-12x - 17 = -89


i neeeed help

Answer: x=2, y=1

Step-by-step explanation:

The value of Square root √16 is equals to 4, and the number 16 is larger than the number 4 then 16 > √16.

Let the value of √16 be 4 then 16 > √16.

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The dimensions of the 1000-square-foot rectangular enclosure with the least amount of fencing should be 25ft by 40ft.

The amount of fencing needed can be calculated by getting the perimeter of each choice of dimensions.

Perimeter is defined as the distance that surround any two-dimensional shape. For a rectangle, the perimeter is given by the formula

P = 2l + 2w

Solving for the perimeter of each of the following choices:

F. 8ft by 125ft

P = 2l + 2w

P = 2(8) + 2(125)

P = 16 + 250

P = 266ft

G. 10ft by 100ft

P = 2l + 2w

P = 2(10) + 2(100)

P = 20 + 200

P = 220ft

H. 20ft by 50ft

P = 2l + 2w

P = 2(20) + 2(50)

P = 40 + 100

P = 140ft

J. 25ft by 40ft

P = 2l + 2w

P = 2(25) + 2(40)

P = 50 + 80

P = 130ft

The dimensions with the least perimeter will require the least amount of fencing.

Hence, a 1000 -square-foot rectangular enclosure, with dimensions 25ft by 40ft, will require the least amount of fencing.

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The total number of houses sold in January by Coventry Estates are 18.

As per the given question;

Let the total sales of the houses in January be 'x'.

In February they sold twice as many houses as in January.

February = 2x.

In March they sold 10 more houses than in February.

March  = February + 10

March  = 2x + 10

In April they sold half as many houses as in March.

April = March/2

April = (2x + 10)/2 = x + 5

The total sold houses = 123.

Add all the sold houses;

x + 2x + 2x + 10 + x + 5 = 123

6x + 15 = 123

On simplification;

x = 18

Thus, the total number of houses sold in January by Coventry Estates are 18.

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The solution of the differential equation as given in the task content is; ln(5p +a)/5 + C = t

It follows from the task content that the solution of the differential equation is required.

Given;

dp/dt=5p +a

To find; solution to the differential equation;

By variable separation; the resulting equation is;

dp/(5p +a) = dt

By integrating both sides of the equation; we have;

ln(5p +a)/5 + C = t

Ultimately, although both sides of the equation integrated yield a constant of integration as the integral is indefinite, the two constants have been combined into constant, C as in the equation above.

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[tex]9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}[/tex] =[tex]= 11\sqrt{2} - 5\sqrt{7}\\[/tex]

Given an Simplification :

[tex]9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}Now, \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2\sqrt{2}\sqrt{28} = \sqrt{2 \times 2 \times 7} = 2\sqrt{7}∴ 9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}= 9\sqrt{2} - 3\sqrt{7} + 2\sqrt{2} - 2\sqrt{7}= 9\sqrt{2} + 2\sqrt{2} - 3\sqrt{7} - 2\sqrt{7}= 11\sqrt{2} - 5\sqrt{7}[/tex]

Simplifying rational expressions entails lowering the value of a rational expression to its simplest form. A rational expression is simplified in the same way that fractions are simplified. When the numerator and denominator of a rational number have no common factor other than 1, we consider it to be its simplified version in fractions. The same method may be used to simplify rational expressions; the only difference is that polynomials are included in the fraction.

The procedure for conducting operations on rational expressions is same to that for fractions.

Simplifying rational expressions means reducing their value to their most basic form. Rational expressions are simplified in the same manner that fractions are.

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Answer:

it is the first option

Step-by-step explanation:

First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew

Answer:

A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \large{\frac{5}{8}} \: \div \large{\frac{5}{16}} \\ \\ = \frac{5}{8} \times \frac{16}{5} \\ \\ = \green 2 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

2

Step-by-step explanation:

(5/8) ÷ (5/16)

= (5*16) ÷ (8*5)

= 80 ÷ 40

= 2

Answer:

after 10days savannah will have 31 pennies

Step-by-step explanation:

arithmetic progression (AP)

(a1) started with, 5 pennies

common difference (d), 3 pennies

formula: Tn = a + (n-1)d

after 10 days, T10 = 5 + (10- 1)(3)

T10 =5 + 27

T10= 31

therefore after ten days savannah has 31 pennies

This ensures that the lines will be parallel since two lines that are perpendicular to one another must also be parallel.

Two lines that meet or cross at right angles (90°) are known as perpendicular lines in geometry. The word "perpendicular" comes from the Latin "perpendicularis," which denotes a plumb line.

We can write two lines, AB and CD, as AB ⟂ CD if they are perpendicular to one another. The lines are denoted as being perpendicular by the ⟂ symbol.

The following list includes the two main characteristics of perpendicular lines.

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By algebraic simplification, the expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to the expression 2 · b.

In this question we need to simplify the division of two expressions that comprises powers and square roots, the complete procedure requires the use of algebra properties:

The expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to 2 · b.

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Answer:

25

Step-by-step explanation:

180 - 25 = 155

180 - 155 = 25

Answer:

x=3/5y-9/5

Step-by-step explanation:

Answer:

5x=7y-4y-9

5x=9-3y

[tex]\frac{5x}{5}[/tex]=[tex]\frac{9-3y}{5}[/tex]

[tex]x=\frac{9-3y}{5}[/tex]

The width of the message as shown in the image attached is 3 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the width of the message. The area of the postcard is 24 square inches, hence:

(b + 3)4 = 24

4b + 12 = 24

b = 3

The width of the message as shown in the image attached is 3 inches.

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The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches

Given data

diameter of the table = 3 feet

hang down dimension = 5 inches

sew down dimension = 1 inch

width of rectangular fabric = 60 inches

The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2

required radius of cloth

= radius of the table + hang down dimension + sew down dimension

= 3 feet / 2 + 5 inches + 1 inch

= 1.5 * 12 inches + 5 inches + 1 inch

= 18 + 5 + 1

= 24 inches

Area of required cloth

= pi * 24^2

= 1809.557 square inches

Area of fabric =  Area of required cloth

length * wide = 1809.557 square inches

length * 60 = 1809.557 square inches

length = 1809.557 / 60 square inches

length = 30.159 inches ≈ 30 inches

Therefore option H which is 30 inches is the answer

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The 32nd term of the arithmetic sequence AP is calculated to be 240.

In mathematics, an arithmetic progression (AP) is a list and possibly sequence of numbers where each term is collected by adding a sequence towards the term before it.

Finally, here is the answer to the question:

The following are the numbers with in displayed sequence:

23,30,37,44, ...........

The 32nd number in the series must be investigated because it contains 32 terms.

The common difference between two consecutive terms of an AP that are equal is denoted by the letter 'd.'

Let's consider the first term is'a₁' = 23.

Let's consider 'a₂' = 30 is the second term.

Let's consider the third term is 'a₃' = 37.

Substitute the values the above obtained equation; the 32nd term is-

d = a₂ - a₁  

Estimate the common difference;

d = 30 - 23

d = 7

Substitute the values in the next formula; the 32nd term is

The formula given will estimate the nth term equation;

nth term of an AP: an = a + (n - 1) d

Total number of terms ; n = 32

Initial term is a = 23

Common difference d = 7

Substitute the given values in nth term formula;

a₃₂ = a + (n - 1) d

a₃₂ = 23 + (32 - 1)(7)

a₃₂ = 23 + 217

a₃₂ = 240

Thus, the 32nd term value of the given arithmetic sequence is estimated to be 240.

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The reactants in the chemical equation C7H16 + O2 = CO2 + H2O have a total of 7 atoms in them.

The chemical formula of a compound indicates how many atoms are present in the substance.

The number of atoms of each element present in a molecule is noted in a chemical formula.

The answer to this query provides the following description of the chemical interaction between heptane and oxygen:

O2 + C7H16 = CO2 + H2O

Hexane's chemical composition reveals that the reactant side of the reaction has 7 carbon atoms.

Therefore, there are 7 atoms total in the reactants of the chemical equation C7H16 + O2 = CO2 + H2O.

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Answer: -50

Step-by-step explanation:

2a-2a+5c

2(-3)-2(-3)(-4)+5(-4)=

-6-24-20=-50

For an analysis of variance comparing four treatments, msbetween = 12. The value of ssbetween is 36.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Finding the mean will allow you to compute the population's variance (the average). Squaring the result after deducting the mean from each data point in the sample. The outcomes are squared to make the adverse findings positive.

Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value.

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Answer:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Using proportions, the coordinates of the point C that partitions segment HE in the ratio of 2:3 are found according to the following equation:

C - H = 2/5(E - H).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have point C that partitions segment HE in the ratio of 2:3, hence it is 2/5 of the way from H to E, and the rule is given by:

C - H = 2/5(E - H).

Then:

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How do you find equivalent expressions?

Image result for what is equivalent to (5x/6)

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

The missing values of the table are a=7, b=18, c=15, d=13, e=42 and  f= 21

We can easily  complete the give table using simple addition and subtraction

            Monday   Tuesday    Wednesday    Total

Year 7       7               18                   13.               38

Year 8     14              15                    13                42

Total        21              33                   26               80

The correct question is 80 students visited the library

over three days. The two-way

table shows some information

about these students.

             Monday   Tuesday   Wednesday   Total

Year 7           a               b                    13.          38

Year 8         14               c                      d          e

Total            f              33                    26          80

Complete the table.

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If Mrs. Chavez put $8,000.00 in her IRA savings account that offers 8.62% interest compounded annually, then she will earn $3136 interest at the end of the 4 years

Total invested amount = $8000

Interest rate = 8.62%

The interest is compounded annually

Time period = 4 years

We know

[tex]A=P(1+\frac{r}{100})^{t}[/tex]

Where,

A = Final amount

P = Principal

r = Interest rate

t = Time period

Substitute the values in the equation

A= [tex]8000(1+\frac{8.62}{100})^{4}[/tex]

A= $11136

Compounded interest = 11136-8000

=$3136

Hence, If Mrs. Chavez put $8,000.00 in her IRA savings account that offers 8.62% interest compounded annually, then she will earn $3136 interest at the end of the 4 years

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The difference of two positive integers is sometimes positive.

For example the difference of 3 and 5 will give a value of -2. This is negative.

On the other hand, the difference of 10 and 6 is 4. Therefore, this is positive.

Therefore, the difference of two positive integers is sometimes positive. It can also be negative.

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The hypotenuse of the right triangle is the diameter of the circle then the circumference of the circle is 17[tex]\pi[/tex] centimeters.

The midpoint is the point in the middle of a line segment in geometry. It serves as the segment and endpoint centroid because it is equidistant from both endpoints. The segment is cut in half.

The diameter of the circle is the hypotenuse of the right triangle.

Use the Pythagorean Theorem to find the diameter.

By using Pythagorean theorem we get

[tex]$$c^2 = a^2 +b^2[/tex]

substituting the values in the above equation, we get

[tex]$$c^2 = 8^2 +15^2[/tex]

simplifying the equation

[tex]$$c^2[/tex] = 289

c = 17

The diameter of the circle is 17 cm.

The circumference C of a circle is given by C = [tex]\pi[/tex] d.

Circumference of a circle = [tex]\pi[/tex]d

=  [tex]\pi[/tex] (17) = (17) [tex]\pi[/tex]

Therefore, the circumference of the circle is 17[tex]\pi[/tex] centimeters.

The correct question is:

Find the exact circumference of each circle by using the given inscribed or circumscribed polygon.

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Making a perpendicular bisector on the segment that gives the half length of AB

Given that,
here are 2 points in the plane. Explain how to construct a line segment that is half the length of AB is to explain.

A line can be defined by the shortest distance between two points is called as a line.

Here,
Two points are given on the plane,
Draw line segment joining these two points on the plane,
Now with help of a compass draw a perpendicular bisector on the line, that bisects the segment into two equal halfs.

Thus, making a perpendicular bisector on the segment that gives the half length of AB

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Answer:

¯＼_(ツ)_/¯

Step-by-step explanation:

x(2x+4)+7(2x+4)[3x-6]=0

(2x^2 + 4x + 14x + 28)(3x-6)=0

(2x^2 + 18x + 28)(3x-6)=0

3x(2x^2 + 18x + 28) -6(2x^2 +18x + 28)=0

6x^2 + 54x^2 + 84x - 12x^2 - 108x - 168 =0

6x^2 + 54x^2 - 12x^2 + 84x - 108x - 168 =0

48x^2 - 24x - 168 =0 {quadratic equation}

f (-1) =  12/5 the output for the given input .

How can you tell whether a function is linear or not?

f(x) = -12x/5

Put x = -1    ⇒   - 12 * -1 /5

                ⇒  12/5

Therefore f (-1) =  12/5

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