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kenny6666 [7]
2 years ago
5

What is the y intercept of the quadratic function f(x)=x^2+x-6

Mathematics
1 answer:
saveliy_v [14]2 years ago
4 0

Answer:

(0,\, -6).

Step-by-step explanation:

On a cartesian plane, the y-intercept of a function is the point where the graph of that function intersects with the y\!-axis.

The y-axis of a cartesian plane is the same as the equation x = 0 (that is, the collection of all points with an x-coordinate of 0.)

Construct a system of two equations, with one equation representing y-axis and y = f(x) to represent the graph of this function:

\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}.

Solve this system for x and for y. If a solution exists, then the y\!-axis and the graph of y = f(x) would indeed intersect. The point (x,\, y) would be the intersection of the y\!\!-axis and the graph of y = f(x)\!.

Substitute the second equation of the system into the first.

\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}.

Hence, the intersection of the y-axis and the graph of y = f(x) would be (0,\, -6). By definition, this point would be the y\!-intercept of y = f(x)\!.

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Answer: gcf is 7

Step-by-step explanation:

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2 years ago
Pls help it's fractions​
Pavlova-9 [17]

Answer:

Decimal: 0.875

Fraction: 875/1000

Step-by-step explanation:

As with our earlier problem, it turns out that we can reduce this fraction to lowest terms by dividing its numerator and denominator by 125. Doing so, we find that 0.875 = 875/1000 is equivalent to 7/8

Hope this helps!!!! :)

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3 years ago
Read 2 more answers
Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
borishaifa [10]

Answer:

Biotic, Abiotic

Step-by-step explanation:

Interconnected pathways through which water is recycled through the biotic and abiotic components of the biosphere.

The water cycle is driven by the Sun’s energy. The sun warms the ocean surface and other surface water, causing liquid water to evaporate and ice to sublime—turn directly from a solid to a gas. These sun-driven processes move water into the atmosphere in the form of water vapor.

Over time, water vapor in the atmosphere condenses into clouds and eventually falls as precipitation, rain or snow. When precipitation reaches Earth's surface, it has a few options: it may evaporate again, flow over the surface, or percolate—sink down—into the ground.

In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

Water in the upper levels of the soil can be taken up by plant roots. Plants use some of the water for their own metabolism, and water that's in plant tissues can find its way into animals’ bodies when the plants get eaten. However, most of the water that enters a plant's body will be lost back to the atmosphere in a process called transpiration.

4 0
3 years ago
Goran and karen walk around a track . goran walks each lap in 10 minutes. karen walks each lap in 6 minutes. they both start at
Nimfa-mama [501]
Goran completes 6. karen completes 10. it takes 60 minutes
7 0
2 years ago
How do I solve this
hichkok12 [17]
You wanna find a common denominator so put the problem like this

3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15

now it will look like this

3 1/15

-2 2/15
———-

Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.

2 11/15

-2 2/15
-———-
0 9/15

Thats your official answer 9/15 hope I helped :)
4 0
2 years ago
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