The slope is 2 the points are (1,1). Déterminé the equation

Answers

Answer 1

Answer: Use the point-slope formula for the eqn of a str line:

y-1 = 2(x-1)

This becomes y = 1+2(x-1) = 1 + 2x - 2 = 2x - 1,

so the simplest form of the desired eqn is y = 2x - 1.

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3x + 7y, 8x + 4y, 13x + y, 18x - 2y, 23x - 5y, ...

Answers

☆Let's simplify step-by-step:
☆Question you asked:
3x+7y(8)x+4y(13)x+y(18)x−2y(23)x−5y
=3x+56xy+52xy+18xy+−46xy+−5y

☆Combine Like Terms:
=3x+56xy+52xy+18xy+−46xy+−5y
=(56xy+52xy+18xy+−46xy)+(3x)+(−5y)

☆Answer:
=80xy+3x+−5y

☆I hope this helps!☆

- - Solve:
$3x+7y(8)x+4y(13)x+y(18)x-2y(23)x-5y$

- - Solve again:

$=3x+56xy+52xy+18xy+-46xy+-5y$

- - Now we need to Combine Like Terms:
= $=3x+56xy+52xy+18xy+-46xy+-5y$

= $(56xy+52xy+18xy+-46xy)+(3x)+(-5y)$

= $80xy+3x+-5y$

- - Final answer:
$80xy+3x-5y$

✡ Hope this helps! ✡

What is the domain of y = cos θ?A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

Answer:

Option C - All real numbers

Step-by-step explanation:

Given : Function $y=\cos \theta$

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

$y=\cos \theta$

We know, for any value of $\theta$ the function $y=\cos \theta$ is defined.

Which means the set of all real numbers defined the given function i.e. $x\in(-\infty,\infty)$

Therefore, Option C is correct.

The domain of $y=\cos \theta$ is all real numbers.

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

The model represents x2 – 9x + 14.Which is a factor of x2 – 9x + 14?

A. x – 9
B. x – 2
C. x + 5
D. x + 7

Answers

Factorize the quadratic trinomial $x^2 - 9x + 14$ by the rule:

$ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }$

1. Find the roots:

2. Factorize the polynomial:

$x^2 - 9x + 14=(x-2)(x-7).$

3. Only factor x-2 is given in options, then the correct choice is B.

The factor of the given polynomial expression is (x - 2). So, option B.

Using variables and coefficients, polynomials are algebraic expressions. The word indeterminates is sometimes used to describe variables.

For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all mathematical operations that are possible, however division by variables is not one of them.

The given polynomial expression is,

x²- 9x + 14

So, we can write that,

(x - a) (x - b) = x²- 9x + 14

So, we can write two equations,

ab = 14

a + b = 9

Therefore, we can say that,

a = 2 and b = 7

Therefore, the factors of the given polynomial expression is,

(x - 2) (x - 7) = x²- 9x + 14

To learn more about polynomial expression, click:

brainly.com/question/23258149

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Which answer makes the most Sense

Answers

either 1st or 3rd in my opinion

identify whether the series infinity sigma i=1 8(5/6)^i-1 is a convergent or divergent geometric series and find the sum if possible

Answers

Answer:

The sum of infinite geometric series is:

Step-by-step explanation:

We have to find the sum of the geometric series which is given as:

$\sum^(\infty)_(i=1) 8* ((5)/(6))^i$

which could also be written as:

$8\sum^(\infty)_(i=1) ((5)/(6))^i$

As we know that any infinite series of the form:

$\sum^(\infty)_(i=1)x^i$

is convergent if |x|<1

Here we have:

x=5/6<1

Hence,the infinite series is convergent.

Also we know that for infinite geometric series the sum is given as:

$S=(a)/(1-r)$

Here we have:

a=5/6 and common ration r=5/6

Hence, the sum of series is:

$8\sum^(\infty)_(i=1) ((5)/(6))^i=8* (((5)/(6))/(1-(5)/(6)))\n\n=8* (((5)/(6))/((1)/(6)))\n\n=8* 5\n\n=40$

Hence, the sum of series is:

The sum is convergent. I'll assume the 8 isn't an attempt at using the infinity symbol, so that you have

$\displaystyle\sum_(i=1)^\infty 8\left(\frac56\right)^(i-1)$

This converges because the common ratio between terms is smaller than 1.

The sum is

$\frac8{1-\frac56}=48$

since

$\displaystyle\sum_(i=1)^\infty ar^(i-1)=a\lim_(n\to\infty)\sum_(i=1)^nr^(i-1)=a\lim_(n\to\infty)(1-r^n)/(1-r)=\frac a{1-r}$

if $|r|<1$ .

Haily has Bottles that hold 678 pennies each . About how many pennies does she have if she has six bottles filled with pennies

Answers

it is 4068 because you have to times the amount of pennies you have, in this case it is 678 by how many bottles.

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