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2 years ago

Write a function rule for the statements

Mathematics

2 answers:

WINSTONCH [101]2 years ago

3 0

Step-by-step explanation:

x. | y

1 | -4

2 | 0

3 | 4

Is this correct?

tamaranim1 [39]2 years ago

3 0

I’m thinking x • 4 - 8 = y.

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How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?

lyudmila [28]

Answer: 120

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

Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

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

Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7

5 0

3 years ago

Answer questions D and E

djyliett [7]

Answer:

Step-by-step explanation:

what number line?? can u tell me in the comments then i will figure it out.

7 0

3 years ago

If 8 cakes cost $62.40, how much would 3 cakes cost?

Ilya [14]

Answer:

Step-by-step explanation:

Given,

Cost price of 8 cakes = $62.40

So,

Cost price of 1 cake = $ $\frac{62.40}{8}$

Therefore,

Cost price of 3 cakes

= $( $\frac{62.40}{8}$ × 3)

[On dividing 62.40 by 8]

= $(7.80 × 3)

[On multiplying]

= $23.40

Hence,

The required cost of 3 cakes is $23.40 (Ans)

3 0

2 years ago

Read 2 more answers

Please help me with this.

AleksandrR [38]

Answer: What is the quesiton(s) you would like answered today?

Step-by-step explanation:

4 0

3 years ago

Solve the equation for principal values of x. Express solutions in degrees.

Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

$\sin x=1+\cos ^{2} x$

To find the degree:

$\sin x=1+\cos ^{2} x$

Subtract 1 + cos²x from both sides.

$\sin x-1-\cos ^{2} x=0$

Using the trigonometric identity: $\cos ^{2}(x)=1-\sin ^{2}(x)$

$\sin x-1-\left(1-\sin ^{2}x\right)=0$

$\sin x-1-1+\sin ^{2}x=0$

$\sin x-2+\sin ^{2}x=0$

$\sin ^{2}x+\sin x-2=0$

Let sin x = u

$u^2+u-2=0$

Factor the quadratic equation.

$(u+2)(u-1)=0$

u + 2 = 0, u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0

3 years ago

Read 2 more answers