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mojhsa [17]
3 years ago
5

Which graph is defined by the function given below? y=(x-3)(x+4)

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer:

B. Graph B

Step-by-step explanation:

The values x = 3 and y = -4 correspond to a y value of zero. The only graph that includes the points (3, 0) and (-4, 0) is option B.

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2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
Savatey [412]

Answer: \frac{1}{6} or 1:6

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

Evaluating, you get:

\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

4 0
4 years ago
How do I find the y value for point I such that DI and EI form a 3:5 ratio.
liraira [26]
3:5 ratio mean there are 8 "parts" (3 + 5 = 8)

The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction. 
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.

Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8

So the point I is (0, 25/8)


6 0
4 years ago
Read 2 more answers
Solve the x. 1/2(x-2)=5
9966 [12]
1/2(x-2)=5
x-2=10
x=12
3 0
3 years ago
Read 2 more answers
HELP PLEASE I NEED TO GET TO AT LEAST AN 80 WERE AT 56!!!
mote1985 [20]

Answer:probably x’s all of them

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify:<br><br><br> A. <br> B. <br> C. <br> D.
GalinKa [24]

Answer:

D. \frac{79}{6}

Step-by-step explanation:

\bigg(  \frac{7}{2} -  \frac{1}{3}  \bigg).( - 2)^{2}  +  \frac{1}{2}  \\  \\  =   \bigg(  \frac{7 \times 3 - 1 \times 2}{2 \times 3}   \bigg).4  +  \frac{1}{2}  \\  \\  = \bigg(  \frac{21 - 2}{6}   \bigg).4  +  \frac{1}{2}  \\  \\  =  \frac{19}{6}    \times 4  +  \frac{1}{2}  \\  \\  = \frac{19}{3}    \times 2  +  \frac{1}{2}  \\  \\  = \frac{38}{3}   +  \frac{1}{2}  \\  \\  = \frac{38 \times 2 + 1 \times 3}{3 \times 2}   \\  \\  = \frac{76 + 3}{6}   \\  \\  = \frac{79}{6}

5 0
3 years ago
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