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2 years ago

Differentiate which of the following models best fits the data.

Mathematics

1 answer:

shepuryov [24]2 years ago

3 0

Answer:

Option B f(x) = x + 1

Step-by-step explanation:

The given points are

x y Relationship (x & y)

-2 -1 -2 + 1 = -1

0 1 0 + 1 = 1

1 2 1 + 1 = 2

3 4 3 + 1 = 4

5 6 5 + 1 = 6

As we can see the difference in x and y values of each ordered pairs is one

Therefore, relationship between x & y that can be represented by y = x + 1

Option B f(x) = x + 1 is the answer.

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What value of c makes the polynomial below a perfect square?

malfutka [58]

Answer:

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2( $\frac{9}{2}$ )x + ( $\frac{9}{2}$ )²

= x² + 9x + $\frac{81}{4}$ ← the value of c

= (x + $\frac{9}{2}$ )² ← a perfect square

6 0

2 years ago

Read 2 more answers

Solve the equation.<br> 9x=25

lidiya [134]

Answer:

$x = \frac{25}{9}$

Step-by-step explanation:

Divide both sides by 9 to isolate x:

$\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\$

Hope this helps!

8 0

2 years ago

Drag a statement or reason into the blank to complete this proof;

sergiy2304 [10]

\left[x \right] = \left[ 5\right][x]=[5]2(x+1)/−2 = 8−2 _________
_________ Simplifying

\left[x \right] = \left[ 2\right][x]=[2] = x + 1 + -4
x = -5

6 0

2 years ago

Find the ratio if y:x if 3x=11y

Finger [1]

Answer:

11:3

Step-by-step explanation:

For every 11 y there is 3x

6 0

2 years ago

Read 2 more answers

To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran

lina2011 [118]

For this case we convert the mixed numbers to fractions:

$4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}$

Now we add the fractions:

$\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =$

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

$\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =$

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

$8 \frac {3} {8}$ gallons

Answer:

$8 \frac {3} {8}$ gallons

4 0

3 years ago