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3 years ago

Please help me with these 5 questions!

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

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A square has a side length of X centimeters. One dimension increases by 4 cm and the other dimension increases by 2 cm, forming

timama [110]

(a) Look at the picture below: we started with the square ABCD, with side length $x$ , and we built the rectangle AEFG such that

$AE=AB+4=x+4,\quad AG=AC+2=x+2$

(b) Since the dimensions of AEFG are $x+4$ and $x+2$ , its area will be the product of its dimensions:

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$A(x)=x^2+6x+8$

(d) Since $A(x)$ is a polynomial with degree 2, it represents a parabola. In order to find the x intercept, we must set $y=0$ :

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Similarly, in order to find the y intercept, we must set $x=0$ :

$A(0)=0^2+6\cdot 0+8=8$

The x-coordinate of the vertex is given by

$x=-\dfrac{b}{2a}=-\dfrac{6}{2}=-3$

And its y coordinate is given by

$A(-3)=(-3)^2+6\cdot (-3)+8=9-18+8=-1$

The line of symmetry is the vertical line passing through the vertex, so it must be

$x=-3$

(see the second picture for the graph)

(e) The graph opens upward. We knew that from the equation, because given a parabola

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3 years ago

Find the surface area of the triangular prism?.... and 31 is not the answer

irga5000 [103]

Answer:

216 sq m

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)*L

Where,

b = 6 m

h = 8 m

s1 = 10 m

s2 = 8 m

s3 = 6 m

L = 7 m

Plug in the values

Surface area = 6*8 + (10 + 8 + 6)*7

Surface Area = 48 + 24*7 = 216 m²

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3 years ago

A pen is $1 cheaper than a stapler. Their total price is $5.20. Find the price of the pen.

Arada [10]

Answer:

1.10

Step-by-step explanation:

i think

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3 years ago

Read 2 more answers

Given the polynomial f(x)=8x5−4x3 6x 15

Aleonysh [2.5K]

Hello,

Answer D 5/4

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and div 8={1,2,4,8}
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3 years ago

Gabriel saves 40% of his monthly pay check for collage. He earned $270 last month. How much money did Gabriel save for collage

Ivan

Hi there!

I do not know the other values of the pay check, so I will explain to you how to solve for 40% of the 270 dollars. To solve, we'll need to set up a proportion. That proportion is 40/100 = x/270. Next, we need to cross-multiply: 100x = 10800. Lastly, we'll divide to figure out what 40% of 270 is. x = 108.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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4 years ago