Question
Solve the following system of equations.
Write your answer as an ordered pair in the form (x, y).
x = -3y-7
5x+6y =-8

The solution is 22.5

To solve the given equation, rewriting the equation -

√(2x + 3) - 7 = 0

Shifting 7 to the Right Hand Side of the equation

√(2x + 3) = 7

Taking square on both sides of the equation

(√(2x + 3))² = 7²

Solving the square

2x + 3 = 49

Shifting 3 to the Right Hand Side of the equation

2x = 49 - 3

Performing subtraction on Right Hand Side of the equation

2x = 45

Shifting 2 to the Right Hand Side of the equation

x = 45 ÷ 2

Performing division on the Right Hand Side of the equation

x = 22.5

Hence, the solution is 22.5

Learn more about calculations on solving the expression -

https://brainly.com/question/19406107

#SPJ4

Answer: Answer is C

Step-by-step explanation:

Based on the given task content, the division of 4,550 by 64 is approximately 71.09 to two decimal places.

4,550 divided by 64

The divisor which is a number or expression that another number divides is 4,550

The dividend which is the number or the expression which is used to divide another is 64

The quotient here simply refers to the result which is obtained by dividing one number by another.

4,550 divided by 64

= 4,550 / 64

= 71.09375

This result above can be correctly approximated to two decimal places, that is, two values after the decimal point.

Approximately,

71.09375

= 71.09

This is a number expressed in the decimal system (base 10), particularly fractional numbers.

For instance, in the illustration below:

13¼ = 13.25 as a decimal number.

So therefore, the division of 4,550 by 64 is approximately 71.09 to two decimal places.

Read more about division:

https://brainly.com/question/11786124

#SPJ1

Answer:

v = 7

Step-by-step explanation:

Reverse sides

[tex]v+35=42[/tex]

Subtract 35

[tex]v+35-35=42-35[/tex]

Simplify

[tex]v=7[/tex]

Answer:

v = 7

Step-by-step explanation:

Subtract 35 from both sides

Answer:

12.65:1

Step-by-step explanation:

The cost per one pair of sandal is 12.65 dollars.

Hopefully this helped have a great day :D

Answer:

The original cost is 160,000

Step-by-step explanation:

X  x 25/100 + X = 200,000

25X/100 + X =200,000

X= 200,000-25X/100

X= (20,000,000-25X) / 100

100X = 20,000,000-25X

125X = 20,000,000

X = 160000

The length of line segment AB  shown in the line graph is is 2 units

With the given line graph it is very obvious that the line segment AB has two point A and B with -4 and -2 as their value

To measure the length we need to subtract the x coordinate of one end point from the another end point

here we will deduct the x coordinate of b point from the x coordinate of A point which is shown below

           - 4 - (-2)

and using the simple integer properties we can solve this problem of line graph

           - 4 + 2

which comes out to be 2

hence, the length of line segment AB  shown in the line graph is is 2 units

To know more about line graph- https://brainly.com/question/23680294

#SPJ9

Answer:

the equation is " y = (slope)x + (y-intercept) "

Step-by-step explanation:

here ya go ! hope this helps

Answer: Hope this helps. This graph is at a highschool level so if you are actually in highschool this should help you. If you are in middle school I can adjust it to a more simple graph.

Step-by-step explanation:

Answer: x=296

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

[tex]\frac{6 + (-12) + 24 + (-48)}{4} =\frac{-30}{4} =-7.5[/tex]

Answer:

nonlinear

Step-by-step explanation:

In a linear equation, there are no multiplications of variables by variables.

x³ means x × x × x, so there is a multiplication of variables in the equation, and the equation is not linear.

Answer:

Non-linear

Step-by-step explanation:

Since one of the terms has an exponent of 3, this is a cubic equation, a third degree equation. It is a curve and therefore, NOT a linear equation.

The expression log₆5+log₆x as a single logarithm is log₆5x.

The logarithm is exponent's inverse function in mathematics. This indicates that the exponent to which a fixed number(say a) at base b, must be raised in order to create a  number x, is represented by the logarithm of that number.

For example if 8=2³ can be written in the logarithmic form as

log₂8=3.

The general properties of logarithm for a fixed base are:

Here the given logarithmic expression is (log₆5+log₆x)

So according to the properties of logarithms we can use the above property "logₐx+logₐy=logₐxy" to simplify the given expression.

Therefore:

log₆5+log₆x

=log₆(5×x)

=log₆5x

Hence written as a single logarithm the expression is log₆5x.

To learn more about logarithm visit:

https://brainly.com/question/20785664

#SPJ4

Answer:

0.834 is the correct answer

The answer choice that correctly represents the quotient of 28134 divided by 71 is 28134/71

The quotient statement is given as

28134 divided by 71

In mathematics, quotient  is represented by division using the symbol /

i.e. the quotient of a and b is a/b

Using  the above as a guide, we have the following quotient expression

28134/71

Hence. the answer choice that correctly represents the quotient of 28134 divided by 71 is 28134/71

Read more about quotient at

https://brainly.com/question/629998

#SPJ1

Answer:

12 is the fill in

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

a = 6,c = 15, b = 12, P = 33

Step-by-step explanation:

Answer:

a = 6,c = 15, b = 12, P = 33 is the answer :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer for this one would be Angles ABC and CDA are congruent according to the property parallelograms (opposite angles congruent). The shape is a parallelogram and that's why that answer would make sense and the opposite angles is another way to prove it's congruent!

Hope this helped!

:D

Answer:

ABC and CDA are congruent according to the system/property of parallelograms(Opposite angles congruent(A.K.A option B)).

Step-by-step explanation:

CDA and ABC are opposite angles that are equal in measure, and equal in length, which directly follows this property. Thus, they are congruent.

Using a proportional relationship, it is found that point (10.5, 42) makes sense in this context, as when x = 10.5, y = 42 is the output of the relation.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, defined by k, in the case of a direct relationship, according to the following rule:

y = kx

For the case of an inverse relationship, we have that:

y = k/x.

From the table in this problem, the constant is given as follows:

k = 28/7 = 32/8 = 36/9 = 40/10 = 4.

Hence the relation is modeled as follows:

y = 4x.

In which:

When x = 10.5, we have that:

y = 4(10.5) = 42.

Hence point (10.5, 42) makes sense in this context.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Answer:

1st question: $-4.5

2nd question: 32

3rd question: -27

Step-by-step explanation:

1st question:

Alan's octopus is $-7 dollars right now. After reloading $50 dollars in, it just means that he put $50 dollars in. We can work it out like this:

-7+50=43 (you can switch the equation around but the sign has to go with it: 50-7)

Now Alan's octopus has $43 in it. It then says that Alan spends $48.5 for a really expensive pencil case. You can calculate it like this:

43-48.5=-4.5 (43-48.5 is the same as 43.0-48.5 and you can work it out on a number line).

This leaves Alan's octopus to only have $-4.5 which means he is in debt again.

2nd question:

I can make it out that it says: Tony adds -18 to +50. Find the results (I hope I saw it right). The equation of it would look like:

-18+50 or you can flip it around but the sign has to go with them like in question one which will look like this: 50-18=32. So the result of Tony's problem is 32.

3rd question:

Patty subtracts +11 from -16. Find the results.

First of all don't do this 11-16 because that would be 16 subtracted from 11 which is wrong because 1, the sign completely disappears unless you make it -16 plus 11 and 2, it's order would be incorrect. The correct equation should look like this:

-16-11=-27 ( -16-(+11) positive combined with negative is negative).

You can think of it like this: If it's the same sign that's addition or subtraction eg. -4-2 or +6+8, you just add it up together and put the sign in front which you would not have to do for the addition one unless you are asked to.

I hope you find this helpful!

The variable  a. model of automobile is Qualitative b. flavor of ice cream is Qualitative c. religious denomination is Qualitative d. test score out of 100 is Quantitative e. miles per gallon of gasoline is  Quantitative f. top three television networks is Qualitative g. length of birth contraction in seconds is Quantitative.

The Quantitative variable is defined as the variable which takes numerical value. for eg. 2mph, 90 , 34m.

The Qualitative variable is defined as the variable which takes values such as name/label etc. for eg, john , smith , Toyota ,vanilla.

According to the question

        VARIABLE                           CATEGORY              CLASSIFIED              

a. model of automobile               Qualitative         on the basis of name

b. flavor of ice cream                   Qualitative         on the basis of name

c. religious denomination            Qualitative         on the basis of name

d. test score out of 100               Quantitative        on the basis of number

e. miles per gallon of gasoline   Quantitative        on the basis of number

f. top three television networks  Qualitative          on the basis of name.

g. length of birth contraction      Quantitative        on the basis of number.

  (in seconds)  

Therefore , The variable  a. model of automobile is Qualitative

b. flavor of ice cream is Qualitative

c. religious denomination is Qualitative

d. test score out of 100 is Quantitative

e. miles per gallon of gasoline is  Quantitative

f. top three television networks is Qualitative

g. length of birth contraction in seconds is Quantitative

Learn more about Qualitative & Quantitative variable here https://brainly.com/question/1978633

#SPJ4

Based on the fact that the correlation coefficient was 0.1 in the plot of Bacteria versus Time, the reason is B. The bacteria have grown at an exponential rate and a line poorly fits the data.

The correlation coefficient shows the relationship between two variables. It is between -1 and 1 and figures closer to 0 denote a weak correlation.

In this instance, Bacteria is known to increase exponentially which means that a linear regression model would make a line that poorly fits the data. This would lead to a low correlation coefficient when it should instead be high.

Find out more on the correlation coefficient at https://brainly.com/question/27842223

#SPJ1

Answer:

angles 1 and 5

Step-by-step explanation:

The two angles are said to be adjacent angles when they share the common vertex and side.

so angles 1 and 5 are adjacent angles

With the help of the Magnitude formula, we can say that Magnitude of 1st vector is more than the 2nd vector.

A vector is an object that has both magnitude and direction. To find the size of a vector, we need to calculate the length of the vector. Variables such as velocity, distance, force, and momentum are vector variables. But velocity, mass, distance, volume, temperature, etc. is a scalar quantity. A vector has both magnitude and direction, while a scalar has only one magnitude.

The Magnitude of a vector is the length of the vector. The Magnitude value of vector a is represented by ∥a∥.

For a two-dimensional vector a= (a1, a2), the formula for its Magnitude is written below.

By using the Magnitude formula, we can say that Magnitude of 1st vector is more than the 2nd vector.

More vector-related questions are below:

https://brainly.com/question/13322477?referrer=searchResults

#SPJ4

Answer:

[tex] \sf \: \frac{41}{4} q + \frac{ - 5}{2} [/tex]

Step-by-step explanation:

Let's simplify step-by-step.

−3/2(−3/2q+5/3)+8q

Distribute:

=(−3/2)(−3/2q)+(−3/2)(5/3)+8q

=9/4q+−5/2+8q

Combine Like Terms:

=9/4q+−5/2+8q

=(9/4q+8q)+(−5/2)

=41/4q+−5/2

Answer:

y = 4x + 5

Step-by-step explanation:

hope this helps !!

the equation is " y = (slope)x + (y-intercept) "

The value of the expression e⁻⁴ is 0.0183 to four decimal places.

We are given the expression:

e⁻⁴

We need to evaluate the expression to four decimal places.

Now, we know that the value of e is:

e = 2.71828182846

Now, e⁻⁴ can also be written as:

e⁻⁴ = 1 / e⁴

Substituting the value of e, we get that:

1 / e⁴ = 1 / (2.71828182846)⁴

= 1 / 54.5981500331

= 0.0183156389

Now rounding off to 4 decimal places, we get that:

= 0.0183

Therefore, the value of the expression e⁻⁴ is 0.0183.

Learn more about decimal here:

https://brainly.com/question/1827193

#SPJ4

Answer: 9

Step-by-step explanation:

Answer:

2√6(Decimal: 4.898979)

Step-by-step explanation:

−9√24+2√600

=2√6(Decimal: 4.898979)