Which point below is a solution to the equation y = 2x + 3?
A (145, 291)
B (78, 163)
C (37, 77)

Answers

Answer 1

Answer:

C (37, 77)

Step-by-step explanation:

Option A:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

Option B:

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

Option C:

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer 2

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation


Related Questions

what is the area of the composite figure?

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Answer:

113 ft^2

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

which is a linear equation with a slope of 1/2 and a y-intercept of -5

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Answer:

u say which but don't even give us options.

The city of Austin has a bridge that is famous for housing the largest urban bat colony in the
world. It is home to 2 million bats. It has been determined that the bats eat a total of 10 tons
of insects a night. If the population of the bats increases to 2.5 million, about how many
insects would they consume?
Answer:
tons

Answers

Answer:

12.5 tons

Step-by-Step Explanation

There are 2 million bats and they eat 10 tons so 1 million bats would eat 5 tons half of 5 is 2.5 so if there where 2.5 million bats then you would increase the number of insects by half of a half or 2.5 because the number increased by half a million and 1 million bats eat 5 tons. Hope this was helpful :D

Can you guys help me with these questions?

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Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

can someone help me !

Answers

Answer:

its b

Step-by-step explanation:

hope this helps

It’s alternate extior angles the answer is b.. hope this is helpful!

can someone help me with the equation(s)

Answers

She purchased 8 sports drinks

{d=p+3

2.25p+1.25d=21.25

d=p+3

p=d - 3

2.25(d - 3) + 1.25d = 21.25

2.25(d-3) + 1.25d=21.25

2.25 - 6.75 + 1.25d = 21.25

3.5d = 21.25+6.75

d=28/3.5

D=8

Which statement best describes the function?

Answers

Answer:

A.) The function is Nonlinear

Step-by-step explanation:

a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Functions are used because of following reasons – a) To improve the readability of code. b) Improves the reusability of the code, same function can be used in any program rather than writing the same code from scratch. c) Debugging of the code would be easier if you use functions, as errors are easy to be traced. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Material nonlinearity involves the nonlinear behavior of a material based on a current deformation, deformation history, rate of deformation, temperature, pressure, and so on. Examples of nonlinear material models are large strain (visco) elasto-plasticity and hyperelasticity (rubber and plastic materials). also nonlinear. adjective. If you describe something as non-linear, you mean that it does not progress or develop smoothly from one stage to the next in a logical way. Instead, it makes sudden changes, or seems to develop in different directions at the same time.

Example: Solve the linear equation 3x+9 = 2x + 18.

Example: Solve the nonlinear equation x+2y = 1 and x = y.

Complete the equation of the line whose slope is -2 and y intercept is (0,-8)

Answers

Answer:

y=-2x-8

Step-by-step explanation:

What is the ratio 28 : 35 written in lowest terms?
A.9: 15
B.7:19
C.4:5
D.3:7​

Answers

Answer:

4:5

Step-by-step explanation:

both sides divide by 7

1. John Smith has a past due balance of $80 on his account. He called today to pay off his balance in full. You receive 25% commission of his payment to go toward your budget. What is your total commission received from John's payment?

Answers

Answer: $20

Step-by-step explanation:

From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.

Therefore, the total commission received from John's payment will be:

= 25% × $80

= 25/100 × $80

= 0.25 × $80

= $20

The commission is $20

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

5,680÷80=
WITH REMAINDER
NO CALCULATOR IT WILL NOT WORK

Answers

Answer:

71

Step-by-step explanation:

i used my calculator :D

71 is answer
Verified ( not by calculator )

- x3 + 4x2 – 3x + 12 when x = -2​

Answers

Answer: 42

Explanation:

Image below

It would be 8 because

-(-2)*3+4*-2*2-3*(-2)+12=8

Hope this helps

If I’m wrong then I’m so sorry

(y-4)6

help please....

Answers

6y-24

6(y) =6y
4(6)= 24

2. What is the solution to the equation
1/2x + 3/2(x+1) - 1/4=5?

Answers

The answer to this question is

x=15/8

1/2x+3/2(x+1)-1/4=5

1/2x+3/2(x+1)-1/4=5

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=15/8

1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)

(1/2x+3/2x)+3/2-(1/4)=5

4/2x+3/2-(1/4)=5

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=

15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral

PROOF

If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns

2x+(6/4–1/4)=5

2(15/8)+(6/4–1/4)=5

15/4+(5/4)=5

(15+5)/4=5

20/4=5 and

5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5

C.H.

1/2x+3/2(x+1) --1/4=5

1/2 (1/x+3/ (x+1) =5+1/4

1/x + 3/x+1 =(5+1/4) ×2/1

x+ 1 +3x /x (x+1) = 10+1/2 =21/2

4x+1 = 21/2 [x^2+x]

8x+2= 21x^2+21x

21x^2 +-13 x -2 =0

a =21 b= 13 c= -2

X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21

=[13 + - ( 169 + 168 )^1/2] /2×21

Discriminat =169+168=337 >0

can someone help me‼️

Answers

Answer:

55°

Step-by-step explanation:

180° - 125° = 55°

so angle 2 is 55 degrees

I think the answer is 55 degrees

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

y = -2/3x + 300

Step-by-step explanation:

Since the line is linear, we can find the equation of the line in y=mx+b form.

First, you have to find the slope using the slope formula.  Pick two points from the graph and plug it into the equation.  It doesn't matter which ones; you will get the right answer regardless.  I picked the points (0, 300) and (450, 0).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]

You now have slope (m).  You have to find the y-intercept (b) next.  The y-intercept is the point where the line crosses the y-axis.  For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.

Since you have m and b, you can plug the values into y=mx+b.

y = mx + b

y = -2/3x + 300

Question
Example
Step by Step
In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.

Answers

Answer:

[tex]m\angle ABE=52^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

[tex]m\BAE=28^\circ[/tex]

[tex]m\BCE=58^\circ[/tex]

We also know

[tex]BC\cong CD[/tex]

[tex]AB\cong AD[/tex]

Since triangle BCD is isosceles, it follows that:

[tex]m\angle CBE=m\angle CDE[/tex]

And triangles BCD and DCE are congruent.

Thus:

[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]

And also:

[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]

Since the sum of internal angles of BCD is 180°

[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]

The sum of angles of triangle CDE is 180°, thus

[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]

Angles CED and BEA are vertical (opposite), thus:

[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]

Finally, since the sum of the angles of triangle ABE is 180°

[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]

[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]

[tex]\mathbf{m\angle ABE=52^\circ}[/tex]

What scale factor was used to produce the image?
A. 49
B. 18
C. 7
D. 1

Answers

The answer is

C. 7

You count the boxes along the green line.

(8,0) (10,14) (14,30)

Answers

Answer:

What is the answer u want dude

Step-by-step explanation:

Answer:

whats the answer

Step-by-step explanation:

4. How many terms of the series 64 + 32 + 16 + ... ... must be taken so
that the sum may be 255÷2​

Answers

Answer:

... ... = .5

Step-by-step explanation:

I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first

255 / 2 = 112.5

Then find out what 64 + 32 + 16.

64 + 32 + 16 = 112

Add 0.5 to get the same answer from 255 / 2

64 + 32 + 16 + 0.5 = 112.5

The temperature decreased 3 degrees every hour for 4 hours yesterday. How many total degrees did the temperature drop yesterday

Answers

Answer:

12

Step-by-step explanation:

determine weather the line is parallel perpendicular or neither

x = 6 and 6 — x = 8

Answers

Answer:

neither

Step-by-step explanation:

got it right 2020

can someone help me on this plz and thanks

Answers

Answer:

- 7/4

Step-by-step explanation:

y1 - y2 over x1 - x2 with the points (-3,4) and (1,-3)

-3 - 4 over 1 - (-3) --> -7/ 4

Answer:

-5/3

Step-by-step explanation:

well taking the line that hits a cross, go down how many until it meets up with another perpendicular cross, and since you write it as rise/run, you run down 5 and go over 3, and since its decreasing, it is a negative

What is the answer for - 2x + 3 > 15

Answers

Answer:

X < -6

Step-by-step explanation:

Is this set of ordered pairs a function ?
(9,9) (7,4) (1,2) (2,6) (5,0)

Answers

Answer:

Yes

Step-by-step explanation:

Every x value has one y-value.

Answer:

yes

Step-by-step explanation:

yes it is because each of the x has a unique y

9 has 9

7 has 4

1 has 2

2 has 6

5 has 0

what is 1,360/16 reduced to smallest form? (please hurry this assignment is due soon)

Answers

Answer:

85/1

Step-by-step explanation:

because both numbers are divisible by 16

Answer:

85

Step-by-step explanation:

1360 and 16 both have 16 in common. So...

1,360 ÷ 16 = 85

16 ÷ 16 =      1

85/1 = 85

The answer is 85.

Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?

Answers

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

69 ! ............................

.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.​

Answers

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

what is the slope of the line in the graph​

Answers

Answer:

1

Step-by-step explanation:

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