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Ronch [10]
2 years ago
14

Which graph best represents the function f(x) = 2x^2 -2

Mathematics
1 answer:
astraxan [27]2 years ago
5 0

Answer:

The u equation, a parabola

Step-by-step explanation:

This is a quadratic equation, since we have a variable 'x' raised to second power.

The vertex can be found using the formula x=-b/2a when the parabola is written as y=ax2 + bx +c.

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Find the midpoint of side EF.
Fiesta28 [93]
The answer is (-0.5,4.5)
4 0
3 years ago
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The price of a commodity has fell down by 15% so that priya can buy 3 more commodities for Rs 1700. What was the original price
erastova [34]

Answer:

2,000

Step-by-step explanation:

write out an equation that represents the problem. the original price X fell by 15% to a new price of 1700:

X - (X*15%) = 1700

X(1-0.15) =1700

X=1700/(1-0.15)

X=2,000

convert 15% to decimal form:

15%=0.15

7 0
3 years ago
Let ​ f(x)=x2+5x−36 ​. Enter the x-intercepts of the quadratic function in the boxes.
san4es73 [151]
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x^2-5*x-(36)=0 

Step by step solution:<span> Step 1:</span> Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-5x-36</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is 1.
The middle term is, <span> -5x </span> its coefficient is  - 5.
The last term, "the constant", is <span> -36 </span>

Step-1: Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2: Find two factors of  -36  whose sum equals the coefficient of the middle term, which is - 5.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9</span><span>     -9   +   4   =   -5   That's it</span></span>


Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  4 
                     <span>x2 - 9x</span> + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors :
                    x • (x-9)
              Add up the last 2 terms, pulling out common factors :
                    4 • (x-9)
Step-5: Add up the four terms of step 4 :
                    (x+4)  •  (x-9)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x + 4) • (x - 9) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
 </span>                     x = -4 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-9 = 0<span> 

 </span>Add  9  to both sides of the equation :<span> 
 </span>                     x = 9 

6 0
3 years ago
Read 2 more answers
Solve for f(-3)<br><br> f(x)=5-x<br><br> f(-3)= ?<br> pls helpppp
RoseWind [281]
F(-3) = 8

Plug -3 into x and just solve it.
5 0
2 years ago
during a basketball practice mai attempted 40 free throws and was successful on 25% of them how many successful free throws did
arlik [135]

Answer:

10=25

Step-by-step explanation:

40=100

4=10

2=5

7 0
2 years ago
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