Select the correct answer from each drop-down menu.
Consider this system of equations.



The points representing the solution set of this system of equations are
and
.

Select The Correct Answer From Each Drop-down Menu.Consider This System Of Equations.The Points Representing

Answers

Answer 1

Answer:

(-2, -1) and (3, 14)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=x^2+2x-1\\y-3x=5&\text{add}\ 3x\ \text{to both sides}\end{array}\right\\\left\{\begin{array}{ccc}y=x^2+2x-1&(1)\\y=3x+5&(2)\end{array}\right[/tex]

Substitute (1) to (2):

[tex]x^2+2x-1=3x+5\qquad|\text{subtract}\ 3x\ \text{and 5 from both sides}\\\\x^2-x-6=0\\\\x^2+2x-3x-6=\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x=-2\ \vee\ x=3[/tex]

Substitute the values of x to the (2):

[tex]\text{for}\ x=-2\\\\y=3(-2)+5=-6+5=-1\\\\\text{for}\ x=3\\\\y=3(3)+5=9+5=14[/tex]


Related Questions

Can someone please help

Answers

Answer:

-3/4 is correct answer

h(x)= x^3 - 2x and g(x)= 3x +5 Find (h-g)(x)

Answers

Answer:

(h-g)(x) = x^3 - 5x -5

Step-by-step explanation:

h(x)= x^3 - 2x and g(x)= 3x +5

(h-g)(x) = x^3 - 2x -( 3x +5)

Distribute

(h-g)(x) = x^3 - 2x - 3x -5

Combine

(h-g)(x) = x^3 - 5x -5

Find the area of a rectangular park which is 18 3/5m long and 50/3m broad.​

Answers

Answer:

310 meter square

Step-by-step explanation:

Area of a rectangle = length x width

Area of the rectangular park = 18 3/5 x 50/3

                                                = 93/5 x 50/3

                                                = 930/3

                                                = 310 meter square

Write an equation that will satisfy the x and y values in the table below.

Answers

Answer:

The equation that will satisfy x and y values in the table is y = 2x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line that represents the equation b is the y-intercept, value y at x = 0

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

x1 = 0 and x2 = 1

y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]

m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

b = 3

→ Substitute the values of m, b in the form of the equation above

y = 2x + 3

The equation that will satisfy x and y values in the table is y = 2x + 3

7 years older than 2 times kates age what is the number if kate is 3

Answers

Answer:

13

Step-by-step explanation:

Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

Answers

Answer:

The answer would be A which is L

Answer:

so its A?

Step-by-step explanation:

{16
x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?

Answers

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?

a factor of all even numbers other than 1? pls answer quick​

Answers

Answer: 2

Explanation: 2 is a prime number that is a factor for all even numbers.

i will give brainlest

Answers

Answer:

Five

Step-by-step explanation:

Answer:

3(5-y)=4

Step-by-step explanation:

The following rectangle has an area of 3x^2-5x-12. What are the possible side lengths, in terms of x? Explain your answer and justify how you know that the sides you found are possible lengths

Answers

Answer:

the possible side lengths:

3x+4 and x-3

Step-by-step explanation:

factorize the the expression and you will get two expressions in terms of x. those expressions are the lengths of the rectangle

[tex]3 {x}^{2} - 5x - 12[/tex]

1) write -5x as a difference

[tex]3 {x}^{2} + 4x - 9x - 12[/tex]

2) factor out x from the expression 3x²+4x

[tex]x(3x + 4) - 9x - 12[/tex]

3) factor out -3 from the expression -9x-12

[tex]x(3x + 4) - 3(3x + 4)[/tex]

4) factor out 3x+4 from the expression

[tex](3x + 4)( x - 3)[/tex]

the possible lengths are 3x+4 and x-3

to check whether the answer is correct, you can just multiply the both lengths using the area of rectangle formulae

area of rectangle formulae

[tex]length \times height[/tex]

(3x+4)(x-3)

= 3x²-9x+4x-12

= 3x²-5x-12 ( proven )

which graph represents the equation (x-3)^2 + y^2 =16

Answers

Answer:

C

Step-by-step explanation:

Got it right

Answer:

Graph C

Step-by-step explanation:

Edge

Why do 25 ÷ 10 and 250 ÷ 100 give the same answer?

Answers

Answer:

One zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

Step-by-step explanation:

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=\frac{25}{10}=\frac{5}{2}[/tex]

[tex]250[/tex] ÷ [tex]100[/tex] [tex]=\frac{250}{100}=\frac{5}{2}[/tex]

Therefore,

[tex]25[/tex] ÷ [tex]10[/tex] [tex]=[/tex] [tex]250[/tex] ÷ [tex]100[/tex]

Here, 25 ÷ 10 and 250 ÷ 100 give the same answer.

Here, one zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]

HURRY PLEASEEE!!!! it’s due soon!!

Answers

Answer:

Cost for 2 hours= $19

Step-by-step explanation:

11+4t

Answer:

2 hours: $19

t hours: 4t+11

Step-by-step explanation:

you pay 4 dollars per hour so it would be 4t and the entry fee is 11, so you add them together.

What value of x is in the solution set of 9(2x + 1)< 9x-18?
O4.
O-3
) -2
)-1

Answers

Answer:

x < -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

9(2x + 1) < 9x - 18

Step 2: Solve for x

Distribute 9:                    18x + 9 < 9x - 18Isolate x terms:               9x + 9 < -18Isolate x term:                 9x < -27Isolate x:                          x < -3

Here we see any value x smaller than -3 would work as a solution to the inequality.

HELP!! I don't understand!

Answers

Answer:

it is triangle

Step-by-step explanation:

it has 3 side

thank me later

Why is the boxplot incorrect?
The following are the temperatures, in degrees
Fahrenheit, of 20 US cities on April 3rd. The boxplot
represents the data
42, 47, 48, 50, 50, 50, 51, 51, 52, 52, 54, 55, 55, 55, 56,
57, 58, 59, 59, 60
O The minimum temperature is 42°F, but the boxplot
shows 46°F.
O The maximum temperature is 60°F, but the boxplot
shows 66°F.
O The median temperature is 53°F, but the boxplot
shows 52°F.
O The first quartile temperature is 50°F, but the
boxplot shows 53°F.
April 3 Temperatures
46 48 50 52 54 56 58 60

Answers

Step-by-step explanation:

The minimum temperature is 42F, but the boxplot shows 46F

Answer:

A) The minimum temperature is 42°F, but the boxplot

shows 46°F.

Transitive Property of Congruence
If MN = LK and LK = OP, then

Answers

Answer:

If MN=LK and LK=OP, then MN= OP

Answer:

MN = OP

Step-by-step explanation:

solve for x parallel ​

Answers

I have this same question can you let me know when someone answer it

Name the property that justifies the following statement: If 2x + 4 = y and y = 3x - 6 then 2x + 4 = 3x - 6.

Answers

9514 1404 393

Answer:

  transitive property of equality

Step-by-step explanation:

The transitive property of equality says ...

  if a = b and b = c, then a = c.

Here, we can use this form with ...

  a = 2x+4

  b = y

  c = 3x-6

__

We have ...

  a = b   ⇒   2x +4 = y

  b = c   ⇒   y = 3x -6

so, ...

  a = c   ⇒   2x +4 = 3x -6 . . . . transitive property of equality.

_____

On the other hand, ...

The substitution property of equality says ...

  if a = b, we can use b wherever 'a' is seen.

We can use this with ...

  a = y

  b = 3x -6

and do the substitution in the equation ...

  2x +4 = y

Replacing y with its equal, we get ...

  2x +4 = 'a'   ⇒   2x +4 = 'b'   ⇒   2x +4 = 3x -6 . . . . substitution property of equality

_____

Additional comment

These are two different ways to say that anything can be replaced by its equal.

Which equations represent functions?
2x + 3y = 10
4x = 16
2x − 3 = 14
3y = 18
14.6 = 2x

Answers

Answer:

e represent a fraction happy to help

Multiple Choice!!!!!!What congruence theorem can you use to show that the two skateboard ramps have the same height?

Answers

Answer:HL

Step-by-step explanation:

P(x) = 2x3 – x2 + 4x + 5 is divided by x + 2. Choose the correct option from each drop-down menu.

When P(x) is divided by x + 2, the remainder is [ ] P(–2) = [ ]. The Remainder Theorem is [verfied/not verified] ]

Answers

The remainder of the division of polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) is; -23

The remainder of the division of the polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) can be evaluated by the remainder theorem.

This involves adding evaluating the value of the polynomial at, x = -2.

Since, (x +2) is the Divisor, we evaluate, P(x) at x = -2

Therefore, we have;

P(-2) = 2 ×(-2)³ -(-2)² + 4(-2) + 5

P(-2) = -16 -4 -8 +5

P(-2) = -23.

Therefore, the remainder when P(x) = 2x3 – x2 + 4x + 5 is divided by (x + 2) is; -23

Read more:

https://brainly.com/question/11456067

I'm new and a baby elefant

Answers

Answer:

cool

Step-by-step explanation:

Answer:

ok now h h h h h j j j m m n j oh g g g h j

NEED HELP ASSP!! please help!!??

Answers

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

5*[tex]\sqrt{3}[/tex] = Opp = x

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

The bar chart shows the percent of times each color marble was drawn from a bag after 1000 draws with replacement after each draw. If there are 20 marbles in the bag, predict how many are red, how many are blue, and how many are white. Explain your reasoning.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

In this question, the graph file is missing so, its solution can be defined as follows:

When the bag includes 20 marbles, each will be drawn 5% of the time on average.  

The bar chart shows that nearly 50% of the workforce red marbles are drawn, and about 25% of the time blue and white marbles are drawn. so, the equation is:

[tex]\to \frac{50\%}{5\%}= \frac{50 \times 100}{5\times 100}=\frac{50}{5} = 10 \ red \ marbles\\\\\to \frac{25\%}{5\%}= \frac{25 \times 100}{5\times 100}=\frac{25}{5} = 5\ blue \ marbles[/tex]

[tex]\to 5[/tex] white marbles are available in the bag.

The number of camera phones shipped globally can be modeled by the function y = 1.28e 1.31x where x is the number of years since 1997 and y is the number of camera phones shipped (in millions). How many camera phones were shipped in 2002? Please helpASAP

Answers

Answer:

895 million camera phones

Step-by-step explanation:

Since the function is modeled by;

y=1.28e^1.31x

Now between 1997 - 2002 we have 5 years. This means that x =5. So we have to substitute x = 5 into the function to obtain the number of camera phones shipped in 2002.

Therefore;

y=1.28e^1.31(5)

y = 895 million camera phones

The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.

• 18 students voted for chocolate
• 12 students voted for strawberry
• 20 students voted for vanilla

What percentage of the students chose vanilla as their favorite ice-cream flavor?​

Answers

Answer:

40%

Step-by-step explanation:

18+12+20=50

20/50×100=

40%

The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The rundown underneath shows the consequences of a review of the most loved frozen yogurt flavors among center school understudies.

18 understudies decided in favor of chocolate12 understudies decided in favor of strawberry20 understudies decided in favor of vanilla

The total number of students is given as,

Total = 18 + 12 + 20

Total = 50

Then the percentage of the students who chose vanilla as their favorite ice cream flavor will be given as,

P = (20 / 50) x 100

P = 0.40 x 100

P = 40%

The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of the following mixtures will take the same as super salad dressing
then it says choose 3 answers there's 5 choices a b c and d a is 80 ml of oil with 30 ml of vinegar

B is 3 ml oil with 8 ml of vinegar
C is 56 mL of oil with 21 mL of vinegar
d 40 mL of oil with 25 mL of vinegar
e is 48 mL of oil with 18 mL of vinegar ​

Answers

Answer:

e

Step-by-step explanation:

8ml x 6= 48ml of oil

3ml x 6= 18ml of vineger

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

p = √24

Step-by-step explanation:

5² = 1² + p²

25 - 1 = p²

p² = 24

p = √24

Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the length of his path to the nearest tenth of a foot

Answers

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle [tex]ABCD[/tex] as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}[/tex]

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