Find f(2) if f(x) = (x + 1)2
5
6
9​

Answer:

The vertex of this parabola is [tex](-2,-11)[/tex]

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation [tex]-\frac{b}{2a}[/tex]

From the function [tex]f(x)=x^2+4x-7[/tex], we can see that

[tex]a=1\\b=4\\c=-7[/tex]

This means that

[tex]-\frac{b}{2a}=-\frac{4}{2(1)} =-2[/tex]

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

[tex]f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11[/tex]

Thus, the vertex of this parabola is [tex](-2,-11)[/tex]

Answer:

2x+6=100(being vertically opposite angle)

2x=100-6

2x=94

x=94/2

x=47

Answer:

Every real number is a solution.

Step-by-step explanation:

−3 (x − 2) = 6 − 3x

(−3) (x) + (−3) (−2) = 6 + −3x

−3x + 6 = 6 + −3x

−3x + 6 = −3x + 6

−3x + 6 + 3x = −3x + 6 + 3x

6 = 6

6 - 6 - 0

0=0

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

                                     [tex]=3\times 4\\\\=12[/tex]

Thus, Mr. Johnson has 12 possibilities.

Answer:

B 6.68

Step-by-step explanation:

The solution is, 30.854% is the percentage of tires are underinflated.

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

First, we find the z-score corresponding to the value given

z-score = (x - mean)/SD

Z-score = (36-35)/2 = 1/2 = 0.5

we find the Probability of (x > 0.5)

we use the standard normal distribution table for this

P( x > 0.5) = 0.30854

This has a percentage 30.854%.

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Answer:3/2

Step-by-step explanation:

i just had this on a test a triangle always equals this

The ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, a triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm.

The ratio of the lengths is 3.2:4.8:3.6

= 1.6:2.4:1.8

= 0.8:1.2:0.9

Therefore, the ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

To learn more about the ratio visit:

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Answer:12

Step-by-step explanation: formula a(a+b)=c(c)

4(4+x)=8(8)

16+4x=64

4x=48

X=12

Answer:

6

Step-by-step explanation:

I took the test

Answer:

A. 34in

Step-by-step explanation:

If James completely covered a square poster board using 68.2 inches with an exponent of 2, the the total perimeter of the square will be;

P = 2(68.2) = 136.4in

Since the perimeter of a square is expressed as:

P = 4L

136.4 = 4L

L = 136.4/4

L = 34.1in

Hence the measurement of one side of the square poster is closest to 34in

Answer:    1/4 or 0.25

Step-by-step explanation:

If you have any more problems just use ”Mathaway”. I hope this helps!

Answer:

#8. M = -8/9

#9. M = 3/5

Answer:

(g/8) - 17

Step-by-step explanation:

Given that:

Number of employees = 8

Employees sold a total of g games

Chris sale = 17 fewer than team Average

Number of games Chris sold :

Team average :

Total sales made / number of employees

Team average = g/ 8

Number of games sold by Chris:

(g/8) - 17

Answer:

x= 10

Step-by-step explanation:

(8x+5)+(3x+25)+(4x)=180

15x+30=180

15x=150

x=10

Answer: y = -5x +1

Step-by-step explanation:

y+9 = -5(x-2)

y+9 = -5x+10

y     = -5x+1

Answer:

45

Step-by-step explanation:

(3)(7)−(6)(−4)

=21−(6)(−4)

=21−(−24)

=45

Answer:

mean is the average of the numbers (add them all up then divided by how many number there are)

mode is the number that comes out the most often

range is the largest number minus the smallest

median is the middle number when they are lined up from greatest to the least  (unless there's two)

Step-by-step explanation:

a song we learned in 5th grade XD that i still remember somehow

Answer:

This is what mean, median, and mode are-

Step-by-step explanation:

Mean is when you add all the number there are and divide by the total of numbers that you added together like this for example.

(1+2+3+4+5 = 15) THEN (15 / 5 = 3) THE MEAN IS 3.

Median is when you group the number from smallest to biggest and keep on crossing out both side of the number till you reach the middle.

(1, 2, 3, 4, 5) YOUR MEDIAN SHOULD BE 3 CAUSE IF YOU CROSS OUT 1,5 THEN 2,4 YOU WILL GET 3.

Mode are the most common number that you will see. You could have no mode or many mode too.

(1, 2, 2, 3, 4, 5) THERE IS ONLY ONE MODE HERE WHICH IS 2.

(1, 2, 3, 4, 5) THERE IS NO MODE CAUSE THERE IS NO REPEATING NUMBER.

(1, 2, 3, 4, 4, 5, 5) THERE IS TWO MODE NOW WHICH ARE 4 AND 5.

HOPE THIS HELPS!

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

Answer:

put the first answerer as brainliest, i just saw no one else has answered this.

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

This is a vertical line and cannot be written in any form.

Answer:

x=60

Step-by-step explanation:

the angle size is half the size of 120 if you draw it out with protractor it will come out to be an angle measurement of 60

Answer:

Hello, the answer is $7.50 dollars.

5% is 0.5.

You multiply $150 by 0.5, then you get $7.50 dollars as the answer.

Answer:

The dollar bills d are the independent variable while the number of quarters q are the dependent variable

Step-by-step explanation:

Here, we want to state the variable that is dependent and the one that is independent

from the question, she has to put in dollars to get the quarters

so the number of quarters she gets is dependent on the number of dollars put into the machine

Thus, we can conclude that;

The dollar bills are the independent variable while the number of quarters q are the dependent variable

Independent variables are those who are not dependent on other variables. In contrast, their exists dependent variables whose value depends on some other variable(s)' value(s).

For given case, the number of dollar bills 'd' is independent variable with respect to variable 'q'.

The number of quarters 'q' is dependent variable.

Independent variables are those who are not dependent on other variables for their evaluation.

Those variables whose value is decided by the values of other variables. This shows that the variable in consideration is dependent on other variables for its values, thus called dependent variable.

If you see it carefully, you'll see that the quarters received from the change machine is depending on how much dollar bills you're feeding to the machine.

Thus, the value of 'q' is dependent on the value of d.

But since d takes its value independent of q (it exists before q exists and doesn't need q to get its values), thus, d is not dependent on q or is independent variable with respect to q(i said "with respect to q" since d might be dependent on some other variable which we do not know right know)

Thus:

The variable 'q' is dependent variable (depends on d)

The variable 'd' is independent variable with respect to 'q.

Learn more about dependent and independent variables here;

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Answer:

good luck with tht bro.....

Answer:

18 if you multiply

Step-by-step explanation:

Answer:

multiply

Step-by-step explanation:

The * sign is a way to show multiplication so that the "x" variable isn't mistaken for you to multiply or vice versa.

-3 * -6 = 18 because a negative number times a negative number has the sum of a positive number.

Answer:

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Step-by-step explanation:

Given

[tex]21\:\times \:14[/tex]

Line up the numbers

[tex]\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}[/tex]

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

Multiply the bold numbers:    1×4=4

[tex]\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}[/tex]

Multiply the bold numbers:    2×4=8

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the top number by the bolded digit of the bottom number

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the bold numbers:    1×1=1

[tex]\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}[/tex]

Multiply the bold numbers:    2×1=2

[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}[/tex]

Add the rows to get the answer. For simplicity, fill in trailing zeros.

[tex]\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}[/tex]

adding portion

[tex]\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}[/tex]

Add the digits of the right-most column: 4+0=4

[tex]\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}[/tex]

Add the digits of the right-most column: 8+1=9

[tex]\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}[/tex]

Add the digits of the right-most column: 0+2=2

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Therefore,

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Answer:

commutative property

Step-by-step explanation:

Answer:

Smallest length side = 12 ft

Middle length side = 28 ft

Longest length side = 32 ft

Step-by-step explanation:

Perimeter of ∆ = sum of all its length sides

Thus, we are given that:

Perimeter = 72 ft

Let x represent the smallest length side. Therefore:

Smallest length side = x ft

Middle length side = (2x + 4) ft

Longest length side = (3x - 4) ft

Thus:

(2x + 4) + (3x - 4) + x = 72

Solve for x

2x + 4 + 3x - 4 + x = 72

Collect like terms

2x + 3x + x + 4 - 4 = 72

6x = 72

Divide both sides by 6

x = 72/6

x = 12

Find the length of all 3 sides by plugging in the value of x in each expression:

Smallest length side = x ft = 12 ft

Middle length side = (2x + 4) ft = (2(12) + 4) = 24 + 4 = 28 ft

Longest length side = (3x - 4) ft = (3(12) - 4) = (36 - 4) = 32 ft

9514 1404 393

Answer:

  Y = 6.5°

Step-by-step explanation:

We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...

  cot(90 -(3Y+32)) = cot(Y+32)

  58 -3Y = Y +32

  26 = 4Y

  6.5 = Y

One solution is Y = 6.5°.

_____

Additional solutions are found at integral multiples of 45° added to this value.

Answer:

option 4; 0

Step-by-step explanation:

[tex]f(x) = \left \{ {{2x + 7; x<1 } \atop {10 - 5x; x \geq 1}} \right.[/tex]

Substitiute in "2" for "x".

Since "2" is greater than "1", then the second equation must be used.

Substitute in "2" of "x".

10 - 5x

10 - 5 * 2

10 - 10

0

Option 4 is 0.