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jarptica [38.1K]
3 years ago
9

What are the outputs and inputs of y=-3x+5

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

-by-step explanation:Step

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Calculate 8.93 x 104 times 4.2 x 106 by using scientific notation. Write answer in scientific notation. (round to the ten thousa
Andreas93 [3]
I think the answer is 4.13466144•10^5
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3 years ago
Combine like terms to simplify.<br> 4y + 6x - 2y
olga nikolaevna [1]

Answer: 6x + 2y

Step-by-step explanation: 4y-2y are both alike terms, so you subtract the two, and then add 6x to it

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HELP ME PLEASE!
shusha [124]

Answer:

Part A) The probability is closer to 0, because is less than 50%

Part B) The probability is closer to 1, because is greater than 50%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}

Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?

In this problem we have

x------> is the area of the black circle

y------> is the total area of the square target

<em>Find the area of black circle</em>

r=3/2=1.5\ units    

x=(3.14)(1.5)^{2} =7.065\ units^{2}

<em>Find the total area of the square target</em>

y=9^{2}=81\ units^{2}

Find the probability

P=\frac{7.065}{81}=0.0872

Convert to percentage

0.0872*100=8.72\%

The probability is closer to 0, because is less than 50%

Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?

In this problem we have

x------> is the area of the white portion of the target

y------> is the total area of the square target

<em>Find the area of the white portion</em>

The area is equal to the area of the square minus the area of the circle

x=81-7.065=73.935\ units^{2}

Find the probability

P=\frac{73.935}{81}=0.9128

Convert to percentage

0.9128*100=91.28\%

The probability is closer to 1, because is greater than 50%

4 0
3 years ago
Given lines p and q are parallel, m&lt;2 - (14x - 12), m&lt;6 - (5y + 23), and m&lt;8 - (8x + 27), solve for the values of x and
nexus9112 [7]

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

8 0
2 years ago
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