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mel-nik [20]
3 years ago
10

If 9 (x) = – 5x2 – 4x + 19 find f (–3)

Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:

- 14

Step-by-step explanation:

f(x) =  - 5 {x}^{2}  - 4x + 19 \\ plug \: x =  - 3 \\ f( - 3) =  - 5 {( - 3)}^{2}  - 4( - 3) + 19 \\  f( - 3) =  - 5  \times 9   + 12 + 19 \\ f( - 3) =  - 45 + 31 \\ f( - 3) =  -14

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A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.
meriva

<u>Answer:</u>

42%

<u>Step-by-step explanation:</u>

We know that the number of times red side is faced up = 21; and

the total number of times colored chip is thrown = 50

Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown)   * 100%

Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%

Therefore, the relative frequency of the chip landing with the red side facing up is 42%.

6 0
3 years ago
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777dan777 [17]

Answer:

one solution, (-1,0)

Step-by-step explanation:

4 0
2 years ago
In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population stand
yKpoI14uk [10]

Answer: =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean \overline{x}= 29.7 degrees

Population standard deviation \sigma=2.7 degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}

=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}

=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}

=29.7\pm ( 1.2816)(0.42167)

=29.7\pm 0.5404

=(29.7-0.5404,\ 29.7+0.5404)

=(29.1596,\ 30.2404)

Hence, 80% confidence interval for the temperatures in the freezer =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

7 0
3 years ago
Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her
konstantin123 [22]
Her total pay that week was $660
5 0
3 years ago
A 4 metre ladder is placed against a vertical wall.
Black_prince [1.1K]

Answer:

Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.

Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

y^2-y^2+0.5y+2.25–4.0625=0

0.5y- 1.8125=0

0.5y=1.8125

y=1.8125/0.5= 3.625

Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

<em>hope it helps...</em>

<em>correct me if I'm wrong...</em>

4 0
3 years ago
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