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djyliett [7]
3 years ago
10

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest

integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0
1. x
2. x + 2
3. x + 4

x + 4 + 2x = 25. Second option is the answer.


Combine like terms
3x + 4 = 25
Subtract 4 from both sides
3x = 21
Divide both sides by 3
x = 7
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If (w+13)^2=(3w+7)(2w+4), find w^2. Express your answer as a decimal.
faltersainse [42]
Answer: w² equals to 28.2
4 0
3 years ago
if the point (-4,5) and (0,2) are used to find the slope of the line the slope is -3/4 what is the slope if the points (0,2) and
wariber [46]
The slope will be -3/4
To find slope you just place the change in y over the change in x.
2- -1=3
0-4= -4
The slope is -3/4 which is the same as before
7 0
2 years ago
What equation represents a parabola with a focus of (0,4) and a directrix of y=2
scZoUnD [109]
We know that

Any point <span>(x,y)</span> on the parabola is equidistant from the focus and the directrix

Therefore,

focus (0,4) and directrix of y=2

<span>√[<span>(x−0)</span></span>²+(y−4)²]=y−(2)

<span>√[x</span>²+(y-4)²]=y-2

x²+(y-4)²=(y-2)²

x²+y²-8y+16=y²-4y+4

x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3


the answer is

y= (x²/4)+3


7 0
3 years ago
A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled
klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

6 0
3 years ago
Find the least common denominator for these two rational expressions
coldgirl [10]

Answer: The LCD is 5y.


I hope this helps!



4 0
2 years ago
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