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VLD [36.1K]
3 years ago
8

Write an equation for the line that has a slope of 1/2 and passes though the point (-2,5)?

Mathematics
2 answers:
IgorC [24]3 years ago
7 0

Answer: y = 1/2x + 6

Step-by-step explanation:

b = y1 - m • x1

Plug everything in:

b = 5 - (1/2) • -2

= 6

Written in y = mx + b is:

y = 1/2x + 6

Schach [20]3 years ago
5 0

Answer:

y=1/2x+6

Step-by-step explanation:

Y=MX+B

m= slope=1/2

b= y-intercept

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Answer:

these shapes are congruent, because they have the same shape and the angles are the same

Step-by-step explanation:

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A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of
Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= \frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40

= 9+8+3.4+3.6+3.8+6=33.8

Hence, the third option 33.8 is the correct expected value.

3 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
3 years ago
Please help me..please
myrzilka [38]
Why are you asking me for help
6 0
3 years ago
Mathematics question in the screenshot below.
irga5000 [103]

Step-by-step explanation:

1/6×100%=50/3%

3/24×100%=25/4%

3/8×100%=75/2%

=>50/3%+25/4%+75/2%+x=100%

=>100%-725/12%=x

=>x=59 and 5/12

4 0
3 years ago
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