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2 years ago

- 3x + y = 6 what is the slope-intercept

Mathematics

1 answer:

tatiyna2 years ago

5 0

Answer:

Slope: 3 Y-intercept: 6

Step-by-step explanation:

You want to put this equation into y=mx+b form so it's easier to tell.

Add 3x on both sides.

y = 3x + 6

The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).

You might be interested in

What is the midpoint between (3, -1) and (7,-5)

Alex Ar [27]

Answer:

(5, -3)

Step-by-step explanation:

given two points (x₁, y₁) and (x₂, y₂), the midpoint is $(\frac{x_1+x_2}{2} ,\frac{y_1 + y_2}{2})$

$(\frac{3+7}{2} ,\frac{-1 + -5}{2})$ = $(\frac{10}{2} ,\frac{-6}{2}) = (5, -3)$

6 0

2 years ago

victor is ordering pizzas for a party he would like to have 1/4 of a pizza for each guest he can only order whole pizzas not par

Vanyuwa [196]

He will have to order 7 pizzas
27 x 1/4 = 6.75
27 guests need 6.75 pizzas
1/4 would be left

4 0

2 years ago

Of all individual tax returns, 37 percent include errors made by the taxpayer. If IRS examiners are assigned randomly selected r

Dima020 [189]

Answer:

mean=4.44

standard deviation=1.67

Step-by-step explanation:

The mean and standard deviation for the number of erroneous returns per batch can be calculated using binomial distribution. The binomial distribution is used because

i) There are one of two possible outcomes( error or no error) that can be categorized into success and failure.

ii) The experiment is repeated fix number of times 12.

iii) The probability of success remains constant at each trial i.e. 37%

iv) The trails are independent.The mean and standard deviation of binomial distribution are np and √npq

Here, n=12, p=0.37 and q=1-0.37=0.63

mean=12*0.37=4.44

standard deviation=√12*0.37*0.63=√2.8=1.67

8 0

2 years ago

Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.

horrorfan [7]

Answer:

Remember, $(f\circ g)(x)=f(g(x))$ and the range of g must be in the domain of f.

$f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2$

$g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1$

The domain of f(g(x)) and g(f(x)) is the set of reals.

$f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4$

$g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2$

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that $x^2-x\geq 0$

$f(g(x))=f(\frac{1}{x-1})=(\frac{1}{x-1})^2=\frac{1}{(x-1)^2}$

$g(f(x))=g(x^2)=\frac{1}{x^2-1}$

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

$f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}$

$g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}$

The domain of f(g(x)) is the set of reals except 2, and the domain of g(f(x)) is the set of reals except -1.

$f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1$

$g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)$

The domain of f(g(x)) is the set of nonnegative reals except -3. The domain of g(f(x)) is the set of nonnegative reals except -2.

3 0

2 years ago

3^4 + 2 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected!

lawyer [7]

Used BEDMAS
[Brackets, exponents, division, multiplication, addition, subtraction]

E= 3^4= 81
M= 2•5= 10
A= 81+10= 91

Answer= 91

5 0

2 years ago