrac{y+6}{5},\\ \\F^{-1}(x)=\dfrac{x+6}{5}.$

2. If $G(x)=x-4,$ then

$y=x-4,\\ \\x=y+4,\\ \\G^{-1}(x)=x+4.$

3. Hence,

$G^{-1}(F^{-1}(x))=G^{-1}\left(\dfrac{x+6}{5}\right)=\dfrac{x+6}{5}+4=\dfrac{x+26}{5}.$

7 0

4 years ago

Prove that <img src="https://tex.z-dn.net/?f=cos%209x-cos%205x%2Fsin17x-sin3x%3D-sin2x%2Fcos10x" id="TexFormula1" title="cos 9x-

maria [59]

Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x
so f(x) = $\frac{-2sin2x.sin7x}{2sin7x.cos10x}$ = $\frac{-sin2x}{cos10x}$

8 0

3 years ago

The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers

Usimov [2.4K]

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13

6 0

3 years ago

Factorize <br><img src="https://tex.z-dn.net/?f=a%20%7B%7D%5E%7B2%7D%20%20-%209b%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="

lakkis [162]

Answer:

(a - 3b)(a + 3b)

Step-by-step explanation:

a² - 9b²

(a)² - (3b)²

(a - 3b)(a + 3b)

3 0

3 years ago

Read 2 more answers

3) The average age of students at XYZ University is 24 years with a standard deviation of 8 years. Number of students at the uni

otez555 [7]

Answer:

0.1875

Step-by-step explanation:

σM=σ/√N

=8/√7500

=8/86.608

=0.092

Z=(x-μ)/σ/√N

=(25.5-36)/8/√7500

=-10.5/0.0092=-1141.304

Z score = -1.3125

=(27-36)/8/√7500 =

=9/0.0092=978.261

Z score= -1.125

-1.125-(-1.3125)=-1.125+1.3125)= 0.1875

The probability that the sample mean will be between 25.5 and 27 years

P(between 25.5 and 27) = 0.1875

3 0

3 years ago