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Rus_ich [418]
3 years ago
6

Y=-3x+3/4 what is the slope and y intercept

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

the slope is equal to m or in this case 3. the y intercept is equal to b or 3/4

Step-by-step explanation:

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Please solve with steps.
Kitty [74]

Answer: a) h = 2

              b) a = -\dfrac{3}{4}     k = \bold{3\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k     where

  • a is the vertical stretch
  • (h, k) is the vertex

The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.

Two points are given: \bigg(0, \dfrac{1}{2}\bigg)\ and\ \bigg(3, 2 \dfrac{3}{4}\bigg) . We can use these points to create two equations and then solve the system to find the a and k-values.

y = a(x - 2)² + k

\bigg(0, \dfrac{1}{2}\bigg)\\\rightarrow \dfrac{1}{2}=a(0-2)^2+k\\\\\rightarrow \dfrac{1}{2}=4a+k\\\\\rightarrow \dfrac{1}{2}-4a=k\\\\\\\bigg(3, 2\dfrac{3}{4}\bigg)\\\rightarrow 2\dfrac{3}{4}=a(3-2)^2+k\\\\\rightarrow 2\dfrac{3}{4}=a+k\\\\\rightarrow 2\dfrac{3}{4}-a=k\\\\\\\\\dfrac{1}{2}-4a=2\dfrac{3}{4}-a\\\\\dfrac{1}{2}-2\dfrac{3}{4}=4a-a\\\\\dfrac{2}{4}-\dfrac{11}{4}=3a\\\\-\dfrac{9}{4}=3a\\\\-\dfrac{9}{4\cdot 3}=\dfrac{3a}{3}\\\\ \bold{-\dfrac{3}{4}=a}

Solve for k:

2\dfrac{3}{4}-a=k\\\\\\2\dfrac{3}{4}-\bigg(-\dfrac{3}{4}\bigg)=k\\\\\\\bold{3\dfrac{1}{2}=k}

5 0
3 years ago
A scientist studying insects starts with a population of 10. The population triples every hour. How many insects will there be a
Bumek [7]
10 is the right answer because the population increases 
5 0
3 years ago
Read 2 more answers
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
Illusion [34]

Answer:

The diameter of the circle is 22 units.

Step-by-step explanation:

x² + y² - 16x + 12y = 21      I graphed this equation on the graph below.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
IN DESPERATE NEED OF HELP!!!! <br> WILL MARK BRAINLIEST!!
White raven [17]
For the squirrel questions
1.c
2.b
3.d
4.a
7 0
3 years ago
Read 2 more answers
Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co
Tju [1.3M]

Answer:

Copy's area is 16 times bigger then triangle area.

Step-by-step explanation:

Given:

Area of copy = 72 unit²

Find:

How bigger copy compared to triangle

Computation:

Area of triangle = [1/2][base][height]

Area of triangle = [1/2][3][3]

Area of triangle = 4.5 unit²

So.

Area of copy / Area of triangle

72 / 4.5

16

So,

Copy's area is 16 times bigger then triangle area.

3 0
3 years ago
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