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2 years ago

The solution to the system of equations 2x+3y=18 -9y+z=-23 is (A,B,C) find the 5x-4z=50 values of A,B,and C

Mathematics

1 answer:

never [62]2 years ago

3 0

Answer:

6 = A, 2 = B, -5 = C

Step-by-step explanation:

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The mass of a penny was measured six times. The following data was reported:

Scrat [10]

Answer:

a) 8.103 g

b) 9.2948

c) 0

Step-by-step explanation:

Given:

Data reported:

9.314 g, 9.215 g, 9.323 g, 8.103 g, 9.278 g, and 9.344 g

Now,

All the values except the 8.103 are above 9

Here the data 8.103 varies very much with respect to the other values

Hence,

a) the data 8.103 should be excluded

b) average value of the mass of the penny = $\frac{9.314 + 9.215 + 9.323 + 9.278 + 9.344 }{5}$

= 9.2948 g

c) Deviation = Mean - Data

9.2948 - 9.314 = -0.0192

9.2948 - 9.215 = 0.0798

9.2948 - 9.323 = -0.0282

9.2948 - 9.278 = 0.0168

9.2948 - 9.344 = -0.0492

Thus,

Average deviation from mean = tex]\frac{-0.0192 + 0.0798 -0.0282 + 0.0168 -0.0492 }{5}[/tex]

= 0

4 0

3 years ago

Suppose that a sequence is defined as follows.

aleksandrvk [35]

Answer:

here's your answer v

Step-by-step explanation:

The first number in the sequence, , is -2.

Each number after that is the previous number multiplied by -2.

etc. We start by stating that .

Now we need to show that for all n greater than or equal to 2, each number in the sequence is the previous number multiplied by -2.

this is the answer.

Answer:

a1+= -2; an = - 2a-1, n > 2

5 0

2 years ago

What happens to the value of the expression 3 y over <br> 2 y as y increases

vladimir1956 [14]

It starts becoming bigger :)

8 0

3 years ago

Can someone please help me. I’m not quite understanding this problem

VashaNatasha [74]

Answer:

A=3

B=8

C=2

D=5

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers

A N S W E R Q U I C K P L E A S E

chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

$y=\frac{1}{4p}(x-h)^2+k$ ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

$k-p=-8$ ...(a)

$(h,k+p)=(-2,-6)$

$k+p=-6$ .... (b)

$h=-2$

On solving (a) and (b), we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

$y=\frac{1}{4(1)}(x-(-2))^2+(-7)$

$y=\frac{1}{4}(x+2)^2-7$

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

$k-p=5$ ...(c)

$(h,k+p)=(2,1)$

$k+p=1$ .... (d)

$h=2$

On solving (c) and (d), we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

$y=\frac{1}{4(-2)}(x-(2))^2+(3)$

$y=-\frac{1}{8}(x-2)^2+3$

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

$k-p=-3$ ...(e)

$(h,k+p)=(0,-2)$

$k+p=-2$ .... (f)

$h=0$

On solving (e) and (f), we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

$y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)$

$y=\frac{1}{2}(x)^2-2.5$

$y=\frac{1}{2}(x)^2-\frac{5}{2}$

Therefore option D is correct.

5 0

3 years ago