Factor 4x2 + 4x + 1.

Answer:

Step-by-step explanation:

%s can drive a person crazy.

44% increase

Cost = 100% * x + 44%x

Cost = x ( 100 / 100 + 44/100)

Cost = x (1 + 0.44)

Cost = 1.44 x

93% decrease

Cost = 100%x - 93%x

Cost = x * (100/100 - 93/100)

Cost = x * (1 - 0.93

Cost = 0.07 x

Answer:

1.44 and 0.07

Step-by-step explanation:

(a)

A 44% increase of the original amount (100%) is

100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier

(b)

A 93% decrease of the original amount (100%) is

100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier

Answer:

The amount of money​ you'll have at the end of the years is 6460 dollars

Step-by-step explanation:

The total principal sum of money deposited = [tex]3400[/tex] dollars

The annual rate of interest is [tex]4.5[/tex] %

The time period for which the amount is invested [tex]= 20[/tex] years

As we know

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

where A is the amount after 20 years

P is the principal sum of money

r is the rate of interest and

t is time period in years

Substituting the given values in above equation, we get -

[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50

Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Answer:

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Answer:

So basically you have to create a set of coordinates like (3,2) to create a linear function. Make sure to make a linear equation and represent it through a graph or table. Then take its coordinates.

An example is the table I attached. It is a linear function.

y = 4x is the linear equation.

(2,8) is the coordinate.

Hope I helped in time!

:)

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

Answer:

13x=13

Step-by-step explanation:

...............

Answer:

your answer will be (0,25)

Step-by-step explanation:

have a nice day and good luck with your test ^_^

The point that corresponds to the ball's maximum height on the graph is (4, 80).

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Cassie hit a golf ball.

The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.

We can see from the graph that the highest point the ball could reach is 80 units.

Therefore, The point that corresponds to the ball's maximum height is (4, 80).

Learn more about points lying on the graph of a function here:

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9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Answer:

0 is an integer and a whole number

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.

Answer:

c = 3.3 cm

Step-by-step explanation:

A = 180 - (95 + 45) = 40° (sum of triangle)

a = 3.0 cm

C = 45°

c = ?

Applying the Law of Sines, we have:

[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]

Cross multiply

[tex] Sin(40)*c = Sin(45)*3 [/tex]

Divide both sides by sin(40)

[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]

c = 3.3001886 ≈ 3.3 cm (nearest tenth)

Answer:

Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

Answer:

20, 1/4 pound pieces of butter

Step-by-step explanation:

1/4*4= 1 pound

so,

4*5=20

:)

Answer:

[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

Answer:

Step-by-step explanation:

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Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

Learn more about average here;

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Answer:

Step-by-step explanation:

To have two equal sides there must also be two equal angles.

Answer:

a. it has no solution

b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.

Step-by-step explanation:

3x - 9y = -13.............. eqn 1

x - 3y = -7................... eqn 2

from eqn 2

x - 3y = -7, substitute by making 'x' the subject

x = -7 + 3y.................. eqn 3

put eqn 3 into eqn 1

3x - 9y = -13

3( -7 + 3y) - 9y = -13

-21 + 9y - 9y = -13

9y - 9y = -13 + 21

0 = 8, which is not possible.

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

Answer:

Step-by-step explanation:

1.

Multiply the first equation by 3/2:

Subtract the second equation:

Find y:

2.

Double the second equation and subtract the first one:

Find y:

3.

Subtract the second equation from the first one:

Find y:

4.

Multiply the second equation by 4 and subtract the first one:

Find x:

Answer:

1. [tex]x\x=\frac{22}{5}=4.5, y=\frac{27}{5}=5.5[/tex]

2. [tex]x=\frac{16}{5}=3.2,y=\frac{41}{5}=8.3[/tex]

3. x=−7,y=15.

4. [tex]x=\frac{37}{15}=2\frac{7}{15},y=\frac{349}{15}=23\frac{4}{15}[/tex]

Step-by-step explanation:

I hope this helps.

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°