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3 years ago

Which input value produces the same output value for the two functions on the graph?

Mathematics

2 answers:

Leona [35]3 years ago

6 0

Answer:

The input value x=-2 produces the same output value for the two functions on the graph.

Step-by-step explanation:

Given the graph of two functions

we have to tell the input value which produces the same output value for the two functions on the graph.

The point where both these graphs intersect given the same output value for one input value i.e gives same value of y for that x-value.

As both these graph intersect at point (-2,1)

At this point both these functions gives the same output value i.e 1 for x=-2.

Hence, the input value x=-2 produces the same output value for the two functions on the graph.

Option 2 is correct.

Verizon [17]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

Because thats the answer

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What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.

Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k). Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25). Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x. We must factor this. Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:

y = 0.96(x -√5)(x + √5). This is the fully factored form of the polynomial.

5 0

3 years ago

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius

ollegr [7]

Answer:

96π^2 = 947.48

Step-by-step explanation:

π × r² × h

8π times 3*4*π

6 0

4 years ago

Read 2 more answers

Evaluate g(t) = 3.5 • 2t for t = –2

Vera_Pavlovna [14]

Evacuate g(t)=70 for t=2

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3 years ago

Please help 30 points and if I get correct answer i will brainiest them

WINSTONCH [101]

Answer:

9,-4

Step-by-step explanation:

-9×4=-36

Negative × Positive = Negative

8 0

3 years ago

A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan

seropon [69]

Answer:

32 $unit^{3}$

Step-by-step explanation:

Given:

The slant length 10 units
A right square pyramid with base edges of length 8 $\sqrt{2}$

Now we use Pythagoras to get the slant height in the middle of each triangle:

$\sqrt{10^{2 - (4\sqrt{2} ^{2} }) }$ = $\sqrt{100 - 32}$ = $\sqrt{68}$ units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

$\sqrt{68-(4\sqrt{2} ^{2} )}$ = $\sqrt{68 - 32}$ = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

The height 3 units
A right square pyramid with base edges of length 4 $\sqrt{2}$

So the volume of it is:

V = 1/3 *3* 4 $\sqrt{2}$

= 32 $unit^{3}$

5 0

4 years ago