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castortr0y [4]
3 years ago
5

Complete the remainder of the

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

x = -4, y = 6.

x = 0, y = 7.

x = 4, y = 8.

x = 8, y = 9.

Step-by-step explanation:

We are given the following rule:

y = \frac{x}{4} + 7

To solve this question, we replace x by the asked values.

When x = -4

y = \frac{-4}{4} + 7 = -1 + 7 = 6

So x = -4, y = 6.

When x = 0

y = \frac{0}{4} + 7 = 0 + 7 = 7

So x = 0, y = 7.

When x = 4

y = \frac{4}{4} + 7 = 1 + 7 = 8

So x = 4, y = 8.

When x = 8

y = \frac{8}{4} + 7 = 2 + 7 = 9

So x = 8, y = 9.

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svetoff [14.1K]
Since the train travels at a rate of 70 miles/hour, the train will take 5 hours to have traveled a total of 350 miles. The missing information in the question you've proposed is the value of "H" or the number of hours (as the unit hours is indicated in the question). This can be determined with the formula <em>Distance = rate X time. </em>350 = 70 X H, in this case. To isolate the variable H, 70 (the rate) divides 350 (the total distance) into 5. 350 ÷ 70 = H. 5 = H, the amount of time spent traveling for 350 miles at a rate of 70 miles/hour.

4 0
3 years ago
A w=-8<br> B w=-5 <br> C w=5<br> D w=8
algol [13]

Answer:

D

Step-by-step explanation:

Plug in every scenario, in see if it equal to each other.

D is the only one that is equal.

8 0
3 years ago
When a number x is multiplied by 6, the result is 38 .
serg [7]
X = 19/3

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6 0
3 years ago
I’m this geometric sequence, what is the common ratio
Marrrta [24]
ANSWER:

D. - 1 / 2

This is as 104 ÷ - 52 = - 1 / 2

As well as this, - 52 ÷ 26 = - 1 / 2

And this ratio applies for the other numbers in the sequence as well.

Therefore, the answer must be - 1 / 2.

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4 0
3 years ago
I need help or I will faill this
kari74 [83]

Answer:

-4x2 + 3x - 225

 ———————————————

        3    

Step-by-step explanation:

Step  1  :

               4

Simplify   —

                3

Equation at the end of step  1  :

        4            

 (x -  (— • x2)) -  75

        3            

Step  2  :

Equation at the end of step  2  :

       4x2      

 (x -  ———) -  75

        3      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         x     x • 3

    x =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2)     3x - 4x2

—————————————  =  ————————

      3              3    

Equation at the end of step  3  :

 (3x - 4x2)    

 —————————— -  75

     3          

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         75     75 • 3

   75 =  ——  =  ——————

         1        3    

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  3x - 4x2  =   -x • (4x - 3)  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3)     -4x2 + 3x - 225

——————————————————————  =  ———————————————

          3                       3        

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  -4x2 + 3x - 225  =   -1 • (4x2 - 3x + 225)  

Trying to factor by splitting the middle term

6.2     Factoring  4x2 - 3x + 225  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  +225  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 225 = 900  

Step-2 : Find two factors of  900  whose sum equals the coefficient of the middle term, which is   -3 .

     -900    +    -1    =    -901  

     -450    +    -2    =    -452  

     -300    +    -3    =    -303  

     -225    +    -4    =    -229  

     -180    +    -5    =    -185  

     -150    +    -6    =    -156  

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -4x2 + 3x - 225

 ———————————————

        3        

7 0
3 years ago
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