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The linear equation f(x) is  4x - 10 and the quadratic equation f(k) is -5/2k^2 + 4k - 1 for the two given points.

The linear equation can be found using the slope-intercept form (y = mx + b), where m is the slope of the line and b is the y-intercept. To find the slope (m) we can use the two points given:

m = (y2 - y1) / (x2 - x1) = (18 - 2) / (7 - 3) = 16/4 = 4

The y-intercept (b) can be found using one of the points and the slope:

b = y - mx = 2 - 4(3) = -10

So the linear equation in standard form is:

f(x) = 4x - 10

For the quadratic equation, we know that it's in the form of y = ax^2 + bx + c. We have 2 points, so we have 2 equations with 2 unknowns. We can use this information to solve for a, b and c.

Let's (3,2) point 1 and (7,18) point 2.

f(k) = ak^2 + bk + c....(1)

point 1: f(3) = 2 = 9a + 3b + c...(2)

point 2: f(7) = 18 = 49a + 7b + c...(3)

Now we have 2 equations and 3 unknowns.

using theirs first equation and substitute it in the second and third equation

18 = 49a + 7b + c

2 = 9a + 3b + c

c = 2 - 9a - 3b

18 = 49a + 7b + (2 - 9a - 3b)

18 = 49a + 7b + 2 - 9a - 3b

18 = 40a + 4b + 2

16 = 40a + 4b

now this equation is used to solve for a and b

b = (16 - 40a) / 4

so a,b and c are

a = -5/2

b = 4

c = -1

so the quadratic equation in standard form is:

f(k) = -5/2k^2 + 4k - 1

4x - 10 is the linear equation f(x)  and -5/2k^2 + 4k - 1 is the quadratic equation f(k) for the two given points.

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Answer:

1a) 77 + 84v

1b) 70d + 10m

2a) 96 + 40r

2b) 6p + 8

3a) 27a + 24

3b) 11a + 90

Hope that helps! :)

_Aphrodite

Step-by-step explanation:

Answer:

Mathaway/algerba is a good way to figure out these problems

Step-by-step explanation:

i use it all the time haha

Answer:

6 seconds left, 10 seconds total.

Step-by-step explanation:

40 / 4 = 10

Increases by 10% each second

60% left, so 60 / 10 = 6

Answer:

6 seconds left, 10 seconds total.

Step-by-step explanation:

40 / 4 = 10

Increases by 10% each second

60% left, so 60 / 10 = 6

Step-by-step explanation:

Answer:

607.32

Step-by-step explanation:

two semi circles make a whole circle so use the normal circumfrence formula 2 pi r

circumfrence = 433.32

the perimeter of the rectangle is 87 + 87, because they are on the outside of the field.

The answer is 607.32

Answer:

  23.5 cm

Step-by-step explanation:

You want the height of the model of a 94 m tall roller coaster when the model scale is 1 cm = 4 m.

The model dimensions are assumed to be proportional to the real-world dimensions, so the model height h will satisfy the proportion ...

  h/(94 m) = (1 cm)/(4 m)

Multiplying by 94 m gives ...

  h = (1 cm)(94/4) = 23.5 cm

The height of the model is 23.5 cm.

Answer:

1. Y=-2x+3

2. Y=3x+2/3

I'm sorry I can't get them all but I know these are right

Answer:

13.2

Step-by-step explanation:

40 decreased by 33% = 26.8

Absolute change (actual difference):

26.8 - 40 = - 13.2

Answer: The relationship between the x-coordinates of the first and second bus stop is that the x-coordinate of the second bus stop is 4 units greater than the x-coordinate of the first bus stop.

The relationship between the y-coordinates of the first and second bus stop is that the y-coordinate of the second bus stop is 2 units greater than the y-coordinate of the first bus stop.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Statement B, C, E are correct

Solution:

We have to find the true statements

We know that,

To find the diameter of a circle, multiply its radius by two

Thus statement E is correct

Also,

To find the diameter of a circle, divide its circumference by π

Thus statement B is correct

circumference of a circle is obtained by multiplying diameter with pi

The circumference of a circle is greater than its diameter

Thus, Statement C is correct

C.

The circumstances is a circle that is greater than the diameter

Answer:

[tex]R=883.74N[/tex]

Step-by-step explanation:

From the question we are told that:

Force 1 [tex]F_1=226N[/tex]

Force 2 [tex]F_2=331N[/tex]

Force 3 [tex]F_3=377N[/tex]

Direction 1  [tex]\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)[/tex]

Direction 2 [tex]\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)[/tex]

Direction 3 [tex]\theta_3=77 degrees[/tex]

Generally Resolving forces to X axis is mathematically given by

 [tex]\sum f_x=337cos77+331cos57+226sin35[/tex]

 [tex]\sum f_x=351.596N[/tex]

Generally Resolving forces to Y axis is mathematically given by

 [tex]\sum f_y=337sin77+331sin57+226cos35[/tex]

 [tex]\sum f_x=810.788N[/tex]

Generally the equation for Resultant force R is mathematically given by

 [tex]R=\sqrt{\sum f_x^2+\sum f_x^2}[/tex]

 [tex]R=\sqrt{351.596^2+810.788^2}[/tex]

 [tex]R=883.74N[/tex]

Answer:

0.44

Step-by-step explanation:

Sin∠ D= EC/DC

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

hope it helps...

have a great day!!

Answer:

sin D = 0.44

Step-by-step explanation:

sin D = opp/hyp

The side opp D must be CE  since the side opp D cannot contain D

opp = CE = 39

The hypotenuse must be DC since it's the longest

hyp = DC = 89

sin D = 39/89

sin D = 0.4382022472

To the nearest hundredth

sin D = 0.44

The result of (x-3)(4x+2) using FOIL method is 4x^2 -6x +2x -6.

The FOIL method is a technique used to multiply two binomials. It stands for "First, Outer, Inner, Last" and follows these steps:

First: Multiply the first term of the first binomial by the first term of the second binomial

Outer: Multiply the first term of the first binomial by the second term of the second binomial

Inner: Multiply the second term of the first binomial by the first term of the second binomial

Last: Multiply the second term of the first binomial by the second term of the second binomial

Applying FOIL method to (x-3)(4x+2) we get:

First: 4x * x = 4x^2

Outer: 4x * -3 = -12x

Inner: -3 * 4x = -12x

Last: -3 * 2 = -6

So the result of (x-3)(4x+2) is 4x^2 -12x -12x -6 = 4x^2 -24x -6.

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The monthly payment for this difference would be $1,361.21. An Adjustable Rate Mortgage (ARM) is a type of mortgage in which the interest rate on the loan changes over time.

An Adjustable Rate Mortgage (ARM) payment is based on various factors such as the loan amount, interest rate, and the terms of the ARM. The interest rate is usually tied to a specific financial index, such as the U.S.

Here is the calculation format for the difference in payments between year 2 and year 3 for Bart and April's mortgage:

Total amount to be paid for the mortgage: $315,000

Rate of interest: 5.85% (Depreciating rate)

Time = 2 years:

a. Remaining amount to be paid after 2 years:

Principal × (1 - Rate/100)^time

= $315,000 × (1 - 5.85/100)²

= $315,000 × (1 - 0.0585)²

= $279,223.01

Time = 3 years:

a. Remaining amount to be paid after 3 years:

Principal × (1 - Rate/100)^time

= $315,000 × (1 - 5.85/100)³

= $315,000 × (1 - 0.0585)³

= $262,888.46

Difference in payments from year 2 to year 3:

= Remaining amount after 2 years - Remaining amount after 3 years

= $279,223.01 - $262,888.46

= $16,334.55

The monthly payment for this difference would be $1,361.21, which is calculated by dividing the difference in payments by 12:

$16334.546/12 = $1361.21

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The measure of the angle ∠SUT will be 30°. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

The measure of the angle ∠SUT is calculated as,

∠SUT + ∠UTS = ∠JST

∠SUT + 80° = 110°

∠SUT = 110° - 80°

∠SUT = 30°

The measure of the angle ∠SUT will be 30°. Then the correct option is C.

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Answer:

No, the point isn't in the shaded area

Step-by-step explanation:

Answer:

Don't have enough infromation to answer that.

Step-by-step explanation:

Answer:

Step-by-step explanation:

F TV day job cut hv h the BBC gg was the only time I had a chance of playing it for the last night of my life lol I love you and you are ok with your such good friends I know I love it but it’s ok I’m not sure how to get it away I don’t think you can get me to type in the car.

Answer:

hope this helps you pls give me brainless.

Step-by-step explanation:

(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!

Step-by-step explanation:

Given the system of equation, \left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.{

2x−3y=−19

x+6y=28

, solve by elimination.

\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.{

2x−3y=−19

−2(x+6y=28)

, multiply the top equation by -2.

We get, \left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.{

2x−3y=−19

−2x−12y=−56

+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right. , add the equations together.

We get, -15y=75−15y=75 , we just eliminated the variable, x, we can now solve this equation for y.

-15y=-75 = > y=\frac{-75}{-15}−15y=−75=>y=

−15

−75

, y=\frac{75}{15} = > y=5y=

15

75

=>y=5

We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...

x+6y=28 = > x+6(5)=28 = > x+30=28x+6y=28=>x+6(5)=28=>x+30=28 , subtract the value, 30, from both sides. We get, x=-2x=−2 .

We found the value x, x=-2.

Thus the solution to the given system of equations is (-2,5).

Answer:

Comparing given eqn of line i.e.y=4x + 1 with

y=mx+c,we get,

m=4

We know that parallel lines have same value for m and the line parallel to y=4x+1 passes through the point (-2,-5) i.e (x1,y1)

Now,using point slope formula,we get

y-(-5)=4{x-(-2)}

or,y+5=4(X+2)

or,y+5=4x+8

or,y=4x+8-5

:.y=4x+3 is the req eqn for line parallel to y=4x+1

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Answer:

A)  The function has a maximum value of 1

Step-by-step explanation:

Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞

Answer:

y=-1/2x+16

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-10)/(16-12)

m=-2/4

m=-1/2

y-y1=m(x-x1)

y-10=-1/2(x-12)

y=-1/2x+12/2+10

y=-1/2x+6+10

y=-1/2x+16

Answer:

-1

Step-by-step explanation:

A)There are 88 trader sell only one fruit.

B) There are 46  trader sell only two fruit.

Since there are three sets, use the formula

n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)

A represents apple traders = 40

O represents orange traders = 46

M represents mangoes traders = 50

A∪O∪M = total traders = 100

A∩O = 14

O∩M = ?

A∩M = 15

A∩O∩M = 10

B) Substitute values into the formula

100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10

100 = 146 - 29 - O∩M

100 = 117 - O∩M

Make O∩M subject of formula

O∩M = 100 -117

O∩M = 17 traders

Now,

n(A∩O) -n(O∩M) - n(A∩M)

= 14 + 17 + 15

= 46

Therefore, the number of traders that sells two fruits  are 46.

A) oranges n(O)

= 46-(4+10+ x)

= 32

Again,

mangoes n(M).

= 50-(5+10+x)

= 35

Now,

apple n(A)

= 40-(4+10+5)

= 21

Now, adding all of them we get:

n(o) + n(M) + n(A) = 32 + 35 + 21

                            = 88

Therefore, 88 trader sells only two fruit

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Q 1 ans supplementary

Q2 ans congurent

Q3 ans neithee

Answer:

[tex](2,-6)[/tex]

Step-by-step explanation:

[tex]x^2-4x+y+10=0[/tex]

[tex]y=x^2+4x-10[/tex]

[tex]y=-(x^2-4x)-10[/tex]

[tex]=-(x^2-4x+4)-10+4[/tex]

[tex]=-(x-2)^2-6[/tex]

[tex]y=-(x-2)^2+(-6)[/tex]

[tex]h=2 ~and~ k=-6[/tex]

So, vertex → (2,-6)

[tex]------------[/tex]

hope it helps..

have a great day!!