All categories

3 years ago

Use synthetic substitution to find g(2) and g(-7) for the function g(x)=5x^4 - 3x^2 +6x-4

1 answer:

8 0

G(x) = 5x^4 - 3x^2 + 6x - 4

g(2) = 5(2^4) - 3(2^2) + 6(2) - 4
g(2) = 5(16) - 3(4) + 12 - 4
g(2) = 80 - 12 + 12 - 4
g(2) = 76

g(-7) = 5(-7^4) - 3(-7^2) + 6(-7) - 4
g(-7) = 5(2401) - 3(49) - 42 - 4
g(-7) = 12005 - 147 - 42 - 4
g(-7) = 12005 - 193
g(-7) = 11812

You might be interested in

Alcona has a radius of 5 inches and a height of 5 inches what is the volume up and come to the nearest 10 inch cube :-)

Nookie1986 [14]

Pi * 5 squared = 25 Pi
25 Pi * 5 = 125 Pi or 392.6990817
and I'm not sure how to round to inch cube sorry. :(

4 0

3 years ago

Please answer below thx.

slava [35]

Answer:

24 cm

Step-by-step explanation:

since the two triangles are similar,

10cm/20cm = 36cm _ h/h

8 0

3 years ago

9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

3 years ago

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

Wewaii [24]

X = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

x + y = 200
5x + 15y = 1950

you find the first variable in one of the equations, then subsitute the result into the other equation. your answer would be:

the mechanic who worked for 5 hours charged $105 per hour, the one who worked 15 hours charged $95 per hour.

hope this helps :)

3 0

3 years ago

In November, the Sport Shop sold

Neko [114]

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

5 0

3 years ago