9. Find the point of intersection of the lines: y = 4x + 1 and y = - 2x + 4 A. (2,9) B.(1/2,3) C. (1,2) D. (1/4,2)

Answers

Answer 1

Step-by-step explanation:

y = 4x + 1 and y = -2x + 4

4x + 1 = -2x + 4, 6x = 3, x = 0.5

When x = 0.5, y = 4(0.5) + 1 = 3.

The point of intersection is (0.5, 3). (B)

Answer 2

Step-by-step explanation:

y = 4x + 1

A.(2,9)

y = 4(2) + 1 = 9

y = 9.

y = 4x + 1

9 = 4x + 1

9 - 1 = 4x

8 = 4x => x = 8÷4 = 2

x = 2.

y = -2x + 4.

A.(2,9)

y = -2(2) + 4 = 0

y = 0.

y = - 2x + 4

0 = -2x + 4

0 - 4 = 2x

0 = 2x => x = 0 ÷ 2 = 0

x = 0.

y = 4x + 1

B.(1/2, 3)

y = 4(1/2) + 1

y = 4 ÷ 2 + 1 = 3

y = 3.

y = 4x + 1

3 = 4x + 1

3 - 1 = 4x

2 = 4x => x = 2 ÷ 4 = 1/2

x = 1/2.

y = - 2x + 4

B.(1/2, 3)

3 = - 2x + 4

3 - 4 = - 2x

- 1 = - 2x => x = 1/2

x = 1/2.

y = - 2x + 4

y = - 2(1/2) + 4

y = -2(0.5)+ 4

y = -1 + 4 = 3

y = 4x + 1

C.(1,2)

y = 4(1) + 1 = 5

y = 5.

y = 4x + 1

5 = 4x + 1

5 - 1 = 4x

4 = 4x => x = 4÷4 =1

x = 1.

y = -2x + 4

C.(1, 2)

y = - 2(1) + 4

y = - 2 + 4 = 2

y = 2.

2 = -2x + 4

2 - 4 = - 2x

- 2 = - 2x => x = 2÷2 = 1

x = 1.

y = 4x + 1

D.(1/4, 2)

y = 4(1/4) + 1

y = 4(0.25) + 1

y = 1 + 1 = 2

y = 2.

y = 4x + 1

2 = 4x + 1

2 - 1 = 4x

1 = 4x => x = 1/4

Point A is the point of intersection of the lines.


Related Questions

40.54-29.63
Math problem
Hey

Answers

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Enter a range of values for x.

Answers

Can you give a picture of whatever your asking ?

Please answer, fifteen pts!

8x -4 < -36.

Please explain/show work!

Answers

8x - 4 < -36 <=>

8x < -36 + 4 <=>

8x < -32 <=>

x < -32/8 <=>

x < -4

find the inverse of this function and verify by using the composition of functions

f(x)= -3/x-3

Answers

Answer:

f(x)^-1 = 3x-3/x

Step-by-step explanation:

f(x) =-3/x-3

y= -3/x-3

x=-3/y-3

-3= (y-3)x

-3= xy-3x

-xy=-3x + 3

y= -3x +3/x

y= 3x-3/x

f(x)^-1 = 3x-3/x

△JLK∼△PQR. Find the value of x.

Answers

Answer:

x = 30 is the answer

Step-by-step explanation:

proportions

Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES

Answers

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.

Answers

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Jeff bought 1.5 pounds of pork and 2.5 pounds each of beef and chicken. What was the total cost of the meat Jeff bought? Type of Meat Cost per Pound Beef $5.99 Chicken $4.79 Pork $3.64 Drag the numbers to complete the statement about what you need to find. Numbers may be used once, more than once, or not at all. 3.5231.52.514 Find the total cost of pounds of beef, pounds of chicken, and pounds of pork.

Answers

Answer:

$32.41

Step-by-step explanation:

Given that:

[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

Write an equation in slope-intercept form of the line that passes through (0,6) and (3, -3).

Please help :(

Answers

Answer:

y=-3x+6

Step-by-step explanation:

(y-y1)=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(-3-6)/(3-0)

m=(-9)/(3)

m=-3

(choose whichever point for the first formula, i will be using(0,6))

(y-6)=-3(x-0)

y-6=-3x

y=-3x+6

this is kinda confusing can someone help explain!!

Answers

Answer: all i can say is this for an edu guess

2 6 and 4 would be 40 or 30

3 5 and 7 would be 110 or 120

8 would be 20 or 10

also this was the first answer

Answer:

0

Step-by-step explanation: Angle 1 and 3 would be equal to 110 degrees because they are vertical

Angle 2 would be 70 degrees because a straight line is 180 degrees so you do 180 - 110 to get 70 degrees for angle 2

Angle 4 would be the same as angle 2 since they are vertical so angle 4 is 70 degrees

Angle 5 is corresponding to 1 so they will have the same angle

Angle 6 is corresponding to 2 so they will have the same angle

Angle 7 is vertical to 5 so they will have the same angle

Angle 8 is vertical to 6 so they will have the same angle

Angle 1 - 110

Angle 2 - 70

Angle 3 - 110

Angle 4 - 70

Angle 5 - 110

Angle 6 - 70

Angle 7 -110

Angle 8 -70

Lol sorry this took long to type hope this helps dude ! ^-^

Hey guys i need help asap, here’s the problem (j-5)(5)

Answers

Answer:

5j-25

Step-by-step explanation:

Answer:

5j - 25

Step-by-step explanation:

Distribute #5 among j and -5

evaluate: 1: 80-4(2)divided by 8. 2: 92.3-(3.2 divided by 0.4) x 2(3) 3: {(2(3) x2.5) divided by 1/2} + 120. 4: [20+(2.5x3)]-3(3). 5: [(2x 10(0)) divided by 1/3] +8

Answers

30 hope the helps that d


Graph each function. State the domain and range.

f(x)={(-x-2 if x>0),(-x if x<=0):}

Please help me will give brainillest is work is shown. thank you !!!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

For values of x less than zero, the graph of the function is a graph of the line

  y = -x

Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).

__

For values of x greater than 0, the graph of the function is a graph of the line

  y = -x -2

This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.

what is the greatest factor (GCF) of 66 and 22

Answers

Answe

22 is your answers ....

What is the value of the expression

s(8-2)/t

when s=0.5 and t= 2

A 0.5
B 1
C 1.5
D 2

Answers

Answer:

C. 1.5

Step-by-step explanation:

replace the values in the equation with the values given.

Answer:

I think it will be C. 1.5

Mini muffins are also sold at Muffin Mart. Each mini muffin is sold for $0.35. Diego has $3.00 for mini muffins. How many mini muffins can he buy with $3.00? *

Answers

Answer:

I agree with both.

Step-by-step explanation:

If it's $3 per dozen that would be $0.25 per muffin because

3÷ 12 = 0.25

And if Andre has $2 than he can only afford 8 muffins because

0.25 x 8 = 2

And if Elena wants 16 muffins

16 x 0.25 = 4

So she will have to pay $4.

Hope this makes sense and helps!

Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $300. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price? ​

Answers

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

5765/574

Step-by-step explanation:

there u go lol

What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

Simplify (9.5)(−2)(−5). (1 point)

Answers

Answer:

95

Step-by-step explanation:

I hope this help

(-19)×(-5)

why is b the answer ???????????????????/

Answers

Answer:

Step-by-step explanation:

its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance

y = 4 * -3 + 2

= -10

the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,

y = 4 * 7 + 2

= 30

but the value y corresponding to the value of x we used is not 30

HOPE IT HELPED


PLS HELP TON OF POINTS AND BRAINLIEST

Answers

Answer:

sss axiom

Step-by-step explanation:

Answer:

wa pow

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLIEST PLUS 30 POINTS IF CORRECT!!

Answers

If I’m assuming that symbol next to the C at the end of the question means C mirrored the the answer would be (3,1) but I’m not quite sure what it means

plz help me with this i´ll cashapp you 10$

Answers

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Round to the nearest whole number
74.64

Answers

75 is the answer since the 6 is above 5.

PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!

Tmr is my exam pls help...

Answers

Answer: x = 1/2

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

Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

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

Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

On one particular day, Jamal arrived late to find four other co-workers waiting for him to arrive. They were unable to do other work because they had made arrangements to have their position covered and to work with Jamal on a special project. Nothing could be done until he got there. The other workers earned wages as followed: Derek earns $10.00/hr; Sam earns $11.80/hr; Penny earns $11.00/hr and Zachary earns $13.00/hr. How much was lost in unproductive wages because Jamal arrived 15 minutes late?

Answers

Answer: $11.45

Step-by-step explanation:

Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:

Derek = 1/4 × $10.00

= $2.50

Sam = 1/4 × $11.80

= $2.95

Penny = 1/4 × $11.00

= $2.75

Zachary = 1/4 × $13.00

= $3.25

The amount lost will be:

= $2.50 + $2.95 + $2.75 + $3.25

= $11.45

What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help

Answers

The answer is B) 18:) hope this helps

42.5 subtract 7.32? Please help me with his question?

Answers

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Solve the following problem. Choose the correct answer. Fairhaven Church buys four tires for its van. Each tire is priced at $43.95. The tire store offers churches a 3.5% discount. How much does Fairhaven Church pay in all? The church pays $ total.

Answers

Answer:

169.65

Step-by-step explanation:

43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65

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