Please help answer the attached question

System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is  ax² + bx + c = 0.

The quadratic equation formula for the solution of roots.

[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]

The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation

If D is greater than zero then the roots are real and distinct.

If D is equal to zero then the roots are real and equal.

If D is less than zero then the roots are imaginary and unequal.

y = x² + 7x + 4

From First option, System of equations

y = x² + x – 4

y = x – 5

So, x - 5 = x² + x – 4

x² + x – 4 - x + 5 = 0

x² + 1 = 0

discriminant = b²- 4×a×c

= 0²- 4×1×1

-4 < 0, therefore the equation has no real roots.

From Second option, System of equations

y = x² + 2x – 1

y = x – 5

So, x - 5 = x² + 2x – 1

x² + 2x - 1  - x + 5 = 0

x² + x + 4 = 0

discriminant = b²- 4×a×c

= 1²-4×1×4

-15 < 0   therefore, the equation has no real roots.

From Third option, System of equations

y = x² + 6x + 9

y = x – 5

So, x - 5 = x² + 6x + 9

x² + 6x + 9  - x + 5 = 0

x² + 5x + 4 = 0

discriminant = b²- 4×a×c

= 5²-4×1×4

9 > 0 therefore, the equation has two different real roots.

From Fourth option, System of equations

y = x² + 7x + 4

y = x – 5

So. x - 5 = x² + 7x + 4

x² + 7x + 4 - x + 5 = 0

x² + 6x + 9 = 0

discriminant = b²- 4×a×c

= 6²-4×1×9 = 0

0  therefore, the equation has one real root.

Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

Learn more about quadratic equations;

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Answer:

D on edge

Step-by-step explanation:

Answer:

[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]

Subtract to find how much was spent on coffee:

90 - 47.65 = 42.35

Divide what was spent by the price per pound:

42.35 / 8.47 = 5

They bought 5 pounds of coffee

The coefficient of determination is the ratio of the sum of squares regression and the ssy

The sum of squares regression is 27

The given parameters are:

Coefficient of determination, R^2 = 0.12

SSy = 225

The coefficient of determination is calculated as:

R^2 = SSR/SSY

So, we have:

0.12 = SSR/225

Make SSR the subject

SSR = 0.12 * 225

Evaluate the product

SSR = 27

Hece, the sum of squares regression is 27

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The sum of squares regression is 27

The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.

The coefficient of determination is calculated by using the following formula;

[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]

Hence, the sum of squares regression is 27.

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#SPJ3

Answer:

you just have to do it yourself

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-3(4x - 2) - 2x

-12x + 6 -2x

-14x + 6

Answer:

it is option B that is correct

Step-by-step explanation:

use BODMAS

B- Brackets

O-order

D-division

M-multiplication

Addition

Subtraction

Answer:

5/6

Step-by-step explanation:

There are 5 steps to solving this problem:

Using these steps, we see that:

Answer:

7.4 m it's because toes are yummy

Answer:

B. Subtract 2x

D. Add 6

Step-by-step explanation:

To solve this problem, isolate it by the term of x from one side of the equation.

First, add by 6 from both sides.

[tex]\sf{8x-6+6=2x+24+6}[/tex]

Solve.

Add.

24+6=30

Rewrite the problem down.

[tex]\sf{8x=2x+30}[/tex]

You have to subtract by 2x from both sides.

[tex]\sf{8x-2x=2x+30-2x}[/tex]

Solve.

8x-2x=6x

Rewrite the problem down.

6x=30

Then, you divide by 6 from both sides.

6x/6=30/6

Solve.

Divide the numbers goes from left to right.

30/6=5

x=5

Therefore, the solution is x=5, which is our answer.

In the correct answer is B and D.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is no

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 9

y = 2x + 5

For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.

First, I will substitute the first equation, for y, into the second equation:

y = 4x + 9

y = 2x + 5

4x + 9 = 2x + 5

Next, subtract 2x from both sides to isolate x:

4x + 9 = 2x + 5

-2x      -2x

2x + 9 = 5

Then, subtract 9 from both sides:

2x + 9 = 5

     - 9  - 9

2x = -4

Now, divide both sides by 2:

2x = -4

/2    /2

x = -2

Now, we find the value of y, by substituting -2 for x:

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

(x, y) ==> (-2, 1)

Check your answer using (-2, 1):

y = 2x + 5

1 = 2(-2) + 5

1 = -4 + 5

1 = 1

This statment is correct

y = 4x + 9

1 = 4(-2) + 9

1 = -8 + 9

1 = 1

This statment is also correct

Check your answer using  (-6, -7):

y = 2x + 5

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

This statment is correct

y = 4x + 9

-7 = 4(-6) + 9

-7 = -24 + 9

-7 = -15

This statment is NOT correct

Therefore, no (-6,-7) is NOT a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

no

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I always remember it, over then up

Answer:

b no.is the correct answer.

Answer:

Step-by-step explanation:

Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.

[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]

8*(x + 12) = 22*5

8x + 8*12 = 110

 8x + 96 = 110

        8x = 110 - 96

        8x = 14

          x = 14/8

          x = 1.75

The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.

The first step is to determine the rate of increase of the bacteria. The formula that can be used is:

g = (FV / PV)^(1/n) - 1

Where:

(75/40)^(1/3) - 1 = 23.3%

The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:

Number of hours =  (IN FV / PV) / r

(IN 120/75) / 0.233 = 2 hours

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Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

5

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25

Hey so I have a question do u need to explain?

Answer:

hai

Step-by-step explanation:

Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi

dengan asumsi harga jam naik 2% / tahun. Future Value

Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi

dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present

value. Future value. Present value annuity.

Bunga di terima per bulan, dan tetap di gulung.

Ya Berapa yang dia tabung tiap bulan

-pakai tabel

Answer:

6 years

Step-by-step explanation:

Given values :

To Find :

Solving :

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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Answer:

1.5hours

Step-by-step explanation:

Answer:

12.5 years = 216 months

Step-by-step explanation:

4% of 2000= $80

1000/80=12.5

It will take 12.5 years to make $1000 on its own without adding additonal funds.

Step-by-step explanation:

the ratio that relates two given values in what is known as a proportional relationship.

self explainatory

Quadrilateral and Rhombus

Answer:

square ,rhombus, parallelogram

Step-by-step explanation:

please mark me as brainlest

Answer:

72

Step-by-step explanation:

First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72

Your answer is

Step-by-step explanation:

The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is x² + y² + 4x – 8y + 11 = 0

Add 9 on both sides of the equation, then we have

x² + y² + 4x – 8y + 11 + 9 = 9

x² + 4x + 4 + y² – 8y + 16 = 9

             (x + 2)² + (y – 4)² = 3²

The center of the equation is (–2, 4).

More about the circle link is given below.

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Answer:

A. (-2, 4)

Step-by-step explanation:

i did it B)

Answer:

Step-by-step explanation:

If i is 300 times as much as k, then i=300k.

So we have k(something)=300k -> that something is 300

Answer:

No

Step-by-step explanation:

If you simplify 17/8;

You'd get 2 1/8, and that is not proportional to 1/2.

Answer:NO

Step-by-step explanation:

17 is a prime number hence can't be simplified.

⇒ 17/8 can't be simplified