how many solutions does y = 5x - 8 and y = 9x - 8 have

Answers

Answer 1

The equation y = 5x - 8 and y = 9x - 8 have one solution at

(0, -8)

How to find the solution of the equation

The equation is solved simultaneously by elimination method as follows

y = 5x - 8

y = 9x - 8

subtraction the equations

0 = -4x - 0

-4x = 0

x = 0

substituting x = 0 into y = 5x - 8

y = 5x - 8

y = 5 * 0 - 8

y =0 - 8

y = -8

The solution of the equation is at the point (0, -8)

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Related Questions

WHAT IS THE OPPSIT OF 0

Answers

Answer:

0

Step-by-step explanation:

The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.

The answer here is 0

What is the value of the expression shown below?
-28+42-12+(-16) + 7

A.14
B. 7
C.-7
D.-14

Answers

Order of operations, add and subtract left to right
-28 + 42 - 12 +(-16) + 7
14 - 12 +(-16) + 7
2 +(-16) + 7
-14 + 7
-7

please help me with this!!

Answers

Answer: The answer is no, they are not proportional

Step-by-step explanation:

Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05

Man on cliff observes a boat at angle of depression of 30 which is approaching the shore at uniform speed. 6 minutes later, the angle of depression of boat is 60. Find time taken by boat to reach shore?

Answers

Answer:

Step-by-step explanation:

Let the speed be x km/h

Let the time be t

In △ADC,

tan30°=

h

xt

3

1

=

h

xt

h=  xt

In △ABD,

tan60°=

h

x(6+t)

h=  

x(t+6)

3​

xt=

x(t+6)

3t=6+t

t=3 seconds

∴ total time taken=6+3=9 seconds

A coin is flipped 200 times. The table shows the frequency of each event.


Outcome Frequency
Heads 98
Tails 102

Determine the experimental probability of landing on heads.
102%
98%
50%
49%

Answers

probability of landing on heads - 49 %

Answer:

49%

Step-by-step explanation:

Jackson picked apples for his family. He picked a total of 6 pounds. He took 2

3

4

pounds to his aunt and 1

7

8

pounds to his mother. How many pounds of apples were left to give to his grandmother? Use the numbers and symbols to write an equation that represents the problem, then solve the equation. Symbols may be used more than once or not at all.


2

3

4

1

7

8

6 y + =


PLEASE HELPPPPPPPP

Answers

"17/8" pounds of apples were left to give to his grandmother.

Since we have given that

The quantity of apples he picked is given by 6.1/2⇒13/2 pounds.

The quantity of apples he picked for his aunt is given by 2.3/4⇒11/4 pounds.

The quantity of apples he picked for his mother is given by 1.5/8⇒13/8 pounds.

So, the total quantity left for his grandmother is given by

first we have to add the quality of apples he picked for his aunt and the number of apples he picked for his mother.

After subtracting from what he picked.

⇒13/2-(11/4+13/8)

⇒13/2-(22+13/8)

⇒13/2-(35/8)

⇒52-35/8

⇒17/8

Hence, 17/8  pounds are left for his grandmother.

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The quadrilaterals ABCD and JKLM are similar.

Find the length x of JK.

B

K

A

U

S

3. 5

2. 1

3

M

2. 1 L

D

3

c

X

0

X 5 ?

Answers

The length x of JK is 3.6 units

Here, quadrilaterals ABCD and JKLM are similar.

We know that the corresponding sides of similar triangles are in proportion.

So, by definition of similar triangles,

AB/JK = BC/KL = CD/LM = AD/JM

To find:  the length x of JK

So, consider an equation

AB/JK = AD/JM

Substitute the length of each side in above equation.

4/x = 2/1.8

(4 × 1.8)/x = 2

(4 × 1.8)/2 = x

x = 2 × 1.8

x = 3.6

Therefore, the length of JK = 3.6 units

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n% of 400 = 150


please HELLPPP​

Answers

Answer:

150 of 400 can be written as:

150400To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

150400 × 100100= (150 × 100400) × 1100 = 37.5100Therefore, the answer is 37.5%

If you are using a calculator, simply enter 150÷400×100 which will give you 37.5 as the answer.

sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Answers

The number of books that Sofia read is 32 books and the brother read 8 books.

How to calculate the number of books read?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Let the number of books read by the brother = x

Number of books read by Sofia = 4x

Therefore, x + 4x = 40

5x = 40.

Divide

x = 40 / 5

x = 8

The brother read 8 books

Sofia read = 4x

= 4 × 8

= 32 books.

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Qasim is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Qasim have to pay for parking if he left his car in the lot for 6 hours? How much would Qasim have to pay if he left his car in the lot for t hours?

Answers

Answer:

23; 11 + 2t

Step-by-step explanation:

So let's start with the equation and then plug in the 6 hours:

Because we start with 11 dollars just to enter, our equation would start like this:

11 +

Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:

11 + 2t (2 dollars for every t, every hour)

So now the equation is 11 dollars starting entry plus 2 dollars every hour

Now all we have to do is replace t with the number of hours:

11 + 2(6) = answer

11 + 12 = answer

23 = answer

Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator

Answers

Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20

Step-by-step explanation:

1 3/4 = 7/4

Multiply top and bottom by 5 to get 35/20

1 4/5 = 9/5

Multiply top and bottom by 4 to get 36/20

What is the best explanation of irrational numbers?

Answers

The best explanation of Irrational Numbers is that , the numbers  that cannot be expressed as a ratio of integers are called as Irrational Numbers .

What are Irrational Numbers ?

The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.

For Example : [tex]\pi[/tex] is an irrational number as   [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.

Some Property of Irrational Numbers are :

(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.

(ii) The Irrational Numbers  are real numbers only.

(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.

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The distance that an object falls varies directly as the square of the time the object is in motion. If an object falls for 3​ seconds, it will fall 144. 9 feet. To estimate the height of a​ cliff, a person drops a stone at the edge of the cliff and measures how long it takes for the stone to reach the base. If it takes 3. 5 ​seconds, what is the height of the​ cliff?

Answers

As per the given equation the height of the cliff is 196.225 feet.

How to calculate the distance of an object in motion?

We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as [tex]d = kt^2[/tex] for some constant of proportionality k.

We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:

[tex]144.9 = k(3^2)[/tex]

k = 16.1

Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:

[tex]d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225[/tex]

So, the height of the cliff is 196.225 feet.

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For which values of x does each expression make sense? square root of x-2 over square root of x-3

Answers

the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

Expand.
This question is worth 50 points!

Answers

Answer:

the answer is (a) x² - 2hx + h²

Step-by-step explanation:

(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)

x² - hx -hx + h²

= x² - 2hx + h²

Answer:

A) x² - 2hx + h²

-----------------------------

Use the identity:

(a - b)² = a² - 2ab + b²

Substitute a = x, b = h to get:

(x - h)² = x² - 2hx + h²

This is the option A.

Decrease 520 by 60%.

Answers

Answer:

208

Step-by-step explanation:

60 percent of 520 is 312

520 subtract 312 is 208

Answer:

208

Step-by-step explanation:

(520)-60% of 520

(520)-3×104

520-312

=208

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

What is the midpoint formula of quadratic equation?

Answers

The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.

This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.

This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.

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12[6.3+3(1.9)] what comes first

Answers

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 12 × [6.3 + 3 × (1.9)]

Simplify the numerical expression, then we have

⇒ 12 × [6.3 + 3 × (1.9)]

⇒ 12 × [6.3 + 5.7]

⇒ 12 × 12

⇒ 144

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

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28 = 4/5x - 8 what value of x makes the equation true?

Answers

Answer:

1.6285

Step-by-step explanation:

28 = 4/5x-8

Cross multiply

140x-224=4

140x =224+4

140x = 228

x = 228/140

x = 1.6285

The length of an object in feet is equal to 3 times it's length in yards. The length of the boat is 36 feet. Write and solve a multiplication equation to find the length of the boat in yards

Answers

In linear equation ,The length of waterslide is 12 yards.

What in mathematics is a linear equation?

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

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that,

The length of an object object in feet is equal to 3 times it’s length in yards

The length of wall water side slide is 36 feet

Let "y" be the length of object in yards

From given,

Length in feet = 3 times length in yards

    36 =  3 * y

     3y = 36

    y = 36/3

     y = 12

Thus length of waterslide is 12 yards.

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Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers

Answers

Answer:

737

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2

b.we konw (A+2-A)×4-1=A+1, so A=6

therefore, the three Integer are 6, 7, 8.

A 5/44 lottery requires choosing five of the numbers 1 through 44. How many different lottery tickets can you choose

Answers

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:

[tex]nCr = n / (r(n-r))[/tex]

where n is the total number of options (43) and r is the number of choices (5).

so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]

Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

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The height (h) in meters, of an item d days

can be modeled using the equation, h(d) = 3(5/4)^x



What does the fraction 5/4

represent in this equation?

Answers

Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

Define numerator or denominator.

The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.

The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.

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(5 points) 2. The coordinates of the vertices of ARST are R(1, 6), S(5, 3), and T(3,-2). Triangle R'S'T' is the image of ARST after a reflection in x = -1. Graph and state the coordinates of the vertices of AR'S'T'.​

Answers

The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each other

Given are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).

The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -

R' (1, -6)

S' (5, -3)

T' (3, 2)

The graph is attached.

Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

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2. Use the Pythagorean Theorem to find x. Show your work!

Answers

The value of x using Pythagorean theorem is 14.05 units

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:

hypotenuse² = adjacent² + opposite²

In the diagram, using Pythagoras theorem:

22² = (x + 1)² + (x + 2)²

484 = x² + 2x + 1 + (x² + 4x + 4)

2x² + 6x + 5 = 484

2x² + 6x - 479 = 0

x = 14.05

The value of x is 14.05 units

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Is 9x2 42x 49 a perfect square trinomial?

Answers

No, 9x2 42x 49 is not a perfect square trinomial.

What is perfect squares?

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

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Convert 723.8 mm to cm.

Answers

Answer:

72.38

Step-by-step explanation:

When converting from mm to cm divide the length value by 10

Audrey has x pounds of red grapes and y pounds of green grapes. she has less than 5 pounds of grapes in all. which are reasonable solutions for this situation? check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)

Answers

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

What is Graph?

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will select a random sample of 100 adults from the target population to participate as subjects in the study. (a) One aspect of the study is to record the number of miles each subject walks per day. The researchers are deciding whether to have subjects wear an activity tracker to record the data or to have subjects keep a daily journal of the miles they walk each day. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.

Answers

(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.

(b) - The researcher can use the results of the study to make generalization to the entire population.

Bias

A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.

generalization

It is the tendency to respond in the same way to different but similar stimuli.

A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.

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Find the number of the degree of this polynomial.(please)

Answers

Answer:

2 is the highest degree because it's the only exponent

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