how do you write f(x)=x2+16x−7
in vertex form

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

More about the triangle link is given below.

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Answer:

[tex]m=7[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from chart.

Point (-7, -7)

Point (-4, 14)

Step 2: Find slope m

Answer:

[tex]\boxed {\boxed {\sf m=7}}[/tex]

Step-by-step explanation:

To find the slope, we can use the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

We can pick any two points in the chart.

Let's use (-1, 35) and  (2,56).

If we use these points, then the variables are:

[tex]x_1=-1 \\y_1=35 \\x_2=2 \\y_2=56[/tex]

Substitute the values into the formula.

[tex]m=\frac{56-35}{2--1}[/tex]

Solve the numerator.

[tex]m=\frac{21}{2--1}[/tex]

Solve the denominator.

[tex]m=\frac{21}{3}[/tex]

Divide.

[tex]m=7[/tex]

The slope of the line is 7

Answer:

18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

Hence,

[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]

Answer:

g(f(x)) = 5x^2 - 15x + 36

Step-by-step explanation:

f(x) = x² – 3x + 9

g(x) = 5x – 9

(g o f)(x)

g(f(x))

x = f(x) = x^2 - 3x + 9

g(x^2 - 3x + 9)

= 5(x^2 - 3x + 9) - 9

g(f(x)) = 5x^2 - 15x + 36

Answer:

Rate of Change / Slope = 1.75 (or 7/4)

Step-by-step explanation:

Slope is Rise/Run which is (y2-y1)/(x2-x1). When we plug in both ordered pairs, we get (19.25-14)/(11-8)=5.25/3=1.75 as the slope.

The rate of change is the ratio of the rise and the run of the line. Hence, the rate of change of the line is 1.75

Rise = y2 - y1 = (19.25 - 14) = 5.25

Run = x2 - x1 = (11 - 8) = 3

Rate of change = (5.25 / 3) = 1.75

Therefore, the rate of change for the line is 1.75

Learn more : https://brainly.com/question/18904995

Answer:

Correlation coefficients are used when you are doing statistics to find or measure how strong a relationship is between two variables.

Step-by-step explanation:

20% is the answer

Hope this helps

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Answer:

yenisei is longer by 812.716 kilometers

Step-by-step explanation:

2920/.621371

=4699.284 kilometers

5512- 4699.284

= 812.716

yenisei is longer by 812.716 kilometers

Answer:

12?

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

the question is only asking how many books Bina read, so the amount of books Weimning read is irrelevant.

to get the answer, you have to add both the amount of books bina read in the month.

hope this helped :)

Answer:

L = 18,4 ft

Step-by-step explanation:

The building, the ground, and the ladder make up a right triangle, with legs:

The distance (a) between the bottom of the ladder and the building 12 ft

The distance (b) between the gound and the window 14 ft up

The hypothenuse is the length of the ladder (L)

According to Pythagoras theorem

L²  = a²  + b²

L  = √  (12)²  +  (14)²

L = √ 144 + 196

L = √ 340

L = 18,4 ft

Answer:

The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.

Have a good day

Answer:

21 grams so the second answer choice

Step-by-step explanation:

300*.07=21

what do you need removing? I'll try to help

Answer:

The answer is B) 1

Step-by-step explanation:

balls

Answer:

any number to the power of 0

Step-by-step explanation:

Any number to the power of 0 will be equal to 1.

[tex](1)^{0} (109)^{0} (-16.9)^{0\\}[/tex]

Any of those would work.

Answer:

1) the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2) the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

Step-by-step explanation:

1)

Given that;

p = 8% = 0.08 and n = 569

what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9% (0.09)

that is;

p( p" > 0.09) = ?

p( p" > 0.09) = p( z > [(0.09 - 0.08)/(√((0.08(1 - 0.08))/569))] )

= p( z > (0.01 / 0.0114))

= p ( z > 0.8772)

= 0.1902

Therefore the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2)

Given that;

mean points obtained in an aptitude examination u = 166

standard deviation α = 19

sample size n = 66

x" - u = 1.1

first we say

x-score = (x" - u) / (α/√n) = 1.1 / (19/√66) = 1.1 / 2.3387 = 0.47

p( -0.47 < z < 0.47 )

= p( z < 0.47) - p( z < - 0.47)

= 0.6808 - 0.3192

= 0.3616

Therefore the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

Answer: This is rly confusing

Step-by-step explanation:

Answer:200

Step-by-step explanation:

Answer:

Option A: exponential smoothing is also known as triple exponential smoothing or Holt-Winters Exponential Smoothing

Step-by-step explanation:

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

Answer:

Mkay?

Step-by-step explanation:

Answer:

depends for each state

Step-by-step explanation:

How do I figure out the sales tax?

Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

Answer:

B

Step-by-step explanation:

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.55 - 0.35

P(A or B) = 1.35 - 0.35

P(A or B) = 1

A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.

Answer:

[tex]4.5\ \text{s}[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity =17 m/s

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = a

[tex]v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}[/tex]

Total height the rock is to fall when it is 8 meters from the ground is [tex]14.73+(31-8)=37.73\ \text{m}[/tex]

[tex]v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}[/tex]

Time taken to reach the maximum height is 1.73 s.

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}[/tex]

Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.

So, time taken from the moment of the throw to the point 8 m from the ground is [tex]1.73+2.77=4.5\ \text{s}[/tex].

Answer:

I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points

Answer:

(1,0)

Step-by-step explanation:

1. x - 1 =3x+3

2. 3x - x = 2x

3. -1+ 3 = 2

4. 2x = 2

5. 2/2 = 1

x = 1

6. 1-1 = 0

y = 0

(1,0)