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Lady bird [3.3K]
2 years ago
9

What is the product of (2x+3)(4x²-5x+6) ​

Mathematics
1 answer:
Rasek [7]2 years ago
3 0

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

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Answer:

answer is 111

Step-by-step explanation:

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2 years ago
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Scott started his bank account with $150 and is spending $7 per day on lunch. The x-axis would be labeled:
Inessa [10]

The x axis is labeled as Number of days.

<h3 /><h3>What is graph?</h3>

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

let x be the  number of days and y be money.

So, the equation is

y = -7x + 150.

Hence, the x axis is labeled as Number of days.

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2 years ago
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
solmaris [256]

The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.

<h3>What is a quadratic equation?</h3>

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The expression is x² + x.

Then the constant should be added to form a perfect square trinomial.

Then the constant will be

The square of the half of the coefficient of the variable x is to be added to make a perfect square.

Then the constant will be 1/4.

Then the perfect square will be

\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2

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2 years ago
Anna is saving to buy a new cell phone. Her mother is helping Anna by contributing money each month. What is the ratio between t
Dmitry [639]

Answer:

Option D. 3:1, $120

Step-by-step explanation:        

The complete question in the attached figure    

Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?      

Let    

x -----> the amount of money contributed by Anna      

y ----> the amount of money contributed by her mother    

we know that    

Looking at the table  

The value of x is equal to   x=\$30+\$60+\$90+\$120=\$300  

The value of y is equal to   y=\$10+\$20+\$30+\$40=\$100    

Find the ratio  x/y  

substitute the values  

\frac{x}{y}=\frac{300}{100}=\frac{3}{1}  

Part 2)  What was the total amount saved in April?    

we know that        

To find out the  total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April            

so            

(\$30+\$90)=\$120                          

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True or False? 92x - x = 92
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Answer: False

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