MATHEMATICS HIGH SCHOOL

What is the slope of y = -1 + 3x?What is the slope of y = -x + 7?
What is the slope of y = 3x + 8?
What is the y-intercept of the equation: y = 4x - 9?
What is the y-intercept of y = −3x − 2

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Answers

Answer 1

Answer:

Answer:

slope of y= -1+3x is "3"

of y=-x+7 is "-1"

of y=3x+8 is "3"

i) y intercept = "-9"

ii) y intercept = "-2"

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The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?A: x = 1; the diver jumps in the pool at 1 foot per second
B: x = 10; the diver jumps in the pool at 10 feet per second
C: x = 1; the diver hits the water 1 foot away horizontally from the board
D: x = 10; the diver hits the water 10 feet away horizontally from the board

Answers

Answer
C: x = 1; the diver hits the water 1 foot away horizontally from the board

Explanation
The question requires you to solve for x.
f(x) = −x² − 9x + 10

When f(x)=0

−x² − 9x + 10 = 0
= x²+9x-10 = 0
The product in this expression is -10
The factors of this expression is 9
Factors are 10 and -1.

x²+9x-10 = x²-1x+10x-10 = 0
=x(x-1)+10(x-1) = 0
=(x+10)(x-1) = 0
This means that;
x+10=0 or x-1=0
x = -10 x = 1.
Since distance can not be negative, x =1.

Answer:

x = 1; the diver hits the water 1 foot away horizontally from the board

Step-by-step explanation:

took the test :)

Which is bigger 13% or 3/25?

Answers

Change 13% as a fraction. It will be 13/100

Now, which is bigger? 13/100 or 3/25
Cross multiply and 13/100 is bigger.

13 3
___ X ____
100 25

13×25=325 and 3×100=300. Now you know 13/100 is bigger.

The answer is 13/100

A set of equations is given below:Equation E: c = 2d + 1
Equation F: c = 3d + 7

Which statement describes a step that can be used to find the solution to the set of equations?

Equation F can be written as c = 3(c − 1) + 7.
Equation F can be written as c = 2(c − 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.

Answers

The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.

x = y + 1
x = 3y - 1
y + 1 = 3y - 1
1 = 2y - 1
2 = 2y
1 = y

x = y + 1
x = 1 + 1
x = 2

We can use this to solve the set of equations above.

2d + 1 = 3d + 7
1 = d + 7
-6 = d

c = 2d + 1
c = 2(-6) + 1
c = -12 + 1
c = -11

Hope this helps!

Answer:

Its the last choice.

Step-by-step explanation:

I took the test

The Braves played a 9 inning baseball game. For every inning they scored 4 runs, and for every 2 runs they scored, they had 5 hits. How many hits did they have during the game?

Answers

Answer: $90\ hits$

Step-by-step explanation:

Let be "r" the total number of runs they scored during the game and "h" the total number of hits they had during the game.

You know that they play a total of 9 innings and they scored 4 runs in every inning.

This means that you can find the total number of runs they scored in 9 innings by multiplying 4 runs by 9. Then:

$r=(4)(9)\n\nr=36$

Knowing that they scored a total of 36 runs, and knowing that for every 2 runs they had 5 hits, you get that the total number of hits they had during the game is:

$h=((36)(5))/((2))\n\nh=90$

If a man travels p hours at an average rate of q miles per hour, and then r hours at an average rate of s miles per hour, what is his overall average rate of speed?

Answers

Total miles traveled in p hours = p*q miles and
Total miles traveled in r hours = r*s miles
so, average rate of speed = total miles traveled / number of hours
=[{(p*q)+(r*s)} / (p+r)] miles per hour

What is the inverse of the function y = 4x + 5?