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3 years ago

Which of the given expressions results in 0 when evaluated at x = 5?

Mathematics

1 answer:

kifflom [539]3 years ago

4 0

The answer is C. 5-8 is -3. 5-5 is 0. When you multiply -3 by 0 the outcome is 0!

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grandymaker [24]

Answer:

IM DOING THE SANE THING AND IDFK

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3 years ago

Explain how how you will go about preparing yourself confidently teach numeracy

TEA [102]

First students should be taught to count numbers and make links between the numbers. Then they should learn to identify and create different representation of numbers and learn the concept of zero.
read and write numbers and to count, sort and order them. That way they can compare the size of two sets. And than students should be taught to add and subtract numbers. Adding can be learned by grouping numbers, while subtracting by moving apart given numbers.

8 0

3 years ago

A hyperbola is given by the equation x^2+2xy−y^2+x = 2. Use implicit differentiation

Mekhanik [1.2K]

$\bf x^2+2xy-y^2+x=2\qquad 
\begin{array}{llll}
(1&,&2)\\
x_1&&y_1
\end{array}\\\\
-------------------------------\\\\
2x+2\left( 1\cdot y+x\frac{dy}{dx} \right)-2y\frac{dy}{dx}+1=0
\\\\\\
2x+2y+2x\frac{dy}{dx}-2y\frac{dy}{dx}+1=0
\\\\\\
\cfrac{dy}{dx}(2x-2y)=-1-2x-2y\implies \cfrac{dy}{dx}=\cfrac{-1-2x-2y}{2x-2y}
\\\\\\
\left. \cfrac{dy}{dx}=\cfrac{2x+2y+1}{2y-2x} \right|_{1,2}\implies \cfrac{2+4+1}{4-2}\implies \cfrac{7}{2}\\\\
-------------------------------\\\\
$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=\cfrac{7}{2}(x-1)\implies y-2=\cfrac{7}{2}x-\cfrac{7}{2}
\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}
\\\\\\
\boxed{y=\cfrac{7}{2}x-\cfrac{3}{2}}$

5 0

4 years ago

A national business magazine reports that the mean age of retirement for women executives is 61.7. A women’s rights organization

Marina CMI [18]

Answer:

The calculated value |Z| = |-2.0375| = 2.0375<2.0541.96 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

Step-by-step explanation:

Step(i):-

Given that the mean age of retirement for women, executives is 61.7

Given mean of the Population = 61.7

Given that the size of the sample 'n' = 82

Given that the mean of sample x⁻ = 60.8

Given that the standard deviation 'σ' = 4.0years

Step(ii):-

Null hypothesis:H₀: μ ≠ 61.7

Alternative Hypothesis: H₁: μ = 61.7

Test statistic

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{60.8-61.7}{\frac{4.0}{\sqrt{82} } }$

Z = -2.0375

|Z| = |-2.0375| = 2.0375< 2.054 at 0.02 level of significance

Final answer:-

The calculated value |Z| = |-2.0375| = 2.0375 <2.054 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

7 0

3 years ago

Shelby tossed 3 quarters into the air. What is the probability that all 3 quarters will land heads up

BaLLatris [955]

Answer:

For 3 quarters, the probability that all 3 quarters will land heads up is ;

P = 1/2 × 1/2 × 1/2 = 1/8

P = 1/8

Step-by-step explanation:

The probability that one quarter will land heads up is 1/2.

For 3 quarters, the probability that all 3 quarters will land heads up is ;

P = 1/2 × 1/2 × 1/2 = 1/8

P = 1/8

4 0

4 years ago