MATHEMATICS HIGH SCHOOL

I need help with all of it
I need help with all of it - 1

Answers

Answer 1
Answer:

Domain = x values; Range = y values

1) Domain: [0,6] Range: [-3,3]

2) Domain: (-infinity, infinity) Range: [-1, infinity)

3) Domain: [-2, 5] Range: [-2, 1]

4) Domain: (-infinity, 4] Range: (-infinity, infinity)

5) Domain: [-3, 3] Range: [-4, 4]

6) Domain: (-infinity, 4] Range: (-infinity, infinity)

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Today the coast of a gallon of gas is $2.65. Every week for the next 10 weeks, it will increase by $0.05.a gallon. If you wrote a linear equation to model this situation,what would the slope be?

Answers

We don't need to know how many weeks it kept up
that same rate of increase.

You just told us that it increases by $0.05 a gallon each week.

So the slope of a graph during that period is  $0.05 / week.

Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers

Answers

Answer:

x {}^(2) - 8x + 5 \n = x {}^(2) - 8 x+ 5 + 11 - 11 \n = x {}^(2) - 8x +16 - 11 \n = (x - 4) {}^(2) - 11 \n

A is 4 and b is 11

Work out 3\5 of 7?

Working out will help too, thanks:)

Answers

(3)/(5)\cdot7=(21)/(5)=4.2

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.y = –2x + 4

6x + 3y =


A: –12

B: –4

C: 0

D: 4

E: 12

Answers

For this case we have the following system of equations:

Rewriting equation 1 we have:

Therefore, the equivalent system is:

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

12

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

 Given a system of equation y = –2x + 4  and 6x + 3y = ?

We have to check for which value the '?'  would result in a system of equations with no solution.

Consider a system of equation  a_1x+b_1y+c_1=0 \n\na_2x+b_2y+c_2=0

For the system to have no solution the condition is,

(a_1)/(a_2)=(b_1)/(b_2)\neq (c_1)/(c_2)

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4   ⇒ 2x +y - 4 = 0  

and 6x + 3y = v ⇒  6x + 3y - v =0

On comparing, we get,

a_1=2 , b_1=1,c_1=-4\n\n\a_2=6,b_2=3,c_3=-v

Substitute the values in condition for no solution , we get ,

(2)/(6)=(1)/(3)\neq (-4)/(-v)

Consider second and third ratio, we get,

(1)/(3)\neq (-4)/(-v)

Solve for v , we get,

(1)/(3)\neq (-4)/(-v) \n\n \Rightarrow v \neq 12  

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship between g and w?g = w + 5
g = w − 2

g = w − 5
g = w + 2

w = 5g
w = g − 2

w = 5g
w = g + 2

Answers

Your answer is the first choice, g = w + 5    &    g = w − 2, because if variable g is 5 MORE THAN variable w, that would mean you would have to add 5 to w in order to get g, (g = w + 5), but if it said it was 5 TIMES MORE THAN, THHHHEEEENNNNN that would mean w times 5.
Now da second problem is g = w - 2, because they said that g is 2 LESS THAN w, so you would have to subtract 2 from w to get g, also known as g = w - 2.
I hope I helped! =D
g=w+5
g=w-2
This confused me at first as well, but just try and make a picture in your mind, anyway, if you add 5 to W, then it is equal to g because "Variable g is 5 more than variable w" 
If you subtract 2 from w it is equal to g because Variable g is also 2 less than w."

given the graph of the line represented by the equation f(x)=-2x+b,if b is increased 4 units, the graph of the new line would be shifted 4 units 1.Right 2.up 3.left 4.down

Answers

The answer to the question if b is increased by 4 units the graph of the new line would be shifted 4 units is 2. up

Since f(x) = -2x + b, if b is increased by 4 units, we have

f(x) = -2x + b + 4

This thus shifts the fuction 4 units up, since addition of a constant to a fuction shifts its upwards.

so, if b is increased by 4 units the graph of the new line would be shifted 4 units up.

So, the answer to the question if b is increased by 4 units the graph of the new line would be shifted 4 units is 2. up

Learn more about graph of a line here:

brainly.com/question/17716103
Increasing function value shifts the line up.
answer: 2. up
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