MATHEMATICS HIGH SCHOOL

Consider the following pair of equations: −x − y = −5
y = x + 1

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−2, 3)

(3, −2)

(2, 3)

(3, 2)

Answers

Answer 1
Answer: -x - y = -5
y = x + 1

-x -(x +1) = -5
-x -x -1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2

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

(2,3)  Third Option

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1. Sarah has an average of 92.5 for her 3 science tests. What does she need to make on the 4th test to get a 94% average. 2.The pep club is selling flower arrangements with a choice of 4 different types of flowers, 3 kinds of greenery, and with or without baby's breath. How many different flower arrangement's do they offer.

Please give me the explanations, not just the answers. Also please hurry, I need the answers quick.

Thanks!

Answers

1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol

so (92.5+x)/(2)=94
92.5 is the avg number for the last 3 tests
"x" is the 4th test score which we want to find out
"2" is the total number of numbers being added together

so now lets get x to one side

92.5+ x=94*2 (multiply 2 to both sides)
92.5+x=188
x=188-92.5  (subtract 92.5 from both sides)
x= 95.5  this is the score she need to make to avg 94%

2) you can draw a tree diagram. for example Flower1 branches off into 3 diff greens and then each of those greens branch off into 2 for with or with babies breath.

or you can simple multiply 4*3*2. you can do this because all choices are included with no restriction

your total number of options is 24

Find a cubic function with the given zeros. 7, -3, 2

Answers

x = 7, -3, 2
(x - 7)(x + 3)(x - 2) = 0
(x - 7)(x^2 + x - 6) = 0
x^3 - 6x^2 - 13x + 42 = 0

Describe the cross section. pentagon trapezoid hexagon cube

Answers

Cross section is the shape that you get when you cut through an object. It can be done horizontally or vertically or in any direction. If we cut through a cube, we will get a square. The cross section of a pentagonal prism is a pentagon; hexagonal prism a hexagon.

Math Help


Explain when is a rational expression restricted.

Answers

basically, domain is all real numbers that cause an not allowed
some things that aren't allowed are dividing by zero and taking the square root of a number less than zero, restrict all values that make thos things hapen

exapmle

a/b, b can not be zero

(3+x)/(4-x)
x cannot be  4 since that would be dividing by zero


another example
√(x-3)
x cannot be less than 3 because that would make a sqrt of a negative

basiccally restrictions are not allowed becasue we don't understnad what happens when we break them

Simply and solve this equation for q: 3q +5 +2 q -5 =65

Answers

Hello,

3q+5+2q-5=65
==>5q=65
==>q=13

What is 5,613.748 rounded to the nearest tenth

Answers

Answer: 5,613.7

Step-by-step explanation:

To round the number 5,613.748 to the nearest tenth, look at the digit in the hundredths place, which is the 4. Since it's less than 5, you leave the tenths place (7) as it is, and the number rounded to the nearest tenth is:

5,613.7
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Help me please cant figure it outD;