Determine the range of the following graph:

Mathematics

1 answer:

Marizza181 [45]3 years ago

7 0

Answer:

Step-by-step explanation:

you count the number of blocks from left to right

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Gary lost 17 pounds while on a diet, but gained 8 pounds back. Which number is the additive inverse of the change in Gary's weig

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If Gary lost 17 pounds and gained 8 pound back, then we have
-17 pounds + 8 pounds = -9 pounds.
Therefore the additive inverse of the change in Gary's weight is 9 pounds.
That is, Gary lost 9 pounds of weight.

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Write the quadratic function in vertex form.<br><br> y = x2 - 2x + 5

Jlenok [28]

Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.

0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h

To find the y value of the vertex, plug in 1/2 to the equation.

(1/2)^2 - 2(1/2) + 5 = 4.25 = k

y = (x - 0.5)^2 + 4.25

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A cookie factory uses 1 1/5 bags of flour in each batch of cookies. the factory used 7 1/5 bags of flour yesterday. how many bat

shtirl [24]

Hello!

To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.

Before dividing, we need to convert the complex fraction into an improper fraction.

1 1/5 → 5 × 1 + 1 = 6/5

7 1/5 → 5 × 7 + 1 = 36/5

For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.

Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.

$\frac{36}{5} / \frac{6}{5}$ → $\frac{36}{5} * \frac{5}{6} = \frac{180}{30} = 6$