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3 years ago

Equations that look different but have the same solution are said to be

1 answer:

3 0

Let's define each choice to differentiate which is the answer

A. Equivalent - equivalent equations may not look exactly the same on face value. But they are equivalent because they have the same exact solution.

B. Expressions - expression is a general term for equations that are formed from word problems

C. Equal - equal equations are the exact duplicate of each other

D. Similar - this term is only used on geometric shapes to tell that the two shapes have a fixed ratio of their similar sides or angles

E. Radical - radical equations are those involving fractions

Therefore, from their descriptions, the answer is A.

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What is the width of Averi's area model? (See picture)

shepuryov [24]

Answer:

Width = x² + 5x - 4

Step-by-step explanation:

By the definition of an area model,

Area = Width × greatest common factor

Since, Area = 4x² + 20x - 16

And greatest common factor = 4

4x² + 20x - 16 = 4(Width)

By dividing both the sides of the equation by 4,

$\frac{4x^2+20x-16}{4}=\frac{4(\text{Width})}{4}$

x² + 5x - 4 = Width

Therefore, width = (x² + 5x - 4) will be he answer.

8 0

3 years ago

Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1

WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation ( $\sigma$ ) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

$n=(\dfrac{z^*\sigma}{E})^2$ , z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, $\sigma$ = 8.265, E = 1

So, $n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]$

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0

3 years ago

What is the name of this "rule?"

maks197457 [2]

The answer is Angle addition postulate

6 0

3 years ago

PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3

GaryK [48]

Answer:

$f^{-1}(x) = \frac{cos(2x+6)}{\pi }$

Step-by-step explanation:

$y = \frac{1}{2} cos^{-1} (\pi x)-3$

Firstly, we've to interchange the variables.

$x = \frac{1}{2} cos^{-1}(\pi y)-3$

Solving for y

$x = \frac{cos^{-1} \pi y}{2} -3$

Adding 3 to both sides

$x+3 = \frac{cos^{-1}(\pi y)}{2}$

Multiplying 2 to both sides

$2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)$

Taking cosine on both sides

$\pi y = cos (2x+6)$

Dividing both sides by y

$y = \frac{cos(2x+6)}{\pi }$

Replace y by $f^{-1}(x)$

=> $f^{-1}(x) = \frac{cos(2x+6)}{\pi }$

4 0

3 years ago

Read 2 more answers

Complete the factorization of 3x2 – 5x 2. which two factors can be multiplied together to make this trinomial?

EastWind [94]

The two factors multiplied together to make a trinomial is (x-1)(3x-2).

Given equation is 3x²-5x+2.

An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

In the given equation,

Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6

Use any two numbers which on multiply give 6 and on adding or subtracting give -5.

Such two numbers are -2 and -3

On multiplying, (-3)×(-2)=6

On Adding, -3-2=-5

So, break -5x into -3x and -2x and we get

3x²-3x-2x+2

Taking out 3x common from the first two terms and -2 from the last two terms as

3x(x-1)-2(x-1)

Taking out the common term (x-1) as common and get

(x-1)(3x-2)

Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).

Learn more about factorization from here brainly.com/question/22673662

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7 0

2 years ago