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Nataliya [291]
3 years ago
14

Find the domain of the function. Write your answer in interval notation. f(x)=-4x² + 5x +1

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

All real numbers

(-∞, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see here that our function is a parabola. We also see that we can plug in any number <em>x </em>and we would get an output <em>y</em>. Therefore, our domain is all real numbers:

(-∞, ∞)

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a friend is having trouble with exponents and asks you to review some worked probelems look over the problems and correct any mi
Stella [2.4K]

We have the following expression:

2x^2y\cdot3x^5y^2

By combining similar terms, we get

2\cdot3\cdot x^2\cdot x^5\cdot y\cdot y^2

now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:

x^2\cdot x^5=x^{2+5}=x^7

Similarly,

y\cdot y^2=y^{1+2}=y^3

Therefore, the answer is

6x^7y^3

4 0
1 year ago
Jasmine jumps form 18 ft above sea level to 6 ft below sea level. Kim jumps for, 14 ft above sea level to 5 ft above sea level.
DENIUS [597]

People keep saying they will give 100 points...stop lying!

But Jasmine jumps a total of 24 feet.

Kim jumps a total of 19 feet.


Jasmine jumps farther.

I don't know what the dora que is, but the difference is 5ft.

5 0
3 years ago
Read 2 more answers
What’s the until rate for 3 and 2/3 feet per 11/60
Aneli [31]

Answer:

11/3 divides by 60/11 = 660/33 = 20

Step-by-step explanation:

3 0
3 years ago
A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long
alexdok [17]
Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
tan \alpha = \frac{C}{D}
Similarly we can do for large triangle containing flagpole:
tan \alpha = \frac{A}{B}

We see that these two equations have same left sides. This means that their right sides must also be same:
\frac{C}{D} = \frac{A}{B}
We can solve for A:
CB=AD \\ A= \frac{CB}{D}  \\ A= \frac{6*24}{3}  \\ A=48 ft

Height of flagpole is 48 feet.

8 0
4 years ago
Find the number that is 2/3 of the way from 3/4 to 3 5/12
IRINA_888 [86]

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

3 0
3 years ago
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