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2 years ago

What is the equation for g(x)?

Mathematics

1 answer:

Lady_Fox [76]2 years ago

4 0

To translate an equation/function down in the vertical direction, you subtract the distance translated down.

Since the equation $f(x)=4x^{2}+6$ is being translated 4 units down, subtract 4 from $f(x)$ to get:
$g(x) =4x^{2}+6-4\\g(x)=4x^{2}+2$

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A bus driver started her day with an empty bus. At her first stop she picked up

lidiya [134]

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

There were 12 people on the bus after the driver left the third stop.

8 0

2 years ago

A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins

REY [17]

I have that as well I have no idea

7 0

2 years ago

Read 2 more answers

Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ

sergey [27]

Answer:

$Budget = 3 b$

Step-by-step explanation:

Given

$Budget = \$30$

$Cost\ of\ box (b) = \$10$

Required

Represent as an equation;

$Budget = \$30$

Expand the above

$Budget = 3 * \$10$

Recall that b = $10 ----given

$Budget = 3 * \$10$ becomes

$Budget = 3 * b$

$Budget = 3 b$

7 0

2 years ago

|8m| = 104 absolute value

DENIUS [597]

Answer:

m=13

Step-by-step explanation:

l8ml=104

8m=104

⁻⁻⁻ ⁻⁻⁻

8 8

m=13

6 0

3 years ago

What are the coordinates of the point on the directedline segment from K(-5,-4) to L(5,1) that partitionsthe segment into a rati

Diano4ka-milaya [45]

You can solve this either just plain algebra or with the use of trigonometry.
In this case, we'll just use algebra.

So, if we let M be the the point that partitions the segment into a ratio of 3:2, we have this relation:
KM/ML = 3/2
KM = 1.5 ML

We also have this:
KL = KM + ML
Substituting KM,
KL = (3/2) ML + ML
KL = 2.5 ML

Using the distance formula and the given coordinates of the K and L, we get the length of KL
KL = sqrt ( (5-(-5)^2 + (1-(-4))^2 ) = 5 sqrt(5)

Since,
KL = 2.5 ML

Substituting KL,
ML = (1/2.5) KL = (1/2.5) 5 sqrt(5) = 2 sqrt(5)

Using again the distance formula from M to L and letting (x,y) as the coordinates of the point M
ML = 2 sqrt(5) = sqrt ( (5-x)^2 + (1-y)^2 ) [let this be equation 1]

In order to solve this, we need to find an expression of y in terms of x. We can use the equation of the line KL.
The slope m is:
m = (1-(-4))/(5-(-5) = 0.5

Using the general form of the linear equation:
y = mx +b
We substitue m and the coordinate of K or L. We'll just use K.
-5 = (0.5)(-4) + b
b = -1.5

So equation of the line is
y = 0.5x - 1.5 [let this be equation 2]

Substitute equation 2 to equation 1 and solving for x, we get 2 values of x,
x=1, x=9

Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.

So, we get the coordinates of point M which is (1,-1)

3 0

2 years ago