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3241004551 [841]
2 years ago
12

Which point is on the graph ofx=13(y−18)in the coordinate plane?

Mathematics
1 answer:
natulia [17]2 years ago
6 0

The points on a graph are the points that lie on the graph

The ordered pair on the graph of \mathbf{x =\frac{1}{3}(y - \frac 18)} would be \mathbf{( \frac{5}8},2)

<em>The points are not given; so, I will give a general explanation</em>

The equation is given as:

\mathbf{x =\frac{1}{3}(y - \frac 18)}

Assume that the value of y, is 2

The equation becomes

\mathbf{x = \frac 13(2 - \frac 18)}

Take LCM

\mathbf{x = \frac 13(\frac{16-1}8)}

\mathbf{x = \frac 13(\frac{15}8)}

Divide

\mathbf{x = \frac{5}8}

So, the ordered pair would be \mathbf{( \frac{5}8},2)

Read more about graphs and ordered pairs at:

brainly.com/question/12716270

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*20 POINTS*
Paraphin [41]

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

7 0
3 years ago
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine tha
stiks02 [169]

Answer:

Step-by-step explanation:

The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.

The inequality can be used to determine the number of nights the Jones family could spend at the hotel is

750 ≥ 75 + 125h

This can also be written as

75 + 125h ≤ 750

We would solve the inequality for the value of h.

125h ≤ 750 - 75

125h ≤ 675

h ≤ 675/125

h ≤ 5.4

For any value of h greater than 5.4 hours, the inequality will not be true.

4 0
3 years ago
The quotient of 365.085 and 79.8
Paul [167]

Answer:

4.575

Step-by-step explanation:

365.085/79.8=4.575

5 0
3 years ago
Kelvin plans to buy potato chips and coke with $50. If he buys 3 packs of potato chips and 2 cans of coke, $9 will be left. If h
Delicious77 [7]
Let the prices of a pack of potato chips and can of coke be x and y respectively
3x+2y=50-9
3x+2y=41........... (1)
4x+5y=50+21
4x+5y=71............(2)
Multiply (1) with 4 and (2) with3
12x+8y=164
12x+15y=213
On subtracting above eqs. we get
7y= 49
y=7
Putting value of y in (2)
4x+5(7)=71
4x+35=71
4x=36
x=9
x=$9
y=$7
MARK IT BRANLIEST PLZZZ....

7 0
3 years ago
Read 2 more answers
What percent of 600 is 750
Karo-lina-s [1.5K]
750 divided by 600 x 100 = 125%
7 0
3 years ago
Read 2 more answers
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