Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.

Answers

Answer 1

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)


Related Questions

The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalization valid?

Answers

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

graph 1 - clue 3

graph 2- clue 2

graph 3- clue 4

graph 4 - clue 1

Answer:

Graph 1 - Clue 3 / Kareem

the points fits neatly in between the rest of the plot

Graph 2 - Clue 2 / Paloma

same reasoning as above, located in the middleof the other points. but note that y and x are in switched order

Graph 3 - Clue 4 / Jonah

(25,10) fits just nice right in the middle of the other points. note that written as an ordered pair, or point, x has to be on the left side inside the parentheses

Graph 4 - Clue 1 / Genevieve

just fitting into the pattern on the lower right end of the plot

These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Need help with number one please

Answers

Answer:

answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.

Paul rolls a fair dice 174 times.
How many times would Paul expect to roll an odd number?

Answers

Answer:

87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times

Step-by-step explanation: hope this helps

Answer:

87 times

50% of the time

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6 numbers

1, 3, 5 are odd

3/6 in one roll

3/6 × 174 = 87

what do you means by. India gate

Answers

Answer:

The India Gate (formerly known as the All India War Memorial) is a war memoria)

Step-by-step explanation:

it's a place

The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi

Answers

Answer:

314 c m 2

Step-by-step explanation:i think i dont know (sorry)

there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x

Answers

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Simplify using the distributive property: 5(2x + 7). Show all of your work.

Answers

Answer:

10x + 35

Step-by-step explanation:

Given

5(2x + 7) ← multiply each term in the parenthesis by 5

= 5(2x) + 5(7)

= 10x + 35

Answer:

10x+35

Step-by-step explanation:

5×2x=10x

5×7=35

=10x+35

Why do some functions not have x intercepts?

Answers

The x-axis is defined by the equation y=0x+0. Since we see that our equation and that of the x-axis have the same slope, they will never intersect. So, to answer your question, any equation of the form y=b will have no x-intercept, except y=0, which will have infinitely many intercepts

Which of the expressions are equivalent to the one below? Check all that
apply.
2. (4+9)-(3.2)
A. (3.2)-(2.4) + (
29)
O B. (2+4). (2 + 9)-3.2
C. 2.4 +9-3.2
D.2.4+ (2.9) - (2.3)

Answers

Answer:

The answer is C because its the only one that adds up correctly

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the given expression as:

(4 + 9) - (3 . 2) = 13 - 3.2 = 9.8

Now, we can check which of the given expressions is equivalent to 9.8:

A.

(3 . 2) - (2.4) + (2.9) = 3.7

(not equivalent)

B.

(2 + 4) (2 + 9) -3 . 2 = 84.8

(not equivalent)

C.

2.4 +9 - 3.2 = 8.2

(not equivalent)

D.

2.4 + (2.9) - (2.3) = 3.0

(not equivalent)

Therefore,

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

Learn more about expressions here:

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The complete question.

Which of the expressions is equivalent to the one below?

Check all that apply.

(4 + 9) - (3 . 2)

A. (3 . 2) - (2.4) + (2.9)

B. (2 + 4) (2 + 9) -3 . 2

C. 2.4 + 9 - 3.2

D. 2.4 +  (2.9) - (2.3)

Nadia has a $15 gift card to an online music store. Each song at the store costs $0.99. The equation m = 15 - 0.99s represents the amount of money, m, Nadia has left on the gift card after buying 5 songs. a.


The independent variable is b.


How does the amount of money left on the card change for each extra song Nadia buys?


Show your work. and the dependent variable is​

Answers

Answer:

All I know is she had 10.05 left

An entreprenuer sold a damage fan for 4560 thereby incurring 20% on the cost price determine the cost of the fan

Answers

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

Please help the question is in the picture.

Answers

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

[tex]\theta[/tex] of [tex]300^{\circ}[/tex] [tex]r[/tex] of [tex]x[/tex]

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]

Need help quick someone help!

Answers

X = 6

To solve this problem, you multiply both sides by 3. Next you divide both sides by 2
X=6 is the answer to the question

A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit

Answers

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

Astronauts use a tool in space that weighs 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the nearest hundredth.

Answers

You need to convert 5 oz into grams.

1 oz = 28.3495 g

5 oz * 28.3495 g/oz = 141.75 g

Answer: 141.75 g

A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ

Answers

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

learn more about triangle here

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can someone please answer

Answers

Answer:

The answer is 49 degrees

Step-by-step explanation:

The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.

Answer:

x = 49 °

Step-by-step explanation:

These both angles are located at the straight line. So, the sum of both angles are 180 ° .

x + 131 ° = 180 °

subtract 131 ° from 180 °

x = 180° - 131 °

x = 49 °

OMG DUE IN 40 MINUTESSSS!!

Answers

Answer:

17 1/3 52/3

Step-by-step explanation:

3x+y=38

3x+2y=52

-y=14

y=-14

3x+-14=38

3x-14=38

3x=38+14

3x=52

3x/3=52/3

x=171\3

17 is a whole number then 1 divided by 3 . thus is x

MATH HELP PLEASE ANSWER ASAP

Answers

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

BRANLIEST FOR CORRECT ANSWER ASAP

Complete the statement about the tables below. Then, choose a rule for each.

x y
0 5
1 7.5
2 11.25
This table represents a(n)
relationship.

Rule:

x y
0 -6
1 12
2 30
This table represents a(n)
relationship.

Rule:

Answers

Answer:

Step-by-step explanation:

First rule:-  Each value of y after the first one is obtained by multiplying the previous  value by 1.5, ( Note  11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).

The relationship is : a(n) =  5 * 1.5^(n-1)

Second Rule:-  Note:-  12 - (-6) = 18 and 30 - 12 = 18.  So we add 18 to get the next term in this rule.

Relationship is : a(n) = -6 + 18(n - 1).

PLEASEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.

Step-by-step explanation:

Hope this helps and,

pls let me know if it was correct.

Why is this a function?
X Y
3. -1

0.
0
-3

-6. 2
(3 and 0 are both assigned to 0)

Answers

This is a function because each element in the domain has one and only distinct image in the co-domain.

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

The triangles shown below must be congruent.?

True or false

Answers

Answer:

True

Step-by-step explanation:

Angle-Angle-Side congruency

Answer:

A. True

Step-by-step explanation:

Since, two corresponding angles of the triangles are congruent. So, third angle will automatically be congruent. Hence, by AAA postulate both the triangles will be congruent. Therefore. Option A. TRUE is the correct answer.

What is the least number of apples that can be shared equally among either 6, 10 or 15 children?

Answers

Answer:

If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this

6 children 6 apples

10 children 10 apples

15 children 15 apples

A farmer has developed a new type of fertilizer. This new fertilizer costs 20
percent more to produce than the old fertilizer but has better results: The
same land now produces 25 percent more crops each year.
Which statement best describes one way the farm will be affected by using
this new fertilizer?
A. The farm's marginal cost for fertilizer will decrease.
B. The farm's marginal cost for fertilizer will increase.
C. The farm's opportunity cost for using fertilizer will decrease.
D. The farm's opportunity cost for using fertilizer will increase.

Answers

Answer:

A

Step-by-step explanation:

Marginal cost is the change in total cost as a result of increasing output by one unit

Marginal cost  = Δcost / Δquantity

0.2 / 0.25 = 0.8

The marginal cost would decrease because the change in output is higher than the change in total cost

Marginal benefit would increase

Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost

What is DM?

22 cm
30 cm
38 cm
76 cm

Answers

Answer:

38cm

Step-by-step explanation:

38 is the answer . hope it helps.

Answer:

c. 38 cm

Step-by-step explanation:

Please answer thiss!!!!

Answers

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

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