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Aneli [31]
2 years ago
9

What does x equal in the function: f(-11)=5x+1

Mathematics
1 answer:
mestny [16]2 years ago
4 0

Answer:i believe the answer is -54

Hope this helped!

Step-by-step explanation:

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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
2 years ago
A civil engineer is designing a public parking lot for the new town hall. The number of cars in each row should be six less than
alisha [4.7K]

The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

<h3>How to determine the equation</h3>

Let the number of rows be x

Number of cars in each row = x - 6 = 56

Number of rows for parking lot = 2x

Then,

Number of cars for new parking lot = 2x ( x - 6 = 56)

Expand the expression,

2 ( x - 6 = 56)

2x² - 12x = 112

Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

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brainly.com/question/1781657

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7 0
1 year ago
I am trying to graduate HS please help me out!!!
vichka [17]
1. To solve this exercise, you must apply the formula for calculate the area of a trapezoid, which is shown below:
<span> 
 A=(b1+b2/2)h
</span><span> 
 A is the area of the trapezoid.
</span><span> b1 is the larger base of the trapezoid (b1=16-4=12 ft).
</span><span> b2 is the smaller base of the trapezoid (b2=10-4=6 ft).
</span><span> h is the height of the trapezoid (h=12-4=8 ft)
</span><span> 
 2. When you substitute these values into the formula A=(b1+b2/2)h, you obtain:
</span><span> 
 A=(b1+b2/2)h
</span><span> A=(12 ft+6 ft/2)(8 ft)
</span><span> A=9 ftx8ft
</span><span> A=72 ft² 
</span><span> 
 3. </span><span>The length of fencing is:</span>  a²=b²+c² a=√b²+c² a=√(8 ft)²+(6 ft)² a=10 ft  Perimeter (Length of fencing)=12 ft+8 ft+6 ft+10 ft=36 ft
6 0
3 years ago
Jim cuts the grass every 7 days and works in the garden every 3 days. If he cut the grass and worked in the garden on June 1st,
Flura [38]

Answer:

june 4th

Step-by-step explanation:

3 0
3 years ago
Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22.
skad [1K]

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

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8 0
1 year ago
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