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3 years ago

Which statement is true about the prime polynomial 2x2 + 3x + 3?

Mathematics

2 answers:

dedylja [7]3 years ago

6 0

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Sati [7]3 years ago

3 0

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

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Two numbers are in the ratio 2:3 and their sum id 45 then find both numbers

iragen [17]

Let the numbers be 2x and 3x.

According to the Question,

⇒ 2x + 3x = 45

⇒ 5x = 45

⇒ x = 45/5

⇒ x = 9

Now finding the values of both the number,

⇒ 2x = 2 × 9

= 18

⇒ 3x = 3 × 9

= 27

Hence, the value of both the number is 18 and 27 respectively.

7 0

3 years ago

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Find the volume of a pyramid with a square base, where the perimeter of the base is

Liula [17]

Answer:

33.4 m^3

Step-by-step explanation:

The edge length of the base is 1/4 of the perimeter, so is ...

(10.3 m)/4 = 2.575 m

Then the area of the base is the square of this, or ...

B = (2.575 m)^2 = 6.630625 m^2

The volume is ...

V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3

The volume of the pyramid is about 33.4 cubic meters.

3 0

3 years ago

determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2

LuckyWell [14K]

Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}$

6 0

3 years ago

What is the decimal numeral for ten and five hundredths?

Lapatulllka [165]

Ten and five hundredths in decimal form is 10.05

5 0

3 years ago

Solve the equations

ASHA 777 [7]

Answer:

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

$x = \frac{-36}{4}$

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

$x = \frac{65}{5}$

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

$x = \frac{44}{4}$

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

$x = \frac{-30}{2}$

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

$\frac{1}{2}(4x-10)+5=x-11$

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

$x = \frac{-22}{2}$

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

5 0

3 years ago

Read 2 more answers