Use the graph to write a linear function that relates y to x
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Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

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Answer [tex]m=250w[/tex]

Step-by-step explanation:

To write an engebraic expression, you should first start off by defining the variables.

Money earned = m

Weeks = w

Next, you have to define the relationship.

Shawn earns $250 per week, so in 2 weeks, he will earn 500, 3 weeks, 750, and so on. I did this by mulitplying, so amount of weeks times the amount of money earned would equal the total money he earned over "w" amount of weeks.

To create the expression, you just have to put the numbers and variables together.

m (money earned over "w" weeks) = 250 (money per week) w (number of weeks).

m=250w

Answer:

about 63.59 ft squared

Step-by-step explanation:

9/2 = 4.5--> Radius

Now we use the Area formula: piR^2 (Pi x radius squared)

4.5^2 = 20.25

20.25 x 3.14 = 63.59 -(rounded answer)

Answer:

78310985281

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1.5 cups a person

1.5 x 8 is 12

Answer:

3 sign changes from the highest order term to lowest

Answer: 65 = x + 2

x = 63 inches

Step-by-step explanation:

Answer: 67

Step-by-step explanation: a p e x

Answer:

no. a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

Answer:

23 ft

Step-by-step explanation:

94 - 71 = 23 feet

Answer: [tex]m:4; \ b=4[/tex]

Step-by-step explanation:

Given

Slope is 4

Y-intercept is 4

For the slope-intercept form of line i.e. [tex]y=mx+b[/tex]

[tex]m=\text{slope of line}\\b=\text{Y-intercept of the line}[/tex]

So, we can write

[tex]y=4x+4[/tex]

[tex]m:4; \ b=4[/tex]

Answer:

29=1/2

30=1/5

31=1/12

32=1/6

33=1/7

Step-by-step explanation:

I just counted the numbers and then put them as fraction.

Answer:

6.08

Step-by-step explanation:

10.00 - 5.25 + 1.33

Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

Answer:

sin x=55/73

Sinz=48/73

cosx=48/78

cosz=55/73

Step-by-step explanation:

Using SOHCAHTOA

Answer:

I think it’s 7.8 repeating

Step-by-step explanation:

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]

Calculate the area of the half-circle.

Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].

So,

[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

So,

[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]

Thus, the correct answer is an option (D). i.e., 79%.

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Answer:

It's B

Step-by-step explanation:

Answer:

bottom left graph

Step-by-step explanation:

The function g(x) is a translation of function f(x). It is the function f(x) moved 3 units down.

The vertex of the parabola of f(x) is (0, 0).

The vertex of the parabola of g(x) is (0, -3).

Answer:

Answer:

35,000,000 miligrams

Step-by-step explanation:

1 kilograms= 1,000,000

1,000,000×35=35,000,000

Answer:

Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

Answer:

1,946

Step-by-step explanation:

251+175+1500+20=1,946

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Answer:

15

Step-by-step explanation:

in a triangle

base (b) = 5 cm

height (h) = 6 cm

Area of the triangle

= 1/2 * b * h

= 1/2 * 5 * 6

= 5 * 3

= 15 cm²

hope it helps :)

Y=12, this is just a guess. Sorry if its wrong.

Answer:  1914 sq. ft

Step-by-step explanation:

area of circle= pi x radius squared

       =3.14 x 10^2

       =3.14x100

      =314

area triangle= 1/2 base x height

           =1/2(20x60)

           = 1/2(1200)

           = 600

area of rectangle= length x width

                 =50 x 20

                  = 1000

add the totals  1000 + 600 + 314=1914 sq. ft.

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces