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bazaltina [42]
2 years ago
13

If g(x)=x^2+3, find g(4)

Mathematics
2 answers:
timurjin [86]2 years ago
6 0

Answer:

g(4)=19

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to 4.

Therefore, we can substitute 4 in for x in the equation

g(x)=x^2+3

g(4)=4^2+3

Evaluate the exponent first

g(4)=16+3

Add

g(4)=19

sladkih [1.3K]2 years ago
4 0

Answer:

g(4)=19

Step-by-step explanation:

Plug 4 in for x:

4^2+3=16+3=19

Therefore, g(4)=19

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n
Sergeeva-Olga [200]

Answer:  \bigg(n+\dfrac{5}{4}\bigg)^2

<u>Step-by-step explanation:</u>

n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2

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3 years ago
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vfiekz [6]

Answer:reflect across

Step-by-step explanation:

4 0
2 years ago
The bases of the trapezoid are 6 and 10. The height is 4. Find the area.
kari74 [83]
<h2>Answer:</h2>

b. \ \boxed{32 \sq. \ units}

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, b_{1}\,and\,b_{2}. Also, the height H of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of b_{1},b_{2}\:and\:H is:

A=\frac{(b_{1}\text{+}b_{2})h}{2}

Since:

b_{1}=6, \ b_{2}=10, \ and \ H=4

The area is:

A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}

6 0
3 years ago
Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination
DanielleElmas [232]

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

F + V - E = 2

Where

F \to Faces; V \to Vertices; E \to Edges

(a):\ Faces = 8; Vertices = 12; Edges = 6

Using: F + V - E = 2

8 + 12 - 6 = 2

14 = 2

<em>The above equality is false. Hence, (a) does not exist</em>

(b):\ Faces = 6; Vertices = 6; Edges = 4

Using: F + V - E = 2

6 + 6 - 4 = 2

8 = 2

<em>The above equality is false. Hence, (b) does not exist</em>

<em />

<em />(c):\ Faces = 20; Vertices = 30; Edges = 12<em />

Using: F + V - E = 2

20 + 30 - 12 = 2

38 = 2

<em>The above equality is false. Hence, (c) does not exist</em>

5 0
2 years ago
Read 2 more answers
If the occurrence of one event has no effect on the occurrence of a second event, then the events are ________.
Firdavs [7]

Answer:

Independent event

Step-by-step explanation:

We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.

Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.

Two events are dependent if the occurrence of one does affect the occurrence of the second one.

7 0
2 years ago
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