1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhuklara [117]
3 years ago
9

Is my answer correct? 10 points + brainleist!

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

your answer is incorrect.  The correct answer is  h=-13  and k=13 .

Step-by-step explanation:

If a quadratic function is f(x)=ax^2+bx+c and a>0, then minimum value of the function at point \left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right).

The given function is

f(x)=x^2+bx+182

Here, a=1, b=b and c=182. So.

-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}

Put x=-\dfrac{b}{2} in the given function to find the minimum value of the function.

f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182

We know that minimum value is 13. So,

13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182

13-182=-\dfrac{b^2}{4}

-169=-\dfrac{b^2}{4}

169\times 4=b^2

Taking square root on both sides.

13\times 2=b

b=26

The value of b is 26.

So, the given function is  

f(x)=x^2+26x+182

Now, add and subtract square of half of coefficient of x.

f(x)=x^2+26x+182+(13)^2-(13)^2

f(x)=(x^2+2(13)x+(13)^2)+182-169

f(x)=(x+13)^2+13

On comparing with f(x)=(x-h)^2+k, we get

h=-13

k=13

Therefore, your answer is incorrect.

You might be interested in
Estimate show how you estimated 412 divided by 97
nataly862011 [7]
<span>the division of 412 divided by 97 can be estimated as:

412 can be estimated  as: 400
97 can be estimated to 100

so, now on dividing 400/100 we get, the answer as 4.

To verify the estimation: when 412 is divided by 97, the answer is 4.24 which can be nearly written as 4 only.

Thus, our estimation was correct.</span>
8 0
4 years ago
What is the answer to 5(1 + 5n)
mario62 [17]

Answer: 5 + 25n

Explanation: Let's simplify this problem using the distributive property.

In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.

So we have 5(1) + 5(5n) which simplifies to 5 + 25n.

3 0
3 years ago
A bicycle is $199.99 and it is marked 5% off. What is the sale price of the bicycle?
vagabundo [1.1K]
<span>Thus, a product that normally costs $199 with a 5 percent discount will cost you $189.05, and you saved $9.95.</span>

<span>You can also calculate how much you save by simply moving the period in 05.00 percent two spaces to the left, and then multiply the result by $199 as follows: $199 x .05 = $9.95 savings.</span>

<span>Furthermore, you can get the final price by simply deducting .05 from 1 and multiplying it by $199 as follows: (1 - .05) x $199 = $189.05 final price. </span>

<span>If something costs $199 and is on sale for 5% off, then how much would it cost? Here we will show you how to calculate how much you save (discount) and how much you have to pay if something you want to buy is regularly $199, but is currently on sale for 5 percent off.

<span>$199
<span>SALE
</span>5% OFF</span>
There are many ways of calculating your discount and final purchase price. One way is to multiply 199 dollars by 5 percent, and then divide the answer by one hundred, then deduct that result from the original price. See illustration below:

+ Purchase Price = $199
- Discount (199 x 5)/100 = $9.95
<span>= Final Price 199 - 9.95 = $189.05

</span></span><span><span>Hope this helps you! <3</span></span>
4 0
4 years ago
−157.6−147.01 go go go you can do it
LuckyWell [14K]

10.59

???

.

.

.

.

.

.

.

.

.

.

.

.

.

.

7 0
3 years ago
Find the greatest common factor 15x^2 y^3, and -20x^3 yz.
alexgriva [62]
15x^2y^3=3*5*x*x*y*y*y
-20x^3yz=-1*2*2*5*x*x*x*y*z
comon numbers are
5,x,x,y

greatest common factor is 5x^2y
4 0
4 years ago
Read 2 more answers
Other questions:
  • F(x) = x^2 -­ 16 and g(x) = x+4. Find f/g and its domain
    10·1 answer
  • The equation of the line that goes through the points (−6,2) and (-7,-7) can be written in general form Ax+By+C=0 where
    10·1 answer
  • Whitout solving, whag can you tell about the solution to this equation? 1/2(b+14)=b+14/2
    11·2 answers
  • Given: Quadrilateral DEFG is a parallelogram.
    6·1 answer
  • Hillary spent 23.45 on new mats for her car. She spent 9.99 on a car wash. How much did she spend on her car?
    15·1 answer
  • Company A charges a $5 fee plus $0.20 per ounce to ship a medium sized package to a nearby city. Company B charges a $10 fee plu
    12·1 answer
  • What is the answer ?
    6·2 answers
  • a line intercects the points (-22,-14) and (-18,-12). what is the slope intercept equation for this line?
    7·1 answer
  • A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high
    5·1 answer
  • Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!