What is the vertex form of the quadratic function that has a vertex at (2, 1)
and goes through the point (3,-2)?​

Answer:

C 1/3

Step-by-step explanation:

got it right on edge :)

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Answer:

Cycle : Scooter = 15 : 30

or, Cycle : Scooter = 1 : 2

Step-by-step explanation:

Answer:

A. 7

Step-by-step explanation:

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

[tex]a_{n} = 3(4)^{n-1}[/tex]

Step 3: Plug in 8th term for n

[tex]a_{8} = 3(4)^{7}[/tex]

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

Answer:

-9

Step-by-step explanation:

3x=-27

Hey! I am not stealing points, but pls complete your question. Which number line are you asking about? Where is the number line image?

Also, where is the option A?

Pls complete your question.

Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

Answer:

15.5833333333 or 15 7/12

Step-by-step explanation:

When you less simplify 1/4 and 1/3, we get 3/12 and 4/12. So, when you add those two fractions, you get 7/12. Now, we add 12 and 3 to get 15. Hence,

the two fractions given equal to 15 7/12.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

62/12 or 5 and 2/12

Step-by-step explanation:

twelve × 4=48 3×3=9 you then change the fourths and the thirds into twelfths. by rinsing the top and bottom by how much you need to, in this case 4×3 and 3×4. Now you've got 52/12+12/12, which equals 62/12 or 5 and 2/12

Answer:

Step-by-step explanation:

Given the function f(x)=(x+4)², the x intercept occurs at f(x)  = 0, substituting f(x) = 0 into the given equation to get the value of x we have;

[tex]0 = (x+4)^{2} \\[/tex]

Taking the square root of both sides

[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]

Subtracting 4 from both sides of the equation

[tex]x+4-4 = 0-4\\x = -4[/tex]

Therefore the x intercept of the equation is -4

Answer:

[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer:

Step-by-step explanation:

We have 3 triangles here, all of them right triangles. The first one is the biggest one, triangle ABC. We know the side length AB = 14, and we know the hypotenuse length, BC = 30. We can use that, along with Pythagorean's Theorem, to solve for side length AC:

[tex]30^2=14^2+(AC)^2[/tex] and

[tex]900-196=(AC)^2[/tex] and

[tex]704=(AC)^2[/tex] so

[tex]AC=8\sqrt{11}[/tex]

We also have the smallest right triangle, triangle ABD, which has the base of x, our unknown. Side BD is our unknown, length x; side AD is the height, length y (also unknown); and side AB is the hypotenuse, length 14. We will come up with a system of equations for these 2 right triangles, using Pythagorean's Theorem, and then solve for x using substitution.

For the medium-sized triangle. triangle ADC, the hypotenuse is side AC with a measure of 8√11, the height is side AD length y, and the base is side DC length 30 - x. Putting those values into Pythagorean's Theorem:

[tex](30-x)^2+y^2=(8\sqrt{11})^2[/tex] and

[tex]900-60x+x^2+y^2=704[/tex] and

[tex]x^2-60x+y^2=-196[/tex]***  That's starred because it's important and we will come back to it.

The smallest triangle in Pythagorean's Theorem:

[tex]14^2=x^2+y^2[/tex] and solving that for y-squared:

[tex]y^2=196-x^2[/tex]. We will now sub that value for y-squared into the starred equation for y-squared and solve for x:

[tex]x^2-60x+196-x^2=-196[/tex] and

-60x = -392 so

x = 6.5

Answer:

14

Step-by-step explanation:

Mathematically, the probability of drawing a pure cotton shirt = number of cotton shirts/Total number of shirts

Firstly , we are to calculate the number of cotton shirts after the addition of the new four

Thus;

Total number of shirts is now = 20+4 = 24

Let the number of cotton shirts be x after the addition

3/4 = x/24

24 * 3 = 4x

x = 72/4

x = 18

Now kindly recall that q became x only because we added 4 new extra cotton shirts

So the number of cotton shirts before the addition = 18-4 = 14

Answer: Organizes Data

Step-by-step explanation:

A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs

Answer:111m^2

Step-by-step explanation:

Answer:

im pretty sure 140 because if you take away the seperating line between the given angle and 3 its 180 which if you would do the same to the other side it would be identical. So Try 140

Step-by-step explanation:

It is Option A 140° as the opposite angles are of equal measures in intersecting lines.

Answer:

fsdfsdf

Step-by-step explanation:

ghlvlc

Answer:

1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.

Answer:

The force pulling down the ramp is 374.6 lb

The force pressing on a line perpendicular to the ramp is 927.1 lb

Step-by-step explanation:

Given;

weight of boat (mg) , w = 1000 lb

angle of inclination of the ramp, θ = 22 degrees.

The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp

Parallel component of the force, F = mgsinθ

                                                      F = wsinθ

                                                      F = 1000 sin(22)

                                                      F = 1000 x 0.3746

                                                     F = 374.6 lb

Vertical component of the force which is force pressing on a line perpendicular to the ramp.

F = mgCosθ

F = wCosθ

F = 1000 x Cos(22)

F = 1000 x 0.9271

F = 927.1 lb

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

Answer:

12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3

Step-by-step explanation:

Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.

Answer:

2

4

And 5

Step-by-step explanation:

Answer:

8 th term

Step-by-step explanation:

Continuing the sequence from the last term given (term 4 )

a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25

a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125

a₇ = 0.5 × 4.125 - 2 = 2.125

a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative

The first term to be negative is term 8

Answer:

-2

Step-by-step explanation:

Answer:

i hope this helps and its clear !

Answer:

no

Step-by-step explanation:

Given the 2 equations

- 6x + 3y = 18 → (1)

4x - 3y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term , that is

- 2x = 24 ( divide both sides by - 2 )

x = - 12

Substitute x = - 12 into either of the 2 equations and solve for y

Substituting into (2)

4(- 12) - 3y = 6

- 48 - 3y = 6 ( add 48 to both sides )

- 3y = 54 ( divide both sides by - 3 )

y = - 18

There is 1 solution (- 12, - 18 )

Answer:

D. y = 2x2 + 16x+11

Step-by-step explanation:

this is the correct answer, the person above me is incorrect!!

ap ex :)

The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.

Expand the equation, we have

y = 2(x + 4)² – 21

y = 2(x² + 16 + 8x) – 21

y = 2x² + 32 + 16x – 21

y = 2x² + 16x 11

Then the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ2