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Tpy6a [65]
2 years ago
8

Which one is correct? A,B,C, or D?

Mathematics
2 answers:
Paladinen [302]2 years ago
7 0

Answer:

B

Step-by-step explanation:

3x-7 <-4

Firstly solve this.

+7 +7

3x<3

÷3 ÷3

x<1

And because the inequality symbol isn't "equal to", the circle isn't coloured in.

The line will go from 1 to behind 0

DochEvi [55]2 years ago
7 0

Answer:

B

Step-by-step explanation:

Everything below, not including, 1.

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A hockey player takes 150 shots each week. Sixty percent of these shots go in. How many shots do NOT go in?
Viefleur [7K]
60 percent of 150 is 90. So that means 60 shots do not go in.
4 0
3 years ago
Approximate area under the curve f(x) =-x^2+2x+4 from x=0 to x=3 by using summation notation with six rectangles and use the the
bekas [8.4K]

Answer:

Summation notation:

\frac{1}{2}\sum_{k=1}^6f((.5k))

or after using your function part:

\frac{1}{2}\sum_{k=1}^6(-(.5k)^2+2(.5k)+4)

After evaluating you get 11.125 square units.

Step-by-step explanation:

The width of each rectangle is the same so we want to take the distance from x=0 to x=3 and divide by 6 since we want 6 equal base lengths for our rectangles.

The distance between x=0 and x=3 is (3-0)=3.

We want to divide that length of 3 units by 6 which gives a length of a half per each base length.

We are doing right endpoint value so I'm going to stat at x=3. The first rectangle will be drawn to the height of f(3).

The next right endpoint is x=3-1/2=5/2=2.5, and the second rectangle will have a height of f(2.5).

The next will be at x=2.5-.5=2, and the third rectangle will have  a height of f(2).

The fourth rectangle will have a height of f(2-.5)=f(1.5).

The fifth one will have a height of f(1.5-.5)=f(1).

The last one because it is the sixth one will have a height of f(1-.5)=f(.5).

So to find the area of a rectangle you do base*time.

So we just need to evaluate:

\frac{1}{2}f(3)+\frac{1}{2}f(2.5)+\frac{1}{2}f(2)+\frac{1}{2}f(1.5)+\frac{1}{2}f(1)+\frac{1}{2}f(.5)

or by factoring out the 1/2 part:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

To find f(3) replace x in -x^2+2x+4 with 3:

-3^2+2(3)+4

-9+6+4

1

To find f(2.5) replace x in -x^2+2x+4 with 2.5:

-2.5^2+2(2.5)+4

-6.25+5+4

2.75

To find f(2) replace x in -x^2+2x+4 with 2:

-2^2+2(2)+4

-4+4+4

4

To find (1.5) replace x in -x^2+2x+4 with 1.5:

-1.5^2+2(1.5)+4

-2.25+3+4

4.75

To find f(1) replace x in -x^2+2x+4 with 1:

-1^2+2(1)+4

-1+2+4

5

To find f(.5) replace x in -x^2+2x+4 with .5:

-.5^2+2(.5)+4

-.25+1+4

4.75

Now let's add those heights.  After we obtain this sum we multiply by 1/2 and we have our approximate area:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

\frac{1}{2}(1+2.75+4+4.75+5+4.75)

\frac{1}{2}(22.25)

11.125

Okay now if you wanted the summation notation for:

\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))

is it

\frac{1}{2}\sum_{k=1}^{6}(f(.5+.5(k-1)))

or after simplifying a bit:

\frac{1}{2}\sum_{k=1}^6 f((.5+.5k-.5))

\frac{1}{2}\sum_{k=1}^6f((.5k))

If you are wondering how I obtain the .5+.5(k-1):

I realize that 3,2.5,2,1.5,1,.5 is an arithmetic sequence with first term .5 if you the sequence from right to left (instead of left to right) and it is going up by .5 (reading from right to left.)

6 0
3 years ago
How do you do part B of this question? Please help!!
posledela
All i know is that the equation of a straight line  is y=mx+c .......where m= gradient and c= the y intercept
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3 years ago
A &amp; B share the cost in a ratio of 3:2. A pays £125, how much does B pay?
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Let the common multiple be x
3x : 2x
3x = 125
x = 125/3

So, B pays 2x = 2 × 125/3 = £250/3
7 0
3 years ago
On monday five students make up a rumor. on each of the next two days, every student that knows the rumor tells five other stude
Travka [436]

Answer: 5¹ + 5² + 5³, 130 students

<u>Step-by-step explanation:</u>

  Monday:         1          1           1           1            1        =      5   ⇒ 5¹

+ Tuesday:      1(5)     1(5)       1(5)       1(5)         1(5)     = + 25   ⇒ 5²

+ Wednesday:5(5)    5(5)      5(5)      5(5)        5(5)     = <u>+125   </u>⇒ 5³

                                                                                          130

Extra Credit:   How many students will know the rumor on Thursday?            5¹ + 5² + 5³ + 5⁴


8 0
3 years ago
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