Which of the following is a factor of 10xy − 5y + 18x − 9

1 - 4 please help !!!!

dusya [7]

We can use the slope formula for each of these.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1. 5 - 1 / 4 - 2

4 / 2

2

The slope is 2, and it is rising because it is positive.

2. -5 - 0 / 3 - (-1)

-5 / 4

The slope is -5/4, and it is falling because it is negative.

3. 1 - 1 / -3 - 2

0 / -5

0

The slope is 0, and it is a horizontal line. The value of y is not changing per value of x.

4. -5 - 2 / -1 - (-1)

-7 / 0

Undefined

The slope is undefined because it fails the vertical line test.

3 0

4 years ago

The statewide pass rates for ENGL&101 across Washington state community colleges is 68%. An instructor in the English depart

Mila [183]

Answer:

The calculated value Z=1.2413 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

An instructor in the English department at CBC believes rates at CBC may be equal to the state average

Step-by-step explanation:

Step(i):-

Given Population proportion

P=68%= 0.68

Sample proportion

$p^{-} =\frac{x}{n} = \frac{179}{250} = 0.716$

Null hypothesis : H₀ : p = 0.68

Alternative Hypothesis :H₁ : p > 0.68

Step(ii):-

Test statistic

$Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }$

$Z = \frac{0.716-0.68 }{\sqrt{\frac{0.68 X 0.32}{250} } }$

Z = 1.2413

Level of significance

$Z_{0.05} = 1.96$

The calculated value Z=1.2413 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

An instructor in the English department at CBC believes rates at CBC may be equal to the state average

6 0

4 years ago

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

prohojiy [21]

Answer:

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = $P (1 + r)^{t}$ where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % = $\frac{4.5}{100} = 0.045$

Now,

Given that Amount reaches more than $2000

⇒ $P (1 + r)^{t}$ > 2000

⇒ $1000(1 + 0.045)^{t}$ > 2000

⇒ $(1.045)^{t}$ > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

$(1.045)^{0} = 1 \ngeq 2$

for t = 1

$(1.045)^{1} = 1.045 \ngeq 2$

for t = 2

$(1.045)^{2} = 1.092 \ngeq 2$

for t = 3

$(1.045)^{3} = 1.14 \ngeq 2$

for t = 4

$(1.045)^{4} = 1.19 \ngeq 2$

for t = 5

$(1.045)^{5} = 1.25 \ngeq 2$

for t = 6

$(1.045)^{6} = 1.30 \ngeq 2$

for t = 7

$(1.045)^{7} = 1.36 \ngeq 2$

for t = 8

$(1.045)^{8} = 1.42 \ngeq 2$

for t = 9

$(1.045)^{9} = 1.48 \ngeq 2$

for t = 10

$(1.045)^{10} = 1.55 \ngeq 2$

for t = 11

$(1.045)^{11} = 1.62 \ngeq 2$

for t = 12

$(1.045)^{12} = 1.69 \ngeq 2$

for t = 13

$(1.045)^{13} = 1.77 \ngeq 2$

for t = 14

$(1.045)^{14} = 1.85 \ngeq 2$

for t = 15

$(1.045)^{15} = 1.93 \ngeq 2$

for t = 16

$(1.045)^{16} = 2.02 > 2$

It satisfies at t= 16

∴ we get

Michelle's age = 16

4 0

3 years ago

PLEASE HELP I WILL MARK BRAINLEST!!!!! Franco is making a fruit salad. The ratio of cups of strawberries to cups of bananas is 2

andre [41]

Answer:

192 cups of bananas

Step-by-step explanation:

All you do is multiply 48 by 4 cups of bananas in order to get how many cups of bananas he will need to make 48 cups of fruit salad = 192

48 • 4 = 192

8 0

4 years ago

Which lines are perpendicular to the line y - 1 = 1(x+2)? Check all that apply.

Drupady [299]

Answer:

The general equation of the lines that are perpendicular is:

$y=-x+b$

b can by any number.

Step-by-step explanation:

The equation of a line is given by:

$y=mx+a$

where m is the slope and b is the intercept

The equation of a perpendicular line to the previuos one is:

$y=- \frac{1}{m} x+b$

That means that the slope of a perpendicular line is inverse and sign opposite to the other line.

Hence, the equation given is:

$y - 1 = 1(x+2) \\ y=x+2+1 \\ y=x+3$

m would be:

m=1

So the perpendicular slope would be:

$- \frac{1}{m}=- \frac{1}{1} =-1$

The general equation of the lines that are perpendicular to y=x+3 is:

$y=-x+b$

b can be any number

In attached picture:

y=x+3 is the red line

y=-x+b is the blue line

7 0

3 years ago