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3 years ago

QUICK I NEED HELP! I WILL MARK BRAINLIEST!

Mathematics

2 answers:

Vesnalui [34]3 years ago

8 0

Answer:

Step-by-step explanation:

$y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4$

<em><u>Standard equation of a line with slope, m and y - intercept b is </u></em><em><u>y = mx + b.</u></em>

Clearly. for the second equation has a different coefficient for x.

a ) The coefficient for x , is the slope of the line.

Though the y - intercept for each equation is same = - 4.

For example :

Expression A = 2 , when x = 1

Expression B = 8 , when x = 1

Expression C = 2 , when x = 1

b) From above :

$y_A \ and \ y_C \ are \ the \ same \ expression.$

c) Expression A and C are equivalent because the coefficient of x

is the same for A and C.

lianna [129]3 years ago

6 0

Answer:

go a head what can i help you with

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In her free time, isabelle likes to read. she kept track of the number of pages in each book she read last summer. this box plot

Free_Kalibri [48]

200 is the median (50%) of the data represented in the box plot. The fraction of the books has 200 or fewer pages is: 1/2.

<h3>What is the Median of a Data in a Box Plot?</h3>

In a box plot, the median is indicated as the value marked by the vertical line that divides the rectangular box of the box plot.

The median is the middle of the data and represents the 50th percentile. That is 1/2 the data.

In the box plot given, 200 pages is the median. Therefore, the fraction of the books that have 200 or fewer pages is: 1/2.

Learn more about box plot on:

brainly.com/question/14277132

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8 0

1 year ago

A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. The

Stolb23 [73]

Answer:

Maria

Step-by-step explanation:

A typical snake bite delivers 0.0045 grams of venom.

Maria wrote it in scientific notation as $4.5\times 10^{-3}$

Tammy wrote it in scientific notation as $4.5\times 10^{3}$

Any number can be written in the form of scientific notation as follows :

$N=a\times 10^b$ (a is real no and b is integer)

The given no is 0.0045.

There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.

$0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}$

Hence, Maria is correct.

6 0

3 years ago

Please help pretty please.

Masteriza [31]

Answer:

reflection then translation

Step-by-step explanation:

you reflected of the y axis and then you translated 2 left and 5 up which brings you to 3

3 0

1 year ago

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

1 year ago

Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

5 0

3 years ago