The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?

Answer:

x>2 here u go kenma :)

Step-by-step explanation:

100x-200>40x-80

60x-200>-80

60x>120

x>2

Answer:

3-2x=15

Step-by-step explanation:

add 3 to both sides makes -2x=18. divide -2 from both side gets the answer x=-9, so the answer is C, -9

Answer:

Standard form:

2x + 4 = 0

Factorization:

2(x + 2) = 0

Solutions:

x = −4 /2  = −2

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5−(5x+8)=−4x−7

3x+5+−1(5x+8)=−4x−7(Distribute the Negative Sign)

3x+5+−1(5x)+(−1)(8)=−4x−7

3x+5+−5x+−8=−4x−7

3x+5+−5x+−8=−4x+−7

(3x+−5x)+(5+−8)=−4x−7(Combine Like Terms)

−2x+−3=−4x−7

−2x−3=−4x−7

Step 2: Add 4x to both sides.

−2x−3+4x=−4x−7+4x

2x−3=−7

Step 3: Add 3 to both sides.

2x−3+3=−7+3

2x=−4

Step 4: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-4}{2}[/tex]

x = −2

Answer:

60+9h=375

Step-by-step explanation:

60+9h=375 just use math

The equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given statement is "Sixty more than 9 times a number is 375".

Since the number is h, the statement written in mathematical form is:
9h + 60 = 375

Hence, the equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

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Answer:

Yes it is.

Step-by-step explanation:

To figure this out, lets first convert inches to centimeters. 1 Inch is equal to 2.54cm. Lets multiply 12 times 2.54. That would be equal to 30.48, which is greater than 29. This means that it is long enough to cut.

Answer:

yes it is

Step-by-step explanation:

because 12 in = 30.48 cm

Answer:

0.0375 gram of Vitamin C

Step-by-step explanation:

Hi there !

1  1/2 tablets = (1*2 + 1)/2 = 3/2 tablets every day

How many grams of vitamin C do do you take every day?

1/40 × 3/2 = 3/80 = 0.0375 gram of Vitamin C

Good luck !

Answer:

18.5 minutes

Step-by-step explanation:

Koto’s average velocity along her route was 4.5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

5000 meters west - 5000 meters east = 0

20,000 south - 15000 north = 5000 meters

4.5 meters = 1 second

5000 meters = x seconds

Cross Multiply

4.5 × x = 5000 × 1

x = 5000/4.5

x = 1111.11111111 seconds

There are 60 seconds in 1 minute.

60 seconds = 1 minute

1111.11111111 = y minutes

60 × y = 1111.11111111 × 1

y = 1111.11111111/60

y = 18.5185185185 minutes

Approximately = 18.5 minutes

The time of her trip is 18.5 minutes

Answer:

18.5

Step-by-step explanation:

Answer:

30 miles

Step-by-step explanation:

Answer:

Each student will get a half a gallon of distilled water

Step-by-step explanation:

Answer:

the answer to this question is 15

The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

A square has an area of 225 m².

Then the edge length of the square is given as,

a² = 225

a = 15 m

Then the length of the diagonal of the square will be given as,

⇒ a√2

⇒ 15 √2 m

The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.

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Answer:

13/5 - 6x/5

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total point = 867

Let :

number of 3 point goals = p

Number of 2 point goals = 2p - 66

Number of 1 point goals = (2p - 66) - 36 = 2p - 102

Hence,

3p + 2(2p - 66) + 2p - 102 = 867

3p + 4p - 132 + 2p - 102 = 867

3p + 4p + 2p - 234 = 867

9p - 234 = 867

9p = 867 + 234

9p = 1101

p = 122.33

2 pointer = 2p - 66

2(122.33) - 66 = 178.67

1 point = 2p - 102

2(122.33) - 102

= 142.67

Note: you may need to recheck the parameters given, because the expected result should be whole numbers

Answer: 15x^2+116x+192

Step-by-step explanation:

(5x+12) (3x+16) multiply each term in the first parentheses by each term in the second parentheses

15Xx 3x+5Xx16+12x3x+12x16

15x^2+166X+192

                      ANSWER  15x^2+116+192

Answer:

The chosen topic is not meant for use with this type of problem.

Step-by-step explanation:

The best way to try and solve is using the quadratic formula. The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

( 5x + 12 ) x ( 3x + 16 )

Step one : use the distributive factor. To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

5x x 3x

5x x 16

12 x 3x

12 x 16

15x^2 + 80x + 36x + 192

Step two: Combine like terms

15x^2 + 116x + 192

Step three: Solve the equation for  x  by finding  a

,  b, and c of the quadratic then applying the quadratic formula.

x = - 12/5 , -16/3

Answer:

If you have two point the you have (x1, y1) and (x2,y2).

All you have to do is set these up in the formula y2-y1

                                                                                 x2-x1  

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

Because if you change it from (43 + 60) + 40 to (60 + 40) + 43 = 143

You automatically know it is 143 because 60 + 40 is 100 + 43 = 143

And it wouldn't be D because that is already in a easy way the solve. The others looked to complicated to even attempt so it has to be A.

Did this help!!??

Answer:

it is rational

Step-by-step explanation:

if it is not able to be a fraction it is irrational, but it can be turned into a fraction so therefore it is a rational.

Hope this helped

add 1 to both sides then divide by 3. the answer should be r=3

Answer:

r=3

Step-by-step explanation:

First, you would add 1 to both sides so:8+1=3r-1+1 so that gives you 9=3r.

Then, you divide 3 from both sides. 9/3=3r/3 so that gives you r=3

Answer:

96 packages

Step-by-step explanation:

We solve for this question using Lowest Common Multiple (LCM) method

Step 1

We list multiples of each number until the first common multiple is found. This is referred to as the lowest common multiple.

From the question , we are told:

Plates are sold in packages of 24

Cups in packages of 32

Forks in packages of 48

Multiples of 24:

24, 48, 72, 96, 120, 144

Multiples of 32:

32, 64, 96, 128, 160

Multiples of 48:

48, 96, 144, 192

Therefore,

LCM(24, 32, 48) = 96

Hence, the least numbers of packages you should buy in order to have the same number of plates, cups, and forks is 96 packages

Answer:

Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.

Step-by-step explanation:

9514 1404 393

Answer:

  y = -x +7

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b

where m is the slope and b is the y-intercept.

Put the given values in the corresponding places:

  y = (-1)x +7

  y = -x +7

Answer:

11.5 years

Step-by-step explanation:

The formula for the monthly payment of a loan is:

[tex] A = P\dfrac{r(1 + r)^n}{(1 + r)^n - 1} [/tex]

where

A = monthly payment

r = interest rate per period

n = number of periods

Assuming a monthly payment, we have

P = 17500

r = 0.065/12

The total amount of payments is the monthly payment times the number of payments, so

An = 24893.75

We can try 10 years. n = 10 * 12 = 120

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{120}}{(1 + \frac{0.065}{12})^{120} - 1} = 198.71 [/tex]

An = 198.71 * 120 = 23845.08

The total amount of payments is too low.

Let's try 11 years.

n = 11 * 12 = 132

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{132}}{(1 + \frac{0.065}{12})^{132} - 1} = 185.92 [/tex]

An = 185.92 * 132 = 24540.90

The total amount of payments is still too low.

Let's try 12 years.

n = 12 * 12 = 144

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{144}}{(1 + \frac{0.065}{12})^{144} - 1} = 175.34 [/tex]

An = 185.92 * 144 = 25248.41

The total amount of payments is too high.

11 years is too little, and 12 years is too much.

Let's try 11.5 years.

n = 11.5 * 12 = 138

[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{138}}{(1 + \frac{0.065}{12})^{138} - 1} = 180.39 [/tex]

An = 180.39 * 138 = 24893.20

11.5 gives a total of payments of $24,893.20 which is very close to $23.893.75.

Answer: 11.5 years

The total amount of payments is too high.

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

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

    = ( 5-2)/(8-2)

   = 3/2

Answer:

The Domain is X and Range is Y

Step-by-step explanation:

Top values are domain and bottom values are Range

Answer:

h = 6

Step-by-step explanation:

Answer:

yikes! i hope someone helps you!!!!

Answer:

x=7.5

Total area = 27+15 = 42

Step-by-step explanation:

For question 13, we still need to find the bottom side of the T-shape that's not labeled. That's just 9-3.5-3.5=9-7=2.

Now that we know all the side lengths, we can set up an equation where all the side lengths add up to 39, and solve for x:

9+3+3+3.5+3.5+x+x+2=39

24+2x=39

2x=15

x=7.5

For question 14, we can divide the shape into 2 rectangles, which is shown in the picture attaches. Then, we just solve for each rectangle's area separately, and then add them up.

Rectangle A = 9*3=27

Rectangle B = 7.5*2=15

Total area = 27+15 = 42

Answer:

its D

Step-by-step explanation:

got it correct on a test :)

The correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.

The linear equation is an equation where the highest degree of the variables used in the equation is 1.

For example 9x+5=23

Given the equation is -1.3 +4.6x= 0.3+ 4x

In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.

Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.

Here the given equation is -1.3 +4.6x= 0.3+ 4x

Step-1: Adding 1.3 to both sides of the equation

⇒-1.3 +4.6x +1.3 = 0.3+ 4x +1.3

⇒4.6x = 4x+1.6

Step-2: subtracting 4x from both sides of the equation

⇒4.6x -4x = 4x+1.6-4x

⇒ 0.6x=1.6

Step-3:  dividing both sides by the coefficient of x i.e. 0.6.

⇒0.6x/0.6 = 1.6/0.6

⇒x= 2.67

Therefore the correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.

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Answer:

1/2

Step-by-step explanation:

(Mi español no es muy bien, lo siento.)

1. Exponente es básicamente multiplicación.

2² = 2*2

2³ = 2*2*2

2. Dividir

Answer:

Step-by-step explanation:

2 1/2 / 2^3=

2 1/2 / 2*2*2=

2 1/2 / 8=

2.5 / 8=

0.3125