Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.

Answer:

5x+8y

Step-by-step explanation:

We can first open the brackets by using the distrubitive propety.

2(x+4y)+3x

2x+8y+3x

Now we can combine like terms.

5x+8y.

I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.

Hoped this helped,

JoeLouis2

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

Answer:

42875

Step-by-step explanation:

because I would have 35 roses in each package

35 x 35= 1225

1225 would be multiplied by the 35 boxes

1225 x 35 = 42875

Answer:

306 square inches.

Step-by-step explanation:

All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).

6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.

Each face of one cube = 3*3 = 9 in^2.

Therefore the surface area =  9 * 34 = 306 in^2.

Answer:

the first one

Step-by-step explanation:

all created functional values must always be negative, because "absolute value" Shays creates only positive numbers, and then the "-" in front makes then sure we have only negative numbers.

that rules out the third and fourth answer option.

to decide between first and second answer, I choose to see, when the function should deliver 0 as functional value.

f(x) is 0, when x+3 is 0. and that is only possible for x=-3.

so, at x=-3, y=0.

and that is only true for the first answer option.

Answer:

x = 9 or x = -9

Step-by-step explanation:

The parameters of the given points are;

The location of the point T = (0, 7)

The location of the point U = (x, -5)

Then distance between points T and U = 15 units

The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;

[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, for the given points, T(0, 7) and U(x, -5), we get;

[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]

Squaring both sides, gives;

[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]

∴ x² = 15² - (-12)² = 81 = 9²

x² = 9²

∴ x = ±√(9²) = ± 9

The possible values of x are x = 9 or x = -9

Answer:

7.5 litres

Step-by-step explanation:

Let the amount of orange juice ve 3x litres and amount of grapefruit juice be 1x. (As they are in ratio of 3:1.)

Now, according to the question,

So,

⇒ Amount of orange juice + Amount of grape fruit juice = 10 litres

⇒ 3x + x = 10

⇒ 4x = 10

⇒ x = 10 ÷ 4

⇒ x = 2.5

Now,

⇒ Amount of orange juice he used= 3x litres

⇒ Amount of orange juice he used= 3(2.5) litres

⇒ Amount of orange juice he used= 7.5 litres

∴ He used 7.5 litres of orange juice.

Answer:

1,645 poles

Step-by-step explanation:

Here, we want to calculate the total number of poles

We can have an arithmetic progression here

Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1

Firstly, we calculate the number of stacks which can be obtained using the nth term formula;

Tn = a + (n-1)d

58 = 12 + (n-1)1

58 = 12 + n - 1

58 = n + 11

n = 58-11

n = 47

So we have the stack high up to 47 units

So, using the sum of terms in an arithmetic sequence formula, we have;

Sn = n/2 ( a + L)

where a is the first term 12 and L is the last term 58

Thus, we have

Sn = 47/2( 12 + 58)

Sn = 47/2 * 70

Sn = 1,645

Answer:

30 girls

Step-by-step explanation:

         boys to girls

               4 to 6

since there are 50 players we have

    4*5= 20 to 6*5 =30

because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

54

Step-by-step explanation:

Since triangle ABC ~ DEF

Angle A = Angle D

Angle A = 54

Answer:

A

Step-by-step explanation:

because the intercept on the y axis is 6

Answer:

diagonal, congruent triangles

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth

Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0

Answer:

Here you go!

Hope this helps!

Answer:

the area of triangle is the product of the base and height divided by 2

Step-by-step explanation:

follow me

Answer:

Perimeter=a+b+c

Step-by-step explanation:

As perimeter is sum of all sides so,

Let sides of triangle be a, b and c

Perimeter=a+b+c

Mark me as brainliest

Thanks

Answer:

24

Step-by-step explanation:

12 + (12)

first do for the bracket

12 + 12

24

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

Answer:

B. 2

Step-by-step explanation:

The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:

5(2) - 3 = 3(2) + 1

10 - 3 = 6 + 1

7 = 7

So x is 2

Answer:

It is placed to the left of –2

Answer:

A 99.96%

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

The probability can be gotten from the normal distribution table. Therefore from the normal table:

P(z < 3.37) = 0.9996 = 99.96%

Answer:

[tex]h=4m[/tex]

Step-by-step explanation:

Speed [tex]V=24m/s[/tex]

Time [tex]t=6.0s[/tex]

Generally the equation for Height is mathematically given by

 [tex]h=\frac{V}{t}[/tex]

 [tex]h=\frac{24}{6}[/tex]

 [tex]h=4m[/tex]

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer:

Step-by-step explanation:

1. Three million, two hundred ninety eight thousand, seventy six

2. 50,003,087

50,000,000+3000+87

3. 60,400,239

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]

Answer:

y = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

4 = 2² and 8 = 2³ , then

[tex]4^{y}[/tex] = 8, can be written

[tex](2^2)^{y}[/tex] = 2³

[tex]2^{2y}[/tex] = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y = [tex]\frac{3}{2}[/tex]

y = 1.5

Step-by-step explanation:

[tex] {4}^{y} = 8[/tex]

Take the logarithm of both sides and you will get

[tex] \log {4}^{y} = y \log4 = \log8[/tex]

or

[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]

Answer:

almonds =345, cashews=125

Step-by-step explanation:

a=almonds, c=cashews

8a+12c=4260. Equation 1

a + c= 470  Equation 2

a=470-c. Isolate a from equation 2

8(470-c)+12c=4260 sub value of a from equation 2 into equation 1

3760-8c+12c=4260

4c=500

c=125

solve for a by substituting value of c into either equation

a+c=470

a+125=470

a=345