How many solutions does a system of equations have when solving results in the statement 3 = 5?

Answer:

x=7/15

Step-by-step explanation:

I'm not sure what x means but if you solve the equation it is 7/15

First you would set 10x+15 equal to 25x+8 which would look like 10x+15=25x+8

Then you would combine like terms by subtracting 8 from both sides to get 10x+7=25x

Then subtract 10x from both sides and get 7=15x

So then to get x by itself you would divide both sides by 15 and get 7/15=x

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

The equation 2x = -4 - y in slope-intercept form is y = -2x - 4.

The equation 4 - 2y = -2x in slope-intercept form is y = x + 2.

The equation -y + 6 = x in slope-intercept form is y = -x + 6.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Making "y" the subject of formula, we have the following equation in slope-intercept form:

2x = -4 - y

y = -2x - 4

Making "y" the subject of formula, we have the following equation in slope-intercept form:

4 - 2y = -2x

2y = 2x + 4

By dividing both sides of the equation by 2, we have:

y = x + 2

Making "y" the subject of formula, we have the following equation in slope-intercept form:

-y + 6 = x

y = -x + 6

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Complete Question:

Rewrite the following equations in slope-intercept form;

1). 2x = -4 - y

2). 4 - 2y = -2x

3). -y + 6 = x

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

To find the velocity function and the height function of the stone thrown from a tall cliff, we use acceleration, initial velocity, and initial height. The velocity function is v(t) = -32t + 60. The height function is: h(t) = -16t² + 60t + 117.

By integrating the acceleration function, we can obtain the velocity function. Similarly, by integrating the velocity function, we can determine the height function.

Given that the acceleration of the stone is constant at −32 ft/sec², we can integrate this to find the velocity function. Integrating the acceleration, we have:

∫ A(t) dt = ∫ -32 dt

= -32t + C,

where C is the constant of integration.

Using the information that the velocity after 2 seconds is −6 ft/sec, we substitute t = 2 and v(t) = -6 into the velocity function:

-6 = -32(2) + C

C = 60.

Therefore, the velocity function is:

v(t) = -32t + 60.

To find the height function, we integrate the velocity function:

∫ v(t) dt = ∫ (-32t + 60) dt

= -16t² + 60t + D,

where D is the constant of integration.

Using the information that the height after 2 seconds is 277 ft, we substitute t = 2 and h(t) = 277 into the height function:

277 = -16(2)² + 60(2) + D

D = 117.

Therefore, the height function is:

h(t) = -16t² + 60t + 117.

In summary, the velocity function is v(t) = -32t + 60 and the height function is h(t) = -16t² + 60t + 117.

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Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

The statement "An equilateral triangle is a special type of isosceles triangle" is true.

An equilateral triangle is a triangle with all three sides and angles equal. Since an isosceles triangle is a triangle with at least two sides and angles equal, an equilateral triangle, with all three sides and angles equal, fulfills the condition of being an isosceles triangle. Therefore, an equilateral triangle can be considered a special case of an isosceles triangle.

However, the other statements are not true:

An isosceles triangle cannot have all different side lengths. In an isosceles triangle, at least two sides must have the same length.

A triangle cannot have two obtuse angles. The sum of the angles in a triangle is always 180 degrees, so if one angle is obtuse (greater than 90 degrees), the sum of the other two angles must be less than 90 degrees, making them acute or right angles.

An equilateral triangle cannot have different side lengths. By definition, an equilateral triangle has all three sides of equal length.

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Correct Question:

Which of these statements is true? An isosceles triangle can have all different side lengths. A triangle could have two obtuse angles. An equilateral triangle can have different side lengths, as long as the angles are all the same. An equilateral triangle is a special type of isosceles triangle.

So, the total cost including sales tax is 1.07 times the cost before tax.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". It is commonly used to represent proportions, rates, and changes in quantity. For example, if 50 out of 100 students in a class passed an exam, the pass rate is 50%, which means that 50% of the students in the class passed the exam.

Here,

Let's say the cost of the fishing gear before tax was $X. Then, the sales tax would be 0.07*X. To get the total cost, we add the cost before tax and the sales tax:

Total cost = cost before tax + sales tax

Total cost = X + 0.07X

Total cost = 1.07X

So, the total cost including sales tax is 1.07 times the cost before tax. If you know the cost before tax, you can calculate the total cost by multiplying it by 1.07.

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To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

To convert an expression into standard form a + bi, you separate the real and imaginary parts and combine them using the appropriate operators.

To write an expression into standard form, a + bi form, you need to separate the real and imaginary components of the expression and combine them using the appropriate notation.

In a + bi form, 'a' represents the real part of the expression, and 'b' represents the imaginary part.

Let's say we have an expression in the form x + yi, where 'x' is the real part and 'y' is the imaginary part.

To convert this expression into standard form, you need to perform the following steps:

Separate the real and imaginary parts of the expression.

Write the real part first, followed by the imaginary part with 'i'.

Combine the real and imaginary parts using the appropriate operators (+ or -).

Let's take an example to illustrate this process:

Suppose we have the expression 3 + 2i.

Here, '3' is the real part, and '2' is the imaginary part.

To convert it into standard form, we write it as 3 + 2i.

Similarly, if we have the expression -5 - 4i, where '-5' is the real part and '-4' is the imaginary part, we write it as -5 - 4i.

In both cases, the expressions are in standard form, a + bi.

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Answer:

$70.77

Step-by-step explanation:

Cost of 's' yards of satin fabric= 8.09*s = 8.09s

Cost of 'c' yard of cotton fabric = 3.79 * c = 3.79c

Total cost of fabric = 8.09s + 3.79c

s = 5 yards ;  c = 8 yards

Plugin the value of s and c in expression,

8.09*5 + 3.79*8 = 40.45 + 30.32

                          = $ 70.77

Answer:

Step-by-step explanation:

Point. Which undefined term is needed to define an angle? Point. Ray.

Phil's life expectancy is 56.3 years.

Based on the provided data, the life expectancy for Phil, a 21-year-old male, is 56.3 years. Therefore, the correct answer is 56.3 years.

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Answer:

G = 18.75

Step-by-step explanation:

A. 12.5 * 7.5 = 93.75

B. 10 * 7.5 = 75

93.75 - 75 = 18.75

Answer:

8 in each row

The derivative of k(x) is:

k'(x) = (-5/4) x^(1/4) e^[-1/4x^(5/4) + 5/3x^(-5/2)] - (25/6) x^(-7/2) e^[-1/4x^(5/4) + 5/3x^(-5/2)]

To find the derivative of k(x) with respect to x, we need to use the chain rule and product rule of differentiation.

Let's first simplify the expression inside the exponential function using the laws of exponents.

k(x) = e^[-1/4x^(5/4) + 5/3x^(-5/2)]

= e^[-(1/4)x^(5/4)] * e^[5/3x^(-5/2)]

Now, we can find the derivative of k(x) as follows:

k'(x) = [-5/4 * x^(1/4) * e^(-1/4x^(5/4))] * e^[5/3x^(-5/2)]

+ e^[-1/4x^(5/4)] * [-5/2 * 5/3 * x^(-7/2) * e^(5/3x^(-5/2))]

= (-5/4) x^(1/4) e^(-1/4x^(5/4)) e^(5/3x^(-5/2)) - (25/6) x^(-7/2) e^(-1/4x^(5/4)) e^(5/3x^(-5/2))

  = (-5/4) x^(1/4) e^(-1/4x^(5/4) + 5/3x^(-5/2)) - (25/6) x^(-7/2) e^(-1/4x^(5/4) + 5/3x^(-5/2))

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Within the case of 7320, the digit within the tens put is 3, which is less than 5. Hence, we circular down the units digit to 0, and the number gets to be 7300.

Within the handle of adjusting to one noteworthy figure, we ought to see the digit within the tens put (the moment digit from the cleared out) and decide whether to circular up or down. On the off chance that the digit within the tens put is 5 or more prominent, we circular up the units digit. In the event that it is less than 5, we circulate down the units digit.

This streamlines the number and keeps as it were the foremost noteworthy digit, which is 7. Adjusting to one noteworthy figure could be a valuable way to quickly estimate the greatness of a number without requiring to know the correct esteem. 

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The day the two bags will have the same weight is the 24th day.

The linear equation that can be used to determine the pound of dog food left is:

Amount of dog food left = capacity of the bag - (number of days x amount the dog eats per day)

Amount of dog food left = 34 - (1 x p)

Amount of dog food left = 34 - 1p

The linear equation that can be used to determine the pound of cat food left is:

Amount of cat food left = capacity of the bag - (number of days x amount the cat eats per day)

Amount of cat food left = 16 - (1/4 x p)

Amount of cat food left = 16 - 1/4p

On the day the two bags will have the same weight, the two above equations would be equal:

16 - 1/4p = 34 - 1p

p - 1/4p = 34 - 16

3/4p = 18

p = (18 x 4) / 3

p = 24 days

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Answer: − 104 y^2 + 52y

Answer:

Option C (the third option) or option A (the first option) may be correct.

Step-by-step explanation:

-13y(8y-4)

Use the distributive property to multiply -13y by 8y - 4.

-104y2+52y

Answer:

4x

Step-by-step explanation:

4x is going to be the answer because he bakes 4 cobblers and they need c cups of flour so c is going to be the variable x. :)

General form.

Our term

On comparing

Graph attached

Answer:

Sample 1 : 4 is the answer of your question

hope it is helpful to you

Answer:

See below.

Step-by-step explanation:

The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.

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10÷2=5

5+2=7

6÷3=2

2+3=5

4÷-4=-1

-1-4=-5

this is the pattern

9514 1404 393

Answer:

Step-by-step explanation:

The real part is the term not containing i as a factor.

The imaginary part is defined differently, depending on who you read. It is either the coefficient of i (-19), or the term containing i (-19i).

Above, we have shown the results that are obtained from functions designed to give the real and imaginary parts of a complex number.

real part: 14

imaginary part: -19, or -19i

AE(X) = $23,333.33  could John expect to collect in yearly leases for the whole building in a given year.

What is  probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability \($=\sum_{i=0}^5 x_i p\left(x_i\right)$\)

Expected probability \($=0 p(0)+1 P(1)+2 P(2)+3 P(3)+4 P(4)+5 P(5)$\)

Expected probability \($=0 \cdot\left(\frac{5}{18}\right)+1 \cdot\left(\frac{1}{4}\right)+2 \cdot\left(\frac{1}{9}\right)+3 \cdot\left(\frac{1}{18}\right)+4 \cdot\left(\frac{2}{9}\right)+5 \cdot\left(\frac{1}{12}\right)=\frac{35}{18}$\)

It is given that the yearly lease \($=\$ 12,000$\).

The yearly leases for the whole building in a given year is

Yearly leases \($=\frac{35}{18} \times 12000=23333.3333333 \approx 23333.33$\)

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