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The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

Given the 2 equations,

1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

Equation 1

⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }

⇒[tex]3^{2}[/tex]-1

⇒9-1

⇒8

Equation 2

⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

⇒3(-3)+4[tex](5)^{2}[/tex]  {substituting x=-3 and y=5 }

⇒-9+4(25)

⇒-9+100

⇒91

Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

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The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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The amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

Let x represent the amount of water

Hence,

15% = .18(30)/(30+x)× 100          

Solve for x

.15 = 5.4/(30+x)

.15(30+x) = 5.4

30 + x = 5.4/.15= 36

x = 36 - 30

x = 6 ml

Therefore the amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

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Answer:

9

Step-by-step explanation:

The number 9 is in the hundredths place!

From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!

The value of 'b' written in inequalities is: 8 > b > -8.

Inequalities are mathematical declarations that include the symbols > and <.

Some rules for solving the inequalities are-

For the given inequality;

48 < -6b < 48

Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.

Thus,

8 > b > -8 which defined the limits for the b values.

Therefore, the interval for the value of 'b'  are obtained as  8 > b > -8.

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Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

Answer:

Step-by-step explanation:

the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true

rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.

the fifth choice only be used to decimal number  with circulating decimal, not the irrational number.

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Infer means to guess or reach a conclusion, especially based on an indirect hint.

The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.

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Answer:  87/100

Step-by-step explanation:

Answer:

The and is –6

Step-by-step explanation:

–2A= –2[0 , –6]

2B= 2[–8 , –1]

–2A= –2 [0 , +12]

2B= 2[–16 , –2]

–2A + 2B=[0 ,12] + [–16 ,–2]

=[0+(–16) + 12+(–2)]

=[0–16+12–2]

= –16+10

= –6.

Hope it was helpful

Answer:

g = 2b - 17

Step-by-step explanation:

Girls = g

Boys = b

g = 2b - 17

The points Y and Z after transition are (-4,-2) and (-2,4)

In this case, we are required to find x' and y' to find the direction of transition

x' =x coordinate of point 2 - x coordinate of point 1

   = 0-2 = -2

y'= y coordinate of point 2 - y coordinate of point 1

   =4-2 = 2

Now we are required to  subtract these transition from the points given,

Transition of point Y = (-2-2 ,0-2)  =(-4,-2)

Transition of point Z =(0-2,6-2)  = (-2,4)

Hence the points after transition are  Y as(-4,-2) and Z as (-2,4)

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Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.

Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.

In this method there is equal chance of every member of population to get selected.

According to the question there is equal chance for every student to get selected by Doctor smith.

Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.

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Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

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Answer:

it would be A since the plus sign is canceled by the minus sign for the equation.

Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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Answer:

[tex]x=4,\:x=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]x\left(2x-5\right)[/tex]

Apply the distributive law.

[tex]=x\cdot \:2x-x\cdot \:5[/tex]
[tex]=2x^2-5x[/tex]
[tex]2x^2-5x=12[/tex]
Subtract 12 from both sides.
[tex]2x^2-5x-12=12-12[/tex]
[tex]2x^2-5x-12=0[/tex]
Now, apply the quadratic formula.
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}[/tex]
Separate the solutions.
[tex]x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}[/tex]
Simplify.
[tex]x=4,\:x=-\frac{3}{2}[/tex]

Answer:

The length is 225 yd, and the width is 175 yd.

Step-by-step explanation:

Let w = width.

Then the length = w + 50.

perimeter = 2(length + width)

800 = 2(w + 50 + w)

400 = 2w + 50

2w = 350

w = 175

w + 50 = 225

The length is 225 yd, and the width is 175 yd.

Answer:

225 * 175 yards,

Step-by-step explanation:

If the width is x then the length is x+50.

Perimeter = 2(width + length)

800 = 2( x + x + 50)

2x + 50 = 400

2x = 350

x = 175

So, the width is 175 yd and length is 225yd.

Step-by-step explanation:

a is 5, b is 24, c is 2 and d is 2

Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

Answer: 1

Step-by-step explanation:

How big is the table? 1 table can fit all 17 people if the table is big enough.

Answer:

hi loll

Step-by-step explanation:

Answer: x < √3 - x

Step-by-step explanation:

-x^2+x-3<0

= x^2+x < 3

= x^2 < 3 - x

= x < √3 - x

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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Answer:

let the number be x and y

Step-by-step explanation:

x+y=12

x-y=-4

here,