Find the axis of symmetry of the parabola y=2x^2+4x-1

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

Answer:

0

Step-by-step explanation:

0

Answer:

4/20 or 1/5 if you want it simplified

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

9514 1404 393

Answer:

  B.  line AB

Step-by-step explanation:

The terminal point must be named first when naming a ray.

The vertex must be named in the middle when naming an angle.

The order of points does not matter when naming a line.

Answer:

C

trust me that is my answer

Answer:

40.82

Step-by-step explanation:

3.14 times 13

Answer:

i would say R

Step-by-step explanation:

Answer: The answer is R

Step-by-step explanation:

Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Answer:

6,0

Step-by-step explanation:

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

Surface area is 1256.64

Answer:

B

Step-by-step explanation:

because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.

sorry I'm not great at explaining lol

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

Answer:

Supplementary angle equals 180°  

Complementary angle equals 360°

Step-by-step explanation:

Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.

Answer:

uhm please show a graph

Step-by-step explanation:

could you show the graph?

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

2

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{4.5}{7.5}[/tex] = [tex]\frac{3}{x}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

divide

x = 5

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663