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Answer:

Grade 8 Worktext-Science Quarter 3

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.

Answer:

The triangles are not similar.

Step-by-step explanation:

Look at ratios of corresponding sides. If the triangles are similar, all the ratios will be equal.

Compare a side from [tex]\triangle{RTS}[/tex] with a side from [tex]\triangle{MQP}[/tex].

16/20 = 4/5

12/15 = 4/5  (looks promising, so far!)

20/26 = 10/13   Not at all the same as 4/5, so the triangles are not similar.

Answer:

Did you know that whales only use 10% of there sperm when mating the rest is wasted and a whale can have up to 400 L of sperm when mating

Answer: he can choose from three combinations

Step-by-step explanation: since three is the lowest number it can be paired with three others combinations  

The number of different outfits Tyler choose is equal to 840

From the question, we have the following parameters that can be used in our computation:

Given 3 pairs of pants, 7 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.

Thus, the number of different outfits is the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 3 x 7 x 8 x 5

Evaluate;

Different outfits = 840

Hence, there are 840 different outfits

Read more about combination at

brainly.com/question/11732255

#SPJ2

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

Answer: 4

Step-by-step explanation:

By finding the relative frequency, we will see that we can expect that 4 out of the next 20 sundaes will have nuts.

First, we know that 2 out of the last 10 sundaes sold had nuts. So the relative frequency of sundaes with nuts is:

R = 2/10 = 0.2

(the quotient between the number of sundaes with nuts and the total number of sundaes)

Then, out of the next 20 sundaes, we can expect that the number of sundaes with nuts will be:

N = R*20 = 0.2*20 = 4

If you want to learn more about relative frequency, you can read:

https://brainly.com/question/3857836

Answer:

-5 and 2

Step-by-step explanation:

-5+2=-3

-5*2=-10

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

Answer:

D

Step-by-step explanation:

because both are x and y and they can be any number so no matter what the number is it will equal 4 and 2.

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

I try it

Answer:

28.36

Step-by-step explanation:

Perimeter = 45

Perimeter = 2x + 3 + x + 6x + 1

2x + 3 + x + 6x + 1 = 45

9x + 4 = 45

9x = 45 - 4

9x = 41

X = 41/9

X = 4.56 or 4.6 (base on how may decimal places)

Hypotenuse

=6x + 1

= 6(4.56) +1

=38.36

Or

Hypotenuse

=6x +1

= 6(4.6) +1

=28.6

Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one

Step-by-step explanation:

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Answer:

135 units²

Step-by-step explanation:

height = √17²-8²=√289-64=√225=15

area = 9×15 = 135 units²

Answer:

1

Step-by-step explanation:

37 is prime

Answer:

1

Step-by-step explanation:

37 is prime so 1 is the only gcf

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

Area os base = (Length) Times (width)

train A speed = 95 mph

train B speed = 105 mph

they are travelling towards each other

so effective speed = 200 mph.

distance = 360 miles

t= d/r

t=360/200

time = 1.8 hours they will meet

3x+6-[-5]+7x

=3x+6+5+7x

= 3x+7x=6+5

=10x=11

=x=11/10

SO,

x=11/10

Answer:

4x+11

Step-by-step explanation:

-3x+7x +6+5

4x+11

Answer:

AUC={0,1,2,3,4,6,8}

hope it helps.

C = {1, 2, 3, 8}

A U C = {0,1,2,3,4,6,8}

Answer:

The answer is 95 in^2

Step-by-step explanation:

The lawn is made up of 5 congruent triangles.

Since we know the area of the triangles we can add or multiply them.

5 * 19 = 95 so the area is 95 in^2

Answer:

The chance of getting a pair of black socks is 73.33%