F(x)=2x^2+16x-7 in vertex form

If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.

There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.

Hope that helped!

Answer:

[tex]36n^2+12n+1[/tex]

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this [tex](6n+1)*(6n+1)[/tex]

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = [tex]6n *6n = 36n^2[/tex]

2. Add the first number by itself = [tex]6n+6n = 12n[/tex]

3. Multiply the last number by itself = [tex]1*1 =1[/tex]

4. Combined to form your answer = [tex]36n^2+12n+1[/tex]

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

Answer:

15 out of 21 boys brought their lunch to school

Step-by-step explanation:

We need to get the denominator the same!

3/5 x 7 = 21/35

3/7 x 5 = 15/35

15 out of 21 boys brought their lunch to school :)

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Have an amazing day!!

Answer:

the answer would be 15/21 my friend :) please rate 5 stars and give brainlest.

Step-by-step explanation:

Answer:

434

Step-by-step explanation:

310 * 1.4 = 434

or if you want to break it up more:

10% of 310 = 31 (to get 10% divide by 10)

to get from 10% to 40% multiply your answer by 4

31 * 4 = 124

so 40% = 124

this means over the three months Allison's rock collection increased by 124.

to get the total amount of rocks Allison has now add the increase to the original value

310 + 124 = 434

I would say proportional because the rise/run is constant

Answer:

60 US Quarts

Step-by-step explanation:

15 gallons = 60 US Quarts

Answer:

60 US QUARTS

Step-by-step explanation:

Since, 1 gallon = 4 US QUARTS

15 gallons = x

Therefore, 15 gallons × 4 US QUARTS / 1 gallon

= 60 US QUARTS

Answer:

34.93

Step-by-step explanation:

find area of semicircle=(pi×radius squared)/2=27.7

find area of rectangle=base×height=47.04

74.74=total area

if one box covers 12 how many boxes cover 74.74=6.2283 but you cannot buy .2283 of fertiliser so you round up to 7 boxes

so total cost becomes 7×4.99=34.93

Thus 16:8 and 2:1 are equivalent.

→ 16:8

divide both by 8

[tex]\rightarrow \sf \dfrac{16}{8} :\dfrac{8 }{8}[/tex]

simplify

→ 2 : 1

Answer:

Yes! Because they are in proportion: 1x8 = 8, 2x8 = 16 therefore, 2:1 and 16:8 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number.

Step-by-step explanation:

If you need further help, feel free to let me know. I noticed you've posted 2 of the same type of questions - is there anything you are confused about?

Answer:

Trent drank more Water than Nicholas because 3/5 is bigger than 2/3

Answer:

A = 40

B = 90

C = 53.5

D = 34

E = 90

F = 52.9

G = 90

H = 59.6

I = 104.5

J = 45

K = 90

L = 72

M = 107.3

N = 47.7

O = 36

P = 90

Answer:

Combined Weight Change = -35 lb / 4 total people = Avg weight change per person of -8.75 lb.

Step-by-step explanation:

Answer:

each person will get 3/4 of a brownie

Step-by-step explanation:

If you divide 3 into 4 you get 3/4

[tex]3/4 = \frac{3}{4}[/tex]

Answer:

x + y - 13

Step-by-step explanation:

It has three terms, or numbers or variables

Answer:

option 1

Step-by-step explanation:

A expression that has 3 terms is called trinomial.

x + y - 13  -----> trinomial

Answer:

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-\frac{1}{2}x+5[/tex]

[tex]\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

Isolate x for 3x+10=16(-1/2x+5): [tex]x=\frac{70}{11}[/tex]

[tex]\mathrm{For\:}y=-\frac{1}{2}x+5[/tex]

[tex]\mathrm{Substitute\:}x=\frac{70}{11}[/tex]

[tex]y=-\frac{1}{2}\cdot \frac{70}{11}+5[/tex]

[tex]-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}[/tex]

[tex]y=\frac{20}{11}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Answer:

Lia traveled faster because her distance surpassed Sydney's distance after the first hour.

Step-by-step explanation:

8% written and decimal and fraction are 0.08 and 2/25 respectively

Given the percentage of fiber expressed as 8 %

We are to write 8% in both decimal and fraction form

Decimal form of 8% is 0.08

Fractional form of 8% = 8/100 = 2/25

Hence 8% written and decimal and fraction are 0.08 and 2/25 respectively

Learn more on decimal and fractions here:https://brainly.com/question/703656

Answer:

*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*

1a) 1/6

There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be 1/3. There are two options you can get when flipping a coin, so the chance of getting a head is 1/2. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.

1b) 1/4

There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to 1/2. The chance of landing on a tail is also 1/2, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.

2) 1/8

Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.

3a) 1/8

There are 4 shirt options to choose from. The chance of picking blue is 1/4. There are 2 pant options. The chance of picking black is 1/2. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.

3b) 1/4

There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is 1/2. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.

Answer: 49B

Step-by-step explanation: Its the right answer

Answer:

32b + 12

Step-by-step explanation:

Add up all the values with b in them, so 15 + 5 + 12 = 32. Then, add the whole number. Your simplified answer should be 32b + 12.

Hopefully this helps- let me know if you have any questions!

Answer: The integers has an absolute value of 53.

Step-by-step explanation:

Given that:

George wrote an integer ;

Let integer = y

Opposite of integer = - 53

From the options given, the best conclusion that must be true is to say George's integer has an absolute value of 53. Because an absolute value clears our doubt of the integer being positive or negative. Also, an absolute value cannot be negative.

Also, an integer of - 53 cannot have an opposite value of - 53

Answer:not sure but I would go with 1.11.11

Step-by-step explanation:

Answer:

use the formula for circumference

Step-by-step explanation:

Answer:

706.8 if rounded then its 706.9

Answer:

-2/3

Step-by-step explanation:

The slope is the coefficient of the variable x when it comes to graphing. In this equation, relatively no change needs to be made, as the y-intercept is on one side while the slope doesn't need to move.

Answer:

m= - 2/3

Step-by-step explanation:

could i have brainiest answer thankss friend :)

The average rate of change in f(x) over (1,5) is -6.

Given function is:

[tex]f(x) =17-x^{2}[/tex]

[tex]f(5) = -8\\\\f(1) = 16[/tex]

The average rate of change is a measure of how much the function changed per unit, on average, over that interval.

We know that

The average rate of change in f(x) over (a,b) is given by:

The average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

So, The average rate of change in f(x) over (1,5) = [tex]\frac{f(5)-f(1)}{5-1}[/tex]

The average rate of change in f(x) over (1,5) = [tex]\frac{-8-16}{5-1}[/tex]

The average rate of change in f(x) over (1,5) = -6.

Therefore, the average rate of change in f(x) over (1,5) is -6.

To get more about the average rate of change visit:

https://brainly.com/question/8728504

Answer:

-6

Step-by-step explanation:

Answer:

polyminal

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.

Example 2:

The polynomial

x2−2

is irreducible over the integers. However, we could factor it as

(x−2√)(x+2√)

if we are allowed to use irrational numbers. So the irreducibility of a polynomial depends on the number system you're working in.

Answer: 5 + 2x = 3.75x

Step-by-step explanation:

From the question, they could either park in the lot that charges $5 and then $2 an hour, or they could park using the meter on the street that charges $3.75 per hour.

The equation that describes when the cost is the same at both locations goes thus:

Let the number of hours used be x

The equation can then be written as:

$5 + $2x = $3.75x

5 + 2x = 3.75x

The expression which is equivalent to the provided expression of variable x is,

[tex]\dfrac{1}{1000x^3}[/tex]

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expression in the problem is,

[tex](10x)-3[/tex]

Let the equivalent expression of this expression is f(x). Thus,

[tex]f(x)=(10x)^{-3}[/tex]

The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,

[tex]f(x)=\dfrac{1}{(10x)^{3}}[/tex]

Solve it further as,

[tex]f(x)=\dfrac{1}{(10)^3(x)^{3}}\\f(x)=\dfrac{1}{1000x^3}[/tex]

Hence, the expression which is equivalent to the provided expression of variable x is,

[tex]\dfrac{1}{1000x^3}[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

Answer:  C

Step-by-step explanation: