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Mariulka [41]
2 years ago
6

What are the domain and range of f(x) = 4* – 8?

Mathematics
1 answer:
White raven [17]2 years ago
7 0

Answer:

domain: {x | x is a real number}

range: {y l y> -8}

Step-by-step explanation:

f(x) = 4x² – 8 is a parabola, a U shape.

Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.

y > -8  because the minimum is -8.

Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.

Quadratic standard form:

f(x) = ax² + bx + c

"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.

"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.

"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.

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A population of beetles are growing according to a linear growth model. The initial population (week 0) is p0=6 and the populati
wel

Answer:

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

Step-by-step explanation:

Population of beetles in Week 0= 6

Population of beetles in Week 7= 83

From week 0 to week 7 there are 8 weeks.

But subtracting population of week 0 from population of week 7 gives

= 83-6

= 77

After the subtraction, we have 7 weeks remaining.

Dividing the remaining population by the number of weeks remaining

=77/7

= 11

For n number of weeks, population p of beetles

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

3 0
3 years ago
Area of the rhombus shown below?
liraira [26]

Answer:

A

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} product of diagonals

Here AC = 13 and BD = 15 are the diagonals, hence

A = 0.5 × 13 × 15 = 97.5 units² → A

5 0
3 years ago
Using the pleading the square method find the vertex of the function f(x)=5x^2+10x+8
Inga [223]

credits to the owner:lisboa, another brainly expert

5 0
3 years ago
A total of $12,000 is invested at two different rates: $5,000 of it is invested at 6%, and the rest is invested at 8%. How much
lesantik [10]
5000*6/100=300
7000*8/100=560
total=860

7 0
3 years ago
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high. Which of the thre
timurjin [86]
First, all the heights have to be converted to similar units, say feet.

Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet

The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).
3 0
3 years ago
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