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ivann1987 [24]
3 years ago
6

PLEASE HEL MUST BE DONE URGENTLY

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
Y = x + 2 is closest to what I believe is the solution.

If the club begins with 2 members, then +2  MUST appear in the formula.

If the club adds 2 members every week, then the total number of members would be

f(x) = y = 2 + 2(x-1), where x is the number of weeks.

Test this:  If x = 1, then y = 2+2(1-1) = 2 + 0  = 2.  This is correct.  The club began with 2 members in week 1

marysya [2.9K]3 years ago
8 0
Hi there!

We know that on week 1, there are two students.

That means when x=1, y should be 2.

After testing each answer choice, you can eliminate every single answer choice except for y=2x.

The "2" before the x in this equation means that y is increasing 2 units when x increases 1 unit, which matches the given information.

Thus, y = 2x should be your answer.

Have an awesome day! :)
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Archy [21]
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PLS HELP SOLVE FOR X
horsena [70]

Answer:

x=26

Step-by-step explanation:

8 0
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Prove that √2 +√5 is irrational
Sindrei [870]

We have to prove that \sqrt{2}+\sqrt{5} is irrational. We can prove this statement by contradiction.

Let us assume that \sqrt{2}+\sqrt{5} is a rational number. Therefore, we can express:

a=\sqrt{2}+\sqrt{5}

Let us represent this equation as:

a-\sqrt{2}=\sqrt{5}

Upon squaring both the sides:

(a-\sqrt{2})^{2}=(\sqrt{5})^{2}\\a^{2}+2-2\sqrt{2}a=5\\a^{2}-2\sqrt{2}a=3\\\sqrt{2}=\frac{a^{2}-3}{2a}

Since a has been assumed to be rational, therefore, \frac{a^{2}-3}{2a} must as well be rational.

But we know that \sqrt{2} is irrational, therefore, from equation \sqrt{2}=\frac{a^{2}-3}{2a} the expression \frac{a^{2}-3}{2a} must be irrational, which contradicts with our claim.

Therefore, by contradiction,  \sqrt{2}+\sqrt{5} is irrational.

4 0
3 years ago
Calcium is an essential nutrient for strong bones and for controlling blood pressure and heart beat. Because most of the body’s
irakobra [83]

Answer:

No, because the 95% confidence interval contains the hypothesized value of zero.

Step-by-step explanation:

Hello!

You have the information regarding two calcium supplements.

X₁: Calcium content of supplement 1

n₁= 12

X[bar]₁= 1000mg

S₁= 23 mg

X₂: Calcium content of supplement 2

n₂= 15

X[bar]₂= 1016mg

S₂= 24mg

It is known that X₁~N(μ₁; σ²₁), X₂~N(μ₂;δ²₂) and σ²₁=δ²₂=?

The claim is that both supplements have the same average calcium content:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

The confidence level and significance level are to be complementary, so if 1 - α: 0.95 then α:0.05

since these are two independent samples from normal populations and the population variances are equal, you have to use a pooled variance t-test to construct the interval:

[(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

t_{n_1+n_2-2;1-/2}= t_{25;0.975}= 2.060

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} }= \sqrt{\frac{11*529+14*576}{12+15-2} } = 23.57

[(1000-1016)±2.060*23.57*\sqrt{\frac{1}{12} +\frac{1}{15} }]

[-34.80;2.80] mg

The 95% CI contains the value under the null hypothesis: "zero", so the decision is to not reject the null hypothesis. Then using a 5% significance level you can conclude that there is no difference between the average calcium content of supplements 1 and 2.

I hope it helps!

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3 years ago
Difference quotient
Nina [5.8K]
f(x)=5x^2-5x-6
\\ \quad \\

\begin{cases}
f(\boxed{x+h})=5(\boxed{x+h})^2-5(\boxed{x+h})-6
\end{cases}\qquad thus
\\ \quad \\
\cfrac{f(x+h)-f(x)}{h}\qquad \textit{will be then}
\\ \quad \\
\cfrac{[5({x+h})^2-5({x+h})-6]\quad -\quad [5x^2-5x-6]}{h}
\\ \quad \\
\cfrac{[5(x^2+2xh+h^2)-5(x+h)-6]-[5x^2-5x-6]}{h}


\cfrac{\underline{5x^2}+10xh+5h^2\underline{-5x}-5h\underline{-6}\underline{-5x^2}\underline{+5x}\underline{+6}}{h}\impliedby \textit{canceling those ones}
\\ \quad \\
\cfrac{10xh+5h^2-5h}{h}\impliedby \textit{common factor}
\\ \quad \\
\cfrac{5\underline{h}(2x+h-1)}{\underline{h}}

and surely, you'd know what that is
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3 years ago
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