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3 years ago

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1. What is the solution to the system of equations?

2 answers:

inysia [295]3 years ago

4 0

<span> Use the substitution method to justify that the given system of equations has no solution.</span>

ANTONII [103]3 years ago

4 0

Solution to the 1st equation: x
3x-6y=-12
3(x-2y)=-12
x-2y=-4
→x=2y-4

Solution to the 1st equation: y
3x-6y=-12
3(x-2y)=-12
x-2y=-4
-2y=-4-x
→y=-4-x/2

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F(x)=5^x+1 what’s the rate of change between x=0 and x=4

nalin [4]

Answer:

156

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Functions
Function Notation
Average Rate of Change: $\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

<u>Step 1; Define</u>

<em>Identify</em>

f(x) = 5ˣ + 1

Interval <em>x</em> [0, 4] →<em>b</em> = 4, <em>a</em> = 0

<u>Step 2: Find Rate of Change</u>

Substitute in variables [Average Rate of Change]: $\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}$
[Average Rate of Change] Substitute in <em>x</em> [Function f(x)]: $\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}$
(Parenthesis) Evaluate exponents: $\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}$
(Parenthesis) Add: $\displaystyle \displaystyle \frac{626 - 2}{4 - 0}$
[Fraction] Subtract: $\displaystyle \displaystyle \frac{624}{4}$
Divide: $\displaystyle \displaystyle 156$

6 0

2 years ago

If the sin 30° is one half, then the cos ________° = ________.

svetoff [14.1K]

Step-by-step explanation:

$sin(a) = cos(90 - a)$

60°= one half

7 0

2 years ago

Can someone help me with number one please?

zhenek [66]

Yes, x equals 4!
*work if needed*

7 0

3 years ago

Read 2 more answers

Show all work to factor x^4 − 17x^2 + 16 completely.

Dmitrij [34]

Answer:

$x^{4}-17x^{2} +16$ = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of $x^{4}-17x^{2} +16$

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ $x^{4}$ = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of $x^{4}-17x^{2} +16$

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

(a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of $x^{4}-17x^{2} +16$

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of $x^{4}-17x^{2} +16$

∴ $x^{4}-17x^{2} +16$ = (x -1)(x + 1)(x - 4)(x + 4)

8 0

2 years ago

A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line?

RSB [31]

Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

7 0

3 years ago

Read 2 more answers