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tiny-mole [99]
4 years ago
14

The truth table represents statements p,q, and r. Which statement is true for rows A, C, and E?

Mathematics
2 answers:
Allisa [31]4 years ago
6 0

Answer:

A

Step-by-step explanation:

because the r equal on both p>q

sergey [27]4 years ago
5 0

Answer:

its B

Step-by-step explanation:

just took unit test edg 2020

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8 0
3 years ago
A cylindrical candle has a radius 1.5 in and a height of 4 in what is the volume of the candle in cubic inches in cubic centimet
Semenov [28]
The formula for the volume of a cylinder is:

V = \pi r^{2} h

r is the length of the radius and h is the height.  Plug in the given values:

V = \pi *(1.5)^{2}* 4 \\ V = \pi *2.25*4 \\ V = \pi *9 \\ V \approx 28.2743338823

To the nearest hundredth, the volume is 28.27 in³.
3 0
4 years ago
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) The function’s equation written in factored form is equal to

f(x)=2x(x-4)

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

f(x)=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

f(x)=a(x-2)^2-8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2

therefore

The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

f(x)=a(x-0)(x-4)

f(x)=ax(x-4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

-8=a(2)(2-4)\\-8=-4a\\a=2

therefore

The function’s equation written in factored form is equal to

f(x)=2x(x-4)

4 0
4 years ago
Cannon wants to put as much as he can into a retirement account as soon as he starts working. He deposits $25,000 at then end of
alina1380 [7]
At the beginning of the 6th year, he will have $50,855.64 .
3 0
4 years ago
Read 2 more answers
5.
Wewaii [24]

Answer:

y = 3x/2

Step-by-step explanation:

Let's solve for y first.

3y = -2x+6

y = -2x/3 + 2

We know that the slope is perpendicular to -2/3, meaning that we have to find the negative reciprocal of -2/3, which is 3/2.

y = 3x/2 + C.

We know the point (2, 3) and we plug that into our equation above.

3 = 3/2(2) + C.

3 = 3 + C

0 = C

C = 0.

We now plug in C for the equation, which gives us y = 3x/2.

8 0
3 years ago
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