1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
9

Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer:

Option (D)

Step-by-step explanation:

If the two points (x_1,y_1) and (x_2,y_2) are lying of the line.

Slope of the line represented by the function 'f' = \frac{y_2-y_1}{x_2-x_1}

Two points are lying on the line are (-2, 4) and (0, -2).

Slope of the line passing through these points 'm' = \frac{4+2}{-2-0}

m = -3

Y-intercept of the line 'b' = -2 [From the graph]

Therefore, equation of the function will be,

f(x)  = (-3)x - 2

f(x) = -3x - 2

Similarly, for other function represented by the line in red,

Slope of the line passing through (-6, 0) and (0, 6) = \frac{6-0}{0+6}

m' = 1

Y-intercept of g(x) = 5 [From the graph]

Equation that represents the function g(x) = 1.x + 5

g(x) = x + 5

For g(x) = f(x)

-3x - 2 = x + 6

-3x - x = 2 + 6

-4x = 8

x = -2

Therefore, for x = -2 both the functions will have the value.

f(-2) = g(-2)

Option (D) will be the answer.

You might be interested in
What is the range of f(x) = 4x?
antoniya [11.8K]
Range is all positive real numbers

answer is D. last one
8 0
3 years ago
Read 2 more answers
Angelica colored in 0.60 of the squares on her grid. What is the expression 0.60 as tenth in fraction
xz_007 [3.2K]
If I understand the question correctly, 6/10.
8 0
3 years ago
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci
sveta [45]

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

3 0
2 years ago
What is Mary's running speed in<br> miles per hour?
AysviL [449]

Answer:

4 to 6 miles an hour would be the answer

4 0
3 years ago
Read 2 more answers
40 points right here
trapecia [35]
Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2
4 0
3 years ago
Other questions:
  • The length of the sides of the base of the largest of the Great Pyramids of Giza, near Cairo, Egypt, is 230 m. This square pyram
    15·1 answer
  • How much did a lottery winner of $1000 take after being deducted 35 percent for taxes?
    11·2 answers
  • Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po
    10·1 answer
  • In your own words explain the place value relationship when the same two digits are next to each other in a multi digit number
    5·1 answer
  • Two less than the sum of twice a number and forty
    6·1 answer
  • Is something with/without a decimal greater?
    7·2 answers
  • Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?
    5·2 answers
  • john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for chi
    13·1 answer
  • 6y+3=45 what is the answer?
    11·2 answers
  • Which best states George Washington’s connection to the 1787 Constitutional Convention? He was an honorary delegate because he h
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!