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WITCHER [35]
4 years ago
15

Solve 5x^2+8x+3=0 for x

Mathematics
1 answer:
Black_prince [1.1K]4 years ago
8 0

5x^2+8x+3=0

factor

(5x+3) (x+1)=0

using the zero product property

5x+3 =0  x+1 =0

5x=-3   x=-1

x=-3/5   x=-1


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What is the slope of the line? (khan academy) please help
pochemuha

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

4 0
3 years ago
If g(x) is a linear function such that g(-3)=2 and g(10= -4, find g(7)
olga nikolaevna [1]

Answer:

g(7) = -34/13

Step-by-step explanation:

In order to find g(7), we first need to find the g(x) function. To do so, use the two ordered pairs given, (-3, 2) and (10, -4). First we find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - -4)/(-3 - 10)

m = 6/-13

Now that we have the slope, we can use that and either ordered pair in point-slope form to get the equation of the function.

y - y1 = m(x - x1)

y - 2 = 6/13(x + 3)

y - 2 = -6/13x - 18/13

y = -6/13x + 8/13

g(x) = 6/13x + 8/13

Now that we have this, we can plug in 7 for x and find g(7).

g(x) = -6/13x + 8/13

g(7) = -6/13(7) + 8/13

g(7) = -42/13 + 8/13

g(7) = -34/13

8 0
4 years ago
What is 8/32 in simplest? I know it sounds and is easy but I need to know if I should do 4 or 8, thanks for the help I appreciat
galben [10]

Answer:

Step-by-step explanation:

1/4

5 0
4 years ago
Read 2 more answers
The administrator of a nursing home would like to do a time-and-motion study of staff time spend per day performing nonemergency
WINSTONCH [101]

Answer:

32 days must be sampled to test the proposed hypothesis.

Step-by-step explanation:

Consider the provided information.

The average number of person-hours per day spent on these task was \mu_0=16.

The actual value of μ is 12 hours or less i.e μ=12

She wants a test having α=0.05

The probability of a type II error of at most β=0.10 and σ=7.64.

δ = μ-μ0

   = 12-16

  = -4

Now use the formula for calculating the sample size:

N=\frac{(Z_{\alpha}+Z_{\beta})^2\sigma^2}{\delta^2}

Substitute the respective values.

N=\frac{(Z_{0.05}+Z_{0.1})^2(7.64)^2}{(-4)^2}

N=\frac{(1.6449+1.2816)^2(7.64)^2}{16}

N=31.2437958482\approx 32

Hence, 32 days must be sampled to test the proposed hypothesis.

5 0
3 years ago
On Monday John had $500 . Over the weekend he went out to eat for $ 112and used his debit card for movie tickets that cost $28 .
Zepler [3.9K]
This question is a little ambiguously worded, however I assume the answer would simply be:
$500 - $112 - $28 = the amount he has left.
Hope this helped :))
8 0
3 years ago
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