write the equation of a parabola that has the same shape as y=6x^2 but with the vertex (-1,7) write in the form a(x-b)^2+k

Answer:

See the picture below

Step-by-step explanation:

Your equations are in the slope-intercept form of a line.  The equations are make up of a slope and a y-intercept.

y = mx + b  The m is the slope (the steepness of the line) and b is the y-intercept.  This is where the line crosses the y axis.

I would start with the y intercept.  Look at the first equation

y = x -8  The -8 tells us that this graph crosses the y axis at (0,-8)  From that point, we will use the slope.  The slope is the number before the x.  If we do not see a number than it is 1.  We want to make this a fraction. What is 1 as a fraction?  1/1  This means that from -8 where the graph crosses the y axis we will follow the pattern of up one, one to the right.

Let's look at the second graph

y = -x + 5.  This tells us that we cross the y axis at (0,5).  Our slope is -1.  What is -1 as a fraction?  -1/1.  This means that we will move down 1 and right one.  We will follow that pattern.

Let's look at the third graph

y = 3/4x - 1  We cross the y axis at (0,-1)  From that point we move up 3 and right 4.

y = 3 means that no matter what x is, y will be -3.  This creates a horizontal line.

x = -4 means that not matter what y is, x will be -4.  This creates a vertical line.

The equation is 1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m

The amount of money  Liza earned is $154.65

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

let the money she earn be m.

the remaining money = m-1.95-30-7.20

So, her total earning is,

1.95+30+7.20+2/3(m-1.95-30-7.20)+38.50=m

39.15+38.50+2/3(m-39.15)=m

77.65+2m/3-26.10=m

77.65-26.10=m-2m/3

51.55=(3m-2m)/3

51.55*3=m

m=$154.65

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You can add and subtract radicals by ensuring that they have same radical parts.

It should be noted that a radical expression is an expression that contains the radical symbol which is ✓.

The necessary steps to add or subtract radicals include:

Identify the radical parts.

Add them together.

If there's unlike radical parts, one will manipulate the parts involved before solving.

Example: Add ✓63 + 5✓7

It should be noted that ✓63 = ✓9 × ✓7 = 3✓7

Therefore, ✓63 + 5✓7 will be:

= 3✓7 + 5✓7

= 8✓7.

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Answer:

3a + (5b + 7c)

Step-by-step explanation:

The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac

the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca

the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number

The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.

In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.

For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.

The first option is correct because it does not affect the main equation rest are not the same as the equation.

For example, let's take the second equation :

3a (5b + 7C)

After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.

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It's been a while but I think binomial. There are two nonzero terms, -4a3b5, and 3a2, making it a binomial.

Answer:

Step-by-step explanation:

Screen B is wider

Answer:

all of them are terminating decimals

Step-by-step explanation:

5/2=2.5

4/5=1.25

2/7=3.5

4/5=1.25

4/3=0.75

5/2=2.5

4/5=1.25

2/7=3.5

4/3=0.75

they are terminating decimals because they have a finite end

Distance ran by Jake in a day is  17.33 miles.

It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.

We have to find the distance ran by him in a day.

Let the distance ran by him in a day be x miles.

We know that there are 7 days in a week.

Hence, according to the data given in the question, we can write,

Number of days in a week * distance ran in a day = total distance

Hence,

7*x = 121.3 miles

Solving the linear equation, we get,

x = 121.3/7 miles

x = 17.3285 ≈ 17.33 miles

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She would make $477 during a 7-day week

The given parameters are

There are 5 days in a weekday and 2 in a weekend

So, the total earning is

Total = Rate * [Weekday hours * 5 + Weekend hours * 2]

This gives

Total = $13.25 * [4 * 5 + 8 * 2]

Evaluate

Total = $477

Hence, she would make $477 during a 7-day week

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Part A: The student was supposed to divide before subtracting

Part B: The student was supposed to simplify the parentheses before finding the exponents

Part C: The simplification of the expression gives -16.

From the question, we are to simplify the given expression

The given expression is

(∛64 - 16 ÷ 2)(2 - 4)²

Part A:

The mistake the student made was not applying the PEMDAS rule

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Since division comes before subtraction, the student was supposed to divide before subtracting

Part B:

The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.

Part C:

Simplifying the expression

(∛64 - 16 ÷ 2)(2 - 4)²

Simplify the cube root

(4 - 16 ÷ 2)(2 - 4)²

Divide

(4 - 8)(2 - 4)²

Simplify the parenthesis

(-4)(-2)²

Simplify the exponent

(-4)(4)

Evaluating

-16

Hence, the simplification of the expression gives -16.

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Answer:

Likely

11/12 aka 0.916666666667 aka 91.67%

Step-by-step explanation:

24 - 2 = 22

22/24

11/12

Likely means more than 50% but not 100% in this case.

Answer:

64 ft^2

Step-by-step explanation:

It is a square to start, so each side = x

then     (x+7 )    *    ( x -2)    = 90

          x^2 + 5x -14 = 90

           x^2 + 5x - 104 = 0         factor or use Quadratic Formula to fin x = 8 ft

Original area is then 8 x 8 = 64 ft^2  

Answer:

$303 0cents

Step-by-step explanation:

237 + 128 -62 = 303

The amount Julie has to spend after buying the chair is $303.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data:

We are given the details of the transactions that Julie did.

We have to find out the remaining amount of money that is left with Julie after the transactions.

Initial amount that Julie had to spend (A) = $237

Amount received as a refund after returning that calculator (B) = $128

Price that had to be paid to buy a chair (C) = $62

For finding out money in dollars and cents did Julie have to spend after buying the chair:

= A + B - C

= 237 + 128 - 62

= 365 - 62

= 303

The amount Julie has to spend after buying the chair is $303.

Hence, The amount Julie has to spend after buying the chair is $303.

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The volume of cylinder V as a function of the height h is: V = 50.24h

In this question, we have been given the radius of the cylinder which is 4 centimeters.

We need to write the volume V of the can as a function of the height h.

We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h

In this question, r = 4 centimeters

Substitute r = 4 in above formula of volume of cylinder.

⇒ V = π × r² × h

⇒ V = π × 4² × h

⇒ V = 3.14 × 16 × h

⇒ V = 50.24 × h

⇒ V = 50.24h

Therefore, the volume of cylinder V as a function of the height h is:

V = 50.24h

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Answer:

-2.5w<6.8

-2.5w/-2.5<6.8/-2.5

w>-2.72

The coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3) .

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 3 about the origin mapping it to triangle A'B'C' with vertices A'(-1/3), B'(4/,2), and C(0/-5).

The coordinates of triangle ABC are:

A=(-1/3,3/3) = (-1/3)

B=(4/3,2/3) = (4/3,2/3)

C=(0/3,-5/3) = (0/3,-5/3)

coordinates are formed by two components that are a latitude , giving the north-south position, and a longitude, giving the east-west position.

Therefore the coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3)

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Step-by-step explanation:

it grows exponentially.

a negative exponent like

n^-a

means only

1/(n^a)

-3 1/3³ = 1/27

-2 1/3² = 1/9

-1 1/3¹ = 1/3

0 3⁰ = 1

1 3¹ = 3

2 3² = 9

3 3³ = 27

so, 3^x comes from very small but positive values, and grows very fast (much faster than x itself and with ever increasing speed hence "exponentially") to very large and still positive numbers.

From the calculation carried out below, it can be observed that the profit for 77 sales is $258.

Given revenue as:

f(x) = 5x ............................ (1)

Where:

x = Number of bracelets sold or sales = 77

Total obtain the revenue, substitute x = 77 into equation (1), we have:

Revenue = f(77) = 5 * 77

Revenue = $385

Since profit is $50 less than 80% of the revenue, we have:

Profit = (Revenue * 80%) - 50

Profit = (385 * 80%) - 50

Profit = 308 - 50

Profit = $258

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Answer:

8−5=3

Step-by-step explanation:

Answer:

3. w = 4

4 . g = 8

5. q = 1

6. m = -3

7. z = -32

8. a = 6

9. h = 4

10. d = -16

11. y = 4

12. n = 4

13. v = 3

14. c = -2

Step-by-step explanation:

3). 3w + 7 = 19

3w = 12

w = 4

4). 2g - 13 = 3

2g = 16

g = 8

5). 11 = 12 - q

q + 11 = 12

q = 1

6). 10 = 7 - m

m + 10 = 7

m = -3

7). -4 * (5) = (z/-4 - 3) * -4

-20 = z + 12

z = -32

8). 3 * (a/3 + 4) = (6) * 3

a + 12 = 18

a = 6

9). 5 * ((h + 6)/5) = (2) * 5

h + 6 = 10

h = 4

10). -2 * ((d - 8)/-2) = (12) * -2

d - 8 = -24

d = -16

11). 8y + 3y = 44

11y = 44

y = 4

12). 36 = 13n - 4n

36 = 9n

n = 4

13). 12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

14). 6c - 8 - 2c = -16

4c - 8 = -16

4c = -8

c = -2

The value of x from the given diagram is 64 degrees

A line is defined as the shortest distance between two points. From the given diagram, we have that the line AB bisects FAB, hence;

<FAB = <CAB = 58 degrees

Also since the sum of angles on a straight line is 180 degrees, hence;

58 + 58 + x = 180

116 + x = 180

x = 180 - 116

x = 64 degrees

Hence the value of x from the given diagram is 64 degrees

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The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.

Number line:

Number line used for visual representation of numbers on a straight line.

Given:

Here we need to locate and plot √15 on a number line.

Steps for the construction:

Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.

Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.

Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.

Step 4) From B on the number line, use your compass and make a quarter circle from D to E.

The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.

Based on the steps the number line is looks like,

Therefore, The square root of 15 (√15) is approximately 3.87298.

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Answer:

29282829939999999 and yea

The range of the set of scores is 13.

Here,

The set of scores:

7, 8, 11, 15, 17, 20

We have to find the range of the set of scores.

What is Range of set?

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.

Now,

The highest number = 20

The lowest number = 7

Hence, Range of the data set = 20 - 7 = 13

So, The range of the set of scores is 13.

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Answer:

6

Step-by-step explanation:

The list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B which is the correct option (C).

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.

We have been given four stocks during the day. The changes for the stocks are shown in the table.

-3/4, 0.7, -1, 0.2

Here the least numbers to the largest numbers, it is said to be in ascending order.

⇒ -1 < -3/4 < 0.2 < 0.7

Arrange the stock in increasing order.

Stock C, Stock A, Stock D, Stock B

Therefore, the list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B.

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Your question is incomplete, probably the missing part is: