f(x)=-(x-1)²+4 determine the vertex

Answer:

12 students like only coffee

12 students like neither of the drinks

Step-by-step explanation:

There are 70 students in total. 40 of them line tea, 24 of them like coffee, and 12 of them like both drinks.

Let's go reasoning step by step.

We have 24 students who like coffee, and we know 12 of them also like tea. The number of students who like only coffee is the difference between those numbers: 24 - 12 =12

12 students like only coffee

With similar reasoning as for part a, 40 students like tea, 12 of which also like coffee, then 40 - 12 = 28 students like only tea.

We have a total of 12 students who like only coffee, 28 students who like only tea, and 12 students who like both. In total there are 12 + 28 + 12 = 52 students who like any or both drinks.

Since there are 70 students in all, we can say 70 - 58 = 12 students don't like coffee nor tea.

12 students like neither of the drinks

Answer:

630

Step-by-step explanation:

350+4000(0.07)

350+280

=630

I think this is right

Answer:

exterior angle

Step-by-step explanation:

Answer:

70 percent

Step-by-step explanation:

Lets assume initial cost price (CP) which is 100.

The profit (P) is 320 (320% of 100 is 320)  understood?

Selling Price (SP) is CP +P. So SP must be 420

so basically Now CP increases by 25%. So new cost price (CP1) is 125.

SP remains constant at 420

New profit (P1) is SP - CP1 = 295

P1 as a percentage of SP is (295/420) x 100 = 70%

Answer:

1)  y = 200x + 120

2) - 200x + y = 120

Step-by-step explanation:

Equation of the line

The equation of the line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

1)

Each shirt costs 200 pesos. Let's assume Jacob purchases x shirts. The cost of the shirts alone is 200x.

Assuming the shipping cost is 120 regardless of the purchased shirts, then the total cost is:

y = 200x + 120

This is the slope-intercept form of the line.

2) Rearranging the above equation:

- 200x + y = 120

It's the standard form of the line

Answer:

y- intercept= -1

Step-by-step explanation:

Answer:

The answer is y=-3/4x+2

Answer: (0,2)

Step-by-step explanation:

The y intercept is where the line crosses over the y-axis. Since the line crosses the y axis at (0,2), the y-intercept is (0,2)

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Answer:

  see below

Step-by-step explanation:

Starting from the point-slope equation ...

  y -y1 = m(x -x1)

Solving for y gives ...

  y = mx +(y1 -m·x1)

So, the slope-intercept form equation is fairly easily found:

  y = mx +b . . . . where m = m, and b = y1-m·x1

This is the equation we have used for 'b' in the attached spreadsheet.

__

Of course, the formula for slope is ...

  m = (y2 -y1)/(x2 -x1)

This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)

__

The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)

_____

I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:

  y = mx +b

1.  y = 2x -7

3.  y = 2/3x +4

8.  y = 1/3x -5

9.  y = -5/2x +4

Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

To learn more about the number formation visit:

https://brainly.com/question/14246357.

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Answer:44.445

Step-by-step explanation:

Let the 5 numbers are a,b,c,d, and e

so (a+b+c+d+e)/5=40

So a+b+c+d+e=5*40=200

Now let the next 4 no are p,q,r,s then

(p+q+r+s)/4=50

p+q+r+s=200

Thus sum of all 9 numbers

=(a+b+c+d+e) +(p+q+r+s)

=200+200=400

thus average of these 9 numbers

If the mean of 4 numbers is 40. Then the sum of the numbers will be 160.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean of 4 numbers is 40.

Mean = (Sum of the number) / (Number of the observation)

Mean = 40

Number of the observation = 4

Then the sum of the numbers will be

                             40 = (Sum of the number) / 4

Sum of the numbers = 160

More about the mean link is given below.

https://brainly.com/question/521501

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Answer: 2

Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.

Answer:

I know that number four is A because the x repeats

Answer: The answer is that number four is A because the x repeats. (For both numbers.)

Step-by-step explanation:

Answer:

is a right triangle

is an a isosceles triangle

angles a and c are complementary

are supplementary

that seem like it but im not intirerly sure

also sorry i cant spell right

Answer:

-10

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The line goes through the point 1, so that will be the slope.

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

Answer:

1,941.381

Step-by-step explanation: Original answer is 1,941.38095

By rounding to the fourth decimal place = 1,941.381

There are 2 answers since this is a quadratic equation. They way you find it is check the [tex]x[/tex] values for which lie on the graph of the equation given and also on the graph of: [tex]y = 4[/tex]

In this case, it would be [tex]-0.8[/tex] and [tex]3.8[/tex]

Answer:

cylinder

Step-by-step explanation:

Answer: I'm willing to help but, I can't see the screenshot of wat u need help wit.

Answer:

Solution  = = 5

Step-by-step explanation:

1. Rearrange Terms

100 + 30x = 50x

30x + 100 = 50x

2. Subtract 100 from both sides

3. Simplify

4. Subtract 50x from both sides

5. Simplify

Please let me know if you need anymore help!

Thank You and Good Luck! :)

Answer:

johnns height 4cm to Robin's height

The ratio of John's height to Robin's height is 20:19.

To find the ratio of John's height to Robin's height, we need to convert their heights to the same unit of measurement. Let's convert Robin's height from centimeters to meters:

Robin's height = 156 cm = 156/100 m = 1.56 m

Now that both heights are in meters, we can calculate the ratio:

John's height: Robin's height = 1.6 m : 1.56 m

To simplify the ratio, we can divide both heights by the same value:

1.6 m : 1.56 m = (1.6/0.08) m : (1.56/0.08) m = 20 : 19

Therefore, the ratio of John's height to Robin's height is 20:19.

To know more about ratios:

https://brainly.com/question/29254296

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Answer:

x=-14

Step-by-step explanation:

think the number is x

According to the question

x/7+12=10

=>x+84=70 (multiply both side by 7)

=>x=70-84

x=-14

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Hint :

Equilateral triangle has same sides and same angles.

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Suppose that one of the angles has a measure of y .

So angles are : y , y and y

_________________________________

Sum of the interior angles of any triangle is 180° .

_________________________________

According above :

[tex]y + y + y = 180°[/tex]

[tex]3y = 180°[/tex]

Divide sides by 3

[tex] \frac{3y}{3} = \frac{180}{3} \\ [/tex]

[tex]y = 60°[/tex]

We found that the measure of the angles are equal , so this is the measure of all three angles.

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Question gave us one of the angles as

4x -12 .

So ;

[tex]4x - 12 = 60[/tex]

Add sides 12

[tex]4x - 12 + 12 = 60 + 12[/tex]

[tex]4x = 72[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{72}{4} \\ [/tex]

[tex]x = \frac{9 \times 2 \times 4}{4} \\ [/tex]

[tex]x = 9 \times 2[/tex]

[tex]x = 18[/tex]

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We found that sides are same ,

So :

[tex]BZ = DB = DZ = 7x + 119 \\ [/tex]

Thus :

[tex]DB = 7x + 119[/tex]

[tex]DB = 7(18) + 119[/tex]

[tex]DB = 126 + 119[/tex]

[tex]DB = 245[/tex]

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The correct answer is Option three .

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Answer:

z = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

z+7=−z+1

Step 2: Add z to both sides.

z+7+z=−z+1+z

2z+7=1

Step 3: Subtract 7 from both sides.

2z+7−7=1−7

2z=−6

Step 4: Divide both sides by 2.

2z   =  −6

2      2

z=−3

Answer:

Why you delete my answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

im sorry if its wrong but i think its correct

Answer:DDDDDD

Step-by-step explanation:

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.