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jeyben [28]
3 years ago
11

What is the standard form for the quadratic function?f(x) = (x – 3)2 + 5​

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

f(x)  = x² - 6x + 14

Step-by-step explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

f(x) = (x - 3)² + 5

f(x) = x² - 3x - 3x + 9 + 5

f(x) = x² - 6x + 9 + 5

f(x) = x² - 6x + 14

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Determine whether each given value of x satisfies the inequality x+1<x/3
Vinil7 [7]

x+1 < \dfrac{x}{3}\ \ \ \ |\cdot3\\\\3x+3 < x\ \ \ \ |-3\\\\3x < x-3\ \ \ \ |-x\\\\2x < -3\ \ \ \ |:2\\\\x < -1.5

Answer: (c) x = -4

5 0
3 years ago
An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr
Advocard [28]

Answer:

Value of the test statistic, z_{test}  = - 1.17

Step-by-step explanation:

Null hypothesis, H_{0}: \mu = 53.9

Alternative hypothesis, H_{a} : \mu \neq 53.9

Sample mean, \bar{X} = 53.7

Sample size, n = 110

Standard deviation, \sigma = 1.8

Significance level, \alpha = 0.02

The value of the test statistics is given by the formula:

z_{test}  = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test}  = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test}  = - 1.17

7 0
3 years ago
Given: △FKL, FK= a<br> m∠F=45°, m∠L=30°<br> Find: FL
mr Goodwill [35]

The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.

The Law of Sines tells you

... FL/sin(∠K) = FK/sin(∠L)

Solving for FL, we get

... FL = FK·sin(∠K)/sin(∠L)

... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)

... FL = 2a·sin(105°) ≈ 1.93185a

6 0
3 years ago
Name a pair of alternate interior angles in the diagram. <br> -a.<br> -b.<br> -c.<br> -d.
FrozenT [24]

Answer:

c

Step-by-step explanation:

the answer is c

alernate angles are angles that take the shape of z

8 0
3 years ago
Solve multi step equations 2(4-d+2d)=12
natka813 [3]
2(4-d+2d)=12
8-2d+4d=12
8+2d=12
2d=4
d=2
4 0
3 years ago
Read 2 more answers
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