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4 years ago

Given f(x)=x2+14x+40 . Enter the quadratic function in vertex form in the box.

1 answer:

8 0

Please indicate exponentiation using " ^ " Thanks.

f(x)=x2+14x+40 => f(x)=x^2+14x+40

Next, complete the square:

f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9

Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).

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Klio2033 [76]

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3 years ago

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The result of a random survey showed that 40 out of 75 people plan to vote for Mr. Best for a position on the local store school

Anna35 [415]

Answer: 1,600 people

Step-by-step explanation:

The survey showed that 40 out of 75 people would vote for Mr. Best.

Convert this figure to a percentage so that you can use it to find out the number of people that would vote for him if numbers were larger:

= 40 / 75

= 53.33%

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3 years ago

Solve: 3 x ≤ 6 how do I do this plz help

timama [110]

Answer:

x ≤ 2

Step-by-step explanation:

Most of the properties of equality also apply to inequalities. The exception is multiplication (or division) by a negative number. An equation can be multiplied or divided by any number you like (except division by 0) and it will remain true. An inequality must have the relation symbol reversed when multiplying or dividing by a negative number.

Here, we don't run into that issue, because we can solve this by dividing both sides by the coefficient of x, which is +3.

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3 years ago

The dimensions of a cylindrical water tank are shown below.

riadik2000 [5.3K]

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3 years ago

Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all

Mamont248 [21]

Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Creating a square model of the two spins :

Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Sample space = 4² = 16

Combinations without red and yellow :

{BB, BG, GB, GG}
Number of selections without red or yellow = 4

Recall :

Probability = required outcome / Total possible outcomes

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

Learn more : brainly.com/question/14605518

5 0

2 years ago

Given ​ f(x)=x2+14x+40 ​. Enter the quadratic function in vertex form in the box.

Given f(x)=x2+14x+40 . Enter the quadratic function in vertex form in the box.