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Ahat [919]
2 years ago
5

The function h is a quadratic function whose graph is a translation 7 units left and 9 units up of the parent function f(x) = x

^ 2 What is the equation of h in vertex form and in the form y = a * x ^ 2 + bx + c
Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

Answer:D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

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How many people can Liam buy lunch for
makvit [3.9K]

Answer:

At most, Liam can only buy lunch for 6 people.

Step-by-step explanation:

It isn't going to be a decimal answer because there can't be half of a person

All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.

Writing it mathematically, it would be:

p \leq 6

7 0
2 years ago
Is f(x)=3/4 a function?
Marat540 [252]

Answer:

Yes, f(x) = \frac{3}{4} is a constant function.

Step-by-step explanation:

A function is defined to be a relation from 1 set of numbers to another set of numbers.

The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>

Here the given function is f(x) = \frac{3}{4}

This function is a constant function and gives the value 0.75 for all values of x.

Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.

Hence the f(x) = 0.75 is a function.

4 0
3 years ago
13.48x - 200 &lt; 256.12​
podryga [215]

Answer:

x < 33.84

Step-by-step explanation:

we have

13.48x-200 < 256.12

Solve for x

Adds 200 both sides

13.48x-200 +200 < 256.12+200

13.48x < 456.12

Divide by 13.48 both sides

13.48x/13.48 < 456.12/13.48

x < 33.84

The solution is the interval ----> (-∞, 33.84)

All real numbers less than 33.84

5 0
3 years ago
Two angles are supplementary. Which of the following equations can be used to find the value of the missing angle, x, if the oth
Natali [406]

Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

x + y = 180

We know that one of the angles (say x) is 98. So, the equation updates to

98 + y = 180

If we want to solve for the other angle, we can simply subtract 98 from both sides to get

y = 180-98 = 82

6 0
2 years ago
-2/5x+6=8 can you help me
ale4655 [162]
If you would like to solve the equation - 2/5 * x + 6 = 8, you can do this using the following steps:

- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2    /*(-5/2)
x = 2 * (- 5/2)
x = - 5

The correct result would be -5.
7 0
3 years ago
Read 2 more answers
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