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3 years ago

What do you notice about the graph when it passess through a root of even multiplicity?

1 answer:

7 0

If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

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PLEASE HURRY! When two fractions less than 1 are divided, is their quotient always, sometimes or never greater than 1? Explain.

beks73 [17]

Answer: Sometimes

Explanation:

Quotient greater than 1:

3/4 divide by 2/3
= 3/4 x 3/2 = 9/8 > 1

4/5 divide by 2/5
= 4/5 x 5/2 = 2 > 1

Quotient less than 1

1/100 divide by 2/10
= 1/100 x 10/2 = 1/20 < 1

1/50 divide by 1/25
= 1/50 x 25/1 = 1/2 < 1

4 0

2 years ago

Read 2 more answers

Which equation has the solutions X=1 +-SQRT 5?

Vesna [10]

Answer:

D is correct. $x^2-2x-4=0$

Step-by-step explanation:

We are given the root of the equation

$x=1+\pm \sqrt{5}$

If we are given solution of the equation then find equation using formula.

If a and b are the solution of equation then equation would be (x-a)(x-b)=0

Here, $a=1+\sqrt{5} , b=1-\sqrt{5}$

Equation form would be $(x-1-\sqrt{5})(x-1+\sqrt{5})=0$

Now we simplify the above equation to get correct option.

$x^2-x+x\sqrt{5}-x+1-\sqrt{5}-x\sqrt{5}+\sqrt{5}-5=0$

$x^2-2x-4=0$

So, D is correct. $x^2-2x-4=0$

8 0

3 years ago

Read 2 more answers

I need to complete the equation of the line through (3 -1) and (4 7). I am really stumped on this topic, please explain the proc

Nana76 [90]

Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.

$\frac{-1-7}{3-4}$

Which reduces to 8/1=8.

The slope of your equation is 8.

Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.

Plug the slope in:

y=8x+b.

Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).

-1=8(3)+b

-1=24+b

Subtract 24 from both sides.

-25=b

Now plug this into the equation!

y=8x-25 is your final equation.

I hope this helps :)

6 0

3 years ago

Compare the two ratios by entering >, < , or = in the box.<br><br> 6:15 30:80 ?

kodGreya [7K]

I think it is 6:15 > 30:80

hope it helps:)

6 0

2 years ago

A stand is a frustum shape, formed by removing a small square-based pyramid from the top of

kupik [55]

The frustum can be considered as consisting of a square pyramid, less the

cut volume.

The mass of the stand, is approximately 18.60905 kg

Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

$\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}$

$x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm$

$V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)$

B₁ = 10², B₂ = $\left(4\frac{4}{9} \right)^2$

Therefore;

$V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9} \right)^2 + \sqrt{10^2 \times \left(4\frac{4}{9} \right)^2} \right) \approx 218.93$

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.

Learn more here:

brainly.com/question/24323975

8 0

2 years ago

What do you notice about the graph when it passess through a root of even multiplicity?​

What do you notice about the graph when it passess through a root of even multiplicity?