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3 years ago

Determine the x-intercept points of the function h(x) = (x - 5)(x-6)(x + 4).

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Answer:

Step-by-step explanation:

The x-intercepts are the points where the x value is zero. In this case, to find the "zeros" of the function, set each factor to zero. x-5 -> x=5. x-6 -> x=6. x+4 -> x=-4.

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An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

UNO [17]

Answer:

$\frac{225}{16} cm/s$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=25cm^3/s$

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid= $\frac{1}{3}lwh=\frac{1}{3}l^2h$

$\frac{l}{h}=\frac{4}{12}=\frac{1}{3}$

$l=\frac{1}{3}h$

Substitute the value

$V=\frac{1}{27}h^3$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}$

Substitute the values

$25=\frac{1}{9}(4^2)\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s$

5 0

3 years ago

Which number is less than 130.29?

sergeinik [125]

The correct answer is B. 130,099.

Hope this helps!

8 0

3 years ago

Read 2 more answers

5. What is the value of x in the triangle at the right?<br> A. 23<br> B. 32 <br> C. 125<br> D. 148

sergiy2304 [10]

Answer:

Step-by-step explanation:

did they give a pic buy ik its b tho

4 0

3 years ago

John found the diagram above in a section about animal tracks in his hiking manual. The pattern of the porcupine tracks shown ca

worty [1.4K]

The answer is C) glide and reflection because if it were graphed, it would be reflected a line equal to x and slid, or glided upward. Hope this helps! :D

3 0

3 years ago

Read 2 more answers

How do I solve this problem. I have to find the missing side lengths and lease my sender as radicals in simplest form

nlexa [21]

Answer:

x = y = 2√2

Step-by-step explanation:

Find the diagram attached

To get the unknown side x and y, we need to use the SOH CAH TOA identity

Opposite side = x

Adjacent = y

Hypotenuse = 4

Sin theta = opposite/hypotenuse

sin 45 = x/4

x = 4 sin 45

x = 4 * 1/√2

x = 4 * 1/√2 * √2/√2

x = 4 * √2/√4

x = 4 * √2/2

x = 2√2

Similarly;

cos theta = adjacent/hypotenuse

cos 45 = y/4

y = 4cos45

y = 4 * 1/√2

y = 4 * 1/√2 * √2/√2

y = 4 * √2/√4

y = 4 * √2/2

y = 2√2

4 0

3 years ago