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r-ruslan [8.4K]
3 years ago
7

Write a trinomial expression that is equivalent to (2x+5)(3x-2)

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0
2x *3x =6x^2

2x*(-2)= -4x

5*3x=15x

5* (-2) =- 10

6x^2 -4x +15x -10

6x^2 + 11x -10
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What is the y-intercept of this function?<br> f(x) = 2(x - 7)2 – 32
LUCKY_DIMON [66]

We are given the following function and want to find the y-intercept:

f(x)=2(x-7)^2-32

Just substitute the value x=0 into the equation to find the value of the y-intercept:

y=2(0-7)^2-32

Simplify

=2(49)-32

Simplify again

=66

Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.

Let me know if you need any clarifications, thanks!

~ Padoru

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3 years ago
What is the fraction of .25
Deffense [45]

Answer:

1/4

Step-by-step explanation:

.25 out of 1.0

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Glad I could help!

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Translate the phrase into an algebraic expression.
adell [148]

Answer:

8 + \frac{5}{w}

Step-by-step explanation:

From the phrase, the <em>answer</em> is smaller(less) by 8  when compared(equal (=)) to quotient of 5 and w ...

So:

Answer - 8 = quotient of 5 and w

Here, quotient is the whole number from a <em>division</em>. The division here is \frac{5}{w}

Therefore,

Answer - 8 = \frac{5}{w}

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The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
maw [93]

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

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The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

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The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0
3 years ago
A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The sec
DochEvi [55]

The statements that are true about the intervals of the continuous function are Options 2, 4  and 5

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<h3>What is the statement about?</h3>

Looking at the values given, the intervals which satisfies the condition are known to be:

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

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Because:

Since the table with x  and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .

Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)

Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]

When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)

When you look at the interval (-2,0) , the f(x)  is positive and as such, f(x)>0 over the interval (-2,0)

Looking at the interval  [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)

Therefore, Option 2, 4 and 5 are correct.

Learn more about interval from

brainly.com/question/14454639

#SPJ1

6 0
2 years ago
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