The sum of three consecutive odd numbers is 183. What is the smallest of the three numbers ?

Answers

Answer 1
Answer:

Answer:

59

Step-by-step explanation:

Average = 183/3 = 61

Two consecutive odd numbers differ by 2.

Hence, the numbers are 61-2, 61, 61 +2  or      59, 61, 63

The smallest is 59.


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If two angles are both vertical and supplementary, then the angles are

Answers

we know that

Supplementary angles are those angles whose sum is equal to 180 degrees and vertical angles are angles that are congruent.

so

Let

x--------> the first angle

y--------> the second angle

so

x=y --------> equation 1

x+y=180 --------> equation 2

Substitute equation 1 in equation 2

x+[x]=180

2x=180

x=90

y=90

therefore

the answer is

the angles are right angles

ur answer would be RIGHT angle!!!

Hope its right! 

PLEASE HELP 100 POINTS1. Rewrite both and from standard form into vertex form. Explain your process. HINT: Each
function has a common factor. Start by dividing it out.
2. State the vertex of each function. What does each vertex represent in context of The Twist?
3. Compare the a-value of to the a-value of the parent quadratic function. What effect does this
value have on a parabola?
4. Sketch both of the functions and on a single xy-plane. Describe the steps you took to create
your sketch.
5. use the vertex forms of and the sketch you created in question for to describe the track changes that occur when the function that represents The climb hill is altered from two do you think these changes will help younger riders better enjoy the twist? explain.

Answers

Final answer:

The question discusses the conversion of quadratic function from standard to vertex form, identification and interpretation of the vertex, the importance of the 'a-value', and graphing parabolas. The functions to be converted and compared are not given in the question.

Explanation:

I'm afraid there are some missing pieces in your question as the functions to be converted and compared are not specified. However, I can provide you with a general process for transitioning from standard form to vertex form for quadratic functions, identifying the vertex, comparing the a-value with the parent function, drawing graphs and analyzing changes.

To convert from standard form (f(x) = ax^2 + bx + c) to vertex form (f(x) = a(x-h)^2 + k), you complete the square. Here are the steps in general:

  1. From your standard form equation, identify a, b, and c.
  2. Divide all terms by 'a', if 'a' is not 1.
  3. Rewrite the equation: y = (x^2 + (b/a)x) + c/a.
  4. Take half of b/a, square it and add and subtract it within the parentheses.
  5. Rewrite the equation as: y = [(x+h)^2 - (h^2 -c/a)] where h is half of b/a.
  6. The resulting equation is in vertex form.

The vertex of the parabola is represented by the values of 'h' and 'k'. The vertex often represents the minimum or maximum point of a situation when the parabola models real-world phenomena.

Comparing the 'a-value' of your function to the 'a-value' of the parent function (which is usually 1), tells you about the vertical stretch or compression and the direction of the parabola.

When sketching, you usually plot the vertex first, find the axis of symmetry and then plot some points.

Learn more about Quadratic Functions here:

brainly.com/question/35505962

#SPJ2

Answer:

Rewrite both and from standard form into vertex form.

f(x)=(0.10x+18)^2-5.64

g(x)=(0.03x+0.81^2-7.5261

(18,30) (27,15)

the a-value of the parent quadraic function affects the parabola by it open downwards

Step-by-step explanation:

Let f(x)=1/x and g(x)=x^2+5x find (f×g)(x)

Answers

Answer:

(f×g)(x) = x +5.

Step-by-step explanation:

Given  : f(x)= (1)/(x) and g(x) = x²+5x.

To find : find (f×g)(x).

Solution: We have given f(x)= (1)/(x) and g(x) = x²+5x.

For (f×g)(x) = f(x) * g(x) .

Plug the values

(f×g)(x) =  (1)/(x) * x²+5x.

(f×g)(x) = (x^(2)+5x )/(x)

On taking x common from the numerator

(f×g)(x) = (x(x+5))/(x).

(f×g)(x) = x +5.

Therefore, (f×g)(x) = x +5.

just multiply
remember the distributive proeprty a(b+c)=ab+ac
(f *g)(x)=f(x)g(x)=(1/x)(x^2+5x)=(x^2/x)+(5x/x)=x+5

(f*g)(x)=x+5

The area of a rectangle is 36 cm2. The length of the rectangle is 8 cm.What is the width of the rectangle?


cm

Answers

What is the width of the rectangle? My answer is 32

CJ wrote several pairs of values that he thought wereequivalent. Which of his equations are correct? Pick all that
apply.
1.25 = 125%
0.03 = 30%
0.001 = 1%
60%
50%
22 23 를
66.6%
Guys I need help I’m gonna fail math

Answers

Answer:

125% correct

3/5 correct

2/3 correct

Step-by-step explanation:

Here, we want to pick the appropriate conversion from percentage to fraction:

To convert from percentage to fraction, we simply divide by 100

125% = 125/100 = 1.25 correct

30% = 30/100 = 0.3 not 0.03 wrong

1% = 1/100 = 0.01 not 0.001 wrong

60% = 60/100 = 3/5 correct

50% = 50/100 = 1/2 not 1/4 wrong

2/3 = 2/3 * 100 = 200/3 = 66.66667% correct

Answer:

B.C,D

Step-by-step explanation:

Sheldon has a traditional health insurance plan. He has a $200 deductible. The level of co-insurance for his plan is 90/10, where 10 represents Sheldon’s portion. He does not have a co-payment. If Sheldon incurs a $1,500 hospital bill, how much money will the insurance company pay for the bill?

Answers

The answer is $1,170. The hospital bill is $1,500 less the $200 deductible which is $1,300. Sheldon will then pay for 10% of his portion so multiply $1,300 by 10% with is $130 and deduct it to $1,300 which gives you $1,170.