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2 years ago

Write equation in standard form y-1= -1/4(x-6)

Mathematics

1 answer:

const2013 [10]2 years ago

6 0

The standard form:

$Ax+By=C$

---------------------------------------

$y-1=-\dfrac{1}{4}(x-6)$ use distributive property

$y-1=-\dfrac{1}{4}x+\dfrac{3}{2}$ multiply both sides by 8

$8y-8=-2x+4\cdot3$

$8y-8=-2x+12$ add 2x to both sides

$2x+8y-8=12$ add 8 to both sides

$\boxed{2x+8y=20}$

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12/7=k/8 slove for k

12345 [234]

Answer:

k = 96/7

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

In this given graph, f(x) is a polynomial modeling the Pi-guy, the math superhero, flying around. Write an equation in terms of

saw5 [17]

Answer:

The given transformation are;

1) Parent function = f(x)

2) Transformation A = f(x + 5)

3) Transformation B = f(x) + 3

Step-by-step explanation:

1. The question being asked in the problem is the representation of the transformation of the given figure which is a function (the curved line that runs through the hands of Pi-guy in the drawing) in functional notation using f(x) to represent the function

2. Try using changes along the x axis as changes in the independent variable, x, in the function f(x) as follows;

Initial position of the parent function = f(x)

Transformation A, which is a translation, 5 units to the right along the x axis = f(x + 5)

Transformation along the y-axis where x = 0, as addition or subtraction to the parent function

Therefore;

Transformation B, which is a translation, 3 units to the up along the y-axis with x at 0 = f(x) + 3

3. The outline of the answers can be presented as follows

The given transformation are;

1) Parent function = f(x)

2) Transformation A = f(x + 5)

3) Transformation B = f(x) + 3

4. The above expression can be checked by considering the curve of the function as a figure and performing the given translations on all points on the figure

4 0

3 years ago

The sum of two numbers is 17

ZanzabumX [31]

The numbers are 10 and 7

X = 10
Y= 7

X + Y = 17
X - Y = 3

3 0

3 years ago

One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples

JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± $t_{n_1+n_2-2;1-\alpha /2}$ * $Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }$ ]

$Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11$

$t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708$

[(82.3-81.2) ± 1.708* (6.11* $\sqrt{\frac{1}{15}+\frac{1}{12} }$ ]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0

3 years ago

Which is greater 36÷(4×3) or 54-48-(16÷4

sertanlavr [38]

Step-by-step explanation:

36 ÷ (4 x 3)

36 ÷ 12

= 3

54 - 48 - (16 ÷ 4)

54 - 48 - 4

= 2

So first one is greater

8 0

3 years ago