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d1i1m1o1n [39]
2 years ago
9

What is (2x + 1)(3x + 7) simplified

Mathematics
2 answers:
AysviL [449]2 years ago
7 0

Answer:

6x^{2}+17x+7 and zeros are -7/3 and -1/2

Step-by-step explanation:

You multiply every property by every variable not in their own parentheses.

2x*3x=6x^2

2x*7=14x

3x*1=3x

7*1=7

6x^2+3x+14x+7

add like variables together 3x+14x

6x^2+17x+7

( To get the zeros just make each equation in the parentheses equal to zero and solve for x.) ex 2x+1=0   x=-1/2

motikmotik2 years ago
6 0

Answer:

6x^2+14x+3x+7=6x^2+17x+7

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If f(x)=2x^2+3x+1 and g(x)=x+5, what would f(g(x))
Fantom [35]

Answer: The answer is 2x^2+23x+66.

Step-by-step explanation: The given functions are

f(x)=2x^2+3x+1,\\\\g(x)=x+5.

We are to find f(g(x)). To do this, first we need to evaluate g(x) and then we will apply the function f on the resulting function.

The evaluation is as follows:

f(g(x))=f(x+5)=2(x+5)^2+3(x+5)+1=2(x^2+10x+25)+3x+15+1\\\\\Rightarrow f(g(x))=2x^2+23x+66.

Thus, the correct answer is 2x^2+23x+66.

5 0
2 years ago
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Jessica is eating a bag of sour skittles . Her friend ask her to share, and Jessica throws over an extra bag. Her friend does no
liraira [26]

Answer:

A parabola opens downward with vertex at (1,20)

Step-by-step explanation:

The function that models the height of bag of candies is

h(t) =  - 16 {t}^{2}  + 32t + 4

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

h(t) =  - 16( {t}^{2}  - 2t) + 4

Add and subtract the square of half the coefficient of t.

h(t) =  - 16( {t}^{2}  - 2t + 1)  + 16+ 4

Factor the perfect square trinomial:

h(t) =  - 16( {t - 1)}^{2}  + 20

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

7 0
3 years ago
Solve for the missing variable.<br> 1.)<br> 80/120 =2/x
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Answer:

x = 3

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\frac{80}{120} = \frac{2}{x}

Simplify, divide the numerator and denominator by the same number

\frac{80}{120}\\

÷ 40

\frac{2}{3}

\frac{2}{3} = \frac{2}{x}

Cross products

2x = 2 *3\\2x = 6\\/2    /2\\\\x = 3

3 0
2 years ago
Which of the following is the equation of a line parallel to the line y=-x+1 passing through the point (4,1)
Softa [21]
Y=-x+b

plug in x = 4 and y = 1  to find b

1 = -4 + b   and we know that if you add 5 and -4 you get 1. So ...

5 = b so if we plug that in

y= -x + 5

which is the same as y + x = 5,  So it would be A
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3 years ago
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