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3 years ago

14

In how many different ways can 6 people line up in a luncjlh line

1 answer:

pogonyaev3 years ago

3 0

There a six possible people for the first spot. 5 next, then 4, then 3, 2, 1. Multiply it together and you get 720. Another way to write 6*5*4*3*2*1 is 6!, or 6 factorial.

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Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21

Mice21 [21]

Answer:

$(-4,-13)$ and $(4,3)$ the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

$f(x)=2x-5$

$g(x)=x^2+2x-21$

For a common point of these functions,

$f(x)=g(x)$

$2x-5=x^2+2x-21$

$-5=x^2-21$

$0=x^2-16$

$x^2=16$

$x=-4,4$

For $x=-4$ ,

$f(-4)=g(-4)=2(-4)-5$

$=-13$

For $x=4$ ,

$f(4)=g(4)=2(4)-5$

$=3$

Therefore, $(-4,-13)$ and $(4,3)$ the intersection points.

3 0

3 years ago

Jason makes 30 dollars an hour. He spends 40 dollars a day on transportation and food. Write an expression to describe his spend

Harrizon [31]

Your answer would be 30=x × 40

7 0

3 years ago

Read 2 more answers

A) what does the 7.5n expression represent?<br> b) what does the 1500 in the function represent?

denpristay [2]

N= the number of boxes

3 0

3 years ago

Translate the verbal expression "Five less than the product of X and three" into an algebraic expression

Illusion [34]

Answer:

x+3-5 i think

Step-by-step explanation:

"and" means add so x+3 and subtract 5

6 0

2 years ago

Choose the correct simplification of the expression (-9a^3b^2c^10)^0

Flauer [41]

Option C: 1 is the simplification of the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

Explanation:

The given expression is $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, $a^{0}=1$ where $a \neq 0$

Thus, the the exponent rule $a^{0}=1$ means that any value (except zero) to the power of zero is equal to one.

Thus, the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$ becomes,

$\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1$

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

8 0

3 years ago