All categories

2 years ago

Given g(x) = 1/4(15 - x)^2 what is the value of g(7)?

Mathematics

1 answer:

AleksandrR [38]2 years ago

8 0

Answer:

Step-by-step explanation:

Substitute (7) into the equation.

y= 1/4(15-(7))^2

You might be interested in

the mean of marks scored by 100 students was found to be 40. Later on, it was discovered that a score of 53 was misread as 83. F

liberstina [14]

As the sum of marks of others remain unchanged , let their sum be x . As the mean using 83 was 40 , we have ,

(x +83)/100 = 40

x + 83 = 4000

x = 3917

Now mean using 53 ,

(x +53)/100

(3917+53)/100

39.7.

Hope it helps , plz mark as brainiest :-)

3 0

2 years ago

the height of angel falls, the tallest water fall in the world is 3212 feet write this in scientific notation

Andrews [41]

Answer:

3.212*10^3

Step-by-step explanation:

you moved the decimal place 3 times

3 0

3 years ago

Read 2 more answers

I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)

Phoenix [80]

A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.

So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

$C_x = \dfrac{P_x+Q_x}{2}=\dfrac{-10+4}{2}=\dfrac{-6}{2}=-3$

Try to do the same thing with the y coordinates, and you'll get the y-coordinate $C_y$ . This first part will be over, because the circle will be point

$C=(C_x,C_y)$

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

$d=\sqrt{(P_x-Q_x)^2+(P_y-Q_y)^2}=\sqrt{(-10-4)^2+(-2-6)^2}=\sqrt{260}=2\sqrt{65}$

Divide this length by 2 and you'll get the radius.

C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

$(x-C_x)^2+(y-C_y)^2=r^2$

Substitute $C_x$ and $C_y$ with the coordinates of the center (found in point A.) and $r$ with the radius (found in point B.) and you'll have the equation of the circle.

6 0

3 years ago

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*

goldenfox [79]

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

7 0

3 years ago

Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been

koban [17]

Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

1 dime = 10 cents

1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47 Eqn 1

10x+25y=950 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480$

Dividing both sides by 15

$\frac{15y}{15}=\frac{480}{15}\\y=32$

Putting y=32 in Eqn 1

$x+32=47\\x=47-32\\x=15$

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago