Factor the perfect-square trinomial in y = (x2 + 2x + 1) − 1− 1.
y = (x +
2
)2 − 1 −1

BODMAS

Step-by-step explanation:

brackets,of,dividing, multiplication, subtraction

Answer:

Answer:

3) -82 4)-70 5) -15 6)-14 7)5 8)15 9)16 10)16 11)64 12)21 13)1500 in the middle 14)450

Step-by-step explanation:

Answer:

20 yd^2.

Step-by-step explanation:

Area of base = 2^2 = 4 yd^2.

It has  4 side faces so:

Area of each triangular side = 1/2 * 2 * 4 = 4 yd^2

Total surface area = 4 + 4(4).

= 20 yd^2.

Answer:

Part A

1) Line

2) Angle

3) Point

4) Line Segment

5) Ray

6) Plane

Part B

1) Line Segment

2) Draw number 3 in part a times 2 with different letters

Answer:

I thinks it's true but I'm not 100 %

Answer:

m∠CBD = m∠CDB ⇒ proved

Step-by-step explanation:

Let us solve the question

∵ AB ⊥ BD ⇒ given

→ That means m∠ABD = 90°

∴ m∠ABD = 90° ⇒ proved

∵ ED ⊥ BD ⇒ given

→ That means m∠EDB = 90°

∴ m∠EDB = 90° ⇒ proved

∵ ∠ABD and ∠EDB have the same measure 90°

∴ m∠ABD = m∠EDB ⇒ proved

∵ m∠ABD = m∠ABC + m∠CBD

∵ m∠EDB = m∠EDC + m∠CDB

→ Equate the two right sides

∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB

∵ m∠ABC = m∠EDC ⇒ given

→ That means 1 angle on the left side = 1 angle on the right side, then

   the other two angles must be equal in measures

∴ m∠CBD = m∠CDB ⇒ proved

Answer:

The third one would be the option.

Step-by-step explanation:

If the tree is already at 18 inches on the 2nd year, then it would be at 9 inches on the first year, and at 27 on the third year. And so on.

Graph [3] represents the growth of the tree in inches per year.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is a tree in Dante's neighborhood grew 18 inches in the first 2 years after it was planted. The tree continues to grow at this same rate.

Since the tree grew 18 inches in the first 2 years and continues at the same rate, then it will grew by (18/2) or 9 inches per year. The equation that will represent this relation between growth [y] and time [x] is given by -

y = 9x

Graph number [3] represents the relation.

Therefore, graph [3] represents the growth of the tree in inches per year

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Step-by-step explanation:

please mark me as brainlist please

Answer:

90 : 54 : 36

Step-by-step explanation:

Add the ratios:  5 + 3 + 2 = 10

Divide 180 kg by 10:  180 ÷ 10 = 18

Multiply each number of the ratio by 18:

5 × 18 : 3 × 18 : 2 × 18

⇒ 90 : 54 : 36

Answer:

C

Step-by-step explanation:

candy = c. and Isabelle has five fewer meaning to subtract from the amount destiny has (c)

The value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

The inverse function of a function is defined if f is a function that undoes the operation  [tex]f^{-1}[/tex]

The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]f^{-1}[/tex] .

It is given that the function [tex]\rm F(x)=Log_{0.5}x[/tex] is and its inverse is

[tex]f^{-1}(x)=0.5^x[/tex] .

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(-1)=0.5^{-1}[/tex]

[tex]f^{-1}(-1)=2[/tex]

Substitute the value of x  is 0 in the given inverse function.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(0)=0.5^0[/tex]

[tex]f^{-1}(0)=1[/tex]

Substitute the value of x  is 2 in the given inverse function.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(2)=0.5^2[/tex]

[tex]f^{-1}(2)=0.25[/tex]

Thus the value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

To know more about the Inverse function follow

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Answer:

a = 2

b = 1

c = 0.25

Which graph shows the logarithmic function

f(x) = log0.5x ?

B.

Step-by-step explanation:

did it on ED :)

Answer:

An right angle is an angle which is 90 degrees and obtuse angle which is greater than 90 degrees. There’s also an acute angle which is shorter than 90 degrees.

Step-by-step explanation:

What is a right angle and obtuse angle?

Answer: A right angle is defined as a 90-degree angle.

Step-by-step explanation:

A right angle in trigonometry is an angle of approximately 90 degrees or /2 radians, which corresponds to a quarter turn. Right angles are formed when the endpoint of a ray is on a line and the adjacent angles are equal.

Answer: An angle that is greater than 90 degrees but less than 180 degrees is called an obtuse angle.

Step-by-step explanation:

The smaller angle is the obtuse angle. It is greater than 90 degrees but less than 180 degrees.

Answer: 6 trombones

Step-by-step explanation:

We can set up a proportion.

Let x be the number of trombones there are.

[tex]\frac{4 trombones}{6violas} = \frac{x trombones}{9 violas}[/tex]

We can cross multiply:

4*9 = 6x

6x = 36

Divide both sides by 6:

x = 6

Answer: $18.17

Step 1: Subtract 1 dollar.

$20 - $1 = $19

Step 2: Subtract 83 cents.

$19.00 - $0.83 = $18.17

Answer = $18.17

Answer:

  15.07 hours

Step-by-step explanation:

The given relationship lets us write an equation in that uses rates in terms of tasks per hour. Let 'a' represent the number of hours it takes the assistant to grade exams alone. Then (a-2) is the number of hours it takes the experienced teacher. Working together, their total rate is ...

  1/a + 1/(a-2) = 1/7 . . . . . . . tasks per hour

  7(a -2) +7(a) = a(a -2) . . . . . multiply by 7a(a -2)

  14a -14 = a^2 -2a . . . . . . . eliminate parentheses

  a^2 -16a = -14 . . . . . . . . . subtract 14a

  a^2 -16a +65 = 50 . . . . add 64 to complete the square

  (a -8)^2 = 50 . . . . . . . write as a square

  a -8 = ±5√2 . . . . . . take the square root

  a = 8 +5√2 ≈ 15.072

It would take the teaching assistant about 15.07 hours to grade the exams alone.

_____

Additional comment

The quadratic also gives an extraneous solution of about 0.93 hours. This results in a negative task time for the experienced teacher. That solution makes no sense in the given scenario, so we ignored it.

Answer:

111

Step-by-step explanation:

you need to subtract the amount of land taken up by the water and food sources and divide the rest by 3.

Answer:

b

Step-by-step explanation:

every cantaloup costs $3 so they would pay x × $3

but they got a $2 coupon so you have to deduct that.

Answer:

36≥ -6x≥18

6≥-x≥3

so x is

-3,-4,-5&-6

Hope This Helps!!!

Answer:

9

Step-by-step explanation:

Jumping = 36/4 = 9

Lifting weights = 36/2 = 18

Running = 36-(9+18) = 9

Answer:

9 people

Step-by-step explanation:

First, we need to find out what fraction of the class is running. If 1/4 of the class is jumping, and 1/2 of the class are lifting weights, and the remaining people are running, this can be written like this. 4/4 - 1/4 - 2/4 = 1/4

1/4 of the class is running. Now we need to find out how many students is 1/4 of the class. To find this, we need to divide 36 by 4, which is 9. This means 9 people are running in gym.

I hope this helps :)

Brianna's car

Step-by-step explanation:

Looking at the first equation the car decreases by 15% each year.

So our depreciation rate is 15%

The second equation represents an exponential depreciation with a depreciation rate given by;

1-0.9=0.1×100=10%

So our depreciation rate is 10%

Of course Brianna's car is decreasing in value quicker, since the car loses more value as the depreciation rate is higher.

Answer:

1.3*10^-3

Step-by-step explanation:

When using scientific notation, if you are moving to the left it is a positive exponent. If you are moving to the right it is a negative exponent. since we moved the decimal point to the right, the exponent will be negative.

Answer:

1.3x10^-3

Step-by-step explanation:

if you make the number bigger then you add a negative sign to your answer and since we moved the decimal 3 spaces to left to make it bigger, it is 10^-3

Answer: 70 people went.

Step-by-step explanation:

12p + $50 = $890

890-50= 840

840/12= 70

Answer:

D

Step-by-step explanation:

If there are 500 students and only 350 are going then just divide 350 by 500. (350 / 500 = 0.7

Answer:

I believe the answer would be 122 degrees due to them being a consecutive angle on the same transverse!

Answer:

68

Step-by-step explanation:

Knowing that;

∠EHD and ∠CHF are vertical angles

Since ∠EHD = 68 Thus, ∠CHF = 68

Look at picture below for more information;

~Learn with Lenvy~

Answer:

A≈11039.41

Step-by-step explanation:

Plug in values

A=8300(1.0055)^{52}

A=8300(1.0055)

52

Simplify

A=11039.4131948

A=11039.4131948

Round)

A≈11039.41

After a 13-year span, the money in the account would be  $11.038.4.

As mentioned in the question,
Aubree invested $8,300 in an account paying an interest rate of 2.2% compounded quarterly.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
principal(P) = 8300
rate(r) = 2.2% = 0.022
Time(a) = 13 years,
n = 4
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 8300[ 1 + 0.022/4]⁴ˣ¹³
Amount = $11.038.4

Thus, After a 13-year span, the money in the account would be  $11.038.4.

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Divide the length of the flag by its portion of the ratio, then multiply that by the ratio portion for the width:

28/7 = 4

4 x 4 = 16

The height is 16 feet

Answer:

16 feet

Step-by-step explanation:

If x:y=a:b, then xb=ya

4*7=x:28

4*28=7x

x=16

Answer:

The total cost is $4.45

Step-by-step explanation:

I just added them

Step-by-step explanation:

let a= cost of sandwich=2.95dollars

b=cost of apple= 0.45dollars

c= cost of juice= 1.05 dollars

then t= total cost is calulated as:

t=a+b+c

t=2.95+0.45+1.05

t=4.45