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tiny-mole [99]
3 years ago
9

Xsquared -5x= 2x-6 what is the solution

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0
X^2 - 5x = 2x - 6
x^2 - 5x - 2x + 6 = 0
x^2 - 7x + 6 = 0
(x - 6)(x - 1) = 0 

x - 6 = 0
x = 6

x - 1 = 0
x = 1

solutions are : x = 6 or x = 1
mote1985 [20]3 years ago
4 0
<span>Xsquared -5x= 2x-6
x^2 - 5x - 2x + 6 = 0
x^2 - 7x + 6 = 0
(x -6)(x-1) = 0
x-6 = 0, x = 6
x - 1 = 0, x = 1
answer
solutions
x = 1 and x =6</span>
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Write an equation.
schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

y\propto x

y=kx               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

10=k(8)

\dfrac{10}{8}=k

\dfrac{5}{4}=k

Putting k=\dfrac{5}{4} in (i), we get

y=\dfrac{5}{4}x

Therefore, the contestant of proportionality is k=\dfrac{5}{4} and the equation for the proportional relationship is  y=\dfrac{5}{4}x.

5 0
2 years ago
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
lora16 [44]

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average sodium content.</em></u>

So, Null Hypothesis, H_0 : \mu = 1100 milligrams      {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, H_A : \mu \neq 1100 milligrams      {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample average sodium content = 1088.64 milligrams

            s = sample standard deviation = 234.12 milligrams

            n = sample of packages of Oriental Spice Sauce = 40

So, <u><em>test statistics</em></u>  =  \frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}  ~ t_3_9

                              =  -0.307

The value of z test statistics is -0.307.

<em>Since, in the question we are not given the level of significance so we assume it to be 5%. </em><em>Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.</em><em> </em>

<em>Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the sodium content is same as what the nutrition label states.

3 0
3 years ago
A middle school has 600 students and 34% of them are in the 8th grade. One-fourth of 8th graders walk to school. How many 8th gr
Kaylis [27]

600 * .34 =  204 are in 8th grade

204 * 1/4 = 51 51 8th graders walk to school

D

5 0
2 years ago
Read 2 more answers
Lola is saving money for a new bike. The first month, she saves $50 from her birthday. Lola plans to save $10 per month thereaft
weqwewe [10]
So this can be translated like the following:
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173 = 107 + 11X where X is the number of weeks

Step 1: bring the 107 to the other side to get 173-107 = 11X
Step 2: divide both sides by 11 to solve for X to get this (173-107 )/11 = X
Step 3: Calculate and simplify 66 / 11 = X which is the same as X= 6

So the answer is it will take jennifier 6 weeks to save for the bike.
8 0
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Suppose an airplane traveling in a circle at 138 m/s can turn in a circle with as much as 69.6 m/s of centripetal acceleration.H
Oksanka [162]

Answer: A. 9567m

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6 0
2 years ago
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