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Brilliant_brown [7]
3 years ago
12

How do you slove 3x+4y=8 in steps

Mathematics
1 answer:
gavmur [86]3 years ago
7 0
<span><span><span>3x</span>+<span>4y</span></span>=8
</span>Add -4y to both sides
<span><span><span><span>3x</span>+<span>4y</span></span>+<span>−<span>4y</span></span></span>=<span>8+<span>−<span>4y</span></span></span></span><span><span>3x</span>=<span><span>−<span>4y</span></span>+8
</span></span>Then you divide both sides by 3
<span><span><span>3x/</span>3</span>=<span><span><span>−<span>4y</span></span>+8/</span>3</span></span><span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>8/3
</span></span></span>And your answer is ...
<span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>8/<span>3</span></span></span></span>
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Answer: Choice D) The h(x) values -4, -2, 2, 4, and 6

Explanation:

The range is the set of all possible y outputs, or h(x) outputs.

We simply list the y coordinate of each blue point shown on the graph.

We cannot say something like -4 ≤ h(x) ≤ 6 because there are gaps where the function is not defined. For instance, h(x) = 0 is not possible, so 0 is not in the range. Put another way: there is no point with y coordinate 0 on the graph, so that's why 0 is not part of the range.

3 0
3 years ago
A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds
jonny [76]

Answer: The fraction of pounds of fruits over total pounds of fruits and vegetables is given by

\frac{25125}{66724}

Step-by-step explanation:

Since we have given that

Total amount of vegetables = 208 pounds

Total amount of fruits is given by

125\frac{5}{8}\text{ pounds}

Total amount of fruits and vegetables is given by

208+125\frac{5}{8}\\\\=208+\frac{1005}{8}\\\\=\frac{1664+1005}{8}\\\\=\frac{2669}{8}\\\\=333.625\text{ pounds }

So, we need to find the fraction of pounds of fruits over the total pounds of fruit and vegetables :

\frac{\text{Pounds of fruits }}{\text{ total pounds of fruits and vegetables}}\\\\=\frac{\frac{1005}{8}}{333.62}\\\\=\frac{1005}{8\times 333.62}\\\\=\frac{1005}{2668.96}=\frac{25125}{66724}

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3 years ago
A bag contains 26 letters 10 numerals Amy just two cars for the bag what is the probability that rat rat that she draws 2 letter
Ymorist [56]
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4 0
4 years ago
Read 2 more answers
g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance
Reptile [31]

Complete Question

If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:

A  

Both hypotheses H0 and H1 can be accepted

B

The null hypothesis H0 cannot be rejected

C

The null hypothesis H0 can be rejected

D

The research hypothesis H1 can be accepted

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

     The p-value  is  p-value  =  0.07

     The level of significance is  \alpha  =  0.05

Generally given that it is a one tail test then the possible value of  

   The null hypothesis is  H_o : \mu =  x

Here \mu is the mean and  x  is the value  

 the possible values of the  alternative hypothesis is  \mu >  x  \ \ or  \ \  \mu < x

Now from the value given we see that the  p-value >  \alpha  hence

The decision rule is  

    Fail to reject  the null hypothesis

       

7 0
3 years ago
Coordinate geometry help
uranmaximum [27]

Answer: 5a. (15, -3)    5b. 5x - 7y - 26 = 0     5c. (15, 7)

<u>Step-by-step explanation:</u>

5a) D is the Midpoint of A and C.

                 D_x=\dfrac{A_x+C_x}{2}\qquad \qquad \qquad D_y=\dfrac{A_y+C_y}{2}\\\\\\8=\dfrac{1+p}{2}\qquad \qquad \qquad \qquad \quad 2=\dfrac{7+q}{2}\\

                 16 = 1 + p                                 4 = 7 + q

                 15 = p                                   -3 = q

                                       D = (15, -3)

********************************************************************************************

5b) Find the perpendicular slope and use the Point-Slope formula.

m=\dfrac{y_A-y_D}{x_A-x_D}\quad =\dfrac{1-8}{7-2}\quad =\dfrac{-7}{5}\quad \rightarrow \quad m_{\perp}=\dfrac{5}{7}

y-y_D=m(x-x_D)\\\\y-2=\dfrac{5}{7}(x-8)\\\\\\7(y-2)=5(x-8)\\\\7y-14=5x-40\\\\0=5x-7y-40+14\\\\\bold{5x-7y-26=0}

**********************************************************************************************

5c) line AE: y = 7

     line DE: 5x - 7y - 26 = 0

Use Substitution method to solve the system for x, given that y = 7:

                  5x - 7(7) - 26 = 0

                   5x - 49 - 26 = 0

                    5x - 75 = 0

                           5x = 75

                            x = 15                          y = 7

                                           E = (15, 7)

7 0
4 years ago
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