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Paraphin [41]
2 years ago
10

Plz help will mark brainliest

Mathematics
1 answer:
Ne4ueva [31]2 years ago
7 0
Use photomath trust meeee
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Which inequality is true when the value of y is 9?
goldfiish [28.3K]

Answer:

y + 8 > 0.5

Step-by-step explanation:

Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.

Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is <em>smaller</em> than 0.5, not greater. So this isn't the option either.

We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.

Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is <em>not</em> greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.

8 0
2 years ago
Find the linear approximation of the function g(x) = 5 1 + x at a = 0. g(x) ≈ use it to approximate the numbers 5 0.95 and 5 1.1
34kurt

Differentiating the function

... g(x) = 5^(1+x)

we get

... g'(x) = ln(5)·5^(1+x)

Then the linear approximation near x=0 is

... y = g'(0)(x - 0) + g(0)

... y = 5·ln(5)·x + 5

With numbers filled in, this is

... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)

Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get

... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95

... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1

3 0
3 years ago
Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro
exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies  , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}

=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630

Hence, the  number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0
3 years ago
Insert grouping symbols so that the given expression has a value of 25. 12 – 7 + 2 • 4 + 6
katovenus [111]
(12-7)+2(4+6) is the one thats value is 25
4 0
2 years ago
A 128-ounce jug of milk costs $3.20, and a 64-ounce jug of milk costs $2.24. What is the difference in cost per ounce between th
klasskru [66]

Answer:

The 64 ounce jug of milk costs $0.010 more per ounce than the 128 ounce jug of milk/

Step-by-step explanation:

3.20/128=$0.025 per ounce jug of milk

2.24/64=$0.035 per ounce jug of milk

0.035 - 0.025 = .010

5 0
3 years ago
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