Find the equation of the axis of symmetry of the following parabola algebraically.
y=2x^2-24x+86y

Step-by-step explanation:

1. S

since PS = SQ, S must be exactly in the middle.

2. NQ = 3×PS = 3×3 = 9 cm

we see, NP = PS = SQ. so, NQ = NP + PS + SQ = e.q. 3×PS

3.

not sure what your teacher means.

line segment

line

NPS (as alternative to just NS)

4.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

6.

NS is congruent to PQ.

7.

similar to 3.

line segment

line

SPN (as alternative to just SN)

Each statement :

1) 'S' is the midpoint of PQ.

2)  NQ is 9cm long

3) Another name of NS is the line segment NS.

4) S is an endpoint of SQ.

5) P is the midpoint of NS.

6) NS is congruent to PQ

7) Another name of NS is the line segment NS.

Given, that line segment PS is 3cm long .

1.

'S' is the midpoint of PQ.

since PS = SQ, S must be exactly in the middle.

2.

NP = PS = SQ.

So, NQ = NP + PS + SQ

= 3 × PS

NQ = 3×PS

= 3×3

= 9 cm

Thus NQ is 9cm long .

3.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

4.

Line segment is starting from point S.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

So, NP = PS

6.

In line segment NS,

NP = PS

In line segment PQ,

PS = SQ

NS is congruent to PQ.

7.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

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The values of the square numbers are:

a. -16

b. 16

c. 16

From the information given, we have the following expressions;

Let's write the squares in simpler form

-4² = - (4 × 4)

This is so because the square was only assigned to 4 and not the negative sign

(-4)² = - 4 × - 4

This is so because the square was assigned to both the negative sign and 4

4² = 4 × 4

This is so because the square was assigned to 4

Now, we have

- (4 × 4) = -16

- 4 × - 4 = 16

4 × 4 = 16

Thus, the values are - 16, 16 and 16 respectively.

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Using proportions, the costs are given as follows:

a) Total Labor Cost: $806,400.

b) Total Product Cost: $225,000.

c) Total Cost = $1,031,400.

d) Cost per home = $137.85.

e) Cost per week = $85,950.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

12 weeks x 6 days x 10 hours x (12 laborers x 65 per hour + 4 supervisors x 85 per hour).

Hence:

L = 12 x 6 x 10 x (12 x 65 + 4 x 85) = $806,400.

For item b, the product cost is the cost of the turf, hence:

15 pieces x $15,000 per piece

15 x 15,000 = $225,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 806,400 + 225,000 = $1,031,400.

For item d, the cost per home is found dividing the total cost by the 7,482 homes, hence:

Cost per home = 1031400/7482 = $137.85.

For item e, the cost per week is found dividing the total cost by the 12 weeks, hence:

Cost per week = 1031400/12= $85,950.

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Answer:

Step-by-step explanation:

=-4

Step-by-step explanation:

-5(+8-7)

= -5+1

= -4

I hope this answers helps you a lot

hi

area of rectangle is  Length * width  

Length is  :  3 +1/3  so  9/3 +1/3 = 10/3

width  :       5 + 2/3 =   15/3 + 2/3 = 17/3

so   Area =  10/3 * 17/3 =   170/9

Area is 170/9

Answer

Step-by-step explanation:

first we have to multiply length of rectangle and width of rectangle according to it's formula and then change it to improper fraction

I forgot to write the unit at the end of answer which should be yd²

Answer:

Expressing in simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find.

Step-by-step explanation:

I think this is the answer you need

please make my answer as brainelist

Answer/Step-by-step explanation:

-4r - 7 + 10r = -7 + 6r

6r - 7 = -7 + 6r

    +7    +7

6r = 6r

This equation is true

All real numbers (-∞, ∞)

I hope this helps!

Answer: 2 to 7

Step-by-step explanation:

divide both by three, it's the greatest common factor

The expression 83−7.5t represent C. the volume of water left after t hours.

From the information, each hour, 7.5 liters drain from a large water tank and thee tank initially held 83 liters of water.

Therefore, the expression 83−7.5t represent the volume of water left after t hours.

In conclusion, the correct option is C.

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The square root of 63.34 IS 7.95

The square root of decimal places can be found using long division method

The solution of this question in written form is attached so do check it out

first step is to find out the number whose square root is close but less than the given number as 7 in this case

second step add the divisor and the answer that is 7+ 7and make it our new divisor

Third step after carrying down the next pair of number write the number on once place that is 14_ which is 9 in our case  and keep following the same steps unit the desired answer

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Using linear function concepts, it is found that since the two lines have the same slope, they are parallel.

A linear function is modeled by:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The first road goes through points (0, 16) and (20,0), hence the slope is:

m = (0 - 16)/(20 - 0) = -0.8.

The second road goes through points (0,8) and (10,0), hence the slope is:

m = (0 - 8)/(10 - 0) = -0.8.

Since the two lines have the same slope, they are parallel.

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The expression that models a profit P the beta club earns for each basket b sold is:

P = 6.50b

or

P = 13b - 6.50b

Given,

The beta club is selling gift baskets to raise funds.

Each basket sells for $13 and costs $6.50 to make.

We need to write an expression to model a profit the beta club earns for each basket b sold.

The profit is given by:

Profit = Selling price - cost price.

We have,

Selling price = $13

Cost price = $6.50

Find the expression for the profit.

The expression can be written as:

P = b ( 13 - 6.50 )

   = 6.50b

or

P = 13b - 6.50b

Where b = number of baskets.

Thus the expression that models a profit P the beta club earns for each basket b sold is:

P = 6.50b

or

P = 13b - 6.50b

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Answer:

3 hours

Step-by-step explanation:

Time = distance / rate

.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr =   3.00 hr

Finally, the total time in which Tiffany will complete the race will be  3 hours.

speed ​​is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.

Given that The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run.

In training, she can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph.

We know that Time = distance / rate

So, total time=  0.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr

total time =   3.00 hr

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The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48

The given sequence is:

1,-1,-3,  . . -13

and there are 8 terms.

The related series of this sequence is:

1-1-3-5- ... -13

Notice that the series is an arithmetic series with:

first term, a(1) = 1

common difference, d = -1 - (1) = -2

last term, a(8) = -13

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:

S(8) = 8/2 [1 + (-13)]

S(9) = 4 . (-12) = -48

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Answer:

Step-by-step explanation:

your welcome! <3

Finding the value of any term in a given sequence is known as an arithmetic sequence if each term in the sequence is equidistant from the terms before and after. To find any term in a sequence, we first have to find the pattern of the sequence. Then we can multiply the distance between any two terms by one less than the number of terms we are looking for. Adding this to the first term gives you the term you want.

Here the first term a=2,

Common difference d=4-2=2

We know that,

f(n)=a+(n-1) d

f (10) =2+(10-1) (2)

=2+(18)

=20

We know that,

Sn=n2[2a+(n-1) d]

∴S10=102⋅ [2(2) +(10-1) (2)]

=5⋅ [4+(18)]

=5⋅ [22]

=110

Hence, the 10th term of the given series is 20, and the sum of the first 10th term is 110.

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Answer:

2.2

Step-by-step explanation:

10 x a = 22

÷10

a = 2.2

Hope this helps!

Answer:

5

Step-by-step explanation:

You add 5.49 until it almost goes past 30

Then count how many times you added

I hope this helps!

Answer:

BC = 7

Step-by-step explanation:

Due to the segment addition postulate, AB + BC = AC

Substitute: 12 + BC = 19

BC = 7

Answer:

Step-by-step explanation:

If you are to check carefully you will find that the two angles are lying on a straight line of which is 180°

mathematically

[tex](2t-4)+(5t+2)=180\\2t+5t-4+2=180\\7t-2=180\\7t=180+2\\7t=182\\\frac{7t}{7} =\frac{182}{7} \\t=26[/tex]

Answer:

650 meters

Step-by-step explanation:

Use the pythagorean theorem.

a²+b²=c²2

160²+630²=c²

c²=422500

√422500 = 650

Answer:

a o espero que te ayude me piedes dar corona

Answer:

no solution

Step-by-step explanation:

- (6x + 6) + 2 = - 6x - 3 ← distribute parenthesis on left side and simplify

- 6x - 6 + 2 = - 6x - 3

- 6x - 4 = - 6x - 3 ( add 4 to both sides )

- 6x = - 6x + 1 ( add 6x to both sides )

0 = 1 ← not possible

this indicates the equation has no solution

Answer:

No Solution, 0 = 1

Step-by-step explanation:

a) Simplify both sides of the equation.

−(6x + 6) + 2 = −6x − 3

−6x+ −6 + 2 = −6x + −3

(−6x) + (−6 + 2) = −6x − 3

−6x + −4 = −6x − 3

−6x − 4 = −6x − 3

b) Add 6x to both sides.

−6x − 4 + 6x = −6x − 3 + 6x

−4 = −3

c) Add 4 to both sides.

−4 + 4 = −3 + 4

0 = 1

The similarity between common difference and common ratio is that both are used to find the next term, but common difference is added while common ratio is multiplied.

Common difference (d) is defined as the difference between consecutive terms in an arithmetic sequence. It is determined by subtracting the term from the preceding term. For example, in an arithmetic sequence 2, 5, 8, 11,…, the common difference is 5-2=3 or 8-5=3.

The sequence will be: a, a+d, a+2d, a+3d,… a+nd.

In the general form:

d=an -an-1, where an is the nth term and an-1 is the preceding term.

Common ratio (r) is defined as the quotient between consecutive terms in a geometric sequence. It is determined by dividing the term by the preceding term. For example, in an geometric sequence 2, 4, 8, 16,…, the common ratio is 4/2=2 or 8/4=2.

The sequence will be: a, ar, ar^2, ar^3,…ar^n.

In the general form:

r=an/an-1, where an is the nth term and an-1 is the preceding term.

Hence, both common difference and common ratio shows relationship between consecutive terms in a sequence. Common difference is added to the term to find the next term while common ratio is multiplied to the term to find the next term.

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By elimination, the solution of the system of equations, 2a + 3b = 12 and 5a - b = 13, is (a , b) = (3 , 2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in a and b, a variable should be eliminated by adding/subtracting the two equations.

Multiply first equation 2 by 3.

5a - b = 13     (equation 2)

15a - 3b = 39

Adding the two equations will eliminate the variable b.

2a + 3b = 12     (equation 1)

15a - 3b = 39     (equation 2)

17a        = 51

a = 3

Substitute the value of a to any of the two equations and solve for b.

2a + 3b = 12     (equation 1)

2(3) + 3b = 12

3b = 12 - 6

3b = 6

b = 2

Hence, the solution of the system of equations is (a , b) = (3 , 2).

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The ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

To order numbers on the number line, we have that:

If the integer parts are equal, we look at the decimal part, following the same logic as above.

For this problem, the numbers are given as follows:

Hence the ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

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0<y<8

given,

The y axis has a plot as low as 0.

soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

Types of Graphs and Charts;

Bar Chart/Graph.

Pie Chart.

Line Graph or Chart.

Histogram Chart.

Area Chart.

Dot Graph or Plot.

Scatter Plot.

Bubble Chart.

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The range of the graphical function is: 0<y<8

The graph of a function f is the set of ordered pairs, where {f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Given that

The y axis has a plot as low as 0.

Soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

Types of Graphs and Charts;

Bar Chart/Graph, Pie Chart, Line Graph or Chart, Histogram Chart, Area Chart, Dot Graph or Plot, Scatter Plot., Bubble Chart.

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The point of intersection of the lines would be (19/20, 3/20) which are the lines y=2x-7/4 and y = 3 - 3x intersect each other.

To determine exactly where the lines y = 2x-7/4 and y = 3 - 3x intersect.

We need to find where both lines are intersect,

Thus, we would be required to equate them

⇒ 2x - 7/4 = 3 - 3x

Rearrange the likewise terms in the above equation,

⇒ 2x + 3x  = 3 + 7/4

Apply the addition operation, and we get

⇒ 5x  = 19/4

⇒ x  = 19/(4)(5)

⇒ x  = 19/20

Substitute the value of x  = 19/20 in the equation y = 3 - 3x, we get

⇒ y = 3 - 3(19/20)

⇒ y = 3 - 57/20

⇒ y = 3/20

Therefore, the point of intersection of the lines would be (19/20, 3/20)

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