find the points where the graphs of y=1-x and y=x-3 intersect algebraically

Answers

Answer 1

Answer:

The point of intersection is (2, -1).

Step-by-step explanation:

At the point of intersection both equations have same value of x and y.

y = x - 3

y = 1 - x

Since the 2 right sides are both = y:

x - 3 = 1 - x

x + x = 1 + 3

2x = 4

x = 2.

Substituting for x in equation 1:

y = 2 - 3 = -1.


Related Questions

Which expression could you write to show how to multiply 9 x 856 using place vale and expanded form.

Answers

9X800) + (9X50) + (9X6)

4.1
Twenty two litres(22ltrs) of petrol cost R300. How much will
you pay for one litre of petrol

4.2
A car travels a distance of 330 km at an average speed of 110
km/h. How long does it take the car to travel this distance?

4.3
Calculate the amount that will be in the bank after 4 years if
R2000 was invested at 9% p.a. simple interest​

Answers

Answer:

4.1 -

300/22= 13.65

so the answer is 13.63

4.2

distance/speed

330/110= 3

So it'll take 3 hours

4.3

sorry not sure for this one :(

4.1

Cost of 22ltrs of petrol = Rs300

Cost of 1ltr of petrol = 300/22

= 150/11

= Rs13.63

4.2

distance = 330km = d

speed = 110km/hr = s

time = d/s

= 330/110

= 33/11

= 3hrs

4.3

SI = principal amount × rate of interest × time

[tex] = 2000 \times \frac{9}{100} \times 4[/tex]

[tex] = 20 \times 9 \times 4[/tex]

[tex] = 720[/tex]

Amount = Principal + SI

= 2000 + 720

= Rs2720

Solve v+8<3 or -8v-40 .

Answers

The answer is:

v < -5 or v > 5

Hope this helps ✨❤️

2(h - 8) - h = h - 16

Answers

[tex]2(h-8)-h=h-16[/tex]

[tex]2h-16-h=h-16[/tex]

[tex]h=h[/tex]

h has infinitely many solutions.

If a right triangle has an acute angle of 43 find its complement

Answers

Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

Erick ordered 4 new DVDs by mail. Each costs the same amount and there
was an additional $5 shipping charge that brought the total to $33.
What was the cost of one DVD?
mil Movin at Mayfair, Zal bought a drink for

Answers

Answer: $7 each

Step-by-step explanation: 33-5=28 28/4=7

.Solve for x.



3x = -39

Answers

Answer:

x= (-13)

Step-by-step explanation:

You need to get x alone so you have to divide by 3 and -39/3 equals -13

Answer:

x = -13

Step-by-step explanation:

Divide both numbers by 3

3÷3 cancels each other out, leaving x

-39÷3= -13

PLEASE HELP!!!!! PLEASE LOOK AT MY DOCUMENT AND HELP ME!!! I AM NOT UNDERSTANDING THIS AND I NEED TO GET MY GRADE UP!!

Answers

i do not see a picture sorry cant help

I need help with this, if anyone can I appreciate it. ✨

Answers

Answer:

85, -91

Step-by-step explanation:

85, 91 is the answer

1. 3(x + 4) = 3(x - 5)
(could you please show work)

Answers

Use distributive property on both sides

3(x+4)=3(x-5)

3(x)+3(4)=3(x)-3(5)

3x+12=3x-15

Subtract 3x from both sides

12=15.

So because this is a false statement the equation has no solution. So your answer is no solution. Hope this helps!!!

At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?

Answers

Answer:

11 degress celcius

Step-by-step explanation:

there was an  original 5 but it increased by 6

5 + 6 = 11

11 degrees celcuis

Answer:

11 degrees Celsius

Step-by-step explanation:

5+6=11

Give the function y=-5x+12, what is the output (y) when the input, x=-2?

Answers

Answer:

y=22

Step-by-step explanation:

y=-5(-2)+12

y=10+12

y=22

What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)

Answers

Answer:

[tex]y=\frac{5}{2}x-13[/tex]

Step-by-step explanation:

Given the equation

[tex]y=-\frac{2}{5}x-1[/tex]

comparing the equation with the slope-intercept form[tex]y=mx+b[/tex]

Here,

m is the slope b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-8\right)=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y+8=\frac{5}{2}\left(x-2\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{5}{2}\left(x-2\right)-8[/tex]

[tex]y=\frac{5}{2}x-13[/tex]

Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?

Answers

The situation we have to find is how much weight Hamid has gained. There is no number so I’m just going to teach u how to find the original weight. So basically you have to subtract the weight that is gained from the current weight which will give you the answer to the normal weight.
Current weight-weight gained=normal weight
For example if he gained 5 kg
88-5=83 so his normal weight is 83kg

Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap

Answers

Answer:

2 2/7

Step-by-step explanation:

3 3/7 ÷ 3 = 1 1/7, 1 1/7 x 2 = 2 2/7

find the roots of the equation (t+1)2 +(t-8)2=45
a.-5,-2 b.3,4 c. 5,2 d. 2,-3​

Answers

t2 +2t+2+t2 _16t+64=45

2t2_14t+65=45

2t2_14t +20=0

(2t_4)(t_5)=0

t=2 t=5

answer is C.5,2

3. The Lopez Family meets with a financial planner who advises them to save 15%
of their income per month for college savings for their children. They earn
$8,540 per month. How much will the Lopez family save each month for future
college expenses?

Answers

Answer:

1281

Step-by-step explanation:

15% of 8540=1281

I need help I have 10 more minutes until this quiz ends plz help

Answers

Answer:

The second and the third one

Step-by-step explanation:

Answer:

Second, Third, and Sixth box

Step-by-step explanation:

The total number of people is 5 people if each person gets a ticket a popcorn, each price should be multiplied by 5 or the prices could be added then multiplied by 5.

So, the correct answers are:

5(5.50) + 5(3.25)

5(5.50 + 3.25)

5(5+3) + 5(0.50 + 0.25)

solve:3x=40+x
pls solve this fast

Answers

Answer:

x = 20

Step-by-step explanation:

3x = 40 + x

-x           -x

2x = 40

Divide both sides by 2

x = 40/2

x = 20

I hope this was helpful! <3

Could I get brainliest?

Answer:

3x=40+x=20

Step-by-step explanation:

Hope this helps!! :)

Please help ASAP!!!!

Answers

Answer:

is B

Step-by-step explanation:

1. Identificamos los coeficientes a, la b y la c
a = 1 ( está al lado de
2
)
b = -8 ( está al lado de X )
c = 7 (término independiente)

Answers

Answer:

I don't speak Spanish I'm Sorry

bfmnbv help will give brainly

Answers

Answer:

tell your friend yall in zooooom

Step-by-step explanation:

Answer:

m=2

b=5

y=2x+5

Step-by-step explanation:

Chris bought a $568.80 tv with a 40% markup, how much does the tv cost.

Answers

Answer: the answer is $796.32

Step-by-step explanation:

CAN SOME PLZ HELP ME ON THIS ONE!!!!

Answers

Answer

d

Step-by-step explanation

The rate is constant

A rectangular prism has the following dimensions. The base has sides that are 3 cm. and 5 cm. and the height is 9 cm. How many squares with 1 cm edges can cover the entire surface area of the prism completely with no overlaps?

Answers

Answer:

174 squares

Step-by-step explanation:

I would start by finding the surface area of the rectangular prism. You can use 2(wl+hl+hw).

2(wl+hl+hw)

2(3*5+9*5+9*3)

2(15+45+27)

2(87)

174 cm^2

The area of squares 1 cm edges would be 1 because 1*1=1, so you could find how many of them would fit on the surface area by dividing 174 by 1, which equals 174.

A concert is $250 per ticket and the cost of parking is free. This is expressed
as p(x) = 250x. If the profit is $6,000 how many tickets were sold?

Answers

Answer:

24

Step-by-step explanation:

p(x) = 250x

6000 = 250x

x = 24

Answer:

24 tickets

Step-by-step explanation:

p(x) = 250x

Substitute 6,000 for p(x)

6,000 = 250x

Divide each side of the equation by 250

24 = x

Hope this helps!

3. Six neighborhood children - Leisha, Benito, Delia, Charlotte, Weldon, and Zina- were measured
yesterday. Weldon is taller than Delia but shorter than Zina. Leisha is taller than Benito but shorter than
Delia and Weldon. Benito isn't the shortest. Can you list the kids in order of height from tallest to shortest?
Please Help
WORTH 100 points!!!

Answers

zina, weldon, delia, leisha, bento, charlotte

The perimeter of a given rectangle is 44 inches. The length of the rectangle is two inches more than three times the width. What are the dimensions of the rectangle? Pls help

Answers

84 I’m pretty sure not one hundred precent tho

Answer:

W=5  L=17

Step-by-step explanation:

What is the measure of AC?

Answers

The measure of AC is 10 I’m pretty sure
10
Negative:-6












I think this the right answer

Uhm I need help.. If I threw a ball vertically at an initial speed of 34.5 m/s, how many seconds would it take to reach its maximum height?

Answers

Answer:

3.8 seconds to reach the maximum height

Hope I helped have a nice day!:)

Step-by-step explanation:

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