Can you please help me i need to factor this equation but i am stuck in this type of question: c^2-9cd+18d^2

Use division to express the fraction in the form quotient + remainder / divisor. y^2-y-11/y-3

kolbaska11 [484]

use long division or synthetic division
I will use long

y-3 times y=y^3-3y
subtract that from y^2-y-11
we are left with
2y-11
multiply y-3 by 2 and get 2y-6
subtract that from 2y-11
get 5 as a remainder

answer is y+2+5/(y-3)

3 0

3 years ago

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

gizmo_the_mogwai [7]

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is $\mathbf{y=-\frac{5}{4}x+3}$

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form $y=mx+b$ where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line $5x+4y=16$ can be found by writing in slope-intercept form $y=mx+b$

$5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16$

Comparing with $y=mx+b$ the slope m is: $m=-\frac{5}{4}$

So, the slope of required line is: $m=-\frac{5}{4}$

Now, finding y-intercept b

y-intercept can be found using slope $m=-\frac{5}{4}$ and point (8,-7)

$y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3$

So, we get y-intercept: b=3

Now, the equation of required line having slope $m=-\frac{5}{4}$ and y-intercept b=3 is:

$y=mx+b\\y=-\frac{5}{4}x+3$

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 $\mathbf{y=-\frac{5}{4}x+3}$

4 0

2 years ago

a city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax

mestny [16]

The value of the standardized test statistic for this significance test is 1.7265

Standardized test statistic

In statistics, the standardized test statistic means a way for you to compare your results to a “normal” population.

Given,

A city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax dollars) before any such structures can be built. a proposal has been made to build a new recreational facility in the city, and sponsors of the proposal want to conduct a small survey to see if it would be approved if put to an official vote of all residents. a simple random sample of 150 residents revealed that 123 supported a change (and 27 did not).

Here we need to find the value of the standardized test statistic for this significance test.

While we looking into the given question we have identified the following values,

Random samples = 150

Supported values = 123

Not supported = 23

Aggreged percentage = 75%

So, the null and alternative hypotheses were as follows: H0: p = 0.75 and Ha: p ≠ 0.75.

Then the value of Standardized test statistic is calculated as,

=> (150 - 123) / (75 / √23)

=> 1.7265

To know more about Standardized test statistic here

brainly.com/question/16695849

#SPJ4

4 0

1 year ago

Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Help!!!

zloy xaker [14]

Answer:

b

Step-by-step explanation:

because the 1 is negative

8 0

3 years ago

Read 2 more answers

5.8x10^-1 - 7.4x10^0 in scientific notation.

Whitepunk [10]

5.8 × 10⁻¹ = 0.58

7.4 × 10⁰ = 7.4

0.58 - 7.4 = -6.82

so

(5.8 × 10⁻¹) - (7.4 × 10⁰) = -6.82 × 10⁰

7 0

2 years ago