There are 10 girls and 5 boys in Ms. Sander's class. Each day, she randomly asks one student to take attendance. In 180 school days, which is the best prediction for the number of times that the student will be a girl?

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

We have x^2-8x+20 is always positive.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

x^2-8x+20

=x^2-2.x.4+16+4

if you rearrange to complete the square,

you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero,

the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0,

so, positive.

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Answer:

x = 14 and y = 10

Step-by-step explanation:

TRANSLATING WORDS INTO EQUATIONS:

Let the two numbers be x and y  

"The sum of two numbers is 24" translate as x + y = 24  

"Their difference is 4" translates as x-y=4

Those two equations make up the system of linear equations

SOLVING BY ELIMINATION:

Adding the two equations, we get

x + y + x - y = 24 + 4

2x = 28

x = 28 / 2

x = 14

substituting that into x + y = 24 we get

14 + y = 24

y = 24 - 14

y = 10

hope it helps :)

Answer:

x=0,x=1/4

Step-by-step explanation:

2x=8(x^2)

Subtract 8(x^2) from both sides

2x-8x^2=8x^2-8x^2

Simplify

2x-8x^2=0

Factor 2x-8x^2;

2x-8x^2

=-8xx+2x

Rewrite 8 as 2*4

=-2*4xx+2x

Factor out common term -2x

=-2x(4x-1)

-2x(4x-1)=0

x=0 or 4x-1=0

Solve 4x-1=0;x=1/4

4x-1=0

Add 1 to both sides

4x-1+1=0+1

Simplify

4x=1

Divide both sides by 4

4x/4=1/4

Simplify

x=1/4

The solutions to the quadratic equation are;

x=0,x=1/4

Hope this helped!!!!

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

Step-by-step explanation:

According to the base of similarity, then

12÷6=8÷x

12x=48

=4

6+4=

10

1. Even

2. Odd

3. Even

4. Odd

5. Odd

6. Even

7. Odd

8. Odd

9. Even

10. Even

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Answer:

2,000 m (2 Liters) = 100 plants

Step-by-step explanation:

2,000 milliliters make up 2 liters.

200 liters are being poured.

2,000/200 = 10

10 plants are being watered each time.

200 m = 10 plants

400 m = 20 plants

600 m = 30 plants

800 m = 40 plants

1,000 m = 50 plants

1,200 m = 60 plants

1,400 m = 70 plants

1,600 m = 80 plants

1,800 m = 90 plants

2,000 m = 100 plants

Let me know if this helps!

Answer:1) 76m

2) 239 cm

Step-by-step explanation:

Answer:

2xm+3=34

Step-by-step explanation:

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Answer:

13,564.8

Step-by-step explanation:

The ratio of the volumes of similar solids is the cube of the scale factor.

Scale factor:

red solid : blue solid = 12/10 = 6/5

Ratio of volumes:

volume red solid : volume blue solid = (6/5)^3

volume of red solid = 7850 ft^3 * (6/5)^3 = 13,564.8 ft^3

Answer: V = 13,564.8 ft^3

Answer:

r= 275

Step-by-step explanation:

Let's write an equation with the given information.

44= r% ×16

Rewrite the percentage as a fraction:

[tex]44 = \frac{r}{100} \times 16[/tex]

Divide both sides by 16:

[tex] \frac{r}{100} = 44 \div 16[/tex]

[tex] \frac{r}{100} = 2.75[/tex]

Multiply both sides by 100:

r= 2.75(100)

r= 275

Answer:

12

Step-by-step explanation:

hello :

√24 ×√6 = √(24×6) =√144 = √12² = 12

Answer:

root 144 or 12

Step-by-step explanation:

24 by 6 is 144 so root 144 becomes 12

Answer:

3.84 in³

Step-by-step explanation:

V=l*w*h

[tex]5.97*1.34*.48\\=3.839904[/tex]

≈3.84

Answer:3.84 in³

Step-by-step explanation:

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Answer:

2r

Step-by-step explanation:

You suppose that the radius of a larger circle = r

so diameter = r*2 = 2r

aint really sure tho

Answer:

2R

Step-by-step explanation:

The formula to find the diameter states the relationship between the diameter and the radius. The diameter is made up of two segments that are each a radius. Therefore, the formula is: Diameter = 2 * the measurement of the radius. You can abbreviate this formula as d=2r.

Answer: D

Step-by-step explanation:

5x + 4x = 180°

Angles on a straight line add to 180°

Answer:

B

Step-by-step explanation:

I hope this helps you :)

Answer:

thx for the points

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

if J (Jeremy) ran 16 less than K(Kacie) and J ran 8 miles add 8 and 16 together which is 24 to get the answer.

hope this helped

Answer:

24 miles

Step-by-step explanation:

let what Kacie ran be x miles

x-16=8, 16 being the difference of what they ran, 8 being how many miles jeremey ran

that makes x=24 because 16+8=24

Answer: the answer is 6

Step-by-step explanation: You can use polynomial long division or synthetic division.