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ivolga24 [154]
3 years ago
12

Determine the slope and y-intercept from following the equation: y= 3/2x + 3

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

Slope is 3/2 and y-intercept is +3

Step-by-step explanation:

slope = m

y intercept = b

Slope is 3/2 and y-intercept is +3

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The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth. 25 ft 7 ft
Mashutka [201]
120.27 or rounded to the nearest tenth is 120.3
8 0
3 years ago
639.497 rounded to the nearest tenth
Sphinxa [80]
It is 639.5. this is how you round numbers to the nearest tenth: 

if the digit in the hundredths place is 5 or more you round up one, if it is lower than 5 it stays the same, pay no attention to the thousandths place....ex--> 0.497 
the 4 is the tenths place 
th 9 is the hundredths place 
the 7 is the thousandths place......since 9 is 5 or more you round the 4 up one number, so the 4 would be a 5. pay no attention to the 7. lets do another 

0.426 
the 4 stays as a 4 because 2 is a lower number than 5.
7 0
3 years ago
Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2). A) f(–2) = –52 B) f(–2) = –96 C) f(–2) = –108 D) f(–2) = –148
AURORKA [14]

Given function : f(x) = 4x^3 -12x^2 + 40x + 12.

We need to find the values of f(-2).

In order to find the value of f(-2), we need to plug x=-2 in the given fucntion f(x) = 4x^3 -12x^2 + 40x + 12.

Replacing x by -2, we get

f(-2) = 4(-2)^3 -12(-2)^2 + 40(-2) + 12

We get (-2)^2 = -2 *-2*-2=-8 and (-2)^2 = -2 * -2 = 4.

f(-2) = 4(-8) -12(4) +40(-2) +12 .

f(-2) = -32 -48 -80+12.

f(-2) = -160 +12.

f(-2) = -148.

Therefore, correct option would be option D. That is  f(-2)=-148.                



8 0
3 years ago
Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation
Vladimir79 [104]

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are 2^4 = 16 number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

- HHHH

- HHTH

- HTHH

- HTTH

b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

- TTTT

- TTTH

- TTHT

- HTTT

- HTTH

- THTT

6 0
3 years ago
Find the slope of a line perpendicular to 2x-y-16
Alekssandra [29.7K]

put the equation 2x - y = 16 in the form of y = mx + c

2x - y = 16

2x = 16 + y

y = 2x - 16

the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.

you can form this equation with that info

2x = -1

x = -1/2

OR

you can flip and change the sign (numerator) of 2/1

2/1

= -1/2

6 0
3 years ago
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