Which equation does the graph of the systems of equations solve?
a) -1/3x+1=-2x-4
b) 1/3x+1=-2x-4
c) 1/3x+1=2x-4
d) -1/3x-1=-2x-4

Which Equation Does The Graph Of The Systems Of Equations Solve?a) -1/3x+1=-2x-4b) 1/3x+1=-2x-4c) 1/3x+1=2x-4d)

Answers

Answer 1

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

[tex]\frac{1}{3}x+1=2x-4[/tex]

Subtract 1 from both sides

[tex]\frac{1}{3}x+1-1=2x-4-1[/tex]

Simplify

[tex]\frac{1}{3}x=2x-5[/tex]

subtract 2x from both sides

[tex]\frac{1}{3}x-2x=2x-5-2x[/tex]

Simplify

[tex]-\frac{5}{3}x=-5[/tex]

Multiply both sides by 5

[tex]3\left(-\frac{5}{3}x\right)=3\left(-5\right)[/tex]

Simplify

[tex]-5x=-15[/tex]

Divide both sides by -5

[tex]\frac{-5x}{-5}=\frac{-15}{-5}[/tex]

Simplify

[tex]x=3[/tex]

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.


Related Questions

a.220
b.84
c.168
d.162
i will try to give branliest to whoever answers fastest

Answers

Answer:

C

Step-by-step explanation:

I’m pretty sure the answer is 162! :)

GUYS I NEED HELP ASAP I"LL MARK BRAINLYIST TO first answer. i need to know wht is the value of y in the last unlabelled worksheet pls pls pls help

Answers

Answer:

don't know this answer closely relates to

Answer:

90 + 30+60=180

3y=60

y=60/3

y=20

NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!! IM SO CONFUSED

Answers

Answer: its -11

Step-by-step explanation:

27-38 = -11

Convert this percent into a fraction. Make sure your answer is fully reduced. 26%​

Answers

The Answer: 13/50
Step in step:
1. The decimal number: =0.26
2. You need to write it as a fraction: 0.26/1
3. You multiply 100 to both sides of the numerator: (0.26 x 100) / (1 x 100) = 26
4. To make 26/100 to the lowest you need to find least common multiple:
LCM is 2 for 26/100
5. You need to divide the numerator & denominator by 2 : 26/100 = (26/2) / (100 / 2) = 13/50

On the function machine shown below, the function rule is given as a variable expression. When the output is 99, what is the input? *


a 20

b 9

c 100

d 10

Answers

Answer: option d.

Step-by-step explanation:

We have the function:

y = f(x) = x^2  - 1

The output is 99 when y = 99, and the input is x.

Then we need to solve:

y = 99 = x^2 - 1

for x.

99 = x^2 - 1

99 + 1  =x^2

100 = x^2

√100 = x

10 = x

The correct option is d, input equals 10.

What is 4 9/12 as an improper fraction

Answers

Answer:

57/12

Step-by-step explanation:

4 9/12

multiply 12 by 4 to get 48. then we add 48 and 9 to get 57. now we just have to put 57 over our original denominator, 12. so we get 57/12.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{4\dfrac{9}{12}}\\\\\mathsf{= \dfrac{4\times 12 + 9}{12}}\\\\\mathsf{= \dfrac{48 + 9}{12}}\\\\\mathsf{= \dfrac{57}{12}}\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{\frac{57}{12}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

please help me out here :))

Answers

Answer:

no. i mean if u wanna take my points ok thats fine but dont be upset when i take ur points

Step-by-step explanation:

find the difference 6/8 -5/8
show your work

Answers

Answer:

1/8 or .125

Step-by-step explanation:

Because they fall under the same denominator just subtract the numerator.

6/8 - 5/8 = 1/8

HEEEEEEELLLLLLLPPPPPP
Just 1,2 and 3

Answers

Answer:

1) 2/3, two triangle segments

2) 1/7, one triangle segment

3) 3/9, three triangle segments left

really, you could do this by subtracting the top number, the numerator, because these visual diagrams have the same bottom number, or denominator, but for now, just subtract the segments. hope this helps, good luck.

Jerry earns a base salary of 350 per week plus an 8% commission on all sales at his job. Which inequality shows the minimum amount in cells s Jerry must make to earn more than a 500 in a week .​

Answers

Answer:

D

Step-by-step explanation:

8% in decimal form is written out as 0.08, so right away the answer is either C or D.

Then if you have "s" = 1875, you would get:

350 + (0.08 × 1875) = 500

That would mean any number greater than 1875 will give you a total more than 500.

Therefore the answer is D.

in the first quadrant you start with (2,4) and move 5 units right what point you will end up with ?

Answers

Answer:

(7,4)

Step-by-step explanation:

A is the point (8, 5) and B is the point (- 4, 1) Calculate the length of AB.

Answers

length between 2 points= 12.6491

if the diameter of a circle is 2.5 inches what is the circumference of the circle

Answers

Answer:

7.85 inches

Step-by-step explanation:

Jim wants to plan a meal with 113 grams of carbohydrates and 1090 calories. If green beans
have 7 grams of carbohydrates and 30
calories per half cup serving and if french fried
shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many
servings of green beans and shrimp should he use?

1. 11 half cups of beans and 4 three-ounce helpings of shrimp

2. 9 half cups of beans and 7 three-ounce helpings of shrimp

3. 7 half cups of beans and 9 three-ounce helpings of shrimp

4. 4 half cups of beans and 11 three-ounce helpings of shrimp

Answers

9514 1404 393

Answer:

  1. 11 half cups of beans and 4 three-ounce helpings of shrimp

Step-by-step explanation:

Let x and y represent servings of green beans and shrimp, respectively. Then the number of grams of carbohydrate in the meal is ...

  7x +9y = 113

And the number of calories in the meal is ...

  30x +190y = 1090

The solution to these equations can be found by your favorite method to be ...

  (x, y) = (11, 4)

The appropriate number of servings is ...

  1. 11 half cups of beans and 4 three-ounce helpings of shrimp

A cyclist travels 15 km from home to the park.
She leaves home at 14:05 and arrives at the park at 14:50.
What is her average speed in km/h?

Answers

Answer:

20km/h

Step-by-step explanation:

use the speed distance time formula

it takes 45mins to get to the park which is 0.75 of an hour

20/0.75 = 20km/h

someone please HELP ME with this!!

a.) Is the following mapping an example of a Function or Relation?

b.) Identify the domain of the mapping use a comma to separate your answers. No brackets are needed.

Answers

Answers:

a) Function

b) Domain = {3, -4, -3}

You won't type in the curly braces for the domain, but it's common to use them to indicate we're talking about a set.

========================================

Explanation:

We have a function because each item in the domain (blue oval) goes to exactly one item in the range (green oval). We don't have two arrows or more originating from one item in the domain. So each input leads to exactly one output.

The domain is the set of allowed inputs. So the domain is the set {3, -4, -3}. Those items are found in the blue oval. As your teacher instructs, you won't be typing in the curly braces, but it's common to see the domain listed as a set like this. Optionally you can sort the items from smallest to largest, but it's not necessary. This is because order doesn't matter in a set.

Answer:

a.) Function

b.) 3, -4, -3

Step-by-step explanation:

hope this is right!

-Jules :)

PLEASE HELP

Write a simplified expression that represents the perimeter of the rectangle.

Answers

P=[2(2x)]+[2(4x+3)]

Answer:

P = 12x+6 is the answer

Step-by-step explanation:

P = 2(4x+3+2x)

= 2(6x+3)

= 12x+6

help! if you do this and my other queston 53 points
101 202 505 1010 . . . ? . . .10100 50500
2 . . ? . . . . ? . . .10 . . .50 . . 100 . . . . . ? . .

what are the ?'s

Answers

Answer:

5050, 4, 10, 500

Step-by-step explanation:

Sarah buys a car for £7100.
It depreciates at a rate of 1% per year.
How many years will it take to be worth less than £6500?

Answers

Answer:

9 Years

Step-by-step explanation:

Please help me PLEASE..Thank you

Answers

Answer:

1)=-18x^5+60x^4-50x^3

2)k=3m/2-12

3)6x^2(x+2)(x-2)

Step-by-step explanation:

Hope dis helps :)

could i have brainliest

Please help! Will mark brainliest!

Answers

Answer:

2

Step-by-step explanation:

I will make you brainlist if you help and explain.
Jessica walks around a path surrounding a man-made lake 3 days per week. If the path is 30 feet away from the lake, how far does Jessica walk per week? Round to the nearest foot. CIRCUMFERENCE MATH

Answers

Answer:

3/week

30/walk

3x30=90

Step-by-step explanation:

g we...
ey
What is the slope of the line that passes through the points (-3, -3) and
(-5, -2)? Write your answer in simplest form.

Answers

Answer:

The slope in simplest form is

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

Step-by-step explanation:

Remember:

[tex]slope \: = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

We just plug in and solve.

[tex]slope = \frac{ - 2 - ( - 3)}{ - 5 - ( - 3)} = \frac{ \: \: 1}{ - 2} = - \frac{1}{2} [/tex]

Eric downloads a coupon for 12% off at Gadgets Galore.
He buys a digital camera for $95 and an extra battery for
$16. What is the discounted total after the coupon is
applied?

Answers

Answer:

$97.68

Step-by-step explanation:

$95 + $16 = $111

$111 × 12 = 13.32

$111 - 13.32 = $ 97.68

What is the decimal value of 3 quarters and 2 dimes?

Answers

Answer:

0.95

Step-by-step explanation:

Quarter = 0.25

Dime = 0.10

0.25+0.25+0.25= 0.75

0.10+0.10= 0.10

0.10+0.75 = 0.95

On a survey, 8 students reported how many minutes it takes them to travel to school. Here are their responses. 16, 11, 15, 13, 13, 11, 4, 12

Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

11.8 or 10

yes

Step-by-step explanation:

i did math:)

Answer:

11.8

Step-by-step explanation:

4+11+11+12+13+13+15+16= 95

95/8= 11.875 simplify

11.8

Write the decimal as a fraction or mixed number in simplest form.
0.33

Answers

Answer:

Step-by-step explanation:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So, 0.331 = (0.33 × 100)(1 × 100) = 33100.

Which is a solution to the equation (10–5y) = 20?​

Answers

Answer:

y = -2

Step-by-step explanation:

10 -5y = 20       { subtract 10 from both sides}

  -5y = 20 - 10

  -5y = 10          {Divide both sides by (-5) }

    y = 10/-5

y = -2

Answer: y = -2

Step-by-step explanation:

10 - 5y = 20

Add 5y to both sides

10 = 5y + 20

Subtract 20 from both sides

-10 = 5y

Divide both sides by 5

y = -2

Given: 5x + 3 > 4x + 7.
Choose the graph of the solution set.

Answers

Answer:

The first one

Step-by-step explanation:

We simplify this inequality to x>4. This means it is moving past the four to the right with an open dot

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}[/tex]

Step-by-step explanation:

For the number line refer to the attachment :

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}[/tex]

This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .

Hence the first graph of the solution set represents the given linear inequality.

i need an example of ‘what is a 3rd degree polynomial with two terms’ ?

Answers

Answer:Cubic polynomials are polynomials of degree three. Examples include \begin{align*}x^3+8, x^3-4x^2+3x-5\end{align*}, and so on. Notice in these examples, the largest exponent for the variable is three (3). They are all cubics

Step-by-step explanation:

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