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Akimi4 [234]
3 years ago
14

Which equation shows the vertex form of a quadratic equation with vertex (2, 5)?

Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

Option A f(x) = a(x - 2)^2 + 5

Step-by-step explanation:

Vertex Form : y = a(x-h)^2 + k

In this case, we don't need the a-term because we are only looking for the vertex.

The h-term is how this parabola moved horizontally.

Since the x value is 2, that means that the graph moved 2 spaces towards the right. We plug it in to get:

y = (x - 2)^2

Now we need to find the k value. We see that the vertex is (2,5), and the y-value is 5. That means that the graph moved up to 5 units. Now we plug 5 into the k-value, and this is what we get:

y = (x - 2)^2 + 5

Walah! We're done with the equation, and as we can see, the answer is option A!

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If 6 1/4 of potatoes cost 40.75 how much would one pound cost
Darya [45]

Answer 6 dollars and 52 cents

Step-by-step explanation: 6 1/4 = (6.25)

40.75/6.25 = 6.52 per unit price

6 0
3 years ago
Solve for x:<br><br> 2.5x - 10.5 = 64 (0.5) ^x
Andreyy89
The answer is x=5. This is because you need to simplify both sides and then isolate the variable.
6 0
3 years ago
2y =17383 what is 2y please answer
aleksandrvk [35]
2y is 2y, so it is equal to 17383.
IF you were looking for just y, than the answer is 17383/2 = y = 8691.5
3 0
3 years ago
Read 2 more answers
1/4(x-2) = 10 NEED DONE ASAP
kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  1              

 (— • (x - 2)) -  10  = 0

  4              

Step  2  :

Equation at the end of step  2  :

 (x - 2)    

 ——————— -  10  = 0

    4      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         10     10 • 4

   10 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4)     x - 42

————————————————  =  ——————

       4               4  

Equation at the end of step  3  :

 x - 42

 ——————  = 0

   4  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator,  multiplys both sides of the equation by the denominator.

Here's how:

 x-42

 ———— • 4 = 0 • 4

  4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-42  = 0

Solving a Single Variable Equation :

4.2      Solve  :    x-42 = 0

Add  42  to both sides of the equation :

                     x = 42

One solution was found :

                  x = 42

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
Jake plays baseball. He had 8 hits in his last 24 times at bat. Suppose he continues to bat at this rate. How many hits should
Zanzabum

Answer:

D. 10

Step-by-step explanation:

If he hits 8 swings every 24 swings, that gives you a ratio of 1 hit:3 swings. Using this ratio, you can take the 8 hits he already has, and add them on the 6 extra swings he did to get 30 swings. Using the ratio, he hits 2 more, and 8+2=10, so D.

5 0
3 years ago
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