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3 years ago

PLEASE HELP What is the equation of the line shown?

Mathematics

1 answer:

Ivenika [448]3 years ago

8 0

So, let's start off with explaining what these different questions mean;

y = |x + c| Shifts the graph c units left.

y = |x - c| Shifts the graph c units right.

y = |x| + c Shifts the graph c units up.

y = |x| - c Shifts the graph c units down.

(0,0) Is the starting point on any graph like this. So, determine the answer by going through the list of answers.

I believe the answer is y = 2x.

I would like to know if I am wrong so contact me!!

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What is the slope of the line that passes through the points (13,-8) and (-11,4)

pogonyaev

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

Find slope using the slope formula : $\frac{y2-y1}{x2-x1}$

Plug in the given points : $\frac{4- (-8)}{-11-13}$

Add the numbers : $\frac{12}{-11-13}$

Calculate the difference : $\frac{12}{-24}$

Reduce the fraction : - $\frac{1}{2}$

Solution : - $\frac{1}{2}$

3 0

2 years ago

the sum of the digits of a two digit number is 7 if the digits are reversed the new number was increased by 3 equals 4 times the

gtnhenbr [62]

Answer:

Step-by-step explanation:

61+3=64

16*4=64

64=64

5 0

2 years ago

Juan is 3 years younger than half his aunts age. If Juan is 27 years old, how old is his aunt?

Ugo [173]

Juan’s aunt is 57 years old

7 0

1 year ago

Read 2 more answers

Evaluate the function f(x)=x^2+2x+3 at the given values of the independent variable and simplivy

tatyana61 [14]

Answer: i) f(-9)= 66

ii) $f(x+1)=x^2+4x+6$ .

iii) $f(-x)=x^2-2x+3$

Step-by-step explanation:

The given function : $f(x)=x^2+2x+3$ .

i) For f(-9) , the independent variable is x= -9.

Put x= -9 in given function , we get

$f(-9)=(-9)^2+2(-9)+3$

$=81-18+3=66$

Thus , f(-9)= 66

ii) For f(x+1) , the independent variable is x= x+1.

Replace x by x+1 in given function , we get

$f(x+1)=(x+1)^2+2(x+1)+3$ .

$=(x^2+1+2x)+2x+2+3$ $[\because\ (a+b)^2=(a^2+b^2+2ab)]$

$=x^2+1+2x+2x+5$

$=x^2+4x+6$

Thus , $f(x+1)=x^2+4x+6$ .

iii)For f(-x) , the independent variable is x=-x.

Replace x by -x in given function , we get

$f(-x)=(-x)^2+2(-x)+3$ .

$=x^2-2x+3$ [∵ (+)(-)=(-)]

Thus , $f(-x)=x^2-2x+3$

8 0

2 years ago

Simplify the fraction and state the excluded value(s).

stira [4]

Answer:

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Factoring

Calculus

Discontinuities

Removable (Holes)
Jump (Piece-wise functions)
Infinite (Asymptotes)

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}$

Step 2: Simplify

[Frac - Numerator] Factor quadratic: $\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}$
[Frac - Denominator] Factor GCF: $\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}$
[Frac] Divide/Simplify: $\displaystyle \frac{(7x - 10)}{5}, x \neq -2$

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

8 0

2 years ago