(c) If 2a + 7b = 11 and ab = 2, find the value of 4a2 + 49b2.​

Answer:

The answers are A, B, E

Step-by-step explanation:

C and D are less but not greater than-1.6

Answer: 4746.09375 dollars (just round down to nine cents)

Step-by-step explanation:

The revenue in the 5th night in two will be $4746.093.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

Revenue in the first night = $15000

Since revenue of new night is 75% of the previous night

So,

2nd night = 15000 × 75/100 = 11250

3rd night = 8437.5

So the given sequence is ;

15000, 11250, 8437.5 ... it is a GP series.

First term(a) = 15000

Common ratio(r) = 11250/15000 = 0.75

The nth term of a GP is given by ;

[tex]a_{n} = ar^{n-1}[/tex]

So for 5th-night n = 5

So,

a₅ = ar⁵⁻¹

a₅ = 15000(0.75)⁴

a₅ = 4746.093

Hence "The revenue in the 5th night in two will be $4746.093".

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Answer:

rational numbers are numbers that can be written as the ratio of two integers

Answer:

[tex]z+5.57[/tex]

Step-by-step explanation:

Answer:

Z=5.57

Step-by-step explanation:

Z-1. 75=3.82

get the variable by itself by adding 1.75 to both sides and you get Z=5.57

Answer:

81

Step-by-step explanation:

[tex] \frac{x}{9} = 9[/tex]

is also equal to

[tex]x \div 9 = 9[/tex]

so to find x, we need to remove (÷9) and so in order to do so, we multiply 9 on both sides and thus it is 81.

Answer:1:2

Step-by-step explanation:

it is this answer because you have 2 circles for 4 triangles, you can simplify that by dividing each number by 2 and you get 1 and 2

Answer:

1:2

Step-by-step explanation:

it would originally be 2:4 But both are divisible by 2 so they simplify down to 1:2........2÷2=1 and 4÷2=2 since the ratio has to be circles to triangle the 1 goes first then the 2

Answer: 70 meters

Step-by-step explanation: In order to figure out how much Marc's elevation decreased equally for each stage you need to get the original elevation (350) and divide that by 5 (the # of stages).

Stage 1: 70m

Stage 2: 70m

Stage 3: 70m

Stage 4: 70m

Stage 5: 70m

Answer: [tex](f+g)(x)=2x^{2} +x+4[/tex]

Step-by-step explanation:

Add both of the functions together

[tex](2x^{2} -3x)+(4x+4)\\2x^{2} +x+4[/tex]

Answer:

C

Step-by-step explanation:

A equals 8

B eqauls 8

C equals-8

D equals 8

Answer:

Which function is a translation of the parent absolute value function

Step-by-step explanation:

f(x)=|x+6|

Answer: B

f(x)= |x+6|

Answer:

Do 4415 - 15 to take away delivery fee

Then you have 4400

Divide by 550

4400/550

8 dollars per shirt

Step-by-step explanation:

Answer:

The answer should be D. $20.25+$5.25x; $99

Step-by-step explanation:

y=mx+b

m=$5.25

x=15

b=$20.25

This gives us:

5.25x + 20.25

5.25(15)+20.25

78.75+20.25

y=99

Answer: 20.25 + 5.25x ; 99

Hope this helps!

Answer:

Pls follow me

I'm new here

PLEASE

Step-by-step explanation:

I'll follow u back..

PROMISE

Answer:

12/7

Step-by-step explanation:

The value of the expression as a fraction is 12/7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6/7 ÷ 1/2

This can be written as,

= (6/7) / (1/2)

= (6 x 2)/7

= 12/7

Thus,

The value is 12/7.

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Greetings from Brasil...

According to the statement of the question, let X be any number. If this number X has to be less than 15, we can write:

The number is less than 15 and  it can be represented by x < 15.

It is given in the question that a number is less than 15.

We have to represent it by translating inequalities.

How will we represent 10 times of x ?

The answer will be 10x.

Let's assume the number is X.

⇒ X <  15 (as per the question)

< symbolic is for less than i.e., X is less than 15.

X represents an unknown value, i.e., numbers less than 15 are 14, 13, 12,...etc.

Thus , if a number is less than 15 , it can be represented by x < 15.

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Answer:

14:25 is the ratio

Answer:

25 : 14

Step-by-step explanation:

If there are 25 circles

               &

14 hearts, the ratio is 25 : 14

Answer:

there you see nothing

Step-by-step explanation:

Answer:

there you say nothing to do it for me

Answer:The Mann-Whitney U test is used to compare differences between two independent groups when the dependent variable is either ordinal or continuous, but not normally distributed. ... The Mann-Whitney U test is often considered the nonparametric alternative to the independent t-test although this is not always the case.

Step-by-step explanation:that would de why

Answer:

Step-by-step explanation:

a: 2(-3x - 2)/2 = -3x - 2

c: -(6x +4)/2 = (-6x  - 4)/2

d: -3x -2 when the brackets are removed and the terms are multiplied by -1/2

200 divided by 300000 = 0.000666666666667

Answer:191/94 i hope this helps!!(✿◠‿◠)

Answer:

The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]

Where:

[tex]x[/tex] - Horizontal distance from the start line, measured in meters.

[tex]y[/tex] - Height of the long jumper, measured in meters.

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Polynomial constants, measured in [tex]\frac{1}{m}[/tex], dimensionless and meters, respectively.

If we know that [tex](x_{1},y_{1}) = (3\,m, 0\,m)[/tex], [tex](x_{2},y_{2}) = (8\,m, 0.05\,m)[/tex] and [tex](x_{3}, y_{3}) = (9\,m, 0\,m)[/tex], this system of linear equations is presented below:

[tex]9\cdot a + 3\cdot b + c = 0[/tex] (Eq. 1)

[tex]81\cdot a + 9\cdot b + c = 0[/tex] (Eq. 2)

[tex]64\cdot a + 8\cdot b + c = 0.05[/tex] (Eq. 3)

The coefficients of the polynomial are, respectively:

[tex]a = -\frac{1}{100}[/tex], [tex]b = \frac{3}{25}[/tex], [tex]c = -\frac{27}{100}[/tex]

The equation of the parabola that models the path of the long jumper through the air is [tex]y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}[/tex].

But we need [tex]y[/tex] measured in centimeters, then, we use the following conversion:

[tex]y = 100\cdot y'[/tex]

Then, we get that:

[tex]y = -x^{2}+12\cdot x -27[/tex]

Where [tex]x[/tex] and [tex]y[/tex] are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].

Answer:

[tex]5 {x}^{2} - 4x - 3[/tex]

Step-by-step explanation:

[tex](8 {x}^{2} - 5x + 1) - (3 {x}^{2} - x + 4) \\ = 8 {x}^{2} - 5x + 1 - 3{x}^{2} + x - 4 \\ = 5 {x}^{2} - 4x - 3[/tex]

Answer:

-1/5

Step-by-step explanation:

[tex]\frac{2}{3}+\frac{-13}{15} \\=\frac{10}{15} +\frac{-13}{15}\\ =\frac{-3}{15} \\=\frac{-1}{5}[/tex]

Answer:

I believe it is $1.60 a pound but i'm not sure.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Hope this helps

Answer:

x < 2

Step-by-step explanation:

Given

5(x - 2) < - 3x + 6 ← distribute parenthesis on left side

5x - 10 < - 3x + 6 ( add 3x to both sides )

8x - 10 < 6 ( add 10 to both sides )

8x < 16 ( divide both sides by 8 )

x < 2

Hey there!☺

[tex]Answer:\boxed{x<2}[/tex]

[tex]Explanation:[/tex]

Let's start by simplifying both sides of the inequality:

[tex]5x-10<-3x+6[/tex]

Now add 3x to both sides:

[tex]5x-10+3x<-3x+6+3x\\8x-10<6[/tex]

In our third step, we will add 10 to both sides:

[tex]8x-10+10<6+10\\8x<16[/tex]

In our last step, we will divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

Simplify 16/8:

[tex]\frac{16}{8}=2\\ x<2[/tex]

x<2 is your answer.

Hope this helps!☺

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