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3 years ago

Write the following in simpler form.

Mathematics

1 answer:

gulaghasi [49]3 years ago

7 0

Answer:

C. 2^(4 + 6) = 2^10.

Step-by-step explanation:

8^2 = (2^3)^2

= 2^6.

So 2^4 * 8^2

= 2^4 * 2^6

= 2^(4+6).

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Which of the following is the graph of y=- square root x+1

maks197457 [2]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=-\sqrt{x+1}$

Find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

For x=0 -----> $y=-\sqrt{0+1}=-1$

The y-intercept is the point (0,-1)

The x-intercept is the value of x when the value of y is equal to zero

For y=0 -----> $0=-\sqrt{x+1}$ -----> $x=-1$

The x-intercept is the point (-1,0)

Find the domain

we know that

The radicand must be positive

$x+1\geq0$

$x\geq-1$

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure

4 0

3 years ago

Read 2 more answers

Which statements are true about the locations of points A and B? Select all that apply. O Point A is at (0, -2). Point A is at (

elena-s [515]

The answer is "Point B is at (-8, -7)". let's remember that -8 represents the x-axis, and -7 represents the y-axis.
let me know if that helps !

3 0

3 years ago

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

8 0

3 years ago

Which is the answer and how did you solve it?

motikmotik

Its pretty simple

9x-7y = 22
x + 3y = -24

(9x-7y = 22)
-9(x + 3y = -24)
= -9x -27y = 216
+ 9x-7y = 22
= -34y = 238
= / -34 = 238/-34
y = -7

now plug -7 in one of the equation
x + 3(-7) = -24
x -21 = -24
+21. +21
x = -3

so answer is x = -3 and y = -7

3 0

3 years ago

Inequality for 3x+1>x-1

Diano4ka-milaya [45]

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

5 0

3 years ago