Which is an x-intercept of the graphed function?
O (0,4)
O(-1,0)
O (4, 0)
O (0,-1)

9514 1404 393

Answer:

  y = 1/4x^1 -x -4

Step-by-step explanation:

Same question as previous parts. The working is identical, using different numbers.

Focus-vertex distance is (y-difference) p = -4-(-5) = 1. Vertex is (h, k) = (2, -5). Putting these values into the vertex form and expanding to standard form, you get ...

  y = (1/(4p))(x -h)^2 +k

  y = 1/4(x -2)^2 -5 . . . . . . . . fill in the values for p, h, k

  y = 1/4(x^2 -4x +4) -5 . . . .  expand the square

  y = 1/4x^2 -x +1 -5 . . . . . . . use the distributive property to eliminate parens

  y = 1/4x^1 -x -4 . . . . . . . . . collect terms

_____

Additional information may be found at ...

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Answer:

[tex]\displaystyle \frac{118}{125}[/tex]

Step-by-step explanation:

Trigonometry

Calculate

[tex]\sin (3\sin^{-1}(2/5))[/tex]

We use the formula for the sine of triple angle:

[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]

And recall:

[tex]\sin \sin^{-1}x=x[/tex]

For this problem, we set:

[tex]x=\sin^{-1}(2/5)[/tex]

Thus:

[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]

[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]

[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]

Answer:

Step-by-step explanation:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

Answer:

The amount of intrest gained was B. $7.50

Step-by-step explanation:

Mark invested $125.

He gaines 3% per year and he did it for 2 years.

.03 x 2 =.06

125 x .06 = 7.50

B. $7.50

Hope this helps!

:)

Answer:

solution

or, (N+1) th item

_

2

or ,8+1 th item

_

2

or,9

_

2

or,4.5 th item hence the median is4

The median of the given numbers will be 8.5.

The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.

The given data is:-

1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8

The total numbers of the data are 8 so the median will be calculated as:-

Median = ( 4 + 13 ) / 2

Median = 17 / 2

Median = 8.5

Therefore the median of the given numbers will be 8.5.

To know more about median follow

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Answer:

$13.50

Step-by-step explanation:

5 bags is 22.50 so 22.50/5 = 4.50 for 1 bag. Multiply that by 3 for 3 bags and get $13.50

Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\boxed{x=-10}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Simplify:

-1(4+x)=6

-4-x=6

Add 4 to both sides:

-4+4-x=6+4

-x=10

Divide both sides by -1 in order to get rid of the minus sign:

x=-10

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156

Answer:

use your scientific calculator and click shift + mode or just mode , after that select the table option and enter the equation that u see and then set the step to 1 (start = -2 , end = 3) and step =1

Answer:

The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10

Step-by-step explanation:

Answer:

30/ [5x2]

30/ 10=3

Step-by-step explanation:

Answer:

the answer is d because it

Answer:

9

5

Step-by-step explanation:

Wyatt's class:

Each group of 3 students eats 1 1/2 pizzas.

There are 18 students.

18/3 = 6

There are 6 groups of 3 students.

Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat

6 * 1 1/2 = 6 * 3/2 = 18/2 = 9

Answer: 9 pizzas

Jennifer's class:

There are 15 students. Each student eats 1/3 of a pizza.

15 * 1/3 = 15/3 = 5

Answer: 5 pizzas

Answer:

9

5

Answer:

Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:

(7-10)/(7-11) = (168-y)/(168-264)

y = $240

For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):

m = (20 - 40)/(1-2) = 20

Then, since the y-intercept is zero, the linear equation is:

y = 20x

Substituting x = 10 hours,

y = 20(10) = $200

The difference between the two would then be:

Difference = $240 - $200 = $40

Answer:

The answer is x=y/6 - 0.383 (3 being repeated) , hope this helps you.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

I think it is x=y/6 - 0.383 (3 being repeated)

Step-by-step explanation:

Hope this helped have an amazing day!

Step-by-step explanation:

Answer

[tex] {a}^{3} - {b}^{2} [/tex]

[tex] = {3}^{3} - { \frac{1}{2} }^{2} [/tex]

[tex] = 27 - \frac{1}{4} [/tex]

[tex] = \frac{107}{4} [/tex]

[tex] = 26 \frac{3}{4} [/tex]

sorry if wrong :)

Answer:

A or B

Step-by-step explanation:

Its more likely B

Answer:

the highest common factor of the polynomial is (x + 2) (x - 3)

Step-by-step explanation:

The computation of the highest common factor of the polynomial is as follows:

According to the question, the following equation is given

'[tex]x^2 - x - 6[/tex]

Now do the factorization

[tex]x^2 -3x + 2x - 6[/tex]

x(x - 3) +2 (x - 3)

(x + 2) (x - 3)

hence, the highest common factor of the polynomial is (x + 2) (x - 3)

The same is to be considered

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

[tex]a ^{2} + b^{2} = {c}^{2} [/tex]

[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]

Therefore x = 4

Answer:

  c)  $51,450

Step-by-step explanation:

  Current payroll:

     21 * 49000 = $1,029,000

  Payroll after 5% increase:

     1029000 * 1.05 = $1,080,450

  Difference between after increase and current payroll:

     1080450 - 1029000 = $51,450

Answer:

the answer is 70

Step-by-step explanation:

Answer:

c. 2640

Step-by-step explanation:

20 x 12 x 11 = 2640

Answer: C. 2,640

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

When we roll 2 dice, there are 36 possible rolls

How can we get 4

1and 3, 3 and 1, 2 and2 = 3 different rolls

P( 4) = number of rolls with sum of 4/ total rolls

        = 3/36 = 1/12

Answer:

-1

Step-by-step explanation:

not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4

Answer:

43 9

Step-by-step explanation:

sum of their ages is 52

let Jack's age be x = 5×x= 5x

his father's age is 2<5x

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8