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sleet_krkn [62]
2 years ago
15

On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-ax

is at (0, 4). A blue curved line with an upward arc, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). Which statement is true regarding the graphed functions? f(0) = 2 and g(–2) = 0 f(0) = 4 and g(–2) = 4 f(2) = 0 and g(–2) = 0 f(–2) = 0 and g(–2) = 0
Mathematics
2 answers:
frozen [14]2 years ago
8 0

Answer: f(0) = g(0)

Took the quiz

maxonik [38]2 years ago
7 0

Answer:

f(0) = g(0)

Step-by-step explanations

if a function h(x) passes through [a,b] then it can be said that h(a)=b.

given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

therefore, f(0)=g(0)=4.

so, first option is correct.

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The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your
Katyanochek1 [597]

Answer: 64 years

Step-by-step explanation:

Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:

R1 = P(1.05)^t,

This means that after t years, the dealer would have the total amount of:

$P×1.05^t.

If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:

R2 = $P(1 + 20).

The value of t which will make both returns equal, will be;

R1 = R2.

P×1.05^t = P(1+20)

P will cancel out

1.05^t = 21

Log both sides

Log1.05^t = Log21

tLog1.05 = Log21

t = Log21/Log1.05

t = 64 years

The best time to sell the wine is therefore 64years from now.

7 0
2 years ago
Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table
Viefleur [7K]

Answer 1 with Explanation

Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.

Answer 2 with Explanation

As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.

4 0
2 years ago
If LO = 15x+19 and QN = 10x+2 find PN
svet-max [94.6K]

Answer:

PN=64\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

QN=\frac{1}{2}LO

substitute the given values

10x+2=\frac{1}{2}(15x+19)

solve for x

20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3

Find the length of PN

Remember that

PN=LO ----> diagonals of rectangle are congruent

LO=15x+19

substitute the value of x

LO=15(3)+19=64\ units

therefore

PN=64\ units

8 0
2 years ago
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gall
taurus [48]

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

7 0
2 years ago
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes.
densk [106]

The dimensions of the base of Box 1 are x by 3x.


The base area of Box 1 is:

3x^2

6 0
2 years ago
Read 2 more answers
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