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77julia77 [94]
4 years ago
8

How is the rate of change in a real-world linear relationship related to the slope-intercept form of the equation that represent

s the relationship?
Mathematics
1 answer:
timofeeve [1]4 years ago
7 0
The rate of change is the slope, the coefficient of the independent variable divided by the coefficient of the dependent variable. When the coefficient of the dependent variable (usually represented by y) is 1, the slope is just the coefficient of the independent variable (usually represented by x).
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Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.
Anton [14]
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B, 
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7  [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!
6 0
4 years ago
Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
goblinko [34]
\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
x=8-7y

Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}
72-63y+8y=17
72-55y=17
-55y=17-72
-55y=-55
y=1

Now that you have y, plug it into the second equation and solve for x.

x+7y=8
x+7(1)=8
x+7=8
x=1

Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
1+7=8   <--True

Answer:
x=1 \\ y=1
5 0
4 years ago
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg
Eva8 [605]

Given:

The given expression is:

(-4x+9)^2

According to Kylie,

(-4x+9)^2=(-4x)^2+(9)^2

(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

(-4x+9)^2

According to the perfect square trinomial (a+b)^2=a^2+2ab+b^2.

(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2

(-4x+9)^2=16x^2-72x+81

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0
3 years ago
Read 2 more answers
Which of the following best describes the surface area of a solid figure
AlexFokin [52]
C. The sun of the areas of its exterior surfaces is the correct answer.
3 0
4 years ago
Read 2 more answers
A wheel has a radius of 9 inches and travels as it spins. How far does the wheel travel in one revolution? Use 3.14 for pi and r
Naddika [18.5K]
I think it will travel in one revolution is 56.52
7 0
4 years ago
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