All categories

2 years ago

HELPP ME!!! What is f(3)?

Mathematics

2 answers:

wlad13 [49]2 years ago

7 0

Answer:

$\huge\boxed{\sf f(3)=20}$

Step-by-step explanation:

Given function is:

$f(x) =3x^2-4x+5$

Put x = 3

$f(3) =3(3)^2-4(3)+5\\\\f(3)=3(9)-12+5\\\\f(3)=27-12+5\\\\f(3)=15+5\\\\f(3)=20\\\\\rule[225]{225}{2}$

mina [271]2 years ago

6 0

Answer:

3(3)^2- 4(3) + 5 = 20

Step-by-step explanation:

f(x) just means function so you plug in the value of x in the equation and solve.

You might be interested in

A baseball is thrown straight upwards from the ground and undergoes a free fall motion as it rises towards its highest point. Wh

Karo-lina-s [1.5K]

Answer: The answer should be that the velocity and acceleration decreases ! :)

Step-by-step explanation: With velocity, the pure definitions are "quickness of motion," and "rapidity of movement." So with this, when you think about it, the speed/velocity of the baseball decreases the higher it goes because of gravity slowly getting stronger the higher up it goes. So the answer would be that the velocity and the acceleration decreases. (hope I helped :') )

8 0

2 years ago

A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,

Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

= 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than = 10% × 5000

= 0.10 × 5000

= 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x² + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}$

$x=\frac{-150\pm \sqrt{20500} }{-2}$

$x=75-5\sqrt{205}$ or $x=75+5\sqrt{205}$

x = 3.41089 ≈ 3.41 feet or x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0

2 years ago

.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo

r-ruslan [8.4K]

Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you ﬁnd their mean height $\bar X$ = 80 cm with standard deviation s = 10.8 cm.

Let $\mu$ = average height of hobbit.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 66 cm {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, $H_A$ : $\mu$ > 66 cm {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample mean height = 80 cm

s = sample standard deviation = 10.8 cm

n = sample of hobbits = 7

So, test statistics = $\frac{80-66}{\frac{10.8}{\sqrt{7}}}$ ~ $t_6$

= 3.429

The value of t test statistics is 3.429.

Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0

3 years ago

Find the simple interest for : $668,5%, 2 years

Mkey [24]

Answer: 2 years

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The radius of a circle is 5 inches. What is the circle's diameter?

Anastasy [175]