All categories

3 years ago

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Ulleksa [173]3 years ago

3 0

I was going to help you with this one but it looks like you got it all covered !!!!

You might be interested in

1-3(x-5)=5x-12/2 <br><br><br>solve this equation

7nadin3 [17]

Answer:

x= 1/3

Step-by-step explanation:

simplify so you can isolate x quicker: 2x-5=5x-6

subtract 2x from both sides: -5=3x-6

add 6 to both sides: 1=3x

divide both side by the 3 to isolate x: 1/3=x

4 0

3 years ago

Read 2 more answers

Flying against the wind, an airplane travels 4340 kilometers in 7 hours. Flying with the wind, the same plane travels 3120 kilom

Over [174]

The rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

<h3>Howe to solve for the rate of the plane and wind</h3>

In 7 hours the kilometer traveled = 4340

P + W = 4340/7

= 620

P-W = 3120/3 hours

= 1040

2p = 1040 + 620

= 1660

p =830

W = 1040 - 830

= 210

Hence the rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

Read more on rate here

brainly.com/question/24304697

#SPJ1

3 0

1 year ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

10 months ago

Which sentence matches the mathematical equation? p-0.40p=0.60p

IRISSAK [1]

P-0.40p = 0.60p

C. Decrease by 40% is the same as multiply by 60%.

Assume that p = 10

10 - 0.40(10) = 0.60(10)
10 - 4 = 6
6 = 6

Based on the above assumption. 40% of 10 is 4 ; and 60% of 10 is 6. So, 10 less 4(40% of 10) is equal to 6 (60% of 10).

Percentage is used because 0.40 and 0.60 will be multiplied with 100% to get the equivalent percentage 0.40 x 100% = 40% ; 0.60 x 100% = 60%

7 0

3 years ago

Please help! I need help with this question.

musickatia [10]

Answer:

Step-by-step explanation:

the supplement is the angle that will add to the other angle to get 180 degrees. 180-129=51 which is B.

8 0

2 years ago