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3 years ago

I need help asap solving this!

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

See Explanation

Step-by-step explanation:

$f(x) = 4 - 6x + 3 {x}^{2}...(1) \\ plug \: x = a \: in \: (1) \\ f(a) = \boxed{ 4 - 6a + 3 {a}^{2} } \\ \\ next \: plug \: x = (a + h) \: in \: (1) \\ f(a + h) = 4 - 6(a + h) + 3 {(a + h)}^{2} \\ = 4 - 6a - 6h + 3( {a}^{2} + {h}^{2} + 2ah) \\ = 4 - 6a - 6h + 3 {a}^{2} + 3{h}^{2} + 6ah \\ f(a + h) = \boxed{3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4} \\ \\ now \\ \\ \frac{f(a + h) - f(a)}{h} \\ \\ = \frac{(3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4) -(4 - 6a + 3 {a}^{2} ) }{h} \\ \\ = \frac{3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4 -4 + 6a - 3 {a}^{2} }{h} \\ \\ = \frac{ 3{h}^{2} + 6ah - 6h }{h} \\ \\ = \frac{3h( {h} + 2a - 2) }{h} \\ \\ \frac{f(a + h) - f(a)}{h} = \boxed{ 3( 2a + h - 2)}$

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Establish which of the following statements are true. (a) A sequence is convergent if and only if all of its subsequences are co

yawa3891 [41]

Answer:

Statement A - True.

Statement B - False.

Statement C - True.

Statement D - False.

Step-by-step explanation:

(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.

(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.

(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.

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3 years ago

If x = 8 units, y = 3 units, and h = 10 units, find the area of the trapezoid shown above using decomposition.

kondaur [170]

If by decomposition you mean breaking it ino parts then

break it itno 2 triangles and 1 rectangle

left to right

triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15

rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
aera=80

last triangle
should be same as other sinces same base (y) and same height (h)
15

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15+80+15=120

8 0

3 years ago

Read 2 more answers

a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the

horsena [70]

Answer:

The 95% confidence interval for the mean score is:

$\mu$ ∈ $(67.73,\ \ 84.67)$

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is ${\overline {x}}$

Since the sample size is $27$ then we use the statistic $t_{\frac{\alpha}{2}}$ with $27-1 = 26$ degrees of freedom

The confidence interval for the mean is:

$({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})$

Where

${\displaystyle {\overline {x}}}=76.2$ is the average score of the sample

$S=21.4$ is the standard deviation of the sample

$n= 27$ is the sample size

$t_{\frac{\alpha}{2}} = 2.056$ for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

$(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})$

$(76.2 + 8.467,\ \ 76.2 - 8.467)$

$\mu$ ∈ $(67.73,\ \ 84.67)$

7 0

3 years ago

On a recent test in English Jorge scored 17 out of 20 points.His friend Ava has a different English teacher and scored 20 out of

qwelly [4]

Jorge did better on his test.

Step-by-step explanation:

It is difficult to say who scored better on the test because Jorge got less wrong but had less questions on his test, Ava got more wrong but has more questions but overall 17 out of 20 is a 85% when 20 out of 25 is 80%

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4 years ago

Twice the sum of a number and one is twenty-two

padilas [110]

Answer:

Step-by-step explanation:

(1 + x) (2) = 22

———— ——

2 2

(1 + x) = 11

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X = 10

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4 years ago

I need help asap solving this!​

I need help asap solving this!