All categories

3 years ago

What is the vertex of f(x) = 2(x - 5)2 + 12

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

The vertex is (5, 12)

Step-by-step explanation:

The vertex, from vertex form, is (h,k).

Vertex form is a(x - h)² + k

= 2(x - 5)² + 12

So h = 5, k = 12

The vertex is (5, 12).

I hope this helped!

You might be interested in

At the city museum, child admission is

Irina18 [472]

You have to multiply ......... and use 186 and divide. i think.

5 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

3 years ago

(13) The Modern Grocery has cashews that sell for $5.00 a pound and peanuts that sell

bazaltina [42]

Answer:

solution:

x = pounds of cashews = 20

y = pounds of peanuts = 70

Step-by-step explanation:

x = pounds of cashews

y = pounds of peanuts

---

4.75x + 2.50y = 3.00*90

x + y = 90

---

put the system of linear equations into standard form

---

4.75x + 2.50y = 270

x + y = 90

5 0

3 years ago

Can I get help? Giving brainliest!

lyudmila [28]

Yes you can get help.

7 0

3 years ago

Read 2 more answers

If three bakers can prepare 15 cakes in 60 minutes, if they continue working at the same rate, how many cakes can they make in 3

igomit [66]

1 baker would make 45 cakes in 3 hours

All 3 bakers would make 135 cakes in 3 hours

6 0

3 years ago

Read 2 more answers