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aksik [14]
3 years ago
15

Which of these numbers is classified as both real and rational 17 squared 23 squared 9 squared 2 squared

Mathematics
1 answer:
vovangra [49]3 years ago
3 0
All of the given numbers are both real and rational, and so all of their respective squares are also real and rational.
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Does this table represent a proportional relationship?<br><br> Yes<br> No
Contact [7]

no

the table does not represent a proportional relationship.

4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
s2008m [1.1K]

Answer: 912

===================================

Work Shown:

The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is

an = a1+d(n-1)

an = 3+5(n-1)

an = 3+5n-5

an = 5n-2

Plug n = 19 into the formula to find the 19th term

an = 5n-2

a19 = 5*19-2

a19 = 95-2

a19 = 93

Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96

Multiply this by n/2 = 19/2 = 9.5 to get the final answer

96*9.5 = 912

I used the formula

Sn = (n/2)*(a1 + an)

where you add the first term (a1) to the nth term (an), then multiply by n/2

-----------------

As a check, here are the 19 terms listed out and added up. We get 912 like expected.

3+8+13+18   +23+28+33+38    +43+48+53+58    +63+68+73+78   +83+88+93 = 912

There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.

5 0
3 years ago
Read 2 more answers
The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
Read 2 more answers
According to the Venn diagram below, what is P(A∩B∩C)?
weqwewe [10]

6

The upside down U means intersection

A intersect B intersect C is where all 3 circles overlap.

Sum up all the numbers to get 50

P (a intersect b intersect c) = 6/50 = 3/25



3 0
3 years ago
Read 2 more answers
Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?
lakkis [162]

Answer:

Choice 4.

Step-by-step explanation:

f(g(x))

Replace g(x) with x^2+8 since g(x)=x^2+8.

f(g(x))

f(x^2+8)

Replace old input,x, in f with new input, (x^2+8).

f(g(x))

f(x^2+8)

2(x^2+8)+5

Distribute:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

Combine like terms:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

2x^2+21

7 0
3 years ago
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