Y = 4( x + 2)^2 - 8


Convert the equation from vertex form to standard form.

Answer:

[tex]-3x^{2}+11x-3[/tex]

Step-by-step explanation:

[tex](-3x^{2}+6x-12)+(5x+9) = -3x^{2} + 6x - 12 + 5x + 9 = -3x^{2} + 11x - 3[/tex]

Answer:

see below

Step-by-step explanation:

Here are the simplified results of each polynomial combination.

(5x2 + 2x + 1) + (6x2 − 3x + 9)

= 5x2 + 2x + 1 + 6x2 − 3x + 9

= 5x2 + 6x2 + 2x − 3x + 1 + 9

= 11x2 − x + 10 (B)

(-3x2 + 6x − 12) + (5x + 9)

= -3x2 + 6x − 12 + 5x + 9

= -3x2 + 6x + 5x − 12 + 9

= -3x2 + 11x − 3 (A)

(8x + 16) − (3x2 − 3x − 15)

= 8x + 16 − 3x2 + 3x + 15

= -3x2 + 8x + 3x + 16 + 15

= -3x2 + 11x + 31 (D)

(5x2 + 23x − 7) − (x2 − 4x + 21)

= 5x2 + 23x − 7 − x2 + 4x − 21

= 5x2 − x2 + 23x + 4x − 7 − 21

= 4x2 + 27x − 28 (C)

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

x ≤ 4

Answer:

. image of x under f ). Note: The argument of a function is often referred to as its input, and its image under f as the output. Two functions f and g are equal, written f = g, if and only if their domains are equal and f(x) = g(x) for all x in their common domain. (See “Domain and Range of Functions” below for a discussion of the domain of a function.) ... When x = –5, y = 2(–5) + 1 = –10 + 1 = –9; when x = 3, y = 2(3) + 1 = 6 + 1 = 7; and so forth. For every input, x, the ... 1 5a + 1 − 1 = a ≠ 0 5 a a ...

Step-by-step explanation:

by the way im in 6th and know that so

Answer:

2.828427125

Step-by-step explanation:

Let the water surface be 0.

He starts at 15 and gets to the water surface of 0 so he travels 15 meters.

He then goes 5 meters below the surface.

15 + 5 = 20 total meters.

Answer:

20m

Step-by-step explanation:

the diver starts on a platform 15m above the water surface, which we will call 0. if he goes from the platform to -5m under the water, then he would have traveled 20m.

Answer:

nope, 6 is not a factor of 32z + 8

Answer:

23

Step-by-step explanation:

do 42-19 helps me solve it because if you do subtract it most the time I think it will work

Answer:

Step-by-step explanation:

I will not provide the answer.

You should do it yourself.

Just remember that the sum of all the angles of a triangle is 180 degrees.

8 and a half is the answer to the question

The numbers are 3 1/2, 5 1/2, and 1 1/2 which are lies between 3 and 7 and are the whole number plus a fraction.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have a fraction riddle:

I am less than seven I am more than 3 I am a mixed number- a whole number plus a fractions

Let x be the number:

As we know the number, is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, 22/7, 3/5 etc. are the numbers.

x < 7 and x > 3

x ∈ [3, 7] or

3 < x < 7

We have options:

3 1/2, 5 1/2, and 1 1/2 are the numbers which are lies between 3 and 7 and are the whole number plus a fraction.

Thus, the numbers are 3 1/2, 5 1/2, and 1 1/2 which are lies between 3 and 7 and are the whole number plus a fraction.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

v=2πrh

r=d/2=8/2=4

Therefore, V=2×3.142×4×2= 50.272 ans.

Step-by-step explanation:

A because the thing on -2 Is that

Answer:

The sum of all of the interior angles can be found using the formula S = (n - 2)*180. 

Answer:

10 half unit cubes

Volume = 1 1/4 unit³

Step-by-step explanation:

Volume of rectangular prism = Length * width * height

From the dimensions given in the picture :

Volume = 1 * 1/2 * 2 1/2

Volume = 1 * 1/2 * 5/2

Volume = 5/4 unit³

Volume = 1 1/4 unit³

Number of half unit cube per unit³ = 8

Total number of half unit cubes that will fill it:

Number of half unit cube per unit³ * volume

8 * 5/4

= 40 /4

= 10

Answer:

12x^2+17x-5

Step-by-step explanation:

(4x-1)(3x+5)

12x^2-3x+20x-5

12x^2+17x-5

Answer:

x=-15

Step-by-step explanation:

.................

When two angles sum up to 90° they are called complementary angles.

Since the sum of angle 1 and angle 2 = 90°, they will be called each other's complements.

Thus, the angle pair is called complementary angles.

▪︎Therefore, the correct option is (C) complementary

Answer:

[tex]V=7238.22\ \text{inches}^3[/tex]

Step-by-step explanation:

The diameter of a sphere, d = 24 inches

Radius, r = 12 inches

We need to find the volume of sculpture which is in the shape of sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times (12)^3\\\\V=7238.22\ \text{inches}^3[/tex]

So, the volume of the sculpture is [tex]7238.22\ \text{inches}^3[/tex].

9514 1404 393

Answer:

  38 yards

Step-by-step explanation:

Let x represent the length and y the width, both in yards. Then the required relations are ...

  2(x+y) > 132 . . . . . . the perimeter is greater than 132 yards

  y = x - 8 . . . . . . . . . . width is 8 less than length

Substituting for y in the first equation gives ...

  2(x +(x -8)) > 132

  4x -16 > 132

  x -4 > 33

  x > 37

The smallest length the fence can be is 38 yards.

__

Check

At that length, the width is 30 yards, and the perimeter is 2(38+30) = 136 yards. If the length were 37 yards, the perimeter would be 132 yards, which is not greater than 132 yards.

Answer: i got 100% on the journal activity on EDGE with this “ The difference of piecewise functions and infinite limits is the graphs, with piecewise functions you're graphing several equations... when looking at a graph with an infinite limit there is a difference. A similarity they do have is their end points.” I haven’t been paying attention at all so this I made this up and some how it works(?!)

Step-by-step explanation: I’m not sure if it’s even correct but it worked as a response!

Answer:

12.5

Step-by-step explanation:

5*5*0.5=12.5

Answer:

5(9+25)

Step-by-step explanation:

The GCF is 5 so you just divide each by 5

Answer:

Step-by-step explanation:high

Answer:

6

Step-by-step explanation:

Answer:

about 6 years 3 months

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.1%/100 = 0.031 per year,

then, solving our equation

t = 10100 / ( 52000 × 0.031 ) = 6.2655

t = 6.2655 years

The time required to

accumulate simple interest of $ 10,100.00

from a principal of $ 52,000.00

at an interest rate of 3.1% per year

is 6.2655 years (about 6 years 3 months).

Answer:

5.7

Step-by-step explanation:

Answer:

78.5 ft²

Step-by-step explanation:

The area of a circle is given by

Area = πr²

where r is the radius = given as 5 ft

π = 3.14

substituting the values into the equation, we get

Area

= πr²

= (3.14) (5²)

= 78.5 ft²

Answer:

Here, we have given that the radius of circle is 5 ft.

So, finding the area of circle by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\frak{Area_{(Circle)} = \pi{r}^{2} }}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = 3.14 \times {(5)}^{2}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times {(5 \times 5)}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times {(25)}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times 25}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314 \times 25}{100}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{7850}{100}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = 78.50 \: {ft}^{2} }}[/tex]

[tex]\star \: {\underline{\boxed{\sf{\purple{Area_{(Circle)} = 78.50 \: {ft}^{2}}}}}}[/tex]

Hence, the area of circle is 70.50 ft².

[tex]\rule{300}{1.5}[/tex]

Answer:

4x-8+4y

Step-by-step explanation:

We can use distributive property

First multiply 4 and x, which is 4x.

Then, multiply 4 and -2, which is -8.

Finally, multiply 4 and y, which is 4y.

If you put them all together the answer is 4x-8+4y  

I hope this helps :)

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