What is expression equivalent to 23x

marta [7]

1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b

Adding b in, you get y = -2x + 28

2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8

Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25

3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.

4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.

5. 
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
b = -(7/8)a + 35

3 0

3 years ago

Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r

Marianna [84]

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

$\mu =\frac{\alpha }{\alpha +\beta } = \frac{1}{1 + \frac{\beta}{\alpha} }$ 1/3 0.33 = 33.33 %

The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by

PDF = $\frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$

where x = 0.1

α = 2 and β = 4

PDF = $\frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 1.458

CDF = $\frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

3 0

4 years ago

Es LOGICA PROPOSICIONAL, me pueden ayudar porfavor?

madreJ [45]

$\begin{array}{c|c|c|c} p & q & \neg q & p \land \neg q \\ T & T & F & F \\ T & F & T & T \\ F & T & F & F \\ F & F & T & F \end{array}$

$\begin{array}{c|c|c|c} t & s & \neg t & \neg t \implies s \\ T & T & F & T \\ T & F & F & T \\ F & T & T & T \\ F & F & T & F \end{array}$

$\begin{array}{c|c|c}p\land \neg q & \neg t \implies s & (p \land \neg q) \implies (\neg t \implies s) \\T & T & T \\ T & F & F \\ F & T & T \\ F & F & T \end{array}$

The given logical statement is false when $p\land\neg q$ and $\neg t\implies s$ are true and false, respectively.

$p\land\neq g$ is true when $p$ is true and $q$ is false
$\neg t \implies s$ is false when both $t$ and $s$ are false

6 0

2 years ago

95% of what number is 57

dalvyx [7]

To get this answer you set up an equation. 0.95x=57. You then divide both sides by 0.95 giving x=57/0.95 which equals x=60. Therefore, the what number is 60 because 60*0.95=57.

8 0

3 years ago

Read 2 more answers

I need some help with this

Mkey [24]

3. Rule - 4 and below - round to a 0

5 and above - round to the number

A - 182.886 - 182.900

B - 0.459 - 0.500

C - 4.06 - 4.10

D - 7.96 - 8

E - 0.30 - 0.3

F - 3.21 - 3.2

3 0

4 years ago