PLS HELP ILL GIVE U POINTS :)

Explain how you know the following system of equations has at most 2 solutions.
Solve the system algebraically. Show your work.
Solve the system by graphing.


y= 2x-1
y= x^2-9

Answers

Answer 1

Answer:

Step-by-step explanation:

PLS HELP ILL GIVE U POINTS :)Explain How You Know The Following System Of Equations Has At Most 2 Solutions.
Answer 2

Answer:

The said explanation is the answer.

Step-by-step explanation:

1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.  

2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)

In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.

Here's the graph:


Related Questions

what is 200 times 1238

Answers

Step-by-step explanation:

the answer is 247,600

hope this helps

Answer: the answer is 247,600

Step-by-step explanation:

For the expression 34- 34a to have a negative​ value, what must be true about the value of a ​?

Answers

Answer:

a>0

Step-by-step explanation:

if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0

Explain how to write an equation from a graph in slope intercept form .

Answers

Step-by-step explanation:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The  y- coordinate is the value of b in the equation.

pls give brainest i only have 2

The slope intercept form is given by y = mx + c

What is the Slope Intercept Form of a Line?

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

Given here: Slope intercept form

We know that, the equation of a line in point slope form, where (x1, y1) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x, y₁) = (0, c)

Substituting these values, we get;

y – c = m(x – 0)

y – c = mx

y = mx + c

Therefore, the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c

Hence, The slope intercept form is given by y = mx + c

Learn more about slope intercept form here:

https://brainly.com/question/29146348

#SPJ2

Can you find the numbers as powers with the given bases as your clue? Example: the number is 64 and the base is 4. I test 4x4=16 Then 16x4=64 So my power must be 43 because 4x4x4=64. Now you try... 1. It has a value of 32; it has a base of 2 2. 81, base 9 3. 81, base 3 4. 100, base 10

Answers

Step-by-step explanation:

For 32:

The factors are as shown:

32 = 2*2*2*2*2

32 = 2²*2³

32 = 2²⁺³

32 = 2⁵ (Base of 2 and power of 5)

For 81:

factors

81 = 3*3*3*3

81 = 3²*3²

81 = 3²⁺²

81 = 3⁴ (Base of 3 and power of 4)

For 100:

factors

100 = 10*10

100 = 10² (Base of 10 and power of 2)

expand and simplify (x +2)(x+ 1)

Answers

Answer:

x²+3x+3

Step-by-step explanation:

(x+2)(x+1)

x²+x+2x+3

=x²+3x+3

Answer:

x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 1) + 2(x + 1) ← distribute both parenthesis

= x² + x + 2x + 2 ← collect like terms

= x² + 3x + 2

Use the distributive property to simplify the expression, then combine like terms -12 - 5p +2(6p+p)

Answers

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

If -2z+3=9 what is the value of 2/3z?

Please Explain the steps.

Answers

Answer:

-2

Step-by-step explanation:

1.Subtract 3 from both sides and the equation is -2z=6

2.Divide both sides by -2 and the equation is z=-3

3.Multiply -3 by 2/3 and you get -2

Answer:

2/3z = -2

Step-by-step explanation:

1. First you want to find out what z is, so you have to solve for z.

2. To solve for z, first subtract 3 from the 3 and the 9. 3 minus 3 is equal to 0, so it cancels out. 9 minus 3 is equal to 6.

3. The new equation is -2z = 6, so now you have to divide -2z by -2 and 6 by -2. -2z divided by -2 is equal to 1z or z, and 6 divided by -2 is equal to -3.

4. The simplified equation is z = -3.

5. Now that we solved for 1z, we have to solve for 1/3 by dividing 1 by 3 and -3 by 3. 1 divided by 3 is 1/3, and -3 divided by 3 is -1.

6. We have solved for 1/3z (1/3z = -1), but now we want to solve for 2/3z so we have to multiply 1/3z by 2, and -1 by 2. 1/3z times 2 is 2/3z, and -1 times 2 is equal to -2.

7. The simplified equation for the value of 2/3z in the equation -2z + 3 = 9 is 2/3z = -2


A 3-yard roll of butcher paper costs $8.55. What is the price per foot?

Answers

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

please i need help asap. if u can help that’d be great

Answers

Answer:

The answer is B. (2x-3)

the answer to this question is b. 2x-3

If p varies directly as
the cube of q, and p =
26 when q = 2, find p
when q = 5

Answers

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

p varies directly as the cube of q

→ That means p ∝ q³

The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

3.25 = k

→ Substitute it in the equation of variation

p = 3.25 q³ ⇒ equation of variation

q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

p = 406.25

The value of p at q = 5 is 406.25

what is the slope of a line perpendicular to the line whose equation is 2x-y=-6

Answers

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.

being a rectangle is a necessary condition for being a square

Answers

Answer:

false

Step-by-step explanation:

all rectangles are squares not all squares are rectangles

Jessica prepared 36 kilograms of dough after working 6 hours. How much dough did Jessica prepare if she worked for 8 hours? Assume the relationship is directly proportional.

Answers

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

Find the value of f(-5).
y=f(x)

Answers

Answer:

???

Step-by-step explanation:

???

what is half of 2^6?????
Need this asap so if you see this and are willing to help me please do

Answers

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

you earn $25 for washing 5 cars how much do you earn for washing 4 cars

Answers

You will earn $20 washing 4 cars

What is the equation of the following graph

Answers

Answer:

Undefined

Step-by-step explanation:

Help and brainliest? :(

Answers

Each exterior angle is 120 degrees

I think

Solve for X
-9x - 8+5x=28

Answers

Answer:

X=-9

Step-by-step explanation:

X = -9

plug it in and see what works -9 is the only one you can plug in to get 28

Figure B is a scaled copy of Figure A.

Answers

Answer:

1/3

Step-by-step explanation:

On left side its 6:2 so 6/2 is 3

the scale factor is 1/3 because figure is a reduction

hope it helps ;)

Answer:

1/3

Step-by-step explanation:

The side that's highest is 9 units, the the image its 3. 3/9= 1/3

Which equation represents the line that is parallel to y = 4 and passes through (-3,1)?

Answers

Answer:

y=1

Step-by-step explanation:

The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m

Answers

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

The perimeter of a kite can be found using the formula P = 2S + 2L. Which equation expresses S in terms of P and L?

Answers

Answer:

Step-by-step explanation:

P = 2S + 2L

2S + 2L = P

       2S = P - 2L

          S = [tex]\frac{P-2L}{2}[/tex]

Answer:

0.5P - L

Step-by-step explanation:

P = 2S + 2L

P - 2L = 2S +2L - 2L

P - 2L = 2S

0.5P - L = S

Uh help i don`t get this (ez question) :D

Answers

Answer:

Dividend  divided by Divisor = Quotient

5 divided by 8 = 0.625

Step-by-step explanation:

Verifying the top Awnser that’s pretty much it ^^

I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME

Answers

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

slove for x in terms of p,m, and g

m=g-px​

Answers

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

-(m-g)/p =x

which expression is equivalent to −34÷(−812)?

Answers

Answer:

-34/-812 = 17/406

Step-by-step explanation: i think this is right...

Answer:

Your answer is: Look Below ↓

Step-by-step explanation:

Hope this helped : )

DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA

Answers

Answer:

da de da da da de do re mi fa so la mi AAAAAAAAAAA

Step-by-step explanation:

I can speak the language of the gods xD

-4(3+7m) please help i will give brainlest and do not answer just to get points this is DUE IN FIVE MINUTES

Answers

Answer:

-28m-12

Step-by-step explanation:hope that helps :)

=(−4)(3+7m)

=(−4)(3)+(−4)(7m)

=−12−28m

=−28m−12

Answer:

-4(3+7m) = -28m - 12

Step-by-step explanation:

-4 (3 + 7m)

= -4 (3) + -4(7)

= -12 + (-28)

= -12 -28m

Express 48 1/4 in simplest radical form.

Answers

Convert the mixed number to an improper fraction...

To take a root of a fraction, take the root of the numerator and denominator separately

Final answer should be around 6.94622
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