O GRAPHS AND FUNCTIONSWriting an equation for a function after a vertical and horizo

Answer:

Identify a, b , and c in the trinomial ax2+bx+c.

Write down all factor pairs of c.

Identify which factor pair from the previous step sum up to b.

Substitute factor pairs into two binomials.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The reciprocal of \(\frac{5}{11}\) is \(\frac{11}{5}\) , then

\(\frac{11}{5}\) ÷ - \(\frac{55}{18}\)

Change ÷ to × and turn the second fraction upside down, that is

\(\frac{11}{5}\) × - \(\frac{18}{55}\) ← cancel 11 and 55 by 11

= \(\frac{1}{5}\) × - \(\frac{18}{5}\)

= - \(\frac{18}{25}\) ← True

Answer:

true

Step-by-step explanation:

Reciprocal of \(\frac{5}{11}=\frac{11}{5}\)

Dividing it by \(\frac{-55}{18}\)

=> \(\frac{11}{5} / \frac{-55}{18}\)

Converting the divide sign into multiplication sign

=> \(-(\frac{11}{5} *\frac{18}{55})\)

=> \(-(\frac{1*18}{5*5} )\)

=> \(-\frac{18}{25}\)

So, the answer is True

Answer:

540°.

Step-by-step explanation:

On a unit circle, cos θ = -1 at 180°.

However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.

To solve for the angle:

180° + 360° = 540°. This is the next angle at which cos θ = -1.

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

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Step-by-step explanation:

there are six Ways of choosing 2 from 4

Answer:

A) 12

B)6

Step-by-step explanation:

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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Answer:

Q1. \((-\frac{3}{2},0)\)

Q2. (-16, 0)

Step-by-step explanation:

The midpoint of a line segment is given by the formula:

\(\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}\)

In the formula, \((x_1,y_1)\) is the first endpoint while \((x_2,y_2)\) is the second endpoint of the line segment.

__________

Q1. Substitute the given endpoints into the formula:

Midpoint

\(=(\frac{-5+2}{2} ,\frac{5-5}{2} )\)

\(=(\frac{-3}{2} ,\frac{0}{2} )\)

\(= \bf{(-\frac{3}{2} ,0)}\)

__________

Q2. Let the other endpoint be (x, y).

Substitute the given midpoint and one endpoint:

(-6, 4)=\((\frac{x+4}{2} ,\frac{y+8}{2} )\)

Comparing the x-coordinate:

\(\frac{x+4}{2} =-6\)

Multiply both sides by 2:

x +4= -12

Subtract 4 from both sides:
x= -12 -4

x= -16

Comparing the y-coordinate:

\(\frac{y+8}{2} =4\)

Multiply both sides by 2:

y +8= 8

Subtract 8 on both sides:

y= 8 -8

y= 0

The coordinates of the other endpoint is thus (-16, 0).

__________

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Step-by-step explanation:

your own work, please ...

my own work is

1.

the midpoint between 2 points (x1, y1) and (x2, y2) is

((x1 + x2)/2, (y1 + y2)/2)

so, our midpoint is

((-5 + 2)/2, (5 + -5)/2) = (-3/2, 0/2) = (-3/2, 0)

2.

we have

((x1 + 4)/2, (y1 + 8)/2) = (-6, 4)

so,

(x1 + 4)/2 = -6

x1 + 4 = -12

x1 = -16

(y1 + 8)/2 = 4

y1 + 8 = 8

y1 = 0

so, the other endpoint is (-16, 0).

Answer:

y = 1/2x + 7

Step-by-step explanation:

y = mx+ b

y = 5

x = -4

5 = 1/2(-4) + b

5 = -2 + b

7 = b

Given the inequality:

Let's select the graph which correctly shows the boundary line of the inequality.

Using the inequality given, let's find random points on which the boundary line passes through.

Rewrite the inequality as an equation:

Find y when x = 0:

Find y when x = 3:

Find y when x = -3:

Therefore, we have the points:

(x, y) ==> (0, 1), (3, 2), (-3, 0)

Since y is less than the expression, the line will be a dashed line.

Now, let's check the graph which has a dashed line that passes these points.

Therefore, the correct graph is:

ANSWER:

Graph C.

The number of buses are 3 they took if each van holds 6 students and each bus holds 20 students.

What are the number of buses?

Let's use V and B to represent the number of vans and buses, respectively.

We know that:

V + B = 5 (since there were 5 vehicles in total)

6V + 20B = 72 (since there were 72 students in total)

We can use the first equation to solve for V in terms of B:

V = 5 - B

Then we can substitute this expression for V into the second equation:

6(5 - B) + 20B = 72

30 - 6B + 20B = 72

14B = 42

B = 3

Therefore, the class took 3 buses.

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Complete question is: A class of 72 students went on a field trip. They took 5 vehicles, some vans and some buses. the number of buses are 3, they took if each van holds 6 students and each bus holds 20 students.

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

Answer:

No

Step-by-step explanation:

No matter the situation, when you multiply a negative by a negativeyou get a positive and a positive by a positive you get a positive. but if its two different like a negative and a positive then its NEGITIVE.

let's say you have 23 and you're multiplying by 2.

It's always increasing so it doesnt ever reach the negitive numbers.

Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

Answer:

83

Step-by-step explanation:

666

Answer:

Bananas

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

V = 4/3 (pie) r(cube)

V = 4/3 (3.14) 3(cube)

V = 4/3 (3.14) (9)

V = 4/3 (28.26)

V = 37.68

V = 38 (Rounded up)

Answer: x \(\leq\) 165

Step-by-step explanation:

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

e points on the graph of f(x) where the tangent line has a slope of -5 are   \((1,-13)\) and   \((3,-15).\)

We are given the function: \(f(x) = x^3-6x^2+4x-12\)

To find the points where the tangent line to f(x) has a slope of -5, we need to find where the derivative of f(x) is equal to -5.

Step 1: Find the derivative of f(x)

\(f'(x) = 3x^2 - 12x + 4\)

Step 2: Set f'(x) equal to -5 and solve for x

\(3x^2 - 12x + 4 = -5\)

\(3x^2 - 12x + 9 = 0\)

\(x^2 - 4x + 3 = 0\)

\((x-3)(x-1) = 0\)

\(x = 1 or x = 3\)

Step 3: Find the corresponding y-values for x=1 and x=3

\(y(1) = f(1) = 1^3 - 6(1)^2 + 4(1) - 12 = -13\)

\(y(3) = f(3) = 3^3 - 6(3)^2 + 4(3) - 12 = -15\)

Therefore, the points on the graph of f(x) where the tangent line has a slope of -5 are (1,-13) and (3,-15).

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Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

C≈12.57 yd

A≈12.57 yd²

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

Savita will have more bags

Step-by-step explanation:

Savita: 250 cherries, 8 cherries per bag

Gail: 350 cherries, 12 cherries per bag

Savita: 250/8 = 31.25 bags

Gail: 350/12 = 29.17 bags

Savita will have more bags since 31.25 > 29.17

Answer:

Savita will have more bags

Step-by-step explanation:

Savita has 250 cherries and 8 cherries per bag

Gail has 350 cherries and 12 cherries per bag

Savita

=250/8 = 31.25 bags

Gail

=350/12 = 29.17 bags

therefore Savita will have more bags since 31.25 is more than Gail with 29.17 bags

Check the picture below.

In the given Quadrilateral, The measure of ∠x=110°.

what are quadrilaterals?

Quadrilaterals are four-sided polygons. They are two-dimensional shapes with four straight sides, four vertices, and four angles which have sum of 360°. Quadrilaterals can have parallel sides, opposite sides that are congruent, opposite angles that are congruent, and diagonals that bisect each other. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

Now,

For given Quadrilateral

three angles given are 128°, 82° and 40° and 4th angle=x°.

To find x

As we know

Sum of all interior angles of a quadrilateral=360°

128°+82° +40° +x°=360°

x=360-250

x=110°

hence,

          the measure of ∠x=110°.

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Answer:

let the

radius = diameter/2= 32/2= 16cm

now

perimeter of semi circle = 1/2×22/7×r

= 1/2×22/7×16

= 25.14cm

hence perimeter of semi circle is 25 .14cm

Answer:

8.

10x-1=14x-37[corresponding side of congruent triangle are equal]

37-1=14x-10x

36=4x

x=36/4

x=9

9.

6x+13=16x-7[corresponding angle of congruent triangle are equal]

13+7=16x-6x

10x=20

x=20/10

x=2

10.

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

PQ=8×15-27=93

11.3x+5=12x-13

13+5=12x-3x

9x=18

x=18/9=2

now

<BDC=12×2-13=11

12.

5x-8=9x-28

28-8=9x-5x

4x=20

x=20/4

x=5

now

<YWX=5x-8+9x-28=5×5-8+9×5-28=34

13..5x-4=2x+5

5x-2x=5+4

3x=9

x=9/3=3

now

ML=5×3-4=11

ML=11

Answer: Using the formula F=9/5C+32, we can convert 59°C to degrees Fahrenheit:

F = 9/5 * 59°C + 32

F = 118.2°F + 32

F ≈ 150.8°F

Therefore, 59°C is approximately equal to 150.8°F.

Step-by-step explanation: