Question 2: The Northside Knights were competing in a soccer game against the Goshen Gladiators. The Knights, k, scored 3 more goals than the Gladiators, g. The game had a total of 7 goals. Write a system of equations that could be used to determine the amount of goals each team scored.

Answer:

x = 11 and x = -1

Step-by-step explanation:

We have x^2−10x = 11 and want to make a perfect square out of x^2−10x.

To do this, take half of the coefficient of x, square this half, and then add and then subtract the square immediately following x^2−10x:

Half of -10 is -5, and the square of -5 is 25.

x^2−10x = 11 becomes x^2 - 10x + 25 - 25 = 11

Rewrite x^2−10x + 25 as the square of a binomial:  (x - 5)^2.

Then we have (x - 5)^2 - 25 = 11.  Solve this for x -5:

(x - 5)^2 = 36.  Taking the square root of both sides, we get

x - 5 = ±6

Then x = 11 and x = -1

hi add me now or else

Answer:

C)   1/3

Step-by-step explanation:

3 = 3/1

3/1  x  1/3  = 3/3  = 1

Answer:

(4, 3)

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Answer: x is -5 and y is +3

Step-by-step explanation:

yes

Answer:

sin

Step-by-step explanation:

its opposite over hypotenuse

Answer:

it should be sin

hope this work

Answer:

20 pies

4+4+4+4=16 hours

5+5+5+5= 20 pies

hope this helped

Step-by-step explanation:

Answer:

b = -10

c = 25

Step-by-step explanation:

Since the only solution to x is 5 that mean answer will look something like this:

(x-5) (x-5) = 0

x(x-5) -5(x-5)

x^2 -5x -5x + 25

x^2 -10x + 25

This is same as x^2 + bx + c = 0

where b is -10 and c is 25

Answer:

Number of people wearing a red t-shirt= 14,500

Step-by-step explanation:

Giving the following information:

Number of people= 50,000

Percentage of people using red t-shirt= 29%

To calculate the number of people wearing a red t-shirt, we need to use the following formula:

Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt

Number of people wearing a red t-shirt= 50,000*0.29

Number of people wearing a red t-shirt= 14,500

Answer:

314

Step-by-step explanation:

the formula to get the area of a circle is [tex]\pi r^{2}[/tex]

pi=3.14 and r=10

do you get 3.14 x [tex]10^{2}[/tex]

3.14 x 100

314

Answer:

Option 1

Step-by-step explanation:

option 1=243

option 2=125

Answer:

1. 1

2. m<1

3. h=8

4. h>8

Step-by-step explanation:

hope that helps!!:)

Answer:

1. m=1

2. m=0, 1

3. h=8

4. h=11, 17

Step-by-step explanation:

The variables stand for numbers. Replace the variables with any of the given numbers to make the equation or inequality true.

1. 1+5=6, so m=1

2. 0+5=5. 5<6. 1+5=6. 6=6. The symbol ≤ is "less than or equal to", so m=0 or m=1.

3. 5*8=40. h=8.

4. 5*11=55. 55>40. 5*17=85. 85>40. h=55 or h=85.

Answer:

1. D (x-5)^2-(y-2/2)^2=1

2. A

3. C No. The car travels counterclockwise in a circle at the origin with radius 2.

Step-by-step explanation:

Answer:

The line does not represent a direct variation because it does not go through the origin.

Answer:

9216

Step-by-step explanation:

number of small cubes that would fill the prism = volume of prism / volume of small cubes

volume of a prism = length x width x height

3 x 6 x 8 = 144

volume of cube = length³

(1/4)³ = 1/64

144 ÷ 1/64

144 x 64 = 9216

Answer:

[tex]a = \frac{bq}{n}[/tex]

Step-by-step explanation:

If we are trying to solve for "a", then we need it to be alone on one side of the equation.

[tex]\frac{n}{q} = \frac{b}{a}[/tex]

[tex]\frac{an}{q} = b[/tex]

[tex]a = \frac{bq}{n}[/tex]

Answer:

Step-by-step explanation:

h = 1

k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41

Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

Answer:

d. 135

Step-by-step explanation:

[tex] {m}^{2} = 3...(given) \\ \therefore \: {( {m}^{2} )}^{3} = {3}^{3} \\ \therefore \: m^{6} = 27 \\ \therefore \: 5m^{6} = 27 \times 5 \\ \therefore \: 5m^{6} = 135[/tex]

Answer:

ok ok ok i gotchuu

Step-by-step explanation:

Answer:

ok will do!

Step-by-step explanation:

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

Answer:

D

Step-by-step explanation:

[tex]6 {x}^{2} + 5 - 4x + 3[/tex]

simplifies down to

[tex]6 {x}^{2} - 4x + 8[/tex]

Answer:

A

Step-by-step explanation:

You cannot combine the unlike terms. The only thing you can do is combine the 5-3=2 then bring everything else down.

Answer: The answer would be C

Step-by-step explanation:

You want to divide. 15/3= 5 and then a^3 is basically being divided by 1 so your completed answer would be 5a^3

1, 1/4, -1/2, -5/4, -2

Let the first term of the sequence be a;

Since the sequence has a rule to subtract 3/4 from the previous term;

the second term will be a - 3/4

the third term will be (a - 3/4) - 3/4

=> a - 6/4

=> a - 3/2

the fourth term will be (a - 3/2) - 3/4

=> a - 9/4

the fifth term will be (a - 9/4) - 3/4

=> a - 12/4

=> a - 3

We can then create a hypothetical series by setting a = 1.

The first term => a = 1

The second term => a - 3/4 = 1 - 3/4 = 1/4

The third term => a - 3/2 = 1 - 3/2 = -1/2

The fourth term => a - 9/4 = 1 - 9/4 = -5/4

The fifth term => a - 3 = 1 - 3 = -2

The generated sequence is therefore:

1, 1/4, -1/2, -5/4, -2

Note: The numbers in the sequence are rational numbers since they all have a non-zero denominator.

Answer:

transitive

.......gguf