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2 years ago

Hi- I need help please to get my HS diploma...did not graduate :(

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

4 0

Answer:

Step-by-step explanation:

first for the easy one : the curve line is dotted, if the line points are NOT part of the solution. and it is solid, if the points are included.

you know what the curve line indicates ? it indicates the points for which there is equality.

so, if there is a ">=" or "<=" relation, then that includes equality, and the curve is solid.

if there is only a true inequality ("<", ">"), then the curve is dotted, as the equality is not included.

so, I how this is now really clear.

in our case here (I suspect it really looks like this)

y + 4x <= x² + 2

we have a "<=" sign, so, the curve is ..., well ? ... well ? ...

well ? ... well ? ... solid !

and we still treat inequalities as much as possible as regular equalities.

so,

y <= x² - 4x + 2 (after subtracting 4x from both sides).

and now you see it, right ?

all y values that are smaller or equal to the quadratic expression.

SMALLER ! so, BELOW the curve (as the smaller y values are represented by the lower part of the y-axis).

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Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the

AURORKA [14]

Answer:

The standard form of line is

$-3x+y=-2$

Step-by-step explanation:

we are given a line

slope=3

so,

$m=3$

y-intercept of -2

so,

$b=-2$

now, we can use slope-intercept form of line

$y=mx+b$

now, we can plug values

$y=3x-2$

we can write it in standard form of line

$ax+by=c$

$y=3x-2$

we can subtract both sides by 3x

$y-3x=3x-2-3x$

$y-3x=-2$

$-3x+y=-2$

So, the standard form of line is

$-3x+y=-2$

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3 years ago

Read 2 more answers

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

DochEvi [55]

1. Find the surface area of the rectangular prism. (1 point)
Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 
a rectangular has six sides, the total surface area is equal to 6 plains: 
2*W*L + 2*L*H + 2*L*W 
= 2*(W*L + L*H + L*W) 
= 2 * (2*3 + 3*4 + 4*2) 
= 2 * ( 6 + 12 + 8 ) 
= 2 * 26 
= 52 ................... the last choice 

2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) 

Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units 

3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) 
Length: 15 cm, Diameter: 2 cm 
A cylinder has 3 surfaces: two circles + one curved surface area 
...... two circles of 2cm diameter (1cm radius) 
A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm 
Curved surface area = circumference * length 
.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 
curved surface area = 6.28*15 = 94.2 sq. cm 

Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm 

4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) 
two pieces of paper ... one for bottom = 8*10 = 80 sq.in 
the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in 
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3 years ago

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Define the type of sequence below. -2, 0, 2, 4, 6,

mihalych1998 [28]

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.

We can see from our given sequence that each next term is 2 more than the previous term of the sequence.

$0--2=0+2=2$

$2-0=2$

$6-4=2$

Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.

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3 years ago

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What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

riadik2000 [5.3K]

The question says that the line is parallel to the line above, so it is horizontal. When the line is horizontal it will be a 'Y=' Then, you take a look at the y axis and check to see what part of the axis the line is going through. Therefore, you can figure out that the awnser is C. I hope this explanation helps!

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3 years ago

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What is the rate of change shown in the graph

ahrayia [7]

Answer:

-4/3 (Answer A)

Step-by-step explanation:

Here we go from the point (-3, 3) on the left to the point (0, -1) on the right. It is immediately apparent that x (the run) increases by 3 from -3 to 0 and that y (the rise) decreases by 4 from 3 to -1. Thus, the slope of this line (which is also the rate of change) is

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3 years ago