what is the coordinate rule and transformation?

Answer:

8 + x = 52

Where x = Matt's savings

Two or more expressions with equal sign is equation, if the equation 5k^2−20k=15 then 1 and 3 are exact values of the solutions.

Two or more expressions with equal sign is called as Equation.

The given equation 5k^2−20k=15,

let us make it a QE by taking 15 to left.

5k^2−20k-15

a=5, b=-20, c=-15

k=-b±√b^2-4ac/2a

=20±√(-20)^2-4(5)(-15)/2(5)

=20±√400-300/10

=20±√100/10

=20±10/10

k=20+10/10 or k=20-10/10

k=3, or k=1

Therefore the solutions of equation 5k^2−20k=15 are 1 and 3.

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Answer:

Brahmagupta in 628

Step-by-step explanation:

Answer:

Zero and its operation are first defined by Brahmagupta in 628. He developed a symbol for zero: a dot underneath numbers.

The given equation y = 3x + 45 in form ax+by=c is 3x - y = - 45.

So,  y=3x+45 into ax+by=c form:

Therefore, the given equation in form ax+by=c is 3x - y = - 45.

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An equation and number line which shows that a number and its opposite are additive inverses is: 2 + (-2) = 0 in graph B.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

An additive inverse can be defined as a number (n) which when added to another number (a) makes it equal to zero (0). This ultimately implies that, an additive inverse is the opposite of another number (a).

Mathematically, an additive inverse can be represented by the following expressions:

a + n = 0

a = -n

In this context, we can reasonably infer and logically deduce that an equation and number line which shows that a number and its opposite are additive inverses is 2 + (-2) = 0 in graph B (see attachment).

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Amos says that the opposite and the absolute value of a number are always the same. This is true.

It should be noted that from the information, Amos says that the opposite and the absolute value of a number are always the same.

For example, given the number 23, the opposite will be -23 and the absolute value is also -23. This implies that they are the same.

Therefore, Amos says that the opposite and the absolute value of a number are always the same. This is true.

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Amos says that the opposite and the absolute value of a number are always the same. True or false.

Answer: 1; talkative 2;  an act of kindness 3; to make yourself public

4;  buying a car for someone

Step-by-step explanation:

Pamela is 1 year old now.

How to solve problems on ages ?

Age after n years = X +n

Age n years ago = X - n

n times the present age = nX

If ages in the numerical are mentioned in the ratio A : B, then A : B will be AX and BX.

Age of Y = Ratio of Y / Sum of ratios x sum of ages

Age of Y = q/ (p +q) x A  

In the given statement is:

Debra is 7 years younger than Pamela. In 6 years, Pamela will be twice as old as Debra.

To find the how old is Pamela now.

Now, Based on the given conditions,

Formulate:

Let x be the Pamela's age

6 + 7 + x = 2(6 + x)

13 + x = 12 + 2x

x - 2x = 12 - 13

-x = -1

x = 1

Hence, Pamela is 1 year old now.

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The product of 3/6×5/4 is equal to the product of 3/4×5/6.

What is simplification?

Here,

3/6×5/4 = 3 * 5 / 6* 4

            = 15 / 24

3/4×5/6 = 3 * 5 / 4 * 6

            = 15 / 24

Thus, The product of 3/6×5/4 is equal to the product of 3/4×5/6.

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The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. Athena's will be charged $74.77 for interest.

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Given,

Athena's credit card has an APR of 32.99%.

We need to convert the percentage to decimal.

32.99%=32.99/100

=0.3299

The amount will she be charged for interest is

=(2719.83*0.3299)/12

=897.27/12

=74.77

Therefore Athena's will be charged $74.77 for interest.

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Answer:

a. [tex]\frac{10}{3}[/tex]

b. [tex]\frac{4}{3}[/tex]

c.[tex]4\frac{2}{3}[/tex]

Step-by-step explanation:

a.

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

[tex]3\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{7}{2}[/tex]

b.

reciprocal is technically the opposite

c.

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

[tex]=\frac{7}{2}\div \frac{3}{4}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{7}{2}\times \frac{4}{3}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]

[tex]=\frac{7}{1}\times \frac{2}{3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]\frac{7\times \:2}{1\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:7\times \:2=14[/tex]

[tex]=\frac{14}{1\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:3=3[/tex]

[tex]=\frac{14}{3}[/tex]

[tex]\mathrm{Convert\:improper\:fraction\:to\:mixed\:numbers}[/tex]

[tex]4\frac{2}{3}[/tex]

The function f(x) = 8x³ satisfies the condition f(-x) = -f(x) and is odd. D.

To determine whether the function f(x) = 8x³ is even or odd, we need to analyze the symmetry of the function with respect to the y-axis and the origin.

Even function:

If a function is even, it satisfies the condition f(-x) = f(x), meaning that the function is symmetric with respect to the y-axis.

Odd function:

If a function is odd, it satisfies the condition f(-x) = -f(x), meaning that the function is symmetric with respect to the origin.

Now, let's analyze the given function, f(x) = 8x³:

Testing for evenness:

If we substitute -x for x in the function, we have f(-x) = 8(-x)³

= -8x³.

This is not equal to f(x) = 8x³.

The function f(x) = 8x³ is not even.

Testing for oddness:

If we substitute -x for x in the function, we have f(-x) = 8(-x)³

= -8x³.

This is equal to -f(x) = -8x³.

The function is odd because f(–x) = –f(x).

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The value the equation related to S and N is 25.

What is algebraic expression ?

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression. A good example of an algebraic expression is 3x2 + 2xy + c.

N will be the function of S since the number of cookies made is dependent on the amount of sugar

N = 25S,  S ≥ 0

This is the for the every cup of sugar we make 25 cookies. for the graph we can plot some points

S          N

_________

0           0

1           25

1.5         37.5

2           50

This will be a line with slope of 25

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The equation that is parallel and perpendicular are y + 4  = 7/5(x-35) and y+4 = -5/7(x - 35) respectively.

A line is defined as the shortest distance between two points. The formula for finding the equation of a line in point slope form is:

y - y₁ = m(x-x₁) (Parallel lines)

y - y₁ = -1/m(x-x₁) (Perpendicular lines)

Given the following parameters;

Point = (35, -4)

Given the equation 7x-5y = 0

5y = 7x

y = 7/5x

Slope = 7/5

Substitute the slope and point into the equation

y + 4  = 7/5(x-35) (Parallel lines)

y +4 = -1/(7/5)(x-35) (Perpendicular lines)

y+4 = -5/7(x - 35)(Perpendicular lines)

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Answer:

C= right angle (90 degrees)

Step-by-step explanation:

a + b + c = 180

The triangle is perfectly 180 degrees, making it supplementary

I wasn't very sure what you were asking, but I hope this helped

Answer:

A) [tex]x = -5[/tex]

Step-by-step explanation:

[tex](x + 3)^2 = | x + 1 |\\\to x^2 + 6x + 9 = | x + 1|[/tex]

Case 1: x + 1 is positive

[tex]x^2 + 6x + 9 = x + 1\\\to x^2 + 5x + 8 = 0\\\to \text{No solutions.}[/tex]

Case 2: x + 1 is negative

[tex]-x^2 - 6x - 9 = x + 1\\\to 0 = x^2 + 7x + 10\\\to 0 = (x + 5)( x + 2)\\\to x = -5 \text{ or } x = -2[/tex]

Answer:

A D B C E

Step-by-step explanation:

That is the order of steps in the solution

The three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

Inequalities are defined as mathematical expressions in which both sides are not made equal to each other.

Given the inequalities;

Let's solve for the value of x

x - 0.8 < 0

Make 'x' the subject

x < 0 + 0. 8

x < 0. 8

-5x < 10

Make 'x' the subject by dividing both sides by - 5

-5x/ 5 < 10/ -5

x < -2

Thus, the three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

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The value of the two numbers are 30 and 20.

According to the statement

We have to find that the value of the two numbers.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the given information:

The larger of two numbers is 10 less than the smaller number. The sum of the two numbers is 50.

Then

Let the first number be x and the second number y

Then

y = x -10

And

x+y = 50

Then

Substitute the value then

x+x-10 = 50

2x = 50+10

2x = 60

x =30

Then

y = x -10

y = 30 -10

y = 20

So, The value of the two numbers are 30 and 20.

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Answer:

the last choice

Step-by-step explanation:

u will minus 3 from each side. that's the point

Answer:7000

Step-by-step explanation:3400-2700=7000

Answer: x = 45/2

Step-by-step explanation:

x=3(x-15)

x=3x-45

-2x=-45

x=45/2

Keep it as a fraction to keep it simple or you can make it a decimal which is x = 22.5

The probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now it is given that,

The proportion of free throws the player makes, p = 80% = 0.8

The number of throws, n = 3

The throws the player makes, r = 2

Since the probability is given as,

P(r) = nCr x p^r x (1 - p)^(n-r)

So, the probability that an NBA player makes 2 of his next 3 free throws

Putting the values we get,

P(2) = ³C₂ x (0.8)^2 x (1 - 0.8)^(3-2)

Solving we get,

P(2) = 3 x 0.64 x (0.2)^(1)

Thus we get,

P(2) = 3 x 0.64 x 0.2

Multiplying we get,

P(2) = 0.384

this is the required probability that an NBA player makes 2 of his next 3 free throws.

Thus, the probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384

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Answer:

6. perfect squares 5 and 6

7. between integers 5 and 6

Step-by-step explanation:

[tex]\sqrt[3]{141} = 35.62\\[/tex]

The weight average of the coordinates is 9

Given,

The coordinate 6 has a weight of 2

The coordinate 9 has a weight of 2

The coordinate 15 has a weight of 1

We have to find the weight average:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = ( (6 x 2) + (9 x 2) + (15 x 1) ) / (2 + 2 + 1)

= (12 + 18 + 15) / 5

= 45 / 5

= 9

Hence, the weight average of the coordinates is 9

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Answer:

0.11 because i did it before

Step-by-step explanation:

Answer:

The answer is D I've done it before

Answer:5 per  Gallone

Step-by-step explanation:

Answer:

Gas in India is $3.88 per gallon.

This is MORE expensive than $2.36 per gallon.

Step-by-step explanation:

Use the conversion factors given to change rupees to dollars and liters to gallons. See image.

(and btw, this question has very outdated information. Gas is $5.90 per gallon today in this poster's City, State, USA)