What are the x-intercepts of the quadratic functions f(x) = (x + 7)(x − 5)?

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

                                          = 10!

                                          = 10*9*8*7*6*5*4*3*2*1

                                          = 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of  L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are  

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

  =  10! / (2! 2! 2 !)  

  = 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

  = 3628800 / 2 * 2 * 2

  =  3628800 / 8

  =   453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

 1 / total number of different permutations  

= 1 / 10! / (2! 2! 2 !)  

= 1/453600

= 0.000002

Answer:

Step-by-step explanation:

If a point (x, y) is rotated counterclockwise by the angles given in the table attached,

Rule for the rotation at an angle of 90° CCW about the origin,

(x, y) → (-y, x)

Rule for the rotation at an angle of 180° CCW about the origin,

(x, y) → (-x, -y)

Rule for the rotation at an angle of 270° CCW about the origin,

(x, y) → (y, -x)

Rule for the rotation at an angle of 360° CCW about the origin,

(x, y) → (x, y)

Angle of rotation         x'         y'

90°                               -y         x                          

180°                              -x        -y

270°                              y        -x

360°                              x         y

Answer:

Angle of Rotation (CCW) x′ y′

90°   −y x

180°  −x −y

270°   y −x

360°        x   y

Answer:

The correct answer is x = 2.

Step-by-step explanation:

To solve this problem, we should first remember that in solving equations, our goal is to get the variable (in this case, x) by itself on one side of the equation.  To do this, we must divide both sides of the equation by 9 to get rid of the coefficient on the x term.  This is modeled below:

9x = 18

9x/9 = 18/9

x = 2

Therefore, the correct answer is x = 2.

To check your answer, you can always plug the value for x back into the equation.  For example, 9(2) = 18 is a true statement, so we know that we got the correct answer.

Hope this helps!

The value of x from the equation 9x = 18 is x= 2.

To find the value of x in the equation 9x = 18, we need to isolate x on one side of the equation.

To do that, we can divide both sides of the equation by 9:

(9x) / 9 = 18 / 9

Simplifying:

x = 2

Therefore, the value of x is 2.

We can also say that,

By dividing both sides of the equation by 9, we determined that when x is multiplied by 9, it equals 18, so x must be 2 in order for the equation to be true.

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Answer:

x/4+1

Step-by-step explanation:

Because it says one more than the quotient, we are dealing with addition and division. 1 more means plus 1.  The quotient of a number x and 4 means the answer to the division problem of x and 4. This means x/4. Then add all parts of the problem to get x/4 +1

Answer:

40x2+133x+2248

Step-by-step explanation:

20(2x2+82+7x)−(7x+4−612)

Distribute the Negative Sign:

=20(2x2+82+7x)+−1(7x+4−612)

=20(2x2+82+7x)+−1(7x)+(−1)(4)+(−1)(−612)

=20(2x2+82+7x)+−7x+−4+612

Distribute:

=(20)(2x2)+(20)(82)+(20)(7x)+−7x+−4+612

=40x2+1640+140x+−7x+−4+612

Combine Like Terms:

=40x2+1640+140x+−7x+−4+612

=(40x2)+(140x+−7x)+(1640+−4+612)

=40x2+133x+2248

Answer:

55 days

Step-by-step explanation:

Given

Jim ran 15 miles in 5 days

no. of miles ran in 5 days = 15 miles

dividing LHS and RHS by 5

no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles

no. of miles ran in 1 day =  3 miles

let the no. of days taken to run 165 miles be x   ----A

No of miles ran in x days = x*no. of miles ran in 1 day = 3x miles

thus,  From A

3x  = 165

x = 165/3 = 55

Thus, it took 55 days for JIM to run 165 miles

Answer:

The answer is D. 7/11 it's just simple addition.

Answer:

Well if a story is 14-16 feet tall, then it would be about 50 floors.

Step-by-step explanation:

Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.

Answer:

Step-by-step explanation:

-3x+3<6​

-3x=3

x=-1

Answer:

-1 or -x (Same thing...)

Step-by-step explanation:

6-3=3

3/-3=-x

-x=-1

-1

Answer:

95°

Step-by-step explanation:

y° = 180° - (55° + 30°)

y° = 180° - 85°

y ° = 95°

y = 95

x = y ( vertical angles)

x = 95°

Answer:

11480.50 x 110% = 12628.55

Step-by-step explanation:

100% is the current price (11480.50), the current price has already been discounted by 10%.

so now add the the amount deducted back into the current price (100% +10%) to find the initial price.

Answer: 5 and 5/8

Step-by-step explanation: To write an improper fraction as

a mixed number, we divide the denominator into the numerator.

So in this problem, we divide 8 into 45.

8 divides into 45 five times with a remainder of 5.

Also, the denominator of the improper fraction

will become the denominator of the mixed number.

So we have 5 and 5/8

The fraction 45/8 is equal to the mixed fraction 5 5/8.

To convert the fraction 45/8 into a mixed fraction, follow these steps:

Step 1: Divide the numerator (45) by the denominator (8) to determine the whole number part of the mixed fraction.

45 ÷ 8 = 5 with a remainder of 5

Step 2: The quotient obtained in Step 1, 5, represents the whole number part of the mixed fraction. The remainder, 5, becomes the new numerator.

Step 3: Write the mixed fraction using the whole number, numerator, and denominator.

The mixed fraction is 5 5/8.

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Answer:

1200 feet

Step-by-step explanation:

Answer:

The correct answer to this question is 1200 feet

Step-by-step :

If you're starting at -150, It would take exactly 1200 feet to go from -150 feet to 1350 feet . Here's your answer : Tina hiked 1200 feet to reach the top of the mountain

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 14 = - 6 + 12x}[/tex]

Move 12x to left hand side and change it's sign

⇒[tex] \sf{2x - 12x + 14 = - 6}[/tex]

Move 14 to left hand side and change it's sign

⇒[tex] \sf{2x - 12x = - 6 - 14}[/tex]

Collect like terms

⇒[tex] \sf{ - 10x = - 6 - 14}[/tex]

Calculate

⇒[tex] \sf{ - 10x = - 20}[/tex]

Divide both sides of the equation by -10

⇒[tex] \sf{ \frac{ - 10x}{ - 10} = \frac{ - 20}{ - 10} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

D

Step-by-step explanation:

-2x × -3x^2 +-2x ×4x +-2x×5 +-8×-3x^2 + -8×4x+ -8×5

6x^3-8x^2-10x+24x^2-32x-40

6x^3+16x^2-42x-40

Answer:

6

Step-by-step explanation:

Answer:

1.2 or 6/5

Step-by-step explanation:

2/3 = .6

.6 * 2 = 1.2

1.2 = 6/5

The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

2/3 of a gallon per 1/2 hour.

In 1 hour = 2 ×  in 1/2 hour

Gallons per hour = 2 × 2/3 = 4/3

Hence "The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3".

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Answer: -48x³y^4 (the option at the bottom left)

Step-by-step explanation:

 -6x²y × 8y³x

=-48x³y^4 ⇔ multiplication in exponents with same base works as addition

Hope this helps!! :)

Please let me know if you have any question

Answer:

the solution is C. identical

Step-by-step explanation:

slope of parallel lines are the same

Answer:

the slopes of parallel lines are : C. identifical

Answer:

The correct expression should be..

5x^2+3x

Step-by-step explanation:

You want to add the variables of the same kind like put all the numbers together, x^2 together, and the x in one too.

-10       1x^2         2x

+10       1x^2         1x

+5         1x^2

+5         2x^2

-10

___________________

0            5x^2         3x

Answer:

32 Fahrenheit

Step-by-step explanation:

Since it is -8, subtract -8.

Now, you have 0 Fahrenheit.

Then, you add 24, since the high was -24 Fahrenheit.

The total number you added and subtracted is 32 Fahrenheit.

Hope this helps!

Step-by-step explanation:

100+29=129

Its so simple....

Answer:

[tex]y=5^{x}\\y=5^{7}=78125[/tex]

Step-by-step explanation:

[tex]y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125[/tex]

Answer: The distance between (27, -8) and (15, -3) is 13 units.

Step-by-step explanation:

Use the distance formula to calculate the distance between these two points. Just by plugging in the given ordered pairs, you can simplify and solve down to get an answer of 13 units.

Answer:

The last one is the answer

Step-by-step explanation:

Answer:

EF = 34

Step-by-step explanation:

EF + FG = EG , substitute values

17x + 3x + 7 = 18x + 11, that is

20x + 7 = 18x + 11 ( subtract 18x from both sides )

2x + 7 = 11 ( subtract 7 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus

EF = 17x = 17(2) = 34

Answer:

34

Step-by-step explanation:

g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.

EF=17x, FG= 3x+7, EG = 18x+11

17x+3x+7=18x+11

Combine like terms.

20x+7=18x+11

-7          -18x

Isolate x.

2x = 4

Divide both sides by 2.

x=2

Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.

17x = 17(2) = 34

Answer:

  v ≈ (3.28512, 20.74146)

Step-by-step explanation:

  v = 21(cos(81°), sin(81°))

  v ≈ (3.28512, 20.74146) . . . . (x, y) components

The notation varies among authors. The vector can be written as ...

  (r, θ) = (21, 81°)

  r∠θ = 21∠81°

  r cis θ = 21 cis 81°

  v = 21·e^(i·9π/20)

  (x, y) ≈ (3.28512, 20.74146)

  v =  3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating part after the decimal point. Then by subtracting the repeating part is eliminated

let x = 0.1111.... → (1) ← multiply both sides by 10

10x = 1.1111.... → (2)

Subtract (1) from (2) eliminating the repeater, that is

9x = 1 ( divide both sides by 9 )

x = [tex]\frac{1}{9}[/tex]

That is

0.111111... = [tex]\frac{1}{9}[/tex]