MATHEMATICS HIGH SCHOOL

Doubling the sum of Steve's and Sophie's ages gives 38. If Sophie is 10 years old, how old is Steve?a. 4

b. 28

c. 14

d. 9

Answers

Answer 1
Answer: D. 9
You add 9 to 10 to get 19. Double that it becomes 38. All you have to do is work backwards.
An equation for this would be (x+10)2=38
x being stevens age. Please give 5 star and brainliest answer if helped!

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What are the zeros of f(x)=(x-1)(x+6)

Answers

Answer:

x = - 6, x = 1

Step-by-step explanation:

To find the zeros, let f(x) = 0, that is

(x - 1)(x + 6) = 0

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 1 = 0 ⇒ x = 1
x would equal (1,6) !!

Graph each piecewise function. Then Identify the properties.

Answers

Answer:

Shown below

Step-by-step explanation:

A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:

\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.

This function has been plotted below and we know some properties:

  • The domain is the set of all real numbers
  • The range is (-∞, ∞)
  • The function is the combination of a straight line and a parabola.
  • The point at which the line and the parabola meet is (0,4)

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.

Answers

Each spoke is 4.3 inches long.

Since the spoke is from the center of the wheel to its rim, we are looking for the radius of the circle.

Circumference = 2πr
27 = 2(3.14) r
27 = 6.28 r
27/6.28 = 6.28r/6.28
4.30 = r

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?A.–12
B.–1
C.5
D.7

Answers

Answer:

Option B. -1

Step-by-step explanation:

Brandie lives on the twelfth floor of her apartment building.

She walks down 2 flights to visit a friend = 12 - 2 = 10th floor

Then up 3 flights to deliver a message to a neighbor = 10 + 3 = 13th floor

Now Brandie walk to get back to her starting point that is 12th floor, she must walks down 1 flight.

So the answer would be option 'B' -1
B.-1 because she started on the twelfth floor she walks down 2=10 and then back up 3=13 so she has walk down 1 flight to get back.

the highest recorded temperature in the uk is 39° c. the lowest recorded temperature in the uk is - 27° c What is the difference between these two amounts?

Answers

since one is negative and you have to find the absolute value you add, getting 66 degrees celcius difference

Answer:

2

Step-by-step explanation:

I ONLY NEED HELP WITH PART BAn equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Hi there

5x+3(x-5)=6x+2x-15

Simplify both sides of the equation

5x+3(x-5)=6x+2x-15

Distribute

5x+3x-15=6x+2x-15

Combine like terms

(5x+3x)-15= (6x+2x)-15

8x-15=8x-15

Subtract 8x from both sides

8x-15-8x=8x-15-8x

-15=-15

Add 15 to both sides

-15+15=-15+15

0=0

All real numbers are solutions

To solve this equation I used " The distributive property"


I hope that's help !

Good night !


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