A system of equations is graphed on the coordinate plane.
y = 1/2+2
y = x + 1
What is the solution to the system of equations?

Answers

Answer 1

Answer:

y=2.5, x=1.5

Step-by-step explanation:

y=1/2+2 ---(1)

y=x+1 ---(2)

y=1/2+2=2.5

Substitute y=2.5 into equation (2)

y=x+1

2.5=x+1

2.5-1=x

x=1.5


Related Questions

what is the measure of the angle in degrees

Answers

Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?

Answers

Answer:

4 litres.

Step-by-step explanation:

By proportion that would be:

1.5 * 8/3

= 12/3

= 4 litres.

If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether

Answers

Answer:

180°

Step-by-step explanation:

Since a sprinkler rotates 90°, pauses,and then rotates another 90°

So, here total degrees be like

= 90° + 90°

= 180°

hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.

plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)​

Answers

5x-6

all u have to do is simply

Step-by-step explanation:

[tex] = 2(x + 3) + 3(x - 4)[/tex]

[tex] = 2x + 6 + 3x - 12[/tex]

[tex] = 2x + 3x + 6 - 12[/tex]

[tex] = 5x - 6[/tex]

...

A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answers

Answer:

false

Step-by-step explanation:

Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.

Answers

Answer:

when the sum of the squares of the sides are equal to the square of the hypotenuse

Step-by-step explanation:

we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.

97² = 65² + 72²

97² = 97²

it is a right triangle

HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP

Answers

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

∠FDE∠GDA

Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?

Answers

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

11. Graph.
y - 2 = -2 (x + 2)

Answers

Answer:

y=-2x

Step-by-step explanation:

should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)

Help me with this question please

Answers

Answer:

A) D) F)

Step-by-step explanation:

A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option

D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37

F) (Season 8, 30 average points per game)

5 points and brainliest to the best correct answer, questions in photo, thank you

Answers

Answer:

C) 150

Step-by-step explanation:

A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C

150 grams. If the half life is 2.5 days, then there are two half lives within five days. So, you divide 600 by half once, which is 300, and then by half again, which is 150

This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.

1/5 * 20/x​

Answers

Answer:

1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100

Step-by-step explanation:

sorry this is all i know

The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

help me with this question please!!!!

Answers

Answer:

i believe its the second

Step-by-step explanation:

so sorry if im wrong

I believe it’s the second option

PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).

Options:

A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13

Answers

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?

Answers

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

Without using a calculator, determine the value of: sin 60° x tan30° sec45° ​

Answers

hey there !

We know that ,

Sin 60° = √3/2

Tan 30° = 1/√3

Sec 45° = √2

Now ,

Sin 60° tan 30° sec 45° = √3/2 x 1/√3 x √2

=> √2/2

Hope this helps you.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

I am confused about this question ​

Answers

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

Linear Equations of Vertical Lines

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when the line passes through the y-axis)

However, for vertical line equations, we write them a little differently:

[tex]x=d[/tex]

d = the x-intercept (the value of x when the line passes through the x-axis)

We write equations for vertical lines like this because they might not always have a y-intercept.

Solving the Question

We're given:

Line L passes through the x-axis when x = 5

This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:

[tex]x=d[/tex]

[tex]x=5[/tex]

Answer

[tex]x=5[/tex]

What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed

Answers

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

1. Use the function f (x) to answer the questions:

f(x) = 2x^2 − 3x − 5

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

I promise to give braInliest to the correct answer.

Answers

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

Why is cereal is packaged in rectangular boxes?

Answers

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job

Answers

Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs    

Need help please answer asap

Answers

#13

x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8

Option D

#14

.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴

Answer:

    13. (4) -x² + 4x - 8

    14. (3) a⁴ + 2a²b² + b⁴

Step-by-step explanation:

Question 13

x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8

Question 14

(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴

Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap. a triangular prism. the triangular base has a base of 4 inches and height of 3 inches. the height of the prism is 7 inches. what is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese? 42 inches squared 84 inches squared 96 inches squared 108 inches squared

Answers

The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.

What is a triangular prism?

A triangular prism is a solid geometrical shape made of three rectangles and two triangles.

Analysis:

base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches

Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.

for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle  we have

[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]

l = [tex]\sqrt{13}[/tex] = 3.6

Total surface area = 2(1/2bh) + 2(l x b) + L x B

                               = 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.

in conclusion, the amount of plastic needed is 84 inches squared.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ4

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft

Answers

so, to find the measure of an src length we use the formula

angle / 360 * 2 pi r

so, if we plug it in, it is

85 / 360 * 2 pi 4


that equals 17 pi / 9 ft^2

that is the arc length.


to find the perimeter of the sector ( a sector is j the region w the arc) add the two radi as well as the newly found arc length

that should be 4 + 4 + 17 pi / 9



this equals roughly 13.9341 ft^2

A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite

Answers

Answer:

1.89 inch²

Explanation:

[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]

Here given:

diagonal 1: 2.7 inchdiagonal 2: 1.4 inch

Find the Area:

[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]

WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?

f(x) = 4x^3 + 2x^2 – 3x + 9

g(x) = log2(x)^3

h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1

p(x) = 500(1.02)^x

Answers

Exponential functions are known to increase geometrically. An example of exponential function is  p(x) = 500(1.02)^x

Exponential functions

Exponential functions are known to increase geometrically. The standard exponential function is given as:

y = ab^x

a is the base

x is the exponent

From the given options, the function written in this form is

p(x) = 500(1.02)^x. Hence an example of exponential function is

p(x) = 500(1.02)^x

Learn more on exponential function here: https://brainly.com/question/12940982

#SPJ1

Fine the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Please help with this as soon as possible. Assignment due tomorrow!!

Answers

1 - transversal is RS , angle is CORRESPONDING
2 - transversal is BA , angle is ALTERNATE INTERIOR
3 - transversal is RS , angle is CORRESPONDING
4 - transversal is TU , angle is ALTERNATE EXTERIOR
5 - transversal is TU , angle is ALTERNATE INTERIOR
6 - transversal is CD , angle is ALTERNATE EXTERIOR
7 - transversal is TU , angle is ALTERNATE EXTERIOR
8 - transversal is TU , angle is CORRESPONDING
9 - transversal is AB , angle is ALTERNATE INTERIOR
10 - transversal is CD , angle is ALTERNATE INTERIOR
11 - transversal is RS , angle is CORRESPONDING
12 - transversal is TU , angle is CORRESPONDING

Find the height of the triangle. Round the answer to one decimal place.

Answers

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4
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