x - y = 7
x - y = -1
Solve the system of equations by graphing

Answer:

The following are the correct choices

First : The equation c + d represents the sum of the two numbers

Third: The equation c = (1/2)d - 8 represents the relationship

and the last choice : The number c is 14

Step-by-step explanation:

Translate the word problem into equations and solve for c and d where c is the first number and d the second

Sum is 58 translates to

c + d = 58  (1)     ===>   First choice

First number is 8 less than half the second number translates to

c = (1/2)d - 8  (2)  ==> Third choice

Multiply equation (2) by 2 on both sides giving

2c = d - 16  ==> 2c - d = -16  (3)

Add equations (1) and (3) giving

c + d + 2c - d = 58-16

3c = 42

c = 42/3 = 14  ===> Last choice

Substituting for c in equation (1) gives

14 + d = 58

d = 44

Answer:

y=3/4x

Step-by-step explanation:

I use the Rise/Run method. It helps the most for me

Answer: (3,5),(9,1),(6,-9)

Step-by-step explanation:

Just mirror it to the other side.

The [tex]\lim_{x \to 1} 7x-3=7(1)-3=4[/tex] using the ε − δ definition of a limit.

The value that a function approaches when the input approaches a certain value is known as a limit. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

The limit of f(x) at x = c is L according to the epsilon-delta definition of limits if ε > 0 there's a δ > 0 such that if the distance of x from c is less than, then the distance of f(x) from L is less than ε. The idea that we can approach L as closely as we like is expressed in this way.

[tex]\lim_{x \to a}f(x)= L[/tex] if ∀ ε > 0, ∃ δ > 0

0 < | x − a| < δ

⇒ | f(x) − L | < ε

Now, consider the limit

[tex]\lim_{x \to 1} 7x-3=4[/tex]

Here, f(x) = 7x - 3, a = 1, L = 4

Proof:

∀ ε > 0, ∃ δ = ε > 0

0 < | x - 1 | <  δ

⇒ | 7x - 3 - 4 | = | x - 1 | <  δ = ε

Hence, [tex]\lim_{x \to 1} 7x-3=4[/tex]

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The final value of the equation is x=e²/3

A natural log is a logarithm with the base "e." It is represented by the symbol "ln." In other words, loge = ln. In other words, the natural logarithm lacks a base. When "ln" is recognized automatically, "e" is assumed to be its base. The same set of logarithmic rules applies to all logarithms, including the natural logarithm. As a result, the following are the key natural log rules (also known as ln rules):

Therefore the final answer for the given question is x=e²/3

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An equation that represents Tamara's net pay, where x represents her gross pay per pay period is: D. f(x) = 0.11x - 200

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, net pay can be calculated by using this formula:

Net pay = Gross pay - Deductions.

In order to solve this word problem, we would assign variables to the gross pay and then translate the word problem into algebraic equation as follows:

Let x represent the gross pay.

Translating the word problem into an equation, we have;

f(x) = 0.11x - 200

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Answer:

Step-by-step explanation:

wants to pour=64.98

have poured=38.5

how much more can he pour=

                                                64.98

                                               -38.50

                                               ______

                                                  26.48(ans)

3 is a whole number, as it is a regular number, on the other hand decimals and negatives are a diffrent story! Have fun on Brainly!

The key here is to not worry too much and just follow PEMDAS.

Here we have the expression [tex](5\cdot 7)^2[/tex].  Following PEMDAS, we complete the expression inside the parentheses first, or [tex]5\cdot 7 = 35[/tex]. This gives us [tex](35)^2[/tex] or just [tex]35^2.[/tex]

Hope this helps.

75 dolar freefire topupnow this my gamr

Student t distribution

A measurement of a data set's deviation from the mean is referred to as "standard deviation". While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

We have,

Claim : μ = 83

Sample data : s = 15.1, n = 24, and x = 103

The hypothesis test uses the student t distribution because we are evaluating the mean in this situation, the sample standard deviation of a normal distribution is estimated or supplied, and the population's standard deviation is unknown.

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The polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

Given,

The first polynomial =  [tex]-3c^{2}+3-6c[/tex]

The result =  [tex]2c^{2}-c+5[/tex]

Then,

[tex]-3c^{2}+3-6c[/tex] + second polynomial =  [tex]2c^{2}-c+5[/tex]

The second polynomial =   [tex]2c^{2}-c+5[/tex] -( [tex]-3c^{2}+3-6c[/tex] )

[tex]=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2[/tex]

Hence, the polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

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Answer:

$3900

Step-by-step explanation:

100*30=$3000

10%=0.1 ---> 3*0.1=0.3

3000*1.3=$3900

Answer:

p= 3

Step-by-step explanation:

Answer:

p = 3

Step-by-step explanation:

Solving for the value of p,

→ 9p - 12 = -3p + 24

→ 9p + 3p = 24 + 12

→ 12p = 36

→ p = 36/12

→ [ p = 3 ]

Thus, the value of p is 3.

The closest y-intercept is in function 1 so in option (A), the Greatest y-intercept is +4 in function 3 so in option (C), Functions 1 and 2 will have a slope less than 3 option (A) and (B).

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

Given four functions,

The y-intercept is a point on the y-axis where the graph intersects therefore coordinate of x will be 0.

In function 1 ⇒ y-intercept = -1 in rest, all it is far from 1 therefore it is close to 0.

The y-intercept of function 3 is →

y = x + 4 ⇒ y = 0 + 4 = 4 which is greatest positive value among all.

The slope of any function associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of function 1 has points (0,-1) and (1,-5)

(-5 + 1)/(1 - 0) = -4 < 3

The slope of function 2 →

(5 - 8)/(-1 + 2) = -3 < 3 rest all function have slope as > 3.

Hence "The closest y-intercept is in function 1, the Greatest y-intercept is +4 in function 3 , Functions 1 and 2 will have a slope less than 3".

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The area of the trapezoid is 42 square units

The formula for area of a trapezoid is expressed as;

Area = a + b/ 2 h

Where;

Now, to determine the area of the trapezoid, we need to substitute the values of the length of the side and its base with the height of the trapezoid.

Substitute the value into the equation

From the above information, we have that;

Area = 6 + 8/ 2 (6)

Find the quotient

Area = 14/ 2(6)

Area = 7(6)

Multiply through

Area = 42 square units

We have that the area of the trapezoid takes the value 42 square units

Thus, the area of the trapezoid is 42 square units

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The coordinates of point S are (12,₋9)

Given, coordinates of T are (0,5)

midpoint of ST is (6,₋2)

When it is necessary to determine the precise center point between two specified points, the midpoint formula is used. So you may use this method to determine the point that divides a line segment specified by two points in half.

coordinates of S are = ?

we know the midpoint formula is (x₊x₁)/2 , (y₊y₁)/2

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

substitute the given values in the formula.

(6,₋2) =  (x₊0)/2 , (y₊5)/2

for the x value of S:

x/2 = 6

x = 12

for the y value of S:

y₊5/2 = ₋2

y ₊ 5 = ₋4

y = ₋4 ₋ 5

y = ₋9

Therefore the coordinates of S are (12,₋9)

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Answer:

9,887,674 ≈ 10,000,000

69,954,943 ≈ 70,000,000

47,546,804 ≈ 48,000,000

Answer: h=3v+xr^{2}/xr^{2}

Step-by-step explanation:

Answer:

No, doubling the height will just double the volume.

Step-by-step explanation:

It doubles the volume. Volume of a cylinder: volume= \pi *radius squared * height.

Answer:

No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.

Step-by-step explanation:

:)

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}.

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

In the sets:

Union (∪) of two sets means all the elements in the two sets without repeating the same elements

Intersection (∩) of two sets means the common elements in the two sets

∵ Set L = {0 , 20 , 40 , 80 , 100}

∵ Set M = {5 , 10 , 15 , 20 , 25}

∵ Set N = {10 , 20 , 30 , 40 , 50}

We need to find L ∪ (M ∩ N)

At first find (M ∩ N)

M ∩ N means find the common elements of M and N

10 and 20 are common elements in M and N

M ∩ N = {10 , 20}

Now find the union of L and {10 , 20}

L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements

L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}

L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}

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6000 people didn't cast their vote and 1500 votes are not valid in the election

Given that In a municipal election, two candidates, P, and Q, ran for the position of Mayor, and 35000 people voted. Voters were supposed to vote for only one candidate. P received 22000 votes, Q received 5500 votes, and 1500 cast votes for P and Q.

Number of votes for P =22,000

Number of votes for Q= 5500

1500 cast votes to Both P and Q, these votes are not valid because each one is supposed to vote only for one.

Therefore, the number of votes not valid is 1500

Total people cast vote= sum of votes for every party

Total people cast vote=22,000+ 5500+1500

Total people casted vote=29,000

Therefore, 6000 people didn't cast their vote and 1000 votes are not valid in the election

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The quotient of the expression [tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex] is [tex]x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex].

In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Constant: An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Consider the expression,

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex]

Now,

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2}+\frac{-3x^{3}+7x^{2}-5x+1}{x^{2}-5}[/tex]

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + \frac{7x^{2}-20x+1}{x^{2}-5}[/tex]

[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex]

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Answer:The answer would be the second

Step-by-step explanation:The square root of 97 to the third power is 955.3. 78/9 is 8.6 and the square root of 45 is 6.7.

Answer:

I’m not so sure

Step-by-step explanation:

Answer:

1 inch per hour.

Step-by-step explanation:

If a candle burns 6 inches in 6 hours, this means 1 inch of the candle melted every hour. Therefore, the candle burned/melted at a rate of 1 inch per hour.

Hope this helps!

Answer: the candle burns down at about 1 inch per hour

Step-by-step explanation: since if it is burning the whole time the equation you can do is 6 hours divided by 6 inches which is 1 hour by 1 inch

Answer:

b

Step-by-step explanation:

because it is all the factors

It would increase positively because the slope is 3