Evaluate the function. f(x) = -x2 - 6x + 12 Find f(4)​

Answer:

It stopped raining at 3:54

Step-by-step explanation:

Answer:

Step-by-step explanation:

The SI unit of work is Joule.

Further more explanation:

▪️[tex] \blue{ \mathsf{ {What \: is \: Work \: ?}}}[/tex]

⇒Work done by a force acting on a body is defined as the product of force and displacement of the body in the direction of the force.

▪️[tex] \blue{ \bold{ \sf{What \: is \: SI \: unit \: ?}}}[/tex]

⇒The system of units which is agreed by the international convention of scientists held in France in 1960 is called SI unit.

▪️[tex] \blue{ \bold{ \sf{What \: do \: you \: mean \: by \: \: one \: joule \: work \: \: ?}}}[/tex]

⇒One joule is the amount of work done when one Newton force displaces a body through one metre in its own direction.

Hope I helped!

Best regards!

A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.

Answer:   C and  F

Step-by-step explanation:

Remember that for two equations to have the same solutions they need to have the different slopes and different y intercepts or they could have the same y-intercepts but different slopes.

First we will simply each of the equations  

A.  [tex]\frac{1}{3} x + 3 = 26 + \frac{6}{18}x - 23[/tex]   reduces to .[tex]\frac{1}{3}x + 3 = \frac{1}{3} x + 3[/tex]   Since this have the same slopes and same y-intercept they have infinitely many solutions

B. x +3 + 3x = -3 +4x +6  reduces to 4x + 3 = 4x +3  This also have the same slopes and same y-intercepts which means it also have infinitely many solutions.

C. 2(1/5 + 1/4x) -2x = x -1  reduces to  -3/2x +2/5 = x -1   This have different slopes and different y intercepts so they have One solution.

D . 4.3x + 2.5 -2.2x + 2.2 -2.1x = 0   reduces to  4.7 = 0  which means that this equation have no solution because 4.7 does not equal 0.  

E. 2(4x +3) + 2x= 5(2x + 3)    reduces to  10x + 6 = 10x + 15   which means this also have No solution because they have the same slopes but different  y-intercepts.

F.  2/5x + 10 + 3/5x = 2x + 5 reduces to 1x + 10 = 2x + 5   This also have 1 solution because they have different slopes and different y intercepts.

Answer:

The area of the triangle with the given measurements is 200 in²

Step-by-step explanation:

For this problem, we will need to know the formula for finding the area of a triangle.

A = 1/2(bh)

Now, let's plug in these numbers so we can find the area.

A = 1/2(bh)

A = 1/2(16*25)

A = 1/2(400)

A = 200 in.²

Answer:

$6.50

Step-by-step explanation:

Create a system of equations, where s represents the price of a stuffed animal and t represents the price of a toy train:

4s + 7t = 75

6s + 5t = 74

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12s + 21t = 225

-12s - 10t = -148

11t = 77

t = 7

Plug 7 in as t to find s:

4s + 7t = 75

4s + 7(7) = 75

4s + 49 = 75

4s = 26

s = 6.5

= $6.50 for a stuffed animal

Answer:

x = 12; m<ABC = 76

Step-by-step explanation:

The two angles whose measures are given form a linear pair. Therefore, they are supplementary angles, and their measures add up to 180 degrees.

8x - 20 + 116 - x = 180

7x + 96 = 180

7x = 84

x = 12

The angle with measure 8x - 20 and angle ABC are vertical angles. That means that their measures are equal.

m<ABC = 8x - 20 = 8(12) - 20 = 96 - 20 = 76

Answer: x = 12; m<ABC = 76

The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).

The line y=x looks like an even, the diagonal line going through (0, 0) on a graph.

If you have (-7,3), you are in the first quadrant (in the upper left square of the graph).

Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns to the medium from which it originated.

If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive).

So if we do that with (-7, 3), it becomes (7, -3).

The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).

To learn more about the reflection visit:

https://brainly.com/question/1908648

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Answer:

[tex]\boxed{y=\frac{c}{b}-\frac{ax}{b}}[/tex]

Step-by-step explanation:

[tex]ax+by=c\\\\ax-ax+by=c-ax\\\\by=c-ax\\\\\frac{by=c-ax}{b}\\\\\boxed{y=\frac{c}{b}-\frac{ax}{b}}[/tex]

Hope this helps.

Answer:

£500,000.00

Step-by-step explanation:

Principal = x

Saving rate  = 2% PA simple

Time = 5 years

Final amount = £550,000

Principal amount is £500,000

Answer:

[tex]\huge \boxed{{x=500,000}}[/tex]

Step-by-step explanation:

[tex]A=P(1+rt)[/tex]

[tex]A[/tex] = amount   ⇒  550000

[tex]P[/tex] = principal amount   ⇒  x

[tex]r[/tex] = rate   ⇒  2%

[tex]t[/tex] = time   ⇒  5

[tex]\displaystyle 550000=x(1+\frac{2}{100} (5))[/tex]

Solve for the brackets.

[tex]\displaystyle 550000=\frac{11}{10}x[/tex]

Multiply both sides of the equation by [tex]\frac{10}{11}[/tex].

[tex]500000=x[/tex]

The value of x (principal amount) is 500,000.

Answer: QN = 12

Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.

In paralelogram, diagonals bisect each other, which means QR = RN.

If QR = RN:

QR = 6

Then,

QN = QR + RN

QN = 6 + 6

QN = 12

The diagonal QN of quadrilateral MNPQ is QN = 12.

Answer:

2/3

Step-by-step explanation:

We know that 0.6 is part of the 1/3 family.

1/3 would be equal to 0.333...

2/3 would be equal to 0.666...

3/3 would equal to 1

Alternatively, we know that anything out of 9 or 99 would be a repeating decimal. Simply take 6 and divide it by 9:

6/9 = 0.666

We can then simplify the fraction by dividing both top-bottom by 3:

6/9 = 2/3

Answer:

see explanation

Step-by-step explanation:

1. The angle is RST

2. The sides of the angle are SR and ST

3. The angle can be named as ∠ RST, ∠ TSR, ∠ S

Note in the 3 letter angle name the vertex of the angle is in the middle

4 The square at S indicates the angle is right, that is 90°

Answer:

The first option.

Step-by-step explanation:

Domain is anything less than or equal to 2, but anything greater than or equal to -4

Range is anything greater than or equal to -4, but also less than or equal to 4

Answer:

1,056 gifts

Step-by-step explanation:

If twelve relatives give gifts to one another

This means each of the twelve relatives gets gifts from the other 11 relatives

=12 relatives * 11 gifts

= 132 gifts per year

They have been doing it for 8 years

Total gifts exchanged for 8 years= 132 gifts × 8 years

=1,056 gifts

Therefore, number of gifts exchanged for 8 years among 12 relatives is 1,056 gifts

Answer:

A

Step-by-step explanation:

We can see that:

- Shape B has just been translated down (moving down a couple of squares)

- Shape C has been rotated 90° clockwise

Answer:

$7.50

Step-by-step explanation:

Discount for t-shirt:

30/100 × $25 = 30/4 × 1

= 30/4

= $7.50

Discount for a pair of jeans:

10/100 × $75 = 10/4 × 3

= 30/4

= $7.50

Total discount:

= $7.50 + $7.50

= $15

Answer:

$7.50

Step-by-step explanation:

Discount for t-shirt:

30/100 × $25 = 30/4 × 1

= 30/4

= $7.50

Discount for a pair of jeans:

10/100 × $75 = 10/4 × 3

= 30/4

= $7.50

Total discount:

= $7.50 + $7.50

= $15

Answer:

-21 F

Step-by-step explanation:

it already was -14

then dropped 7

so it becomes

-14 - 7 = -12 f

Answer:

[tex]\Huge \boxed{\mathrm{31}}[/tex]

Step-by-step explanation:

50 percent of 62 is also one half of 62.

62 × [tex]\frac{1}{2}[/tex] = 31

Answer:

50 is 31% of 62.

Step-by-step explanation:

To solve this, we need to set up our problem like this, since percentages are written with %, and add up to 100%.

[tex]\frac{62}{x} =\frac{100}{50}[/tex]

Next, we flip the denominators with the numerators so that the x ends up on the top.

[tex]\frac{x}{62}=\frac{50}{100}[/tex]

Finally, we can see that 50/100 is 1/2, so to solve x/62, we have to divide 62 by 2 to get our answer.

62 ÷ 2 = 31

Our answer is 31%.

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The explanation of angle measures is shown below:-

The shape which is parallelogram WXYZ. m∠Y = 125

A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.

In WXYZ parallelogram is there

m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary

m ∠ Z + 125 = 180

m ∠ Z = 180 - 125

m ∠ Z = 55°

m ∠ W which equals to m∠Y where equal angles are Opposite

m∠W = 125°

m ∠ W + m ∠ X = 180°

which is the angle of Consecutive in a parallelogram called supplementary)

m ∠ X + 125 = 180

m ∠ X = 180 - 125

After solving the above equation we will get

m ∠ X = 55°

Answer:

32°

Step-by-step explanation:

What we have to notice here is that m∠1 and m∠2 are complementary angles. This means that their angles add up to 90°.

Since we know the measure of m∠1, we can easily find the measure of m∠2 since both add up to 90.

m∠1 is 58, so:

[tex]58 + x = 90[/tex]

[tex]x = 90-58\\\\x=32[/tex]

Hope this helped!

Answer:

Component form of the vector will be (-1, 2).

Step-by-step explanation:

When [tex]P(x_1, y_1)[/tex] translates to [tex]P'(x_2,y_2)[/tex] vector V formed after the translation will be,

V = [tex]<(x_2-x_1), (y_2-y_1)>[/tex]

If we draw this vector on a graph,

Vector will start from origin and the terminal point will be at [tex][(x_2-x_1), (y_2-y_1)][/tex]

Therefore, component form of the vector that translates from P(-3, 6) and P'(-4, 8) will be,

V = [tex]<(-4+3),(8-6)>[/tex]

V = [tex]<(-1,2)>[/tex]

Translation involves changing the position of a point

The vector that translates P to P' is [tex]\mathbf{ <-1,2>}[/tex]

The points are given as:

[tex]\mathbf{P = (-3,6)}[/tex]

[tex]\mathbf{P' = (-4,8)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{(x,y) = P' - P}[/tex]

So, we have:

[tex]\mathbf{(x,y) = (-4,8) - (-3,6)}[/tex]

Combine

[tex]\mathbf{(x,y) = (-4+3,8-6)}[/tex]

[tex]\mathbf{(x,y) = (-1,2)}[/tex]

Express as vectors

[tex]\mathbf{<x,y> = <-1,2>}[/tex]

Hence, the vector that translates P to P' is [tex]\mathbf{ <-1,2>}[/tex]

Read more about translations at:

https://brainly.com/question/12463306

Given: The area of a square field is 841 sq.m

Since side of square = √Area

So, side of square field = [tex]\sqrt{841} =29[/tex]

Thus , side of square field = 29 m

Perimeter of square = 4( side) = 4(29) = 116 m

Let x be the breadth of rectangle then 2x be the length

Perimeter of rectangle = 2 (length+breadth) = 2(2x+x)= 2(3x)=6x

As per question, perimeter of rectangle=  Perimeter of square

[tex]\Rightarrow\ 6x=116\\\\\Rightarrow\ x=\dfrac{116}{6}=\dfrac{58}{3}\ m[/tex]

Length : [tex]2x =2\dfrac{58}{3}=\dfrac{116}{3}\ m[/tex]

Area of rectangle =  length x breadth

[tex]=\dfrac{116}{3}\times\dfrac{58}{3}=\dfrac{6728}{9}\\\\=747\dfrac{5}{9}\ m^2[/tex]

Area of rectangle = [tex]747\dfrac{5}{9}\ m^2[/tex]

Answer:

(-18,5)

Step-by-step explanation:

Answer:

a= 1,2,4 b= 1,2,3,6 c=1,2,4 d=1,2,5,10 e=1,2,3,4,6,12 H.C.F of all the pairs= 2

Step-by-step explanation:

Factors of:

a. 8=1,2,4,8

12=1,2,3,4,6,12.

common factor=1,2,4

b. 12=1,2,3,4,6,12

18=1,2,3,6,9,18

common factor=1,2,3,6

c. 16=1,2,4,16

24=1,2,3,4,6,8,12,24

common factor=1,2,4

d. 20=1,2,4,5,10,20

30=1,2,3,5,6,10,15,30

common factor=1,2,5,10

e. 24=1,2,3,4,6,8,12,24

36=1,2,3,4,6,9,12,18,36

common factor=1,2,3,4,6,12

HIGHEST COMMON FACTOR (H.C.F)=

The factor common to the whole pairs

which is 1 and 2

therefore 1 multiplied by 2 which is equal to 2

(and in Mathematics means multiplication)

Answer:

[tex]\huge \boxed{\mathrm{false}}[/tex]

Step-by-step explanation:

25% is 25 out of 100.

[tex]\displaystyle \frac{25}{100} = 0.25[/tex]

[tex]2.5\neq 0.25[/tex]

The statement is false.

Answer:

11 games

Step-by-step explanation:

17+6=23

23/2=11.5

Victoria can play 11 games. You'd usually round up, but in this case you can't play half a game so she'll play 11 games and have one quarter leftover.

Answer:

Victoria can play 11 games and have 1 quarter left over.

Step-by-step explanation:

17 given quarters +6 found quarters = 23 total quarters.

Since 23 is an odd number and we want to divide by 2, we have to go down to the last even number: 22. (This gives us the left over quarter)

22 quarters/2quarters per game = 11 games