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3 years ago

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

Mathematics

1 answer:

iris [78.8K]3 years ago

4 0

From greatest to least or least to greatest?

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Factored form of 16m^4-121

AnnZ [28]

$16m^4-121 =(4m^2-11)(4m^2+11)$

8 0

3 years ago

A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the

pochemuha

Answer:

The quadratic function whose graph contains these points is $y=-x^{2}-2x-2$

Step-by-step explanation:

We know that a quadratic function is a function of the form $y=ax^{2}+bx+c$ . The first step is use the 3 points given to write 3 equations to find the values of the constants a,b, and c.

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

$-2=a*0^{2}+b*0+c\\c=-2$

$-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17$

$-17=a*3^{2}+b*3+c\\ c=-9a-3b-17$

We can solve these system of equations by substitution

Substitute $c=-9a-3b-17$

$-9a-3b-17=25a+5b-17\\-9a-3b-17=-2$

Isolate a for the first equation

$-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}$

Substitute $a=\frac{b}{2}$ into the second equation

$-9\left(-\frac{b}{2}\right)-3b-17=-2$

Find the value of b

$-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2$

Find the value of a

$a=\frac{b}{2}\\ a=-1$

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

$y=-x^{2}-2x-2$

As you can corroborate with the graph of this function.

8 0

3 years ago

How long is a elaphants head

sergejj [24]

Answer: Depends on the elephant ;)

7 0

3 years ago

When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 2 inches by 8 inch

Dominik [7]

Answer:

252 square inches is the surface area of Josiah's cereal box.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the box = 11 inches

Length of the box = 8 inches

Width of the box = 2 inches

2. What is the surface area of Josiah's cereal box?

Let's recall the surface area of a rectangular prism:

Surface area = 2 (width * length + height * width + length * height)

Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)

Surface area = 2 (16 + 22 + 88)

Surface area = 2 * 126

Surface area = 252 inches²

3 0

3 years ago

Plz help I only got until 5:00 today

katen-ka-za [31]

The correct answer is -9/22.

6 0

3 years ago