Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

⇒ (b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

Learn more about the completing the square here:

https://brainly.com/question/4822356

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Answer:

hello! :) have a good day!

Exact Form:

b =15/4

Decimal Form:

b =3.75

Mixed Number Form:

b =3 3/4

Answer:4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The numbers are the terms

6 numbers 6 terms

Answer:

The slope is 5

the y-intercept is (0,7)

Step-by-step explanation:

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

Answer:

It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)

Step-by-step explanation:

Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.

Answer:

Ummm the first choice?

Step-by-step explanation:

I guessing and not reading

Answer:

x     y

-2    36

-1     6

0      1

1       1/6

2       1/36

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{6})^x[/tex]

Required

Complete the table

When x = -2.

Substitute -2 for

[tex]f(-2) = (\frac{1}{6})^{-2[/tex]

[tex]f(-2) = 1/\frac{1}{36}[/tex]

[tex]f(-2) = 36[/tex]

When x = -1

[tex]f(-1) = (\frac{1}{6})^{-1[/tex]

[tex]f(-1) = 1/\frac{1}{6}[/tex]

[tex]f(-1) = 6[/tex]

When x = 0

[tex]f(0) = \frac{1}{6}^0[/tex]

[tex]f(0) = 1[/tex]

When x = 1

[tex]f(1) = \frac{1}{6}^1[/tex]

[tex]f(1) = \frac{1}{6}[/tex]

When x = 2

[tex]f(2) = \frac{1}{6}^2[/tex]

[tex]f(2) = \frac{1}{36}[/tex]

Answer:

Olivia-2.25

Hope I helped

Answer:

Interval ( 24 ; 40 ) has  136 participants

Interval ( 16 ; 40 ) has 163 participants

Step-by-step explanation:

Normal distribution.

As variance is 64     then  standard deviation is σ = 8

And  mean   μ₀ = 32

We can see that   μ₀ ± σ      is    32 ± 8

The interval  (  32- 8 ; 32+8 )  is  ( 24 ; 40 )

By empirical Rule we know that   μ₀ ± σ   contains 68% of the population then   200*0,68 = 136

The number of participants between 24 and 40  is 136

By symmetry of these 136   half of them are between 32 and 40 ( 136/2 = 68 )  ( between mean and 40 )

Now in the interval  ( 16 ; 40 ) we note that  16 is  32 - 16  = 16 or μ₀ - 2σ

And again by empirical rule  μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2   95 are between  μ₀ - 2σ, therefore

95 people are between        μ₀ - 2σ   or between  ( 16  ; 32 ) and between  ( 32 ; 40  ) there are 68 people then

The interval  ( 16 ; 40 )  has  95 + 68  = 163 participants

Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

-------------

Checking:

Equation/Question:

−6x−(−8)=2

----------------------

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

Step-by-step explanation:

area of triangle = 1/2 × base × height

= 1/2 × 6×4

= 12 cm²

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

thankyou.

I think it’s 12cm but I am not sure sorry dude

Answer:

i want a slushie what's your favorite slushie flavor

Answer:

-1.75

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

5/4-(-1/2)

5/4+1/2

5/4+2/4

7/4

Answer:

1 2 and 4

Step-by-step explanation:

Answer:

3,4,5,&6

Step-by-step explanation:

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

Answer:

20%

Step-by-step explanation:

8 × 25 = 200

200 × 20% = 160

Answer:

n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and  Rochelle has invested $2500 in a jewelry making kit.

Step-by-step explanation:

t=100 I was not sure about y sowyy

Answer:

10m

Step-by-step explanation:

Hope this helps! Please give me brainliest and tysm!

Answer:

10 m

Step-by-step explanation:

Area of the triangle

=40 m²

height (h) = 8 m

Base (b) = ?

We know

Area of triangle = 1/2 * b * h

40 = 1/2 * b * 8

40 = 4b

b = 10 m

Hope it will help :)

Answer:

(6,30)

Step-by-step explanation:

This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.

Answer:

Infinity

Step-by-step explanation:

9x -27 = 9x -27

-9x .     -9x

-27 = -27 = always true

Answer: Coordinates of the vertices of the vertices of the given imagen.

Answer:

180270

Step-by-step explanation:

Do Pemdas to find order of operations:

(264*675)+ 1239-56+887

So it is:

(178200)+2070

This equals: 180,270

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]