Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

–5
–2
1
5

Answer:

[tex]ax^{2} +bx+c^{2}=0[/tex]

Step-by-step explanation:

A quadratic equation is a equation that takes the form: [tex]ax^{2} +bx+c^{2} = 0[/tex]

   Ex. Using our definition of quadratic equations, [tex]ax^{2} +bx+c^{2}=0[/tex],

          We can set a = 2, b = 1, c = 6:

               [tex]2x^{2} +x+6^{2}=0[/tex]

               [tex]2x^{2} +x+36=0[/tex]

          Which can then be solved (if you are trying to solve it) as:

               [tex](2x+9)(x-8)=0[/tex]

                [tex]x=\frac{9}{2}, 8[/tex]

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

Step-by-step explanation:

I wrote down the steps Step-by-step for you

I hope you understand....

Answer:

225

Step-by-step explanation:

15X15 equals 225

Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%=[tex]\frac{P*100}{CP}[/tex]

=[tex]\frac{10*100}{280}[/tex]

=[tex]\frac{1000}{280}[/tex]

=3.57

Answer:

-24

Step-by-step explanation:

4(x + 2 - 5x)

Combine like terms

4( -4x+2)

Let x =2

4 ( -4*2 +2)

4 ( -8+2)

4 ( -6)

-24

Answer:

cant see

Step-by-step explanation:

Answer: The midpoint is (5,5.5)

Step-by-step explanation:

Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)

Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)

The final answer is Midpoint = (5,5.5)

Answer:

A.it will increase

Step-by-step explanation:

it will imcrease since every low number after the low number a number that is high

Answer:

(x+6)(x-3)

solve:

[tex]\sf x^2+3x-18[/tex]

the least common multiple of 1 and 18 is 18 : 6 * 3

[tex]\sf x^2+6x-3x-18[/tex]

breakdown

[tex]\sf x(x+6)-3(x+6)[/tex]

build parenthesis

[tex]\sf (x-3)(x+6)[/tex]

Answer:

Step-by-step explanation:

Let the equation of the line representing relation between the euros and dollars is,

E = mD + b

Where 'E' = Number of euros

D = Number of dollars

m = slope of the line

b = y-intercept

Slope of a line which passes through two points (120, 90) and (400, 300) will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]

m = 0.75

Equation of the line passing through (120, 90),

90 = 0.75(120) + b

b = 90 - 90 = 0

Therefore, equation of the line will be,

E = mD

E ∝ D

Here m = Proportionality constant

And the relation between the numbers of Euros and US dollars is a proportional relationship.

Answer:

y=4x-3

Step-by-step explanation:

Answer:

thanks for the answer

Step-by-step explanation:

The amount of money I would repay in the first month is $166.67.

The amount of money I would repay in the second month is $166.67.

The amount of money I would repay in the third month is $166.66.

In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.

1/3 x $500 = $166.67

Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66

To learn more about loans, please check: https://brainly.com/question/25811386

Answer:

Step-by-step explanation:

Subtract 8 from the x value of the point P and subtract 3 from the y value of the point P

P' = (3-8 , -5-3)

    P' (-5 , -8)

Answer:

y=3x is Multiplicative: y is 3 times x

y=x+3 is Additive: y is 3 more than x

Answer:

the first on is multiplicative

the second is additive  

Step-by-step explanation:

y = 3x  

y is the product of 3 multiplied by x

y=3+x

y is the product x plus 3 (or otherwise stated y is 3 more then x)

Answer:

[tex]n-10=a[/tex]

Answer:

Mary is x years old

when we write the expression for her age which represents 12 years from now, it means we have to add 12 years in the age of Mary, and she is x years old now

so the expression will be:

x+12

and the expression which represents her age two years ago from now when she is x years old is:

x-2

if we know the x, we can calculate easily her age for above two expressions.

Step-by-step explanation:

Answer:

Full packs = 8

Left over = 6 pencils

Step-by-step explanation:

102 divided by 12 = 8

with a remainder of 6

8 packet can be made and 6 pencils are left over

The Correct answer Answer:

B. both a relation and a function

Step-by-step explanation:

Answer:

2(6+1)

Step-by-step explanation:

its so easy because in sec..134 there is a • like this and look

2(6+1)

2 of 7

2×7

14,,,

and

24-5×2=14,,, is the answer,,,

Answer:

-13.7

Step-by-step explanation:

-13.72842

-13.7284

-13.728

-13.73

-13.7

I rounded this way

Answer:

Answer:

54

Step-by-step explanation:

[tex]\dfrac{(14+42-6)}{10}+7^2[/tex]

Parentheses (14 + 42 - 6) = 50:

⇒ 50/10 + 7²

Exponents 7² = 49:

⇒ 50/10 + 49

Multiplication/division  50/10 = 5:

⇒ 5 + 49

Addition/subtraction:  5 + 49 = 54

⇒ 54

Answer:

  -161.57°, or 198.43°

Step-by-step explanation:

The third-quadrant angle can be found using the usual rectangular-to-polar conversion. The angle is given by ...

  θ = ATAN2(x, y) = ATAN2(-12, -4) ≈ -161.57°

__

More conventionally, the reference angle is ...

  tan(θ) = y/x = -4/-12 = 1/3

  θ = arctan(1/3) ≈ 18.43° . . . . angle from -x axis (CCW)

Since this is a 3rd-quadrant angle, the positive angle value will be 180° plus the reference angle:

  180° +18.43° = 198.43°

The angle most directly measured from the +x axis is ...

  360° -198.43° = -161.57°

Answer:

1. v = 19

2. n = 26

3. v = 38

4. d = 6

Step-by-step explanation:

5v = 95

÷5    ÷5

v = 19

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

n - 19 = 7

   +19   +19

n = 26

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

v

/    =  19

2

v

/        = 19(2)

2(2)

v = 38

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

4d = 24

÷4    ÷4

d = 6

I hope this helps!

Answer:

Yes

Step-by-step explanation:

Factoring is the process of breaking a polynomial into its factors.

Standard Form

It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.

Factoring

To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.

There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.

This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.

Answer:

hamburger = h = $0.22

Fries = f = $0.96

Cola = c = $0.82

Step-by-step explanation:

Let

last year's price for each item be hamburger = h

Fries = f

Cola = c

h + f + c = 2.00 (1)

The price of a hamburger has increased by 10%

New price of hamburger = 1.10h

The price of fries has increased by 30%

New price of fries = 1.30f

The price of cola has increased by 40%

New price of cola = 1.40c

The same meal now costs $2.58.

1.1h + 1.3f + 1.4c = 2.58 (2)

If the price of a cola is now 9 cents more than that of a hamburger

1.4c = 1.1h + .09

1.4c - 1.1h = .09

Multiply (1) by 1.4

h + f + c = 2.00 × 1.4

1.4h + 1.4f + 1.4c = 2.8 (3)

1.1h + 1.3f + 1.4c = 2.58 (2)

subtract the new equation:

0.3h + 0.1f = 0.22

Multiply by 10

3h + f = 2.2

Recall,

1.4c - 1.1h = .09

1.4h + 1.4f + 1.4c = 2.8 (3)

- 1.1h + 0.0f + 1.4c = .09

Subtract

2.5h + 1.4f = 2.71

multiply by 10

25h + 14f = 27.1

Recall

3h + f = 2.2

Multiply by 14

42h + 14f = 30.8

25h + 14f = 27.1

Subtract to eliminate f

17h = 3.7

Divide both sides by 17

h = 3.7 / 17

= 0.22

h = 0.22

Substitute h into

1.4c - 1.1h = .09

1.4c - 1.1(0.22) = .09

1.4c - 0.242 = .09

1.4c = .09 + 0.242

1.4c = 1.142

Divide both sides by 1.4

c = 1.142 / 1.4

= 0.82

c = 0.82

Substitute values of c and h into

h + f + c = 2.00

0.22 + f + 0.82 = 2.00

1.04 + f = 2.00

f = 2.00 - 1.04

f = 0.96

Therefore, the price of each item last year was

hamburger = h = $0.22

Fries = f = $0.96

Cola = c = $0.82

Answer:

2 to 10 i think

Step-by-step explanation:

Answer:

can u help me

Step-by-step explanation:

Answer:

first one is: 8

second one is: 2

Step-by-step explanation:

correct on edg 2021!!!