How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.​

Answer:

a. 6 kg.

b. 110 m long.

c. 60 ml of juice.

The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.

A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.

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Answer:

I think so none

answer to the following steps below:-

I hope my answer helps.

(h ◦ f)(x) is the composition of h(x) with f(x),

(h ◦ f)(x) = h(f(x))

which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:

(h ◦ f)(x) = h(f(x))

(h ◦ f)(x) = h(5x - 1)

(h ◦ f)(x) = -(5x - 1) + 5

(h ◦ f)(x) = -5x + 1 + 5

(h ◦ f)(x) = -5x + 6

Then

(h ◦ f)(3) = -5 • 3 + 6

(h ◦ f)(3) = -15 + 6

(h ◦ f)(3) = -9

Answer:

45

Step-by-step explanation:

Calculate the least common multiple LCM(9; 5)

LCM(9; 5) = 45

Find additional factors for each fraction, for this divide LCM by the denominators of each fraction:

45 : 9 = 5 (factor of 1 fraction)

45 : 5 = 9 (factor of 2 fraction)

We multiply the numerator and denominator of each fraction by an additional factor of this fraction:

6/9=6/9 ⋅ 5/5=30/45

1/5=1/9 ⋅ 9/9=9/45

Result

6/9=30/45

1/5=9/45

Hope this Helps!

Answer:

a. 5000 kg

b. 300 ml

c. 9 hours

Answer:

x=27 degrees

EAF=  27

Step-by-step explanation:

sorry if this isnt right i tried my best

Answer:

5/4

Step-by-step explanation:

csc theta is essentially 1/sintheta

so you can say that csc theta is 5/4.

another way to do this is to draw the right triangle and find the values of all the sides. this way you'll be able to find all the trig values of the triangle.

post a comment if you want any further guidance or help.

Answer: 3

Step-by-step explanation:

go in evenly

Answer:

A. Similar triangles

Step-by-step explanation:

Triangle ABC

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

They are similar due to the occurrence in angles

Step-by-step explanation:

b is the smallest and then a , d, c, e

Answer:

103.87 ft.

In this case, area equals [tex]\pi r^2[/tex]

The diameter is [tex]2r[/tex]

But before worrying about anything else, we must start the problem. Let's do that now.

The first step is to find the broken-down form of the area.

A = [tex]\frac{1}{4} \pi d^2[/tex]

Next, break this equation into a solvable definition.

[tex]\frac{1}{4} * \pi * 11.5[/tex]

Lastly, solve this equation, and round.

[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]

Answer:

  -25/7

Step-by-step explanation:

The sum of an infinite series with first term 'a' and common ratio 'r' is ...

  S = a/(1 -r)

Your series has a=-5 and r=-2/5, so the sum is ...

  S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7

The sum of the series is -25/7.

Answer:

$20

Step-by-step explanation:

take 8 and multiply it by 2 and you get 16

then take half of 8 which is 4 and add it on

16+4=20

Step-by-step explanation:

1) area = [tex]\pi[/tex] r^2

           = 3.14*(11)^2

           = 379.94inch

2)  area =  [tex]\pi[/tex]r^2

             = 3.14*(4)^2

             = 50.24/2 (semi circle)

             = 25.12yards square  

Answer:

41, 243, 2

Step-by-step explanation:

40 + (1 + 2) - 2

=41

3[16 - (2 + 5)]^2

=243

100-50/100-3(2+3)^2

=2

Answer:

yes,

Given value is Rational. The value is 0.6

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The slope is the rise over the run, also known as the change in y value over the change in x value

m = 2/4  =1/2

We know it is positive since it goes up from the left to the right

hope it helps...!!!!

The probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, In probability theory, "AND" means multiplication and "OR" means "addition".

Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")

So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers

Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so

P(number greater than 2) = 4/6 = 2/3

Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)

Hence,

P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3

Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

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Answer:

p - 70

Step-by-step explanation:

70 less than p

Answer:

p - 70

Step-by-step explanation:

We're looking for the number of drawings Nora made, which is 70 fewer than Elise's, p. In instances like this, always subtract the number of less drawn from the quantity drawn by the other person, which is 70 - p. However, this would almost certainly result in a negative response, which isn't feasible. If you flip them over, you'll get p - 70.

Answer:

TRUE

Step-by-step explanation:

Do the pencil test . It doesnt have repeating X's.

Answer:

It is actually True so when you do it press true

Answer:

Your answers: -5, 0, 1

Step-by-step explanation:

–8 < 3x + 7 ≤ 10 That is the original compount inequality given.

We need to solve it in order to get an easy option.

-15, -5, -3, 0, 1 are the options.

_________________________________________________

Steps to solve:

–8 < 3x + 7 ≤ 10

Subtract 7 from both sides

–8 < 3x ≤ 10 - 7

Now do 10-7

–8 < 3x ≤ 3

Do 3x divided by 3

–8 < x ≤ 1

________________________________________________________

Evaluation and Answer Explanation:

–8 < x ≤ 1

That is your inequality statement.

The inequality statement states that "x" is greater than -8 but less than or equal to 1.

We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.

1 is correct because it is greater than -8 and less than or equal to 1

Now, there are two answers remaining: -15; -5.

Let's try -15.

-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.

**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.

-5 works because it is greater than -8 and less than or equal to 1.

Your answers: -5, 0, 1

Answer:  [tex]2^8 = 256[/tex]

Explanation:

The rule to use is

[tex]a^b \div a^c = a^{b-c}[/tex]

We subtract the exponents.

So in this case,

[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]

Step-by-step explanation:

in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.

what simple figures can we see here ?

I see a rectangle 80m × 130m.

and that leaves for me a right-angled triangle in the upper right corner with the legs of

250-80 = 170 m and 130-50 = 80 m

the area of a rectangle is

length × width

the area of a right-angled triangle is

leg1 × leg2 / 2

the individual areas are

80×130 = 10,400 m²

170×80/2 = 170×40 = 6,800 m²

and that gives us a total for the whole area

10400 + 6800 = 17,200 m²

The radius of the silo is the distance from its center to the outside wall

The radius of the silo is 7 3/8" or 7 3/8 inches

From the question, we have the following parameters:

The radius is then calculated as:

Radius = 0.5 * Diameter

This gives

Radius = 0.5 * 14 3/4"

Evaluate the product

Radius = 7 3/8"

Hence, the radius of the silo is 7 3/8" or 7 3/8 inches

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In total there are 125 refrigerators at the store.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, at a store, 40% of all the refrigerators are silver.

There are 50 silver refrigerators at the store.

Let the total number of refrigerators at the store be x.

Here, 40% of x=50

40/100 ×x=50

0.4x=50

x=50/0.4

x=125

Therefore, in total there are 125 refrigerators at the store.

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Answer:

How much is 240 in into ft 20 ft

Step-by-step explanation:

hope this helps