coordinates of point S????????????????????????????

Given:

The function is

[tex]f(x)=2x^3+ax^2-37x-60[/tex]

The binomial [tex]x-4[/tex] is a factor of f(x).

To find:

The value of [tex]a[/tex].

Solution:

If [tex]x-c[/tex] is a factor of f(x), then [tex]f(c)=0[/tex].

It is given that, [tex]x-4[/tex] is a factor of f(x), then [tex]f(4)=0[/tex].

We have,

[tex]f(x)=2x^3+ax^2-37x-60[/tex]

Substituting x=4, we get

[tex]f(4)=2(4)^3+a(4)^2-37(4)-60[/tex]

[tex]f(4)=2(64)+a(16)-148-60[/tex]

[tex]f(4)=128+16a-208[/tex]

[tex]f(4)=16a-80[/tex]

Now,

[tex]f(4)=0[/tex]

[tex]16a-80=0[/tex]

[tex]16a=80[/tex]

[tex]a=\dfrac{80}{16}[/tex]

[tex]a=5[/tex]

Therefore, the value of a is 5.

Answer:

75 degrees

Step-by-step explanation:

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

180=65+40+x

180=105+x

Subtract both sides by 105

180-105=105+x-105

75=x

Therefore, angle C has a measure of 75 degrees.

I hope this helps!

Answer and Step-by-step explanation:

The range would be [-5, 0]

This is because the points are included, and this is how far the graph's y-values go.

The range is based of the y-values of the graph, in which it looks for the greatest y value of the graph and the smallest y value of the graph.

#teamtrees #PAW (Plant And Water)

Given:

In triangle DEF, [tex]DE = EF[/tex] and [tex]m\angle 98^\circ[/tex].

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

[tex]DE = EF[/tex]           (Given)

It means triangle DEF is an isosceles triangle.

[tex]m\angle EDF=m\angle EFD[/tex]           (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

[tex]m\angle DE F+m\angle EFD+m\angle EDF=180^\circ[/tex]

[tex]98^\circ +m\angle EFD+m\angle EFD=180^\circ[/tex]

[tex]2m\angle EFD=180^\circ-98^\circ[/tex]

[tex]2m\angle EFD=82^\circ[/tex]

Divide both sides by 2.

[tex]m\angle EFD=\dfrac{82^\circ}{2}[/tex]

[tex]m\angle EFD=41^\circ[/tex]

Therefore, the measure of angle EFD is 41 degrees.

Answer: Total amount earned by Laney in 4hour=$138

Total amount earned by Maka in 4hours=$134

Difference =$4

Step-by-step explanation:

Since

Maka charges can be modeled by the equation F=30h+14,

where h =number of hours that Maka tutors

F = the total amount earned. Following same model

With 14 being the charge in dollar for travel expenses.

Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as

F= 32h +10

Such that total amount earned by

Maka in 4hours gives

F=30h+14

F=30x4 +14

F=120+14=$134

In the same vein the total amount earned by Laney in 4hours gives

F=32h+10

F= 32x4+10

F=128+10=$138

The difference in money earned by Laney and Maka = $138-$134= $4

Answer:

$554.40

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

1/6 x 660

$41.25

100%->$55.00

1%->$55.00÷100=$0.55

25%->$0.55×25=$13.75

100%-25%=75%

Price of sweatshirt during sale->75%->$55.00-$13.75=$41.25

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent

WX ≅ DC

XY ≅ CY

WY ≅ DY

∠WXY ≅ ∠DCY

∠XWY ≅ ∠CDY

∠WYX ≅ ∠DYC

9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.

Answer:

E and D

Step-by-step explanation:

The area of a rectangle is length x width. In this case, that's (12+s) x 1/3

This can be re-written as 1/3(12+s)

D is 1/3s + 4 which is what happens when you multiply 1/3 by 12 which = 4 and multiply 1/3 by s which = 1/3s. So the answer is 1/3s+4.

Answer:

rotation? I think I'm not sure to or reflection

Answer:

rotation

Step-by-step explanation:

size, shape, and angle measures are preserved but orientation is not

Answer:

254 cm^2

Step-by-step explanation:

18/2 = radius = 9

9^2(Pi) = 254 cm^2

Answer:

254

Step-by-step explanation:

Answer:

20 weeks

Step-by-step explanation:

The computation of The number of weeks it will take to save £360 is shown below:

Now  $250 should be divided into a ratio of 3:2

He keeps = 150

ANd, he gives her = 100

As he saves 12% of his share

i.e.

= 12% of 150

= 18

Now the number of weeks would be

= 360 ÷ 18

= 20 weeks

Answer:

b

Step-by-step explanation:

The sum of 2 and y is 2 + y, then 4 times this sum is

4(2 + y) → b

Answer: c

Step-by-step explanation:

Answer:

=0.017+0.00025

=0.01725

=1.725×10^-2

=C

Answer:

60 miles

Step-by-step explanation:

There are two ways to solve this:

1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.

2. Is the way you should use in the future:

Distance = speed * time

Substitute the speed and times.

Distance = 60 * 1

Thus, you drive 60 miles in one hour

The distance that should be traveled be 60 miles

As we know that

[tex]Speed = \frac{distance}{time}[/tex]

Here

speed be 60 miles per hour

And, the time should be one hour

So, the distance should be

[tex]= 60\ miles\ per hour \times one\ hour[/tex]

= 60 miles

Therefore the distance that should be traveled be 60 miles

Learn more about the distance here:brainly.com/question/23774048

Answer:

b=36

Step-by-step explanation:

by triangle exterior theorem

b+81 = 117

b=36

Answer:

B is 36 degrees, and a is 63 degrees

Step-by-step explanation:

180 - 117 = 63

a = 63 degrees

81 + 63 + b = 180

144 + b = 180

180 - 144 = b

36 degrees = b

Answer:

[tex]f {}^{ - 1}(x) = \frac{x}{3} + 4[/tex]

Step-by-step explanation:

[tex]y = 3x - 12[/tex]

Flip the variables then solve for y

[tex]x = 3y - 12[/tex]

[tex] \frac{x}{3} = y - 4[/tex]

[tex] \frac{x}{3} + 4 = y[/tex]

[tex]f {}^{ - 1} (x) = \frac{x}{3} + 4[/tex]

Complete question :

A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.

(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.

(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?

Answer:

28cm ; 48cm²

Step-by-step explanation:

From the diagram :

Length = 8cm

Width = 6cm

Meters of fencing required :

Perimeter of rectangle :

P = 2(length + Width)

P = 2 (8cm + 6cm)

P= 2(14cm)

P = 28 cm

2.)

Area of rectangle :

Length * width

8cm * 6cm

= 48cm²

Answer:

The answer is below

Step-by-step explanation:

A triangular pyramid is a pyramid with a triangular base. It is a polyhedron (3 dimensional shape) composed of four triangular faces, six straight edges, and four vertex corners.

The surface area of a triangular pyramid with congruent equilateral triangles = 4 * area of one triangle

Area of one triangle = (1/2) * base * height  = (1/2) * 15 in * 13 in = 97.5 in²

Surface area of pyramid = 4 * 97.5 in² = 390 in²

Answer:

4.6 years

Step-by-step explanation:

We are to calculate the time in years.

The formula is given as:

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after t years = 1800

P = Initial Amount invested = 1500

r = Interest rate = 4%

n = Frequency at which the interest was compounded = Annually = 1

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,800.00/1,500.00) / ( 1 × [ln(1 + 0.04/1)] )

t = 4.649 years

Approximately = 4.6 years

Answer: your question was to say that you were in the person that was in park today and i got a hold on the door and I got it back to you in the park and then I saw you on the way to your house to see if I was going back to the school to go get home with me so so we could go do that

Step-by-step explanation:

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

∠J = 107°

∠K =107°

∠L = 73°

∠M = 73°

Step-by-step explanation:

Angle J + angle M = 180°

(10x - 33) + (4x+17) = 180

simplify:

14x -16 = 180

14x = 196

x = 14

∠J = 10(14) - 33 = 107°

∠M = 4(14) + 17 = 73°

Answer:

square pyramids

Step-by-step explanation:

Square pyramids because they have corners and the storage box is shaped like a cube. If he gets things with rounded edges, then there will be empty space between each water tank.

Answer:

The solution set is all real numbers.

Step-by-step explanation:

Solve this equation, we have:

[tex]4x - 4/mleft(x + 1/mright) = 4 \\ (4x - 4x - 4) = 4 \\ ( - 4) = 4 \\ 4 = 4[/tex]

The final sentence is always true, The solution set is all real numbers.

Showing it in the number line in blue, we have: