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4 years ago

14

The roots of the equation 2x^2+3x-5=0 are

2 answers:

GaryK [48]4 years ago

7 0

I know it is -1 cause of the root of equation

allsm [11]4 years ago

3 0

X = 1 and X= -2.5 are the answers

You might be interested in

Please simplify......

djyliett [7]

Answer:

11 $m^{4}$ n²

Step-by-step explanation:

Given

$\sqrt{121m^{8}n^{4} }$

= $\sqrt{121}$ × $\sqrt{m^{8} }$ × $\sqrt{n^{4} }$

= 11 × $m^{4}$ × n²

= 11 $m^{4}$ n²

5 0

4 years ago

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0

3 years ago

HELP FAST PLEASE!!<br> FIND THE SURFACE AREO OF EACH RECTANGULAR PRISM

tatyana61 [14]

The surface area of the rectangular prism is 3668.94 m²

<h3>Calculating Surface area </h3>

From the question, we are to determine the surface area of the rectangular prism

Surface area of a rectangular prism is given by the formula,

Surface area = 2(lw + lh + wh)

Where l is the length

w is the width

and h is the height

From the given diagram,

l = 35.7 m

w = 25.5 m

h = 15.1 m

Putting the parameters into the formula, we get

Surface area = 2(35.7×25.5 + 35.7×15.1 + 25.5×15.1)

Surface area = 2(910.35 + 539.07 + 385.05)

Surface area = 2(1834.47)

Surface area = 3668.94 m²

Hence, the surface area of the rectangular prism is 3668.94 m²

Learn more on Calculating surface area here: brainly.com/question/1310421

#SPJ1

8 0

2 years ago

The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?

joja [24]

Answer:

$b=-12$

Step-by-step explanation:

we have

$f(x)=x^{2}+bx+10$

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to $x=h$

In this problem we have the axis of symmetry $x=6$

so

the x-coordinate of the vertex is equal to $6$

therefore

For $x=6+1=7$ -----> one unit to the right of the vertex

Find the value of $f(7)$

$f(7)=7^{2}+b(7)+10$

$f(7)=59+7b$

For $x=6-1=5$ -----> one unit to the left of the vertex

Find the value of $f(5)$

$f(5)=5^{2}+b(5)+10$

$f(5)=35+5b$

Remember that

$f(5)=f(7)$ ------> the x-coordinates are at the same distance from the axis of symmetry

so

$59+7b=35+5b$ ------> solve for b

$7b-5b=35-59$

$2b=-24$

$b=-12$

3 0

3 years ago

Read 2 more answers

It costs $7.75 to enter an arcade and $0.25 to play an arcade game. You have $8.25. Write an

Sonbull [250]

Answer:

0.25g+7.75 less or equal to 8.25

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers