Write a quadratic function in standard form whose graph satisfies the given conditions.
passes through
0, 0 , 2, 4 , and 4, 0

Answer:

EII

Step-by-step explanation:

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

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

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520

Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

Answer:

Obtuse

Step-by-step explanation:

in this case [tex]c^{2}[/tex] is greater than [tex]a^{2} +b^{2}[/tex] therefore, is it an obtuse triangle.

Answer:

Step-by-step explanation:

We must rewrite 7x^2 = 9 + x in standard form first:  7x^2 - x - 9 = 0.

The coefficients are 7, -1 and -9, and so the discriminant b^2 - 4ac is

(1)^2 - 4(7)(-9) = 253.

The roots are:

       -(-1) ± √253           1 ± √253

x = --------------------- = --------------------

              2(7)                       14

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Answer:

0.435

Step-by-step explanation:

43.5*0.01=0.435

Answer:

d. 20°

Step-by-step explanation:

First, we need to solve for m<Q

m<Q+m<R+m<S=180°

where m<R=90° and m<S=70°

m<Q+90°+70°=180°

m<Q=20°

Since m<Q=m<M

Then, m<M=20°

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).

Answer:

y=-(7)/(2)x-5

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

y = 7/2x + 2

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

solution is in attachment

hope it helps

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.

Answer:

im literally doing the same exact thing right now

Step-by-step explanation:

9514 1404 393

Answer:

  x ∈ {-1/2, 1, 2-√3, 2+√3}

Step-by-step explanation:

The given zeros mean that one of the quadratic factors of the given polynomial is ...

  (x -2)^ -3 = x^2 -4x +1

When that is factored out (see first attachment), the remaining quadratic is ...

  2x^2 -x -1

This can be factored as ...

  = (2x +1)(x -1)

which has roots that make these factors zero: x = -1/2, x = 1.

So, all of the zeros of the given polynomial are ...

  -1/2, 1, 2-√3, 2+√3 . . . all zeros

__

A graphing calculator can often point to the zeros of the function quite nicely.

_____

Additional comments

When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.

Using the pattern for the square of a binomial, we see this is ...

  (x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4

The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...

  (x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1

Answer:

Some possible expressions, since there's no answer choices provided:

-3(x + 3)

3(-x - 3)

Step-by-step explanation:

Expression 1:

This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:

-3x / -3 = x

-9 / -3 = 3

So now, we can add these terms and multiply them by -3 to get our answer:

-3(x + 3)

And just to check, we can expand it:

-3x + -3(3) = -3x - 9

Expression 2:

This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:

-3x / 3 = -x

-9 / 3 = -3

Now, we can add these terms and multiply them by -3 to get our final answer:

3(-x - 3)

To check, once again:

-3x + 3(-3) = -3x - 9

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

Answer:

a cube has 8 sized

Step-by-step explanation:

64 ×8 equal 512.

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

Answer:

yeah its parallelogram.

quadrilateral whose diagonal bisect each other are parallelogram .

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

Answer:

i think h stands for height. I dont see it standing for any thing else

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius ) , then

x² + y² = ([tex]\sqrt{249}[/tex] )² , that is

x² + y² = 249 → D

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

Answer:

0.7890176%

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

The probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%

We have given that,

First, there is a 64% chance of failing a test.

We have to determine the probability

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.

You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

45 degrees

Its on the first bar in the 45 degree angle which is half of 90

Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]

Hence, the area of the trapezoid is 84ft² and your answer is D