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Keith_Richards [23]
3 years ago
12

Find the range of the function. ƒ(x) = −x2 − 5

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0
Just recall that x² has range [0, ∞).

Since the leading coefficient is negative, that would flip x² across x-axis, so new range would be (-∞, 0]

Now then we subtract -x² by 5 which would shift -x² 5 units down.

So then the range would be (-<span>∞, -5], so that would be D.

Hope this helps.</span>
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The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate
Shtirlitz [24]

Answer:

The approximate number of years until the species is extinct will be 9 years

Step-by-step explanation:

We are given

The population of a species is modeled by the equation

p(t)=-t^4+72t^2+225

where

t is the number of years

we have to find time when species extinct

we know that any species will be extinct only if population of that species becomes 0

so, we can set P(t)=0

and then we can solve for t

p(t)=-t^4+72t^2+225=0

we can factor it

(t^2+3)(t^2-75)=0

(t^2+3)=0

we get t value as imaginary for this equation

(t^2-75)=0

t=\sqrt{75}

t=8.660

So,

the approximate number of years until the species is extinct will be 9 years

8 0
4 years ago
Solve.<br>2x + 8y = 18<br>y= -x + 6<br>Enter your answer, in the form (x, y), in the boxes.​
iren2701 [21]

Answer:

it is a simultaneous equation and I used Elimination method

2x + 8y = 18(equ \: 1) \\   y =  - x + 6 \:  \\ y + x = 6 \: (equ \: 2) \\  \\ from \:( equ2) \\  \:  x = 6 - y \: (equ \: 3 )\\ sub. \: (equ3) \: in \: (equ2) \\ 2(6 - y )+ 8y = 18 \\ 12 - 2y + 8y = 18 \\ 6y = 18 - 12 \\ 6y = 6 \\  \frac{6y}{6}  =  \frac{6}{6}   \\  y = 1 \\  \\ sub. \: y \: in \: equ3 \\ x = 6 - y \\ x = 6 - 1 \\ x = 5 \\  \\  \\ y = 1 \:  \: x = 5

5 0
3 years ago
Jolene earned a 75% on her last quiz. If there were 8 questions, how many did she answer correctly
sveticcg [70]

Answer:

6

Step-by-step explanation:

100% / 8 questions= each question is worth 12.5 points

12.5*6=75

Therefore 6 were answered correctly

3 0
3 years ago
Use the distributive property to expand 0.05(50 + 40).
AURORKA [14]

Answer:

4.5

Step-by-step explanation:

Here's what I found on google about distributive property:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

distribute the numbers-  0.05(50)+0.05(40)

solve-  0.05*50= 2.5

0.05*40= 2

2.5+2= 4.5

Hope this helps

6 0
3 years ago
Read 2 more answers
Can someone please help me find the range
defon

Answer:

Step-by-step explanation

4 0
3 years ago
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