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Troyanec [42]
3 years ago
6

Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−16x+1 .

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0
To check if the pair is on the graph, plug the x value into the x in the equation, and solve. If the solution to the equation matches the y value from your ordered pair, it’s on the graph, so mark “yes”. If the solution isn’t the same, it’s not on the graph, so mark “no”.
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3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4
REY [17]

The solution is (-1,5) and (7,-3)

Step-by-step explanation:

The expression is x^{2} +y^{2} -x+3y-42=0 and x+y=4

Using substitution method we can solve the expression.

Let us substitute x=4-y in x^{2} +y^{2} -x+3y-42=0

(4-y)^{2} +y^{2} -(4-y)+3y-42=0

Expanding and simplifying the expression, we get,

\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}

Let us use the quadratic equation formula to solve this equation,

\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}

Thus, y=5 and y=-3

Substituting y-values in the equation x+y=4, we get the value of x.

For y=5 ⇒ x=4-5=-1

For y=-3 ⇒ x=4+3=7

Thus, the solution set is (-1,5) and (7,-3)

7 0
3 years ago
He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to repre
arlik [135]

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question

6 0
3 years ago
4g−124, g, minus, 12 when g=5g=5
allsm [11]

Answer:

4g-124= -104, g-12= -7

Step-by-step explanation:

g=5

4g-124= ?     g-12

4(5)-124         5-12

4(5)= 20        5-12= -7

20 - 124= -104

4 0
3 years ago
What is the greatest common factor of 42, 56, and 112
VashaNatasha [74]

Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the range of the function f(x) = -|X - 4| + 5?
Law Incorporation [45]

Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is  -infinity to 5</em>

<em />

<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>

3 0
3 years ago
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