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kiruha [24]
3 years ago
7

Solve the inequality -24<×-3-8×. A.×>-3 B. ×<3 C.×>-9 D.×>3

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0
In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x 
-21 < -7x
-21/-7 <x
3 <x
x>3

The answer is <span> D.×>3</span>
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Find the product of (x-7)^2 and explain how it demonstrates the closure property of multiplication
iogann1982 [59]

A. x²-14x+49; is a polynomial

Step-by-step explanation:

(x-7)² can be written as (x-7)(x-7)

Expanding the expression

x(x-7)-7(x-7)

x²-7x-7x+49

x²-14x+49 ⇒⇒A quadratic function, which is a polynomial of degree 2

This function demonstrates the closer property of multiplication in that the change in order of multiplication does not change the product. This is called commutative property.

(x-7)(x-7)

-7(x-7)+x(x-7)

-7x+49+x²-7x

x²-14x+49

Learn More

Polynomials :brainly.com/question/9601478

Keywords : product, closure property of multiplication,

#LearnwithBrainly

4 0
2 years ago
bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the
Simora [160]

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054

Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

\text{The amount received after 5 years} = PV(1 + \frac{r}{2} )^{n} \\

= 1400(1 + \frac{0.054}{2})^{10} \\

= 1827.39

Therefore, 1827.39 will be the total money in his account after five years.

5 0
3 years ago
Which value is a solution of the equation 8y=56?
Korvikt [17]

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

3 0
3 years ago
Can someone help me with this math problem, please? Thanks!
vichka [17]
Answer: D, -1
First, plug in the value -1 for x in f(x) first. \frac{1}{(-1)^2+1} can then be simplified to \frac{1}{2} because (-1)^2=1. Next, put the value -1 for x in the equation g(x). This will look like - \frac{1}{2}.

The final step is to evaluate f(x) divided by g(x). f(x) = 1/2 and g(x) = -1/2, so when divided, you get -1.
3 0
3 years ago
Read 2 more answers
Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write
bekas [8.4K]

Answer:

Step-by-step explanation:

(14 - 8)/(7 - 4)= 6/3= 2

y - 8 = 2(x - 14)

y - 8 = 2x - 28

y = 2x - 20

3 0
3 years ago
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