Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.

Answers

Answer 1

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

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

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       


Related Questions

Add (8x - 7) + (6x + 8). simplify your answer.

Answers

Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:

streets A and B run parallel to each other. The measure of angle 6 is 155 degrees. What is the measure of angle 7?

Answers

Answer:

m<7 = 155

Step-by-step explanation:

<6 = <7 due to vertical angle thm

A 5-pound bag of cat food costs $11.25. What is the unit price of the cat food?


a

$0.44 per pound
b

$2.25 per pound
c

$6.25 per pound
d

$56.25 per pound



n no postin link step by step

Answers

Answer:

C $2.25

Step-by-step explanation:

$11.25÷5=$2.25

$2.25 because 5 pounds of cat food is 11.25 and you want to find how much is one pound so u divide 11.25 by 5

Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540

Answers

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Solve the following algebraic expressions
1) n(n-4) -n(5-n)
2)

Answers

Answer:

[tex]n {}^{2} - 4n - 5n + n { }^{2} \\ = 2n {}^{2} - 9 [/tex]

Hope it helps

Answer:

[tex]\huge\boxed{1) 2n^2-9n}[/tex]

[tex]\huge\boxed{2) 6c\³ + 4c\²}[/tex]

Step-by-step explanation:

Part 1:

= n(n-4)-n(5-n)

By distributive property

= n² - 4n - 5n + n²

= 2n² - 4n - 5n

= 2n² - 9n

Part 2:

= 4c(3c-c²)-2c²(4-5c)

Distributing brackets

= 12c² - 4c³ - 8c² + 10c³

Combining like terms

= 12c² - 8c² - 4c³ + 10c³

= 4c² + 6c³

= 6c³ + 4c²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

converting measures 48ft= yd​

Answers

Answer:

48 Feet (ft) 16.000 Yards (yd)

1 ft = 0.333333 yd 1 yd = 3.000000 ft

Step-by-step explanation:

Aidan rollerblades 540 ft per min. at this rate how far in yards will he rollerblade in 5 min( 1 yd =3 ft)​

Answers

Answer:

900 yards

Step-by-step explanation:

540/3=180

180x5=900

OS HELP math math Algebra

Answers

The answer to your question is P=1590

Answer:

P=1590

Step-by-step explanation:

Help ASAP Please! This is timed, and I only have 45 minutes left to answer the rest of these questions. I will award 100 points and brainly to whoever can give me the equation. Help Please Time is on the essence, and If i fail this I risk failing the class

Answers

Answer:

y = 6/7x - 37/7

Step-by-step explanation:

m = 6/7

(5, -1)

y - y1 = m(x - x1)

y + 1 = 6/7(x - 5)

y + 1 = 6/7x - 30/7

y = 6/7x - 37/7

Answer:

Step-by-step explanation:

Start by the point-slope form and given slope = 6/7 and point (5, -1)

(y-(-1)) / (x-5) = 6/7

7(y+1) = 6(x-5)

7y = 6x - 37

y = 6x/7 - 5 2/7

which is the answer in slope-intercept form

I need help finding the slope

Answers

y2- y1 / x2 - x1

3 - -2 / 1 - -3

5/4

So, 5/4 or 1.25.

Which equation represents a line that is parallel to the line represented by

4x + y = 7 and passes through the point (1, 8)?

Answers

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

how to solve -6x+5y=16 and x=5-3y using subsituation

Answers

Answer:

you already have x solved for so you plug 5-3y into the x in -6x and you get -6(5-3y)+5y=16

-30+18y+5y=16

-30+23y=16

23y=46

y=2

x=5-3(2)

x=5-6

x=-1

Step-by-step explanation:

Write a porportion to find how many points a student needs to score on the test to get the given score
4) test worth 50 points; test score of 40%
6) test worth 80 points; test score of 80%

Answers

The first one is 20. The second one is 64 points

Find the value of x.

Answers

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

Alternative working:

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

I need help please, I will give brainliest to the first 2 people

Answers

Answer:

B

Step-by-step explanation:

they are parallel so it means none

no solution, when you graph them, the lines are parallel they never intersect

Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened? 249.45 w + 31.75 249.45 w minus 31.75 249.45 + 31.75 w 249.45 minus 31.75 w

Answers

Answer:

249.45 + 31.75w

Step-by-step explanation:

Opening deposit = $249.45

Weekly deposit made into account = $31. 75

Amount of money which will be in account w weeks after opening :

Opening deposit + (weekly deposit * number of weeks)

Amount after w weeks :

$249.45 + (31.75 * w)

$249.45 + 31.75w

Answer:

C

Step-by-step explanation:

The Vikings basketball team scored the points shown below in their last 7 games.

80, 89, 89, 92, 104, 104, 107

Which box plot best represents the Vikings’ basketball scores?

Answers

If its a diagram pick the answer C

Answer:

C

Step-by-step explanation:

I got it right.

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

What two numbers have a sum of 215 and a difference of 137

Answers

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

preform the operation (8x 2 +8x)−(−9x 2 +8x)

Answers

Answer:

17x^2

Step-by-step explanation:

8x^2-(-9x^2)= 17x^2

+8x-8x

The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.

Answers

Answer:

£5787.50

Step-by-step explanation:

mark brainliest

Evaluate each expression
7 + 9=
43 - 5=

Answers

The answer you just add and subtract
7+9=16
43-5=38
7+9= 16
43-5= 38
Explained: it’s pretty easy lol

what is the coefficient in -x+9

Answers

Answer:

-1

Step-by-step explanation:

The coefficient is the number directly next to a given variable (typically 1 if there is no given number).

In this case, note the variable: -x

As stated above, the number is 1 if there is no number given. However, note that there is a negative sign, therefore, your coefficient is -1

-1 is your answer.

~

A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?

Answers

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomialstate the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial

Answers

Answer:

common factor: 5x

5x (7x - 2)

Step-by-step explanation:

first, simplify the polynomial:

5x² + 30x² - 10x = 35x² - 10x

common factor: 5x

5x (7x - 2)

A company packages their product in two sizes of cylinders. Each dimension of the larger finder
is twice the size of the corresponding dimension of the smaller Cylinder
20
2h
Based on this information, which of the following statements is true?
A. The volume of the larger cylinder is 2 times the volume of the smaller cylinder.
B. The volume of the larger cylinder is 4 times the volume of the smaller cylinder.
C. The volume of the larger cylinder is 8 times the volume of the smaller cylinder.
D. The volume of the larger cylinder is 6 times the volume of the smaller cylinder.

Answers

The true statement is The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

The correct option is (C)

What is Volume of cylinder?

The volume of cylinder is, V=  πr²h.

Volume of large cylinder,

= πr²h

= πd²(2h)

= 2hπd²

Volume of large cylinder,

= πr²h

= π(d/2)²(h)

= πd²h/4

= 2πd²h/8

Hence, The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

Learn more about volume of cylinder here:

https://brainly.com/question/16788902

#SPJ1

Please help me on this question!!!

Answers

Answer:

I cannot help you because I didnot know the answer

Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent after the markup​

Answers

Answer:

c

Step-by-step explanation:

dont know if i am right

There are 36 quarters in my coin collection. If my coin collection has 45% quarters, how many total coins do I have?

Answers

9514 1404 393

Answer:

  80

Step-by-step explanation:

If N is the total number of coins, then the number of quarters is ...

  36 = 0.45×N

 36/0.45 = N = 80

You have 80 coins you your collection.

Factory the expression 9X +27 using the GCF

Answers

X+3 would be the answer cause 9 goes into both numbers

Answer:

9(x + 3).

Step-by-step explanation:

The GCF is 9 so we divide the 2 terms by 9 to get the other factor.

9x + 27

= 9(x + 3).

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