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3 years ago

The function f is such that f(x) = x^2 – 2x + 3

Mathematics

2 answers:

aev [14]3 years ago

4 0

Answer:

x = - 4, x = 6

Step-by-step explanation:

Given

f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives

x² - 2x + 3 = 27 ( subtract 27 from both sides )

x² - 2x - 24 = 0 ← in standard form

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)

The factors are - 6 and + 4, since

- 6 × 4 = - 24 and - 6 + 4 = - 2, thus

(x - 6)(x + 4) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 4 = 0 ⇒ x = - 4

NikAS [45]3 years ago

4 0

f(x)= 27

x^2 -2x+3=27

×^-2x+3-27=0

x^2x-24=0

(x-6)(x-4)=0

x-6=0 or ×-4=0

×=6or ×=4

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According to the graph what is the value of the constant in the equation below

Trava [24]

Take the point (10,5)
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2 years ago

A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.

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2 years ago

Solve the equation for y.<br> 10x -4y = -20

Vinvika [58]

Answer:

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Step-by-step explanation:

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2 years ago

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cupoosta [38]

Answer:

d) 40.78 inches

Step-by-step explanation:

See attached for details

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2 years ago

⚠️‼️ HELP PLEASE GIVING POINTS

Nezavi [6.7K]

Answer:

CBD = 63 degrees

Step-by-step explanation:

To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:

(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6

Now that we know the value of x, we factor it in to CBD to find its true value:

6x+27
6(6)+27
36+27
= 63 degrees

To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:

7x-9
7(6)-9
42-9
= 33 degrees

63 + 33 = 96

The answer is correct. CBD = 63 degrees and ABC = 33 degrees.

8 0

1 year ago