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4 years ago

5 times the difference of 29 and a number is 215. Which equation below can be used to find the unknown number?

Mathematics

2 answers:

Verdich [7]4 years ago

8 0

Is it multiple choice? If not I would say 215=5(x)-29

Ilia_Sergeevich [38]4 years ago

3 0

Answer:

The required equation is $5(29-n)=215$

Step-by-step explanation:

Given : 5 times the difference of 29 and a number is 215.

To find : Which equation can be used to find the unknown number?

Solution :

Let the number be 'n'.

The difference of 29 and a number i.e. $29-n$

5 times the difference of 29 and a number i.e. $5(29-n)$

5 times the difference of 29 and a number is 215 i.e. $5(29-n)=215$

Therefore, the required equation is $5(29-n)=215$

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Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

Which graph represents the polynomial function g(x) = x3 + x2 – 17x + 15?

denis-greek [22]

Answer:

(x+3)⋅(x+1)⋅(x−5)

Step-by-step explanation:

4 0

3 years ago

Pls help BRAINLYEST FOR BEST ANSWER YAYA

son4ous [18]

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

6 0

3 years ago

Read 2 more answers

Help me please..............

larisa [96]

Answer:

a.)48

b.)528

c.)448

Step-by-step explanation:

a.)8x8=64. 4x4=16 64-16=48

b.)48(from a. answer)x11=528

c.)11x8(x2 for the other side)=176. 11x4x4=176.

48x2=96. 176+176+96=448

3 0

3 years ago

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

WARRIOR [948]

Answer:

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

Step-by-step explanation:

given

$y = \log_{10}{(x^2+6x)}$

using the property of log $\log_ab=\frac{log_cb}{log_ca}$ , and if c = $e$ , $\log_ab=\frac{ln{b}}{ln{a}}$ , we can rewrite our function as:

$y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}$

now we can easily differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)$

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)$

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

This is our answer!

3 0

3 years ago

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