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Svetllana [295]
3 years ago
15

-x^2-2x+7 Find the vertex

Mathematics
2 answers:
jeka57 [31]3 years ago
8 0

Answer:

-1,8 to find the vertex that's your answer I already did the math

posledela3 years ago
7 0

Hey there!

Answer:\boxed{(-1,8)}

Explanation:

-x^2 - 2x + 7

To find the vertex, you will rewrite in the vertex form.

f(x) = -(x+1)^2+8

(-1,8)

Hope this helps!

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ki77a [65]

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Go up 2, then over negative 6

Step-by-step explanation:

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The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixte
goldenfox [79]

Answer:

Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water

Step-by-step explanation:

The number of of specimen in the samples of untreated water, n₁ = 16

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The sample standard deviation, s₁ = 4.3

The number of of specimen in the samples of treated water, n₂ = 20

The sample mean, \overline x_2 = 224.6

The sample standard deviation, s₂ = 5.0

The level of significance = 0.10

The null hypothesis, H₀; \overline x_1 ≥ \overline x_2

The alternative hypothesis, Hₐ;  \overline x_1 < \overline x_2

The degrees of freedom = 16 - 1 = 15

The test statistic, t_{\alpha} = 1.341

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

Plugging in the values, we get;

t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675

Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; \overline x_1 ≥ \overline x_2

6 0
3 years ago
TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
belka [17]

Answer:

x = 4

Step-by-step explanation:

TW = 3

WU = TU - TW = x + 7 - 3 = x + 4

CW = x

VW = 6

By the property of intersecting chords inside a circle, we have:

TW * WU = CW * VW

3(x + 4) = x * 6

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

12/3 = x

4 = x

x = 4

8 0
4 years ago
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