All categories

2 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

Mathematics

2 answers:

k0ka [10]2 years ago

5 0

Answer:

C. $-6x+15$

A. First Picture

Step-by-step explanation:

We are given the inequality, $-3(2x-5)$ .

On simplifying the inequality, we get,

$-3(2x-5)$

i.e. $-6x+15$

i.e. $-x$

i.e. $x>5$

So, we get the correct representations of the inequality are,

C. $-6x+15$

A. the First Picture

dimulka [17.4K]2 years ago

4 0

You might be interested in

A principle of $2000 is placed ina saving account at 3% APR compounded annually. How much is in the account after one year, two

Kisachek [45]

Answer:

1 year: $2060

2 years: $2121.80

3 years: $2185.45

Step-by-step explanation:

Compound interest formula is A = P(1 + $\frac{r}{n}^{nt$ ) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:

$2000(1.03)^t$

First, let's evaluate t for 1, as in one year.

$2000 * 1.03^1$ = 2000 x 1.03 = 2060

Two years: 2000 * 1.03 squared = 2121.80

Three years: 2000 * 1.03^3 = 2185.45!

Hope this helps!

8 0

2 years ago

What is 60,978 in expanded form

lana66690 [7]

Expanded Notation Form: 60,978= 60,000 +0 +900 +70 +8

Expanded Factors Form: 60,978= 6 × 10,000 +0 × 1,000 +9 × 100 +7 × 10 +8 × 1

Expanded Exponential Form: 60,978 = 6 × 104+0 × 103+9 × 102+7 × 101+8 × 100

Word Form:60,978 =sixty thousand nine hundred seventy-eight

7 0

2 years ago

Which set of ordered pairs does not represent a function?

ser-zykov [4K]

Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}

Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.

7 0

2 years ago

The second part gets cut off but it’s the same as the first part, we all have nothing better to do anyways so i’ll be hurt if no

andrey2020 [161]

Answer: equation: y=2x+4

initial value: 4

rate of change: 2/1

graph: the y-intercept at 4 and go up 2 and over 1 repeatedly until you’re able to draw a ray.

Table of values: (0,4) ; (1,6) ; (2,8) ; (3,10) ; (4,12)

Your car has 10 gallons of gas. You use up 1 gallon for every 20 miles you travel.

Initial value: 10

Rate of change: -1/20

[[Don’t be afraid to correct me if I am wrong. It’s 1 am and I got the sudden urge to answer brain.ly questions]]

4 0

3 years ago

Use the quadratic formula to solve this equation: x2 = -3x + 40 x=−b±b2−4ac√2a

zalisa [80]

The solution is x = 5 and x= -8

Step-by-step explanation:

Given equation is:

$x^2=-3x+40$

Converting in standard form

$x^2+3x-40 = 0$

The standard form of quadratic equation is:

$ax^2+bx+c = 0$

Here

a = 1

b = 3

c = -40

Quadratic formula is given as:

$x = \frac{-b+\sqrt{b^2-4ac}}{2a}\ \ \ \ , \ \ \ \ x = \frac{-b-\sqrt{b^2-4ac}}{2a}$

Putting the values of a, b and c

$x = \frac{-3+\sqrt{(3)^2-4(1)(-40)}}{2(1)}\ \ \ \ , \ \ \ \ x = \frac{-3-\sqrt{(3)^2-4(1)(-40)}}{2(1)}\\x = \frac{-3+\sqrt{9+160}}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ , \ \ \ \ x = \frac{-3-\sqrt{9+160}}{2}\\x = \frac{-3+\sqrt{169}}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ , \ \ \ \ x = \frac{-3-\sqrt{169}}{2}\\x = \frac{-3+13}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ , \ \ \ \ x = \frac{-3-13}{2}\\x = \frac{10}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ , \ \ \ \ x = \frac{-16}{2}\\x = 5\ \ \ \ \ And \ \ \ \ \ \ x = -8$

Hence,

The solution is x = 5 and x= -8

Keywords: Quadratic equation, variables

Learn more about quadratic equation at:

#LearnwithBrainly

4 0

3 years ago