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timofeeve [1]
3 years ago
13

For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Answer:
In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:


Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:


Therefore, y is a 25% increase of x.







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What is the slope of this line?
MrMuchimi

We can use the coordinates (-4, 5) and (0, 6) to find the slope.

Slope Formula: \frac{y2-y1}{x2-x1}

Solve: \frac{6 - 5}{0 - (-4)} = \frac{1}{4}

The slope of the line is \Large\boxed{\mathsf{1/4}}

Written in slope-intercept form: y = 1/4x + 6

Hope This Helped! Good Luck!

3 0
4 years ago
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Plz help me well mark brainliest if correct!!...
valina [46]

Answer:

You should stick with option D

4 0
3 years ago
Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

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4 0
3 years ago
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3

So, from the conditional probability, we can calculate:

P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}

Answer E.

5 0
3 years ago
Please answer asap!!!
Scilla [17]

Answer:

z = 66

Step-by-step explanation:

RS = z

QT = z - 33

Based on the midsegment theorem, QT = ½(RS)

Plug in the values

z - 33 = ½(z)

Multiply both sides by 2

2(z - 33) = z

2z - 66 = z

Add 66 to both sides

2z = z + 66

Subtract z from both sides

2z - z = 66

z = 66

8 0
3 years ago
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