f(x) = -2x^2-4x+11
in the standard form
f(x) = a(x – h)^2+k

The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.

It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.

Since the numbers given are; (5 + 3i) and (2 + 9i).

The difference can be mathematically as follows;

( 5 + 3i ) - ( 2 + 9i )

By the Distributive property; we have;

5 + 3i - 2 - 9i

Collect like terms so that we have;

= 5 - 2 + 3i - 9i

= 3 - 6i

On this note, the difference between the two complex numbers is; 3 - 6i.

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Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

Answer:

10/7

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

You can’t reduce so the final answer is 10/7

Answer:

Not sure but I think the answer is 129

Step-by-step explanation:

first, substitute the value of x in the expression like this

18(3*2+1)+3

after substituting, our work has made easier

18(6+1)+3

18(7)+3 or simply 18*7+3

126+3

129

Answer:

15 cm

Step-by-step explanation:

add 7 then 3 and 5

Answer:

77 cubed in.

Step-by-step explanation:

I think it is 77 cubed inches because the formula is V-bh

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Answer:

32

Step-by-step explanation:

23

A rectangle has two pairs of opposite sides that are equal in length and four right angles.

To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.

In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.

However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.

Hence, a rectangle has 12/2 = 6 diagonals.

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Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

Answer:

x=37

Step-by-step explanation:

As you can see in the image, both angles are congruent to each other. 74 degrees and 2x degrees. You have to divide 74 by 2 to find what x equals.

74/2=37

x=37

Answer:

48

Step-by-step explanation:

7+16+5+20=48

The solution of the given equation (x + 4)(x - 3) = -10 is -2.

Thus, option C is correct.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

Given equation:

Multiply the brackets,

(x + 4)(x - 3) = -10

[tex]x^2-3x+4x-12 = -10[/tex]

x^2 +x -12+10 =0

x^2 +x -2=0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

x= -2, x=1

Thus, option C is correct.

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Answer:

50% of the time (27 times) you will get an even number

Step-by-step explanation:

sorry if it wrong

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

Step 5: This gives us a pair of simple equations:

100%=2000(1).

x%=120(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]

[tex]\Rightarrow x=6\%[/tex]

Therefore, 120 is 6% of 2000$.

Answer:

y's go

13, 6, 5, 4, -3

Step-by-step explanation:

well so you have the equation y = 5 - x^3

you are given the x for all of them

y = 5 - (-2)^3

5 - (-8) = 13

y = 5 - 0^3

5 - 0 = 5

y = 5 - 1^3

5 - 1 = 4

y = 5 - 2^3

5 - 8 = -3

Answer:

i'm going to be honest and say sorry if i its wrong but

i think its 27 - 9x  

and ageing sorry if its wrong

Step-by-step explanation:

Answer:

I think it’s 18

Answer:

18

Step-by-step explanation:

the larger triangle is just a bigger version of the smaller one, and the equal sides show us that it is scaled up to be doubled in size, therefore 9x2=18

Answer:

Step-by-step explanation:

The average rate of change in the value of the account for the first 3 years

is $1.58.

When the independent variable is in the power of some function we call them an exponential function, For example, [tex]e^x[/tex] is an exponential function.

Given, The value of the account, in dollars, can be modeled as

[tex]V(t) = 30(1.05)^t[/tex].

Now at t = 3 or after 3 years, it is [tex]V(t) = 30(1.05)^3[/tex].

V(3) = $34.73 and he initially deposited $30.

So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.

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1. Overweight pullets

2. Pullets coming into lay  

3. Poor hygiene: Cage, trays

4. Heat stress

5. Bird age

Answer:

Aging hens, decreased lighting conditions, molting, omission of feed ingredients

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

item c is the answer

The value of the function when x=3 is approximately 18.83.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The function

Now,

we need to substitute x=3 into the function and simplify it. We get:

3(3)−1​+(1+3)2

=8​+16

≈2.83+16

=4

Therefore, by the given function answer will be 4.

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Answer:

No, Lin assumption is wrong

Step-by-step explanation:

Given

Population of panama = 4 x 10^6

population of thailand = 7 x 10^7.

Taking their ratios

thailand/panama = 7x 10^7/4 x 10^6

thailand/panama  = 7/4 * 10^7-6}

thailand/panama = 1.75 * 10^1

thailand/panama  = 17.5

thailand = 17.5 * panama

Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong

Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.

A proportion is a fraction of a total amount.

In this problem:

The ratio between the populations is given by:

r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.

The ratio is of 17.5, hence Lin is not correct.

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f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-