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3 years ago

Write the equation of the line in slope intercept form for the lone with a slope of 1/3 and a y intercept of (0,4)

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

Slope-intercept from is:

$y=mx+b$

m is the slope and b is the y-intercept. Insert slope:

$y=\frac{1}{3}x+b$

The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:

$y=\frac{1}{3} x+4$

Finito.

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If logx (8x-3) -logx 4=2, the value of x is

Vaselesa [24]

Answer:

x = 1/2 and 3/2

Step-by-step explanation:

The given equation is logₓ (8x-3) - logₓ 4 = 2

Then we have to determine the value of x.

logₓ $[\frac{(8x-3)}{4}]$ = 2 [ since log a - log b = log $(\frac{a}{b})$ ]

Now $x^{2}=\frac{(8x-3)}{4}$ [if $log_{a}$ b = c then $a^{c}$ = b]

4x² = 8x -3

4x² - 8x + 3 = 0

(2x)² - 2(4x) + (4-4) + 3 = 0

[(2x)² - 2 (4x) + 4 ] - 1 = 0

(2x - 2)² = 1

(2x - 2)² = ± 1 ⇒

2x - 2 = 1 and 2x - 2 = -1

x = 3/2 2x = 1

x = 1/2

Therefore, x = 1/2 and 3/2 are the answers.

3 0

4 years ago

What is the mean of 20 12 29 15 49

timofeeve [1]

Your Answer Will be 25 . All you do to find the mean is add all of the numbers together, then divide it by how many numbers you added . So in this case it was 5. Hope that helped!:)

6 0

3 years ago

Over the set of integers, factor the expression x^4– 4x^2 – 12.

Harlamova29_29 [7]

Step-by-step explanation:

problem answer in picture

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B7x%5E6%7D%29%5E5" id="TexFormula1" title="(\sqrt[3]{7x^6})^5" alt="(\sqrt[

Readme [11.4K]

Answer:

When you cube root x to the power of 6, x becomes squared, and the exponent, 5, makes it x to the power of 10.

Step-by-step explanation:

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3 years ago

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial

dsp73

Given that:

The expressions are $3z−2, 2x^3+x-12, 9b, 9x-2$ .

Solution:

Monomial : It contains single terms.

Binomial : It contains two terms.

Trinomial : It contains three terms.

Polynomial : It contains atleast one algebraic term.

Degree of polynomial : It is highest power of the variable.

$3z-2$ , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.

$2x^3+x-12$ , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.

$9b$ , here b is a constant. So, it is not a polynomial and it is a monomial.

$9x-2$ , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.

6 0

3 years ago