Ask question

Ask question

All categories

antoniya [11.8K]

2 years ago

13

According to the fundamental theorem of algebra which polynomial function has exactly 8 roots? A.F(x)=(3x^2-4x-5)(2x^6-5) B.f(x)

=(3x^4+2x)^4 C. (4x^2-7)^3 D. F(x)=(6x^8-4x^5-1)(3x^2-4)

1 answer:

choli [55]2 years ago

3 0

I think it’s a because I added from the therum

You might be interested in

Will's band played 33 shows in three months. How many shows per month did they play?

GrogVix [38]

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

5 0

2 years ago

What is the equation of a line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ? Enter your equation in th

ANTONII [103]

Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope

so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2

perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2

y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b

so the equation is
y=-2x-3

your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation

so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)

6 0

2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

9 months ago

In a class of 40 students, 5 like neither Nokia nor

STatiana [176]

Answer:

<em><u>The number of students that like only Nokia </u></em>

<h2>= 30</h2>

Step-by-step explanation:

consider N the number of students who like Nokia → N=?

T the number of students who like Techno → T=35

Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno

we can translate it like this: 35 student like Nokia or Techno

we can note it like this : T∪N= 35

Statement 2: 30 like Techno and Nokia

we can note it : T∩N = 30

using a rule concerning the number of element of a set :

T∪N = N + T - T∩N

then

35 = N + 35 - 30

⇒ N - 30 = 0

⇒ N = 30

7 0

3 years ago

When you mix two colors of paint in equivalent ratios, the resulting color is

vredina [299]

Answer:

Step-by-step explanation:

From the given table,

To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,

Since, 2 cups of blue paint are mixed with 10 cups of yellow paint

Therefore, ratio in which these shades have been added = $\frac{\text{Pink}}{\text{Blue}}$

= $\frac{10}{2}$

= $\frac{5}{1}$

= 5 : 1

For 1 cup of blue paint number of cups of yellow paint required,

$\frac{x}{1}=\frac{5}{1}$

x = 5 cups

For 3 cup of blue paint number of cups of yellow paint required,

$\frac{x}{3}=\frac{5}{1}$

x = 15 cups

Cups of blue paint Cups of yellow paint

2 10

1 5

3 15

5 0

3 years ago