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2 years ago

Suppose we want to choose 7 objects, without replacement, from 10 distinct objects.

Mathematics

1 answer:

Citrus2011 [14]2 years ago

7 0

Answer:

= 604800

Step-by-step explanation:

10 permute 7

the order matters

10 x 9 x8 x7 x6 x5 x4

hope this helps

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11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola

lbvjy [14]

11. The given parabola has equation: $f(x)=-3x^2-18x-35$

We complete the square to have the function in the vertex form: $f(x)=-3(x^2+6x)-35$

$f(x)=-3(x^2+6x+9)+3*9-35$

$f(x)=-3(x^2+6x+9)+27-35$

$f(x)=-3(x+3)^2-8$

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12. We know the graph of $y=x^2$ is a parabola that opens up and has its minimum point at the origin.

The range of this function is $y\ge 0$

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect $y=x^2$ and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

14. We want to find the zeros of $x^2+21x=5x-63$

$x^2+21x-5x+63=0$

$x^2+16x+63=0$

The factored form is $(x+7)(x+9)=0$

$x=-7\:or\: x=-9$

Ans: C. x = −7, −9

15. The given quadratic expression is $6x^2-17x+10$

We split the middle term to obtain:

$6x^2-12x-5x+10=0$

We factor by grouping to get:

$6x(x-2)-5(x-2)=0$

$(x-2)(6x-5)=0$

Ans: D. 6x − 5

8 0

4 years ago

Read 2 more answers

Can someone please explain this by step by step? And give me the answer

AURORKA [14]

Answer:

we know that q=-18

So if we see the fraction below it says q/3

We know that q is -18

Therefore, you substitute it in for q and you get

-18/3 which equals -6

7 0

3 years ago

A truck carrying 771.849 pounds of sand travels to a construction yard and loses 489.132 pounds of sand along the way. How much

damaskus [11]

771.849-489.132=282.717 lbs left.

4 0

4 years ago

Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer

zzz [600]

23 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
23 centimeter -> x kilometer
We clear x:
x = (23/1) * (1)
x = 23 kilometers
0.5 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
0.5 centimeter -> x kilometer
We clear x:
x = (0.5 / 1) * (1)
x = 0.5 kilometers

9 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
9 centimeter -> x kilometer
We clear x:
x = (9/1) * (1)
x = 9 kilometers

Answer:
c. 23 kilometers
a. 0.5 kilometers
b. 9 kilometers

4 0

3 years ago

Read 2 more answers

the length of a rectangle is 61/2 inches and the width is 33/4,. what is the ratio, using whole numbers of the length to the wid

xxTIMURxx [149]

61/2 inches = 30.5 inches

33/4 inches = 8.25 inches

----------------

$8.25\times n=30.5\\ \\ \therefore \quad n=\frac { 30.5 }{ 8.25 } =\frac { 122 }{ 33 }$

----------------

Ratio:

122/33 : 1

= 122/33 x 33 : 1 x 33

= 122:33

5 0

4 years ago