Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.x + y = 2
x = 1

Answers

Answer 1
Answer: Solution is (1,1) where two lines intersect 
Answer 2
Answer:

Answer:

This would be the correct answer


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A basketball hoop has adiameter of approximately
18 inches. What is the
circumference of the
basketball hoop?

Answers

The perimeter of the basketball hoop is 18π inches.

The circumference of a circle can be found using the formula:

C = πd

where C is the circumference and d is the diameter of the circle.

In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:

C = π(18)

Using a calculator or approximating π to 3.14, we can evaluate this expression to get:

C ≈ 56.52 inches

Therefore, the circumference of the basketball hoop is approximately 56.52 inches.

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Danny charges $35 for 3 hours of swimming lessons.Martin charges $24 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny offers better deal .

Step-by-step explanation:

As given

Danny charges $35 for 3 hours of swimming lessons.

Cost\ of\ one\ hour = (Total\ cost)/(Total\ hours)

Cost\ of\ one\ hour = (35)/(3)

Cost of one hour = $ 11.67 (Approx)

Martin charges $24 for 2 hours of swimming lessons.

Cost\ of\ one\ hour = (Total\ cost)/(Total\ hours)

Cost\ of\ one\ hour = (24)/(2)

Cost of one hour = $ 12

As the cost charge by Danny for one hour is less as cost charge by Martin .

Therefore Danny offers better deal .


Danny charges about 11.67 per hour

Martin charges about 12 per hour

So, Danny offers a better deal.

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK

Answers

42 cups of sugar should be used if 21 cups of flour are used

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

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Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Answers

Answer:

2.4

Step-by-step explanation:

  • √(x² +49) = x + 5
  • (√(x² +49) )²= (x + 5)²       ⇒  square of both sides
  • x² + 49 = x² + 10x + 25     ⇒  simplifying, x² get cancelled
  • 10x = 49 -25
  • 10x = 24
  • x= 24/10
  • x= 2.4

Answer is  2.4

Answer:

12/5

Step-by-step explanation:

2+3i divided by 3-3i ( a+bi form)

Answers

(2+3i):(3-3i)=(2+3i)/(3-3i)\cdot(3+3i)/(3+3i)=((2+3i)(3+3i))/((3-3i)(3+3i))=(6+6i+9i-9)/(3^2-(3i)^2)=(-3+15i)/(9+9)\n\n=(-3+15i)/(18)=-(3)/(18)+(15i)/(18)=-(1)/(6)+(5)/(6)i

One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown belowWhich option below best describes the maximums of these two functions?

Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.

Answers

We are comparing maxima.  From the graph we know that the max of one graph is +2 at  x = -2.  What about the other graph?  Need to find the vertex to find the max.

Complete the square of h(x) = -x^2 + 4x - 2:

h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4)       -2+4
= -(x-2)^2 + 2            The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.

The 2 graphs have the same max, one at x = -2 and one at x = + 2.

Answer:

Functions g and h have the same maximum of 2.

Step-by-step explanation: