Find the vertex and symmetry for each problem.

y=3X^2+6X+1

y=2x^2-8x+3

y=x^2-10x+25

y=5(x+2)^2+1

y= -2x^2+8x+7

y=23x^2-7

y= -(x+1)^2

y=3x^2-24x+6

y=(x-5)^2+3

y=2.5x^2-15x+9

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Answer: See explanation

Step-by-step explanation:

Population in 2000 = 15,982,378

Land area = 54,252 square miles

The population density in 2000 will be:

= Population / Land area

= 15982378 / 54,252

= 294.60people per square miles

Since the population increased by 26.8% in 2015, the population in 2015 will be:

= 15,982,378 × (100% + 26.8%)

= 15,982,378 × 126.8%

= 15,982,378 × 1.268

= 20,265655

The population density in 2015 will be:

= Population / Land area

= 20,265655 / 54,252

= 373.55 people per square miles

The increase in population density from 2000 to 2015 will be:

= 373.55 - 294.60

= 78.95

Answer:

C

Step-by-step explanation:

First, divide £4.20 by 3 to get the price for 1 packet.

4.20/3 = 1.4

5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00

Answer:

2,1,4,3,6,5,8,7

Step-by-step explanation:

Given:

2,1,4,3,6,5,8,___

Pairing the sequence in twos

2,1

4,3

6,5

It can be seen that each pair of the sequence is arranged in descending order (from highest to lowest)

1, 2 is written as 2,1

3, 4 is written as 4,3

5, 6 is written as 6, 5

Then the next two numbers

7, 8 will be written as 8,7

2,1,4,3,6,5,8,7

Answer:

[tex]x=\frac{27}{2}\:\text{or}\:13.5[/tex]

Step-by-step explanation:

Both triangles are shown are similar. Therefore, the ratio of their sides will be maintained. We can then set up the following proportion:

[tex]\frac{2}{11}=\frac{3}{3+x},\\2(3+x)=33,\\(3+x)=16.5,\\x=\boxed{13.5\text{ or }\frac{27}{2}}[/tex]

Given:

The radius of the circle X is XY.

Coordinates of X are (0,3) and coordinates of Y are (-3,-1).

To find:

The area of the circle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).

[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]

[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]

[tex]XY=\sqrt{9+16}[/tex]

[tex]XY=\sqrt{25}[/tex]

[tex]XY=5[/tex]

The radius of the circle is 5 units.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get

[tex]A=(3.14)(5)^2[/tex]

[tex]A=(3.14)(25)[/tex]

[tex]A=78.5[/tex]

Therefore, the area of the circle is 78.5 square units.

Answer:

Divide, 16.

Step-by-step explanation:

So, lets look at the unit scale.

For every 16 ounces, there are 1 pound.

To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.

The first fill in box answer is division.

Next we must ifnd the actual amount of pounds.

We know that the box weights 96 ounces.

Now lets divide this by ounces per pound, and see what we get:

96/16

=

6

So the box weighs 6 pounds.

This is the answer to the second fill in question.

Hope this helps!

Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG

Step-by-step explanation:

DID IT ON I-READY

Answer:

$35.13

Step-by-step explanation:

monthly payment = (cost - down payment) / number of month

(975 - 132) / 24 =

843/24=  35.13

Answer:

The worker should put the ladder 4 feet away from the wall.

Answer:

The trapezoid is a quadrilateral. The 4 angles of a quadrilateral all equal to 360 degrees. Now you know that this is an isosceles trapezoid since the two sides are congruent. [360-(110*2)] / 2= [360-220] / 2= 140/2=70. So the answer is 70 degrees.

Step-by-step explanation:

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

D.

Step-by-step explanation:

Answer:

D. V15

Step-by-step explanation:

Answer: I like NF and can I do it later I’m in class

Step-by-step explanation:

Answer:

7/54

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

Let the total number of jerseys =

5 red jerseys + 6 blue jerseys 7 white jerseys.

= 18

P(White) = 7/18

P(Blue) = 6/18

Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.

This is probability with replacement, hence:

7/18 × 6/18

= 7/18 × 1/3

= 7/54

Answer:

57

Step-by-step explanation:

10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).

Answer:

If you are looking for x your answer will be x=2

Answer:

DE, BA

Step-by-step explanation:

These two pair of angles meet at the point G, they touch, therefore adjacent.

Answer:

Answer is 628 cm^3

Step-by-step explanation:

using base area lets find radius

base area=pie*(r)^2

78.50=3.14*r^2

78.50/3.14=r^2

25=r^2

5=r

now using lateral area lets find height

lateral area=2*pie*r*h

251.20=2*3.14*5*h

251.20=31.4*h

251.20/31.4=h

8=h

volume of cylinder=pie*(r)^2*h

=3.14*(5)^2*8

3.14*25*8

=628 cm^3

Answer:

-0.9

Step-by-step explanation:

-0.9 × 100 = -90

answer : -90 = -100+x → x = 10

explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.

step 1 : move the variable to the left-hand side and change its sign.

ex : -90-x = -100

step 2 : move the constant to the right-hand side and change its sign.

ex : -x = -100+90

step 3 : calculate the sum

ex : -x = -10

step 4 : change the signs on both sides of the equation

ex : x = 10

solution : x=10

hope this helps !

- audrey ♡

Answer:

I send you a pic

Step-by-step explanation:

is that help?

The length of each side of the base is 3 inches. Thus, the correct option is D.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.

The length of each side of the base is calculated as,

75 = 5 x 1/2 x a x 10

75 = 25a

a = 3 inches

Thus, the correct option is D.

More about the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2

Answer:

59 degrees. (A)

Step-by-step explanation:

Corresponding angles are equal.

Answer:

A) 59°

Step-by-step explanation:

Since both lines are parallel to the other line, the angle has to be the exact same as the one shown above it.

Answer:

again 10%

Step-by-step explanation:

cant let points go to waste

Answer:

The other leg X = 8m

Step-by-step explanation:

As per Pythagorean theorem-

Square of hypotenuse = sum of square of other two sides  of the triangle

Substituting the given values in above equation, we get -

[tex]10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8[/tex]m

The other leg X = 8m

Answer:

9)  1/48

11)  1/24

13)  5/16

14)  1/8

Step-by-step explanation:

9) P(A and 5) = 1/8 × 1/6

11) P(J and LT 3) = 1/8 x 2/6

13) P (consonant and odd) = 5/8 x 1/2

14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2]  = 2/8 x 1/2

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23