HELP ASAP

A pair of equations is shown below:

y = 2x + 9
y = 4x − 3

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)

Your answer:

Answers

Answer 1

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).


Related Questions

HELP PLZ NEED HELP WITH ALL THE Q's IT DUE TODAY

Answers

I can’t see the picture sorry

Find the slope of the graph below. Help fast

Answers

Answer:

2x

Step-by-step explanation:

(5,5) is a point (I reckon it is from the screenshot you sent at least)

(0,-5) is a point

-5 - 5 = -10

0 - 5 = -5

-10/-5

Slope = 2x

Answer:

Two Possible Points:

5,5 and 6,7

7 - 5         2

____ = _____ = your slope is 2

6 - 5          1

When picking two points subtract the y(rise) from eachother first which will be your numerator and the x(run) from eachother in the same exact way you subtracted to the y which will be your denominator.

Someone help me ASAP with 19 and 20 please and thank you

Answers

she wasn’t correct it’s 3x+6 because 3 x 2 and 3 x X Brett wasn’t correct it would be 2 x 3 squared which is 2 x 9 which is 18 and 18 + 5 = 23

PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!

Answers

Answer:

Step-by-step explanation:

its about 263.08!

Answer: about 263.08 sq meters (choice C)

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

Explanation:

We'll use this formula

S = (x/360)*A

where,

S = area of pie slice, aka sectorx = central angle in degreesA = area of full circle

We'll plug in S = 85.5 and x = 117 to find solve for A.

S = (x/360)*A

85.5 = (117/360)*A

85.5*(360/117) = A

A = 85.5*(360/117)

A = 263.076923076923 which is approximate

A = 263.08 square meters (choice C)

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

Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.

which of the following numbers is greater than 7.03?

A:7.031

B: 7.030

C. 7.003

D. 7.0

Answers

Answer:

A:7.031

Step-by-step explanation:

both 7, but 7.031  has 031.  7.03  only has .03.

⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?

Answers

Answer:

Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)

Answer:

x = y/2+1/2

Step-by-step explanation:

Simplify the equation, leaving X on one side, giving you x=y/2+1/2.

Between which interval is the charge a fixed rate?

Answers

Answer:

m

Step-by-step explanation:

grbdytjtyhdyt 2nd option 4-8

If x = 2, what is the value of 5x + 3?
A. 7
B. 10
C. 13
D. 55

Answers

Answer:

C)

Step-by-step explanation:

5 times 2 equals 10

add 3

the total comes up to 13.

3+2(15-11)

The first thing I did was

Change the (-) to a (+)

2) 2*15 = 30
3) change the 11 to -11
4) 2*11 = -22
5) 3+30+(-22) = ?

Answers

First solve the bracket
3+2(4)

Then multiply with 2
3+2*4
3+8

Then add 3 and 8
11

Step-by-step explanation:

3 + 2(15 - 11)

Step 1: use distributive property

2 x 15 = 30

2 x -11 = -22

3 + 30 + (-22)

3 + 30 - 22

Step 2: using PEDMAS, add the first two numbers

3 + 30 = 33

33 - 22

Step 3: subtract the last two numbers

33 - 22 = 11

Please help me I don’t understand it and I really need help.

Answers

Answer:

b

Step-by-step explanation:

jada made a four sided shape with two pairs of parallet lines four right angles

which two shapes could Jada have made ​

Answers

D is your answer I think

Step-by-step explanation:

D is your answer

[tex]\green{ HELLO }[/tex]

the price of 1 toy car is $ 3, how much profit would a person have if he bought 4 of these cars and sold them for $ 5 in four?
♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​♛​​

Answers

Answer:

Profit earn from selling all four cars = $8

Step-by-step explanation:

Given:

Purchase price of toy car = $3

Number of car purchases = 4

Selling price of each car = $5

Find:

Profit earn from selling all four cars

Computation:

Total amount of purchase = 3 x 4

Total amount of purchase = $12

Total amount of sales = 5 x 4

Total amount of sales = $20

Profit = sales cost - purchase cost

Profit earn from selling all four cars = 20 - 12

Profit earn from selling all four cars = $8

Answer:

$8

hello

Step-by-step explanation:

knk ayşe bana burdan yaz tm

(senin hesap silinmiş(türkiyedeki))

Letx be the profit of a company and let y be the amount the company owner mais, both in thousands of dollars. The graph shows the relationship
been x and y. Which equation describes this relationship?

Answers

Answer:

0.6x

Step-by-step explanation:

take 2 points: (0,0) (5,3)

Write it in slope intercept form:

y = 3/5x

3/5 = 0.6x

answer: 0.6x

i hope this is right

Please Helpp

A boy is flying a kite. The length of the string is 61 meters and the
horizontal distance between the boy and the kite is 60 meters. Assuming
there is no slack in the string, find the height of the kite from the ground.
kite
61 m
?
boy
60 m
OB) / 179 cm
OA) 165 m
OC) 50 cm
OD) 11 m

Answers

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

Becky can wash 15 dishes in 5 minutes. How many dishes will she be able to wash in 8 minutes?

Answers

Answer:

24 is correct answer

Step-by-step explanation:

its a 5:15 ratio, you are finding 8:x

8/5=1.6-> 1.6 x a5 = 24

Answer:

24 plates

Step-by-step explanation:

If she can wash 15 dishes in 5 minutes you just need to figure out how many dished she can washe in 1 minute. so you are gonna divide 15 by 5 and get 3 because 3 times 5 equals 15. so then that means she can wash 3 plates in 1 minute. so if she washed 15 in 5 in 6 minutes she can wash 18 and in 7 minutes she can wash 21 and in 8 minutes she can wash 24. Your just adding 3 to the 15 for every minute.

find the vertex of y=-x²-4x+12

Answers

the vertex is (-2, 16)

pls pls plssss help I really need this. if you can pls explain too

Answers

Answer:

dpr,rpd

Step-by-step explanation:

thats the answers at least i think thats for first.

Answer:

1) ∠P, ∠DPR, ∠KPR, ∠RPD

2) x = 111°

3) x = 5

4) m∠3 = 72°

Step-by-step explanation:

1) All of the angles display ∠P, you will noticed this if you go from the first letter point and it goes to ∠P and to the last letter point with only including ∠P.

2) I already solved this one in a different post of yours. Subtract all known values from 180° to get your answer.

3) Use the same principle knowing that all sides of a triangle add up to 180°. Add all of the angles together, set the equation to 180 and solve for x.

4) By the Alternate Exterior Angles Theorem, If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Therfore, m∠6 ≡ m∠2, and we know m∠2. Solve by subtracting 108° from 180° because angles on the same line add up to 180°.

Question 2 (5 points)
Write the expression with fewer terms.
10x – 3y + 2x

Answers

Answer:

12x - 3y

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x

Hellppp please ill give brainlesst

Answers

Answer: I got this-- its me again..  It's D again- I explained this time tho-

Step-by-step explanation:

2 cm represents 100 miles, then 1 cm represents 50 miles and .5 cm represents 25 miles.

Town A = 175 miles from town B.

Town C = 100 miles from town B.

SO, Town A is 175 miles + 100 miles = 275 miles from town C.

HELP ASAP!!! WILL MARK BRAINLIEST

50x^4 - 20x^2 + 1 = 0

1. Write the equation in quadratic form
2. Identify the U
3. Write in U-Substitution form
4. Which factoring method would you use to solve?

Answers

Answer:

50x⁴ - 20x² + 1 = 0

1. Quadratic form

50(x²)² - 20x² + 1 = 0

2. U is

x² = u

3. U- substitution

50u² - 20u + 1 = 0

4. Find the discriminant and identify roots

d = (-20)² - 4*1*50 = 200u = (20 ± √200)/100u = (2 ± √2)/10

Solve for x

x² = (2 ± √2)/10x = ± √((2 ± √2)/10), four roots

please answer this question​

Answers

Step-by-step explanation:

[tex]a) \: - \frac{3}{7} a \: \: \times \: - \frac{21}{15} b[/tex]

[tex] = \frac{ 3}{5} ab \: (ans)[/tex]

[tex]b) \: 3xy(5 {x}^{2} {y}^{2} - 4yz)[/tex]

[tex] = 3xy \times 5 {x}^{2} {y}^{2} - 4yz \times 3xy[/tex]

[tex] = 15 {x}^{3} {y}^{3} - 12x {y}^{2} z \: (ans)[/tex]

Please help me with this.

Answers

Answer:

maybr 6,9,0

Step-by-step explanation:

What is the area of 9yd and 14yd

Answers

126 yards

Step-by-step explanation:

Nine times fourteen is one hundred and twenty six

126 yards squared
Just multiply 9*14

5=97 find 2 and 4....................,,..,...

Answers

Answer:

∠ 2 = ∠ 4 = 83°

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side interior angles and sum to 180° , that is

∠ 2 + 97° = 180° ( subtract 97° from both sides )

∠ 2 = 83°

∠ 2 and ∠ 4 are vertical angles and are congruent, then

∠ 4 = 83°

Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?
I need the right answer give brainliest

Answers

Answer:

each cd is 14.60

Step-by-step explanation:

45.30-1.50= 43.80

43.80÷3=14.60

Answer:14.30

Step-by-step explanation:

$14.30 per CD and .50 tax per Cd

simplify v + 4y + y + 2 + 6vy + -Y
A. 5v +3
B. SV +6W +2
с, буу2 +2

Answers

C. 6yy2 +2 Hope this helped!

please help me fast

Answers

Answer:

x = 9

y = 3

z = 3

Step-by-step explanation:

Triangle 1 (From the left):

5x + 7x = 13x - 9 (Sum of two interior angles of a triangle  is equals to exterior opposite angle)

Grouping like terms we have:

12x - 13x = - 9

x = 9

Triangle 2 (From the left):

30y = 90 (angles at a right angle = 90)

y = 3

Triangle 3 (From the left):

15z + 12z + 36 = 39z

36 = 39z - 27z

z = 36/12

z = 3

hey! i’ll give brainliest help thanks

Answers

Answer:

Option A, Look closely and you will observe a bright light

Step-by-step explanation:

The cause here is to look closely, if you don't look closely you wont see the bright light... Similarly if there is no cause there is no effect.

Hope this helps!

Use the given sequence to answer this following questions:
1, 6, 11, 16, 21, ...
1. Write a rule for the nth term of the arithmetic sequence. (Do not put any spaces between terms when writing the rule.)
2 find the tenth term.

Answers

Given:

The arithmetic sequence is:

[tex]1, 6, 11, 16, 21,...[/tex]

To find:

1. The rule for the nth term of the given arithmetic sequence.

2. The 10th term of the given arithmetic sequence.

Solution:

1. We have,

[tex]1, 6, 11, 16, 21,...[/tex]

Here, the first term is 1 and the common difference is:

[tex]d=a_2-a_1[/tex]

[tex]d=6-1[/tex]

[tex]d=5[/tex]

The nth term of an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=1,\ d=5[/tex], we get

[tex]a_n=1+(n-1)5[/tex]

[tex]a_n=1+5n-5[/tex]

[tex]a_n=5n-4[/tex]

Therefore, the nth term of the given sequence is [tex]a_n=5n-4[/tex].

2. We need to find the 10th term of the given arithmetic sequence.

From part 1 it is clear that the nth term of the given arithmetic sequence is:

[tex]a_n=5n-4[/tex]

Putting [tex]n=10[/tex], we get

[tex]a_{10}=5(10)-4[/tex]

[tex]a_{10}=50-4[/tex]

[tex]a_{10}=46[/tex]

Therefore, the 10th term of the given arithmetic sequence is 46.

PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=

Answers

Answers:

a = 2 and b = -4

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

Explanation:

Let's define the three helper functions

f(x) = ax^2 - bh(x) = 6j(x) = 5ax+b

which are drawn from the piecewise function. The g(x) function will change depending on what the input is.

If x < 1, then g(x) = f(x). If x = 1, then g(x) = h(x)If x > 1, then g(x) = j(x)

Since we want g(x) to be continuous at x = 1, this must mean the three functions f(x), h(x), j(x) must have the same output value when the input is x = 1.

Because h(x) = 6 is a constant function, the output is always 6 regardless of the input. Therefore, we want f(x) and j(x) to have 6 as their output when x = 1. Or else, the pieces won't connect.

Plug x = 1 into the f(x) function to get

f(x) = ax^2 - b

f(1) = a(1)^2 - b

f(1) = a - b

Set this equal to the desired output of 6 and we end up with the equation a-b = 6. Solving for 'a' leads to a = b+6.

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

We'll use the same idea for j(x)

j(x) = 5ax + b

j(1) = 5a(1) + b

j(1) = 5a + b

5a+b = 6

5(b+6) + b = 6 ... plug in a = b+6; solve for b

5b+30+b = 6

6b+30 = 6

6b = 6-30

6b = -24

b = -24/6

b = -4

Which then leads to,

a = b+6

a = -4+6

a = 2

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

Since a = 2 and b = -4, we go from this

[tex]g(x) = \begin{cases}ax^2-b, \ \ x < 1\\6, \ \ x = 1\\5ax+b, \ \ x > 1\end{cases}[/tex]

to this

[tex]g(x) = \begin{cases}2x^2+4, \ \ x < 1\\6, \ \ x = 1\\10x-4, \ \ x > 1\end{cases}[/tex]

Meaning

f(x) = 2x^2+4 and j(x) = 10x-4

You should find that plugging x = 1 into each of those two functions leads to 6 as the output.

The graph is shown below. Note the red graph f(x) is only drawn when x < 1. Similarly, j(x) is only drawn when x > 1. The orange point represents h(x) which only happens when x = 1. So as the name implies, the piecewise function g(x) is composed of pieces of the three functions f(x), h(x), j(x).

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