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2 years ago

Determine maximum and minimum value of the function y=4x-x^2 +3

Mathematics

1 answer:

Tom [10]2 years ago

3 0

Answer:

$y = - {x}^{2} + 4x + 3 \\ x = - \frac{b}{2a} \\ x = - \frac{4}{2( - 1)} \\ x = 2 \\ y = f(2) = 4(2) - {(2)}^{2} + 3 \\ y = 7 \\ \therefore \: maximum \: at \binom{2}{7}$

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Calculate the distance between the points G= -2.2) and C = (5, -1) in the coordinate plane.

frozen [14]

Answer:

Step-by-step explanation:

4 0

2 years ago

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

4 0

3 years ago

How many trolley cars are needed to hold all the passengers? Write as a mixed number

Oksanka [162]

Answer:

$46\frac{1}{8}$

Step-by-step explanation:

Formulate

$1845\div40$

Calculate

$\frac{1845}{40}$

Cross out the common factor

$\frac{369}{8}$

Write $\frac{369}{8}$ as a mixed fraction

$46\frac{1}{8}$

I hope this helps you

:)

7 0

2 years ago

Jenna was 4 4/6 feet tall last year. This year she is 5 2/6 feet tall. How many feet did Jenna grow in the past year

oee [108]

You want to subtract the heights. 5 2/6-4 4/6=5 1/3-4 2/3=2/3.

5 0

3 years ago

Read 2 more answers

3) What is 3x +15y=-16 in slope intercept form?

stellarik [79]

Answer:

y=-1/5x-16/15

Step-by-step explanation:

slope intercept form y=mx+b

3x+15y=-16

15y=-3x-16 divide both sides by 15

y=-3/15x-16/15 simplify -3/15 to -1/5

y=-1/5x-16/15

8 0

3 years ago