MATHEMATICS HIGH SCHOOL

Justin is asked to solve the following system of linear equations using the elimination method.5x − 12y = 3
−20x + 14y = 13

Which of the coefficients should Justin try to change so that it cancels with another coefficient?

Answers

Answer 1

Answer:

Answer:

B, 5

Step-by-step explanation:

Got it correct

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The graph of f(x)=3x is reflected across the x-axis. Write a function g(x) to describe the new graph. g(x)=___

Answers

The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a reflection across the x-axis?

Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

To determine the graph of f(x) = 3x is reflected across the x-axis.

So the graph of f(x) = 3x is reflected across the x-axis.

⇒ g(x) = f(-x) = 3x

Hence, the graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Answer:

g(x) = -f(x)

Step-by-step explanation:

When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

Can you please help me with this question.

Answers

The answer is B
Hope this helped

The answer is "B". You have 20 coins and d represents the amount of dimes and q, the amount of quarters. Therefore, q+d = 20. Also the value of dimes is equal to .1 times the number of dimes. Value of quarters is equal to .25 times the amount of quarters. Therefore, .1d + .25q = 4.25

What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x plus 4, all over the quantity of x plus 3?

Answers

Answer: $(4x^2+24x+31)/(3x^2+13x+12)$

Step-by-step explanation:

Since the given expression ,

$(x+5)/(3x+4) + (x+4)/(x+3)$

= $((x+5)(x+3)+(x+4)(3x+4))/((3x+4)(x+3))$ ( by taking the LCM for solving the fraction)

= $(x^2+5x+3x+15+3x^2+12x+4x+16)/(3x^2+9x+4x+12)$ ( By multiplying)

= $(x^2+8x+15+3x^2+16x+16)/(3x^2+13x+12)$

= $(4x^2+24x+31)/(3x^2+13x+12)$ ( by adding the like terms)

$(x + 5)/(3x + 4) + (x + 4)/(x + 3) = ((x + 5)(x + 3))/((3x + 4)(x + 3)) + ((x + 4)(3x + 4))/((3x + 4)(x + 3)) = (x(x + 3) + 5(x + 3))/((3x(x + 3) + 4(x + 3)) + (x(3x + 4) + 4(3x + 4))/(3x(x + 3) + 4(x + 3)) = (x(x) + x(3) + 5(x) + 5(3))/(3x(x) + 3x(3) + 4(x) + 4(3)) + (x(3x) + x(4) + 4(3x) + 4(4))/(3x(x) + 3x(3) + 4(x) + 4(3)) = (x^(2) + 3x + 5x + 15)/(3x^(2) + 9x + 4x + 12) + (3x^(2) + 4x + 12x + 16)/(3x^(2) + 9x + 4x + 12) = (x^(2) + 8x + 15)/(3x^(2) + 13x + 12) + (3x^(2) + 16x + 16)/(3x^(2) + 13x + 12) = ((x^(2) + 8x + 15) + (3x^(2) + 16x + 16))/(3x^(2) + 13x + 12) = ((x^(2) + 3x^(2)) + (8x + 16x) + (15 + 16))/(3x^(2) + 13x + 12) = (4x^(2) + 24x + 31)/(3x^(2) + 13x + 12)$

You have 324 ft^2 of fabric to make a circular play parachute for kids. What is the radius of the largest parachute you can make? Round to the nearest tenth of a foot.

Answers

Area of a circular play parachute:
A = 324 ft²
A = r² π
r² π = 324
r² = 324 : 3.14
r² = 103.1874
r = √103.1874
r = 10.157987 ≈ 10.2 ft

Please answer the question from the attachment.

Answers

so if you want to find x then all you have to do is follow this
(20x + 10)/2 = 16x - 1
10x + 5 = 16x - 1
6x = 6
x = 1

Angle at centre = 2 * Angle at circumference.

Angle at centre = 20x + 10

Angle at circumference = 17x - 2

20x + 10 = 2*(17x - 2)
20x + 10 = 2*17x - 2*2
20x + 10 = 34x - 4
20x - 34x = -4 - 10
-14x = -14

x = -14/-14
x = 1.

1st Option.

Gavin buys 89 blue pansies and 86 yellow pansies he will plant the flowers in 5 rows with an equal number of plants in each row how many plants will be in each row

Answers

Answer

Find out the how many plants will be in each row.

To prove

Let us assume that the number of plants in each row be x.

As given

Gavin buys 89 blue pansies and 86 yellow pansies

he will plant the flowers in 5 rows with an equal number of plants in each row.

Total number of flowers Gavin buys = 89 + 86

= 175

The number of plants in each row

$x = (175)/(5)$

x = 35

Therefore the number of plants in each row be 35 .

The Answer is 35 because if you divide 89 by 5 it gives you 17.8 and 86 by 5 gives you 17.2. When you round 17.2 it is still 17 and 17.8 is 18. And 17+18=35

35*5=175

89+86=175

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