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

Which ordered pairs are soultions to the inequality y-2x<-3

Answers

Answer:

(-3, 3/2)

Step-by-step explanation:

Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function

y-intercept occurs at x = 0

Substitute x = 0  into the expression

y - 2(0) < -3

y < -3

Find the x-intercept by substituting y = 0 into the expression

0 - 2x < -3

-2x < -3

x > 3/2

Hence the ordered pair is (x, y) = (-3, 3/2)

ASAP SOMEONE HELP ME PLZ

Answers

Ok so you find the area of the yellow and the red and the area of the yellow you subtract it with the area aid the red that should give you the correct answer

this is due today i'm really struggling on school and ill be really happy if someone answers this
please and thank you :')

Answers

Answer:

Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:

Step-by-step explanation:

1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]

2: 6x13

3:$78

PLEASE HELP Tony received a $45.25 gift card for a photo center. He used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following function. B (x)=45.25 -0.05x What is the remaining balance on the card if Tony bought 50 prints?​

Answers

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

X+19=-9
pls help!! algebratic equations

Answers

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

The questions and options is on the image ;)

Answers

Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust

Work out (5X10^3) x (9X10^7) answer in standard form plz

Answers

Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Equation in standard form:

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

Learn more about an equation here: https://brainly.com/question/24271130

Solve for x !!!!!!!!

Answers

Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

the answer for the question is 4

Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?

Answers

Answer:

please mark me brainliest and follow me my friend.

What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me

Answers

The Answer: D) 6

Hope this helps if need more pls text✌

Answer: D

Step-by-step explanation:

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction

Answers

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?

Answers

Concept: Domain & Range

The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.

What is the best description of slope (m) in a word problem?



The total at a certain time


The starting point


The rate of change


The amount of time

Answers

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

The slope is the rate of change. It is how something increases or decreases over an amount of time.

Hope this helps✨❤️

A company policy requires that, for every 60 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
A.
2,640
B.
4,752
C.
5,280
D.
6,336

Answers

Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)

find the value of trignomwtric function:
sec330°​

Answers

Step-by-step explanation:

sec330°

= 1 / cos330°

= 1 / cos30°

= 1 / (√3/2)

= 2/√3.

Answer:

[tex]\frac{2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the identity

secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sec330°

= [tex]\frac{1}{cos330}[/tex]

= [tex]\frac{1}{cos(360-330)}[/tex]

= [tex]\frac{1}{cos30}[/tex]

= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]

= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{2\sqrt{3} }{3}[/tex]

9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?

Answers

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

Andrew ate 2/3 of the desert. cassandra ate 5/16 of the desert. what portion of the desert did andrew and cassandra eat altogether?

Answers

Answer:

Concept: Fractions

A ate 2/3 and C ate 5/16Let us find a common denominator Let 48 be our common DHence 32/48+ 15/48 = 47/48

Answer:

The portions added together make 47/48 of the dessert.

Step-by-step explanation:

To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:

[tex]\frac{2}{3} + \frac{5}{16}[/tex]

[tex]\frac{32}{48} + \frac{15}{48}[/tex]

[tex]\frac{47}{48}[/tex]

Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.

Hope this helped!

I already finished it but how do you know if it’s decreasing or increasing?

Please explain to me :)

Answers

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

the slope of the line will tell you whether it is decreasing or increasing.
negative slopes means it’s decreasing while positive slopes means the line is increasing.

Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p

Answers

Answer:

27.5 answer B

Step-by-step explanation:

55/200 = .275

Answer:

B is the right answer i guess

I need help with this questions ASAP!

Answers

Answer:

Step-by-step explanation:

3100 ft per 50,000 years

31 ft per 500 years (Divided 100)

Convert ft to inches

372 in per 500 years

0.744 inches per year (Divided by 500)

58.6 km/h in cm/min solve and explain me ​

Answers

Answer:

PLEASE MARK AS BRAINLIEST!!!!!!!

58.6 kilometer/hour = 97666.666667 centimeter/minute

Step-by-step explanation:

How to Convert Centimeter/minute to Kilometer/hour

1 cm/min = 0.0006 km/h

1 km/h = 1666.6666666667 cm/min

Example: convert 15 cm/min to km/h:

15 cm/min = 15 × 0.0006 km/h = 0.009 km/h

Find the sum

14.3 + 7.36 = ?

Answers

Answer:

21.66

Step-by-step explanation:

6. Solve the following equation for y.
3x - 4y = 6

Answers

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

Need a quick answer please

Answers

Step-by-step explanation:

S is equal to Q

Q= 48.5

there are two angels (S,Q). They equal 48.5

so 48.5x2= 97

all angels together (QRSP) equals 360

you can take the 97 and subtract it from the 360 =263

divide 263 to get the angels for P and R

S= 48.5

Q=48.5

R=131.5

P=131.5

please answer i will give you brainiest!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure it's A because its showing that the line starts from 1 and goes up if that makes sense.

Answer:

B

Step-by-step explanation:

x < 1 means that x is lesser than 1. A shows x is more than 1 so it is wrong. C shows x is more than -1 which is not entirely true since x could be more than -1, but not less than 1. However, the line in C stretches all the way to 8 which is more than 1 so it is wrong.  D shows that x is lesser than -1, but x could have been 0 or -1, so it is not true either.

URGENT IF YOU DO THIs ILL GiVE BRAINLEST

Answers

Answer:

b

Step-by-step explanation:

thats what i got

Answer:

j

Step-by-step explanation:

Find the value of 
[tex] log_{8}^{512} [/tex]
please help friends....​

Answers

Answer:

3

Step-by-step explanation:

log 8 512 = 8^ x=512. x=3

Hope this helps :D

the answer would be log=3

what is the area if b=16mm and h=12mm

Answers

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

8. Quincy pays $150 every four months for karate lessons. Hailey pays $120 every three
months for karate lessons. At this rate, how much does Quincy pay per month for
lessons?

Answers

Answer:

$37.50 per month

Step-by-step explanation:

150/4 = 37.50 per month

John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes

Answers

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

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