If f(x) = 3x^2 – x + 3, then what is the remainder when f(x) is divided by
x + 7?

Answer:

x ∈ ( - ∞ , 20 )

Step-by-step explanation:

Given :

x / 4 + 6 < 11

Adding - 11 both we get:

= > x / 4 + 6 - 11 < 11 - 11

= > x / 4 - 5 < 0

Multiply by 4 both we get:

= > x - 20 < 0

Adding 20 both side we get:

= > x - 20 + 20 < 20

= > x < 20

Solution set x ∈ ( - ∞ , 20 )

Hence we get required answer!

9514 1404 393

Answer:

  x > -20

Step-by-step explanation:

This is a "2-step" inequality with a negative coefficient.

  x/-4 +6 < 11 . . . . . given

  x/-4 < 5 . . . . . . . . subtract 6 from both sides

  x > -20 . . . . . . . . .multiply both sides by -4

Because the multiplier is negative, the sense of the comparison must be reversed.

_____

Check

  x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False

  x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True

Step-by-step explanation:

[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

[tex]x^{2} - 25[/tex]

Step-by-step explanation:

Area is side x side, so naturally it would be: (x+5)(x - 5)... Though to simplify, those parenthesis can be FOILed. (Reminder: "FOIL" means First - Outer - Inner - Last)

[tex]x^{2} - 5x + 5 x - 25[/tex]

The 5x cancels out because 5x - 5x = 0

So that leaves us with:

[tex]x^{2} - 25[/tex]

=========================================================

Explanation:

Let's say we replace the "x+5" with some other letter. Let's use L for length.

We'll keep the width x-5 the same.

area = length*width

area = L*(x-5)

area = L*x + L*(-5)

area = xL - 5L

At this point, we would then plug in L = x+5 and distribute like so:

area = x( L ) - 5( L )

area = x( x+5 ) - 5( x+5 )

area = x^2 + 5x - 5x - 25

area = x^2 - 25

Side note: (x+5)(x-5) = x^2 - 25 is an application of the difference of squares rule.

Answer:

D) f(x) = 6x

Step-by-step explanation:

Step-by-step explanation:

the area of the fig. =

(8×6)+(3.14×3²)

= 48+ 28.3

= 76.3 in²

Answer:

what the dude said

Step-by-step explanation:

Btw dude, your a life saver

Answer: 12

Step-by-step explanation: c = √a2 + b2

= √(6)2 + (10)2

= √36 + 100

= √136

= 2√34

= 11.661903789691

Round up

12

The length of the slide has a height of 6 feet and the base of 10 feet would be equal to the nearest whole number 12 feet.

The ratio of the height of the slide and the distance from the base of the ladder to the front of the slide is 3 : 5.

The height of the slide is 6 feet.

The base of the ladder is 10 feet.

The Pythagoras is the sum of the square of two sides which is equal to the square of the longest side.

From the Pythagoras Theorem,

[tex]\rm a^{2} =b^{2} +c^{2} \\\rm a^{2} =10^{2} +6^{2} \\\rm a^{2} =100+36\\\rm a = \sqrt{136} \\\rm a = 11.6619\\\rm a=12[/tex]

By round off up to nearest whole number. The length of the slide would be 12 feet.

Learn more about the Pythagoras Theorem here:

https://brainly.com/question/343682

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

Step-by-step explanation:

subtract the areas of a circle from the area of a square and divide by 4

A_square = L x W

A_circle = pi x r^2

L, W= 12cm

r= 12/2cm

(A_square - A_circle) / 4

divide by 4 since the remaining portions are symmetrical

Answer:

2243x32

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

1/2 ÷ 1/3

Copy dot flip

1/2 × 3/1

1 × 3 / 2 × 1

3 / 2

3/2

Convert 3/2 into mixed number:

3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)

Answer:

$42.14

Step-by-step explanation:

Given data

Cost of meal= $98

tax= 9%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=9/100*98

=0.09*98

=$8.82

Tip

=20/100*98

=0.2*98

=$19.6

Hence the total amount paid is

=98+8.82+19.6

=126.42

The amount paid by Pryia

=126.42/3

=$42.14

120.

Trust me.  It is correct using a formula.

Answer:

( THIS MAY NOT BE CORRECT FOR EVERYONE'S QUESTION )

1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

% of students in sports club divided by SAT average

number of sports medals won divided by SAT average

2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?

No. The definitions have opposite results.

khanad2021

Answer:

x = 300 minutes

Step-by-step explanation:

20 + .15x = 35 + .10x

.05x = 15

Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

Answer:

Y = 4

Step-by-step explanation:

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Answer:

Mansah obtained 150 mark out of 240 mark in an English test .what was her percentage score

Answer:

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity.

Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.

So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

Answer:

velocity

Step-by-step explanation:

The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

Answer:

$2.25 Per Kilometer

Step-by-step explanation:

Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.

32 Divided by 14 2/9= $2.25 per Kilometer

Answer:

416

Step-by-step explanation:

Answer: A. alternate interior angles

Step-by-step explanation:

Line 2 (l₂) and Line 3 (l₃) will be the focus of this question. Since both angle 3 and angle 5 are inside of the lines, they are interior angles. Since they are on alternate sides of the central line (t₁), they are alternate angles. Since they are both alternate and interior angles, they are alternate interior angles.

Answer:

1. it is given

2. the definition of angle bisector

3. the reflexive property

4. SAS

5. corresponding parts of congruent triangles are congruent

Answer:

2,200

Step-by-step explanation:

Number of hours amusement park opens = 11 hours

Number of people who ride the swing in one hour = approximately 200

what is the maximum amount of people that can ride the swing in one day?

Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour

= 11 × 200

= 2,200 approximately

Number of people that can ride the swing in one day = 2,200

d I think d

Step-by-step explanation:

yayasjsjamaaak

Let's solve your equation step-by-step.

2x2−5x=7

Step 1: Subtract 7 from both sides.

2x2−5x−7=7−7

2x2−5x−7=0

2x2+−5x+−7=0

Step 2: Use quadratic formula with a=2, b=-5, c=-7.

x=−(−5)±√(−5)2−4(2)(−7)/2(2)

x=5±√81/4

Answer:

x= 7/ 2

or x=−1

the same thing

Answer:

16 sq units

Step-by-step explanation:

the area of the polygon =

(4×3)+(½×4×2)

= 12+4

= 16 sq units