The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?

Find f(1/4) if f(x)=4x^2-2/3x please guys explain it to me I cant understand it

Jet001 [13]

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

6 0

3 years ago

Determine the similarity ratio (large to small) of the similar figures. A) 1:2 B)2.1 C) 3:1 D 3.2.

lidiya [134]

Answer:

1:2

Step-by-step explanation:

8 0

3 years ago

Α вℓυє вℓα¢к αи∂ уєℓℓσω fℓαg ωєяє ρℓα¢тє∂ ιи α вαg ωнαт ιѕ тнє ρяσвαвιℓιту σf ¢нσσѕιиg тнє яє∂

hram777 [196]

0 there is no red (not completely sure)

6 0

3 years ago

A polyhedron is a two-dimensional solid bounded by the polygonal regions formed by intersecting planes. true or false?

Makovka662 [10]

False.
A polyhedron is three-dimensional.

6 0

3 years ago

Read 2 more answers

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classe

stealth61 [152]

Answer:

$t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890$

The p value for this case would be:

$p_v =P(t_{18}>0.890)=0.193$

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

Step-by-step explanation:

Information given

$\bar X_{1}=4$ represent the mean for sample A

$\bar X_{2}=3.5$ represent the mean for sample B

$s_{1}=1.5$ represent the sample standard deviation for A

$s_{2}=1$ represent the sample standard deviation for B

$n_{1}=11$ sample size for the group A

$n_{2}=9$ sample size for the group B

$\alpha=0.1$ Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2} \leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=11+9-2=18$

Replacing we got:

$t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890$

The p value for this case would be:

$p_v =P(t_{18}>0.890)=0.193$

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

5 0

3 years ago