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anygoal [31]
2 years ago
7

For real numbers x and y, what is the largest possible value of

Formula1" title="5 - (x-3)^2" alt="5 - (x-3)^2" align="absmiddle" class="latex-formula">?
Mathematics
1 answer:
Bingel [31]2 years ago
6 0

Answer:

5

Step-by-step explanation:

Anything other than making x - 3 = 0 will make x - 3 have a value. No matter what happens  (x - 3)^2 is positive. There is a minus sign outside the brackets which makes (x - 3)^2 negative.

That means that something is always taken away from 5 unless x = 3. Try and find any value that will make a number bigger than or equal to five that isn't x = 3.

By the way, I'm assuming the question is y = 5 - (x - 3)^2

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What is the value of each expression?
Maru [420]

Answer:

1. -3   2. 3

Step-by-step explanation:

Evaluate each expression is very simple concept in math. When you substitute a particular value for each variable and then act the operations called evaluating expression.

8 0
3 years ago
Read 2 more answers
What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,
Aleonysh [2.5K]

Answer:

28.27530

Step-by-step explanation:

Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

7 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
Nerissa has 5 pink bows,1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow form the box.
maria [59]

Answer:

she has a 4/10 chance she will pick purple bow

7 0
2 years ago
Does anyone know what 8x1/6 is?
mario62 [17]
Answer: 1.333333333333333333334
5 0
3 years ago
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