The image shows a geometric representation of the function f(x) = x^2 + 2x + 3 written in standard form. What is this function written in vertex form?

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

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

f(x) = (x + 1)^2 + 2

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

Answer:

c

Step-by-step explanation:

The equation which represents the total distance is x + 20 = 120. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick is driving to his uncle's house in Greenville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away.

The expression will be written as,

x + 20 = 120

Therefore, the equation which represents the total distance is x + 20 = 120. The correct option is C.

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Answer:

  12,897.69 ft

Step-by-step explanation:

The cable is assumed to be the hypotenuse of a right triangle with side lengths 11520 ft and 5800 ft. Then the length of it (in feet) is ...

  cable length = √(11520² +5800²) = √166,350,400 ≈ 12,897.69 . . . feet

_____

Comment on the question

A cable that long will have considerable sag, so even an answer rounded to the nearest 10 ft is probably in error by quite a bit.

64x^4+1408x^3+11616x^2+ 42592x+ 58549

<---------------------------||----------------------------------------->

           A                                         B

          50 mph                               60 mph

so let's recall that d = rt, distance = rate * time.

both cars start out at the same time, say "t" hours.

after "t" hours car A has covered say "d" miles, since there's a total of 1320, then car B must surely had covered the slack, or 1320 - d.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ A&d&50&t\\ B&1320-d&60&t \end{array}\qquad \implies \begin{cases} ~\hfill \boxed{d}=50t\\ 1320-d=60t \end{cases} \\\\\\ 1320-\boxed{50t}=60t\implies 1320=110t\implies \cfrac{1320}{110}=t\implies 12=t[/tex]

Answer:

the monthly payment is $303.69

Step-by-step explanation:

this is how i got it:

9,550 divided by 100= 95.5

95.5 x 3.18= 303.69

so the monthly payment it $303.69

Final answer:

To find Chico's monthly car payment, divide the total loan amount by $100 to determine the number of units and multiply by the monthly payment per unit, resulting in a monthly payment of $303.69.

Explanation:

The student's question relates to calculating the monthly payment of a car financing plan. To determine Chico's monthly payment for his car loan, we can use the provided information that each $100 of the loan requires a $3.18 monthly payment at an APR of 8.9%. Since Chico is financing $9,550, we first divide this amount by $100 to find the number of 'units' of $100 in the total loan amount. We then multiply that number by the monthly payment per $100 to find the total monthly payment.

Calculate the number of $100 units in the total loan amount: $9,550 / $100 = 95.5 units.

Multiply the number of units by the monthly payment per unit: 95.5 units * $3.18/unit = $303.69.

Therefore, Chico's monthly payment for the car would be $303.69.

Answer:

Step-by-step explanation:

To start with a = 12 (given)

Tan(50) = b / 12

Tan(50) = 1.192

1.192 = b / 12             Multiply both sides by 12

1.192 * 12 = b

b = 14.301

=================

Cos(50) = 12/c

Cos(50) = 0.4628

0.4628 = 12 / c                 Multiply both sides by c

0.4628 * c = 12                 Divide by 0.4628

c = 12/ 0.4628

c = 18.67

Answer:

The answer is 13- cedric Rhen

Step-by-step explanation:

The range for the number of cars sold at the dealership is 13 cars, calculated by subtracting the lowest sales number (4) from the highest (17).

The range for the number of cars sold by the salespeople at the dealership can be calculated by finding the difference between the maximum and minimum sales numbers. First, we identify the highest and lowest sales figures from the list provided. The highest number of sales is 17 (by Mark) and the lowest is 4 (by Manuel).

Now, subtract the minimum from the maximum to get the range: 17 (max) - 4 (min) = 13.

Therefore, the range for the number of cars sold is 13 cars.

Answer:

90 maube

Step-by-step explanation:

Answer:

D. ASA

Step-by-step explanation:

We are given the measure of angle C, the side BC, and the measure of angle B

So we are given an angle, a side, then an angle

Answer:

The correct answer is option C.   AAS

Step-by-step explanation:

From the figure we can see that, two triangles,

ΔABC and ΔBCD

To find the correct option

From figure we can see that,

From ΔABC and ΔBCD we get,

<A = <D  

<C = <B and side BC is common for both the triangles ΔABC and ΔBCD

The order of congruence is

angle, angle and side AAS

The correct answer is option C.   AAS

Answer:202.5 ft

Step-by-step explanation: 1 pace is 2.5 feet so 81 paces are 202.5 feet

ANSWER

[tex]f(1) = - 34[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

[tex]f(1) = - 34[/tex]

The common difference is

[tex]d = 5 - - 8[/tex]

[tex]d = 5 + 8 = 13[/tex]

The recursive definition is given by;

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

for n=2,3,4,...

Answer:

I just took the test and got it right.

Step-by-step explanation:

Answer:

Valid

Step-by-step explanation:

If you draw a square with a side length of 3, that means all the other sides are also 3. So, we can conclude that the area is 9, and that is valid.

Hope... yeah you know the drill.

I'm STILL gonna copyright it.

Copyright Potato 2019.

The difference between the x's -2 and 1 = 3

The difference between the corresponding f(x) values is 3 -0 = 3

The average rate of change is f(x) / x = 3/3 = 1

Answer: the difference in yearly median income for a female vs male at a masters degree level is

$15,642.90/year

Step-by-step explanation:

there are roughly 52.143 week in a year.

the median weekly income for a female with a masters degree is : $901.00

the median weekly income for a male with a masters degree is :

$1,201

so if you multiply $901 x 52.143 you get :

$46,980.84, which is what a female makes in a year with a md

and if you multiply $1,201 x 52.143 you get :

$62,623.74, which is what a male makes in a year with a md

subtract $62,623.74 - $46,980.84 you get :

$15,642.90 / year

Final answer:

The difference in yearly median income for a female versus male at a master's degree level is $89,804.

Explanation:

The difference in yearly median income for a female versus male at a master's degree level is $2,951 per week. To find the yearly difference, we can multiply this average by 52 weeks, which equals $153,452 per year.

Comparing this to the median yearly earnings for a full-time worker over 25 with no higher than a bachelor's degree, which is $63,648, we can see that having a master's degree more than doubles the earning potential.

Therefore, the difference in yearly median income for a female versus male at a master's degree level is approximately $89,804.

if the amount doubles, that means the rate of change is 100%, whatever the current amount + 100% of that amount, so it doubles, rate of increase is 100%.

[tex]\bf \textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2808\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.0\\ t=\textit{elapsed time}\dotfill &8\\ c=period\to &10 \end{cases} \\\\\\ A=2808(1 + 1)^{\frac{8}{10}}\implies A=2808(2)^{\frac{4}{5}}\\\\\\ A\approx 2808(1.74)\implies A\approx 4889[/tex]

Check the picture below.

The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

The measure of arc made by parallel chord in a circle are equal in measure.

The arc made by chord BC is,

arc BC=8x-46°                  .....1

The arc made by chord AD is,

arc AD=5x+26°                 .......2

The chord AD and BC are equal. Thus, the arc made by them should be equal. Thus,

arc BC=arc AD

8x-46°=5x+26°

Simplify it further,

8x-46°=5x+26°

8x-5x=26+46

3x=72

x=(72/3)

x=24°

Put the value of x in equation 1,

arc BC=8x-46°

arc BC=8(24°)-46°

arc BC=192°-46°

arc BC=146°

Thus, the measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

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ANSWER

C. II, III

EXPLANATION

The secant ratio is negative in the second and third quadrants but positive in the first and fourth quadrants.

The given secant ratio is

[tex] \sec(x) = - 2 = - \frac{2}{1} [/tex]

Since the secant ratio is negative, its solution must lie in the third and second quadrant.

The correct answer is C

Answer:

910 bees

Step-by-step explanation:

There are 35 bees in a hive and we have 26 hives.

Take the number of hives and multiply by the number of bees per hive

26*35 =910

There are 910 bees total

If there are 26 hives and there are 35 bees in each hive we can do the simple math of 26x35=910

Answer:

D. 68%

Step-by-step explanation:

The following statistics are given;

sample mean = 47%

s = 5% ; the sample standard deviation

n = 625 ; the sample size

The confidence interval for a population mean is given as;

sample mean ± z-score*[tex]\frac{s}{\sqrt{n} }[/tex]

Substituting the above values we have;

47 ± z-score*[tex]\frac{5}{\sqrt{625} }[/tex]

47 ± z-score*0.2

The confidence interval has been given as;

lower limit = 46.8%

upper limit = 47.2%

We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;

47 - z-score*0.2 = 46.8

-z-score*0.2 = 46.8 - 47

-z-score*0.2 = -0.2

z-score = 1

The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.

Pr( -1<Z<1 ) = 0.68 = 68%

From the Empirical rule

Answer:D. 68

Step-by-step explanation:

Answer:

A. José, Huang, Sam

Explanation:

José’s time is faster than the oldest boy, so he came in 1st or 2nd. It is given that José did not come in second, so he came in first. The remaining places are second and third. It is stated that Huang did not come in third, so Huang came second and Sam came third. The order is José, Huang, and then Sam.

A. josé ,Huang ,Sam

I think the answer should be 6,I just added the two fractions

Answer:

f(x) = 2x+3

g(x) = 1/x^2

Step-by-step explanation:

There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.

When the given expression is evaluated, you ...

• square the variable

• divide 2 by the result

• add 3 to that result

It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.

In our selection of f() and g() above, we have chosen to make g(x) be ...

• square the variable

• find the reciprocal of that result

and we have defined f(x) to be

• multiply that result by 2

• add 3.

__

You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.

_____

Our f(x) and g(x) are ...

g(x) = 1/x^2

f(x) = 2x +3

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6[/tex]

Answer:

  8x² -4x -3

Step-by-step explanation:

The x² terms are "like" terms, so can be combined. They have the same variable to the same power.

  7x² -4x +x² -3

  = (7+1)x² -4x -3 . . . . use the distributive property to rewrite 7x² +x²

  = 8x² -4x -3

Answer:

48

Step-by-step explanation:

[tex] y = \frac{96}{2} = 48 \\ [/tex]

 Even though I'm late it's

5 | 2

6 | 4     7

7 | 4      6

8 | 1       7      9

9 | 3

10 | 8

11 | 4

Well that's what it was for mine, yours seems to be the same one as mine

The stem-and-leaf plot that represents the given data set is shown in the image attached below:

If 74, 75, 76 are data points in a given data set, 7 will be stem, while 4, 5, 6 will be the leaf on the stem-and-leaf plot.

Given the data set, 64,67,81,89,108,114,74,52,93,76,87, the stem-and-leaf plot of the data would be drawn as shown in the image attached below.

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Answer:it is false

Step-by-step explanation:

Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.

The function given is

y = 7x + 5

Let us solve to see whether the inverse is is y = x+5/7 is true or false

The numerator is 7x + 5 and the denominator is 1

The inverse becomes 1 / (7x + 5 )

So it is false

Answer:

The right answer for the question that is being asked and shown above is that: "f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect."  The points of f(x) compared to g(x) is more increasing.

hope this help

The graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

f(x)=ax²+bx+c

Here,(a,b, c) is the real numbers and (x) is the variable.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

An increasing exponential function is eventually exceed an increasing quadratic function.

Thus, the graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

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It’s the first one on the top left corner

Answer:

A (top left)

Step-by-step explanation:

24 / 16 = 1.5

42/28 = 1.5

So SF =

Answer is: A (top left)