If In (x) = 3.53, what is the value of x ?

If someone gives u $500 and u lose it. Then someone else gives u $500 and u spent $300. You give the second person $100 and the

Artemon [7]

Assuming you don’t owe what you didn’t spend, you owe $500

7 0

4 years ago

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: 25a^2+ ∗ + 1/4b^2

Nadya [2.5K]

The square of a binomial is a pattern you would do well to remember.
.. (x +y)^2 = x^2 +2xy +y^2

Your expression has x^2 = 25a^2, so x = 5a. It also has y^2 = (b^2)/4, so y = b/2.
then the middle term is
.. 2xy = 2(5a)(b/2) = 5ab

The trinomial is
.. 25a^2 +5ab +(1/4)b^2 = (5a +b/2)^2

7 0

4 years ago

A two digit number exceeds the sum of the digits of that number by 18. If the digits at the unit's place is double the digit in

snow_tiger [21]

Answer:

The number is 24

Step-by-step explanation:

Let the two digits number be ab

In real terms, this is 10a + b

So, we have that the sum of the digits subtracted from 10a + b is 18

Mathematically, we have this as;

10a + b - (a + b) = 18

10a + b - a - b = 18

9a = 18

a = 18/9

a = 2

We are also told that the digit at the units place b is double the digit at the ten’s place a

That means b = 2a

b = 2 * 2 = 4

3 0

3 years ago

A liner function of x is graphed on a coordinate grid. the points 6,34 and 18,26 lie on the graph of the function what are the r

Lynna [10]

Answer:

Rate of change: m = -2/3

Value of the function at x = 24: y = 22

Step-by-step explanation:

You can write linear functions in <u>slope-intercept form</u>: y = mx + b

"x" and "y" are points on the line

"m" is the slope, how steep the line is, also known as <u>rate of change</u>

"b" is the y-intercept, when the graph hits the y-axis

Find the rate of change of the function by finding the slope between the two given points.

The formula for slope: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Label point 1 and point 2. Label each coordinate; remembered ordered pairs are (x, y).

Point 1 (6, 34) x₁= 6 y₁ = 34

Point 2 (18, 26) x₂ = 18 y₂ = 26

Substitute the points into your equation using the bolded information.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{26-34}{18-6}$ Subtract

$=\frac{-8}{12}$ Reduce the fraction. Top and bottom divide by 4

$=\frac{-2}3}$ Slope of the line, "m"

Substitute the slope and any point you want into slope-intercept form. I choose point (6, 34). x = 6 y = 34 m = -2/3

y = mx + b

34 = (-2/3)(6) + b Multiply to simplify

34 = (-12/3) + b

Start isolating "b"

34 + 12/3 = (-12/3) + 12/3 + b Add 12/3 on both sides

34 + 12/3 = b

Add fractions by combining the whole number into the numerator. Multiply the whole number by the denominator and add to the numerator.

b = (34*3 + 12) / 3 Solve numerator

b = 114/3 Value of "b"

Substitute the values "m" and "b" into slope-intercept form.

y = -2/3 x + 114/3 Equation of the line

To find the x = 24, take the equation of the line and substitute "x" for 24. Then solve for "y".

y = -2/3 x + 114/3 Equation of the line

y = (-2/3)(24) + 114/3

y = (-2*24)/3 + 114/3 Multiply into the numerator

y = (-48)/3 + 114/3 Combine under the same denominator

y = (-48 + 114) / 3 Add

y = 66/3 Divide

y = 22 Value of function

Therefore the rate of change, or slope "m", is -2/3. When "x" is 24, the value of the entire function is 22.

4 0

3 years ago

A certain game consists of rolling a single fair die. If a four or five comes up, you win 8 dollars; otherwise, you lose 4 dol

Elena-2011 [213]

Answer:

3/1

Step-by-step explanation:

Well there's 6 sides on a dice and only 2 winning numbers. 6/2=3/1. You have a good chance of losing lol. Is this what you're looking for?

~Keaura/Cendall.

3 0

3 years ago