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3 years ago

Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (−8, 1)?

Mathematics

2 answers:

Artemon [7]3 years ago

4 0

Answer:

The second one

Step-by-step explanation:

With the given info, the formula of the equation would be:

y = 2x + 17

When you expand the following options and put everything except the y on the right side, you get the second answer

Alik [6]3 years ago

4 0

Answer: y - 1 = 2 (x + 8)

Using slope- intercept formula:
y - 1 = 2(x - (-8)
y - 1 = 2 (x+8)

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Which of the following best describes the Aztec Empire before it was conquered? A. a small, complex civilization B. a small, pri

vladimir1956 [14]

The Aztec Empire was considered as A. a small ,complex civilization.

8 0

3 years ago

Read 2 more answers

Please help I do not understand this

Verizon [17]

Slope = (5 + 4)/(2 +1) = 9/3 = 3

y = mx + b
5 = 3(2) + b
b = -1

equation
y = 3x - 1

answer
y = 3x - 1

8 0

3 years ago

Drag the expressions into the boxes to correctly complete the table.

lora16 [44]

Answer:

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form $ax^n$ .

Here:

$n$ = non-negative integer

$a$ = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

$x^4+\frac{5}{x^3}-\sqrt{x}+8$

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains $\sqrt{x}$ , so it is not a polynomial.

Also it contains the term $\frac{5}{x^3}$ which can be written as $5x^{-3}$ , meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression $x^4+\frac{5}{x^3}-\sqrt{x}+8$ is not a polynomial.

Given the expression

$-x^5+7x-\frac{1}{2}x^2+9$

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

$\left|x\right|^2+4\sqrt{x}-2$

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

$x^3-4x-3$

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

$\frac{4}{x^2-4x+3}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

$x^4+\frac{5}{x^3}-\sqrt{x}+8$ → Not a Polynomial

$-x^5+7x-\frac{1}{2}x^2+9$ → A Polynomial

$x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi$ → A Polynomial

$\left|x\right|^2+4\sqrt{x}-2$ → Not a Polynomial

$x^3-4x-3$ → A Polynomial

$\frac{4}{x^2-4x+3}$ → Not a Polynomial

3 0

3 years ago

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk

cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0

2 years ago

(T+10.5) + 2t + 90 = 180

Masja [62]

Answer:

x = 26.5

Step-by-step explanation:

Step 1: Write equation

(t + 10.5) + 2t + 90 = 180

Step 2: Solve for t

Combine like terms: 3t + 100.5 = 180

Subtract 100.5 on both sides: 3t = 79.5

Divide both sides by 3: t = 26.5

Step 3: Check

Plug in x to verify it's a solution.

Substitute: (26.5 + 10.5) + 2(26.5) + 90 = 180

Parenthesis: 37 + 56 + 90 = 180

Add: 180 = 180

∴ x = 26.5

5 0

3 years ago

Read 2 more answers