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arlik [135]
2 years ago
9

Writing an equation of a line given its slope and y-intercept

Mathematics
2 answers:
JulsSmile [24]2 years ago
8 0

Answer:

y=-3x+4

Step-by-step explanation:

Slope-intercept form is y=mx+b

where m is the slope and b is the y-intercept.

m=-3 because -3 is the slope.

b=4 because 4 is the y-intercept.

Let's plug that into y=mx+b giving us y=-3x+4.

Allushta [10]2 years ago
7 0

Slope intercept form is y=mx+b \to y=-3x+4

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John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
Svet_ta [14]

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

8 0
3 years ago
Read 2 more answers
Rotate the vector (0,2) 270 degrees counterclockwise about the origin
SashulF [63]
<h3>Answer:  (2,0)</h3>

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

3 0
3 years ago
How many zeros are in the product of any nonzero whole number less than 10 and 500
worty [1.4K]

Answer:

If the non-zero whole number is even, then there are 3 zeroes

If the non-zero whole number is odd, then there are 2 zeroes

Step-by-step explanation:

* <em>Lets explain the information in the problem</em>

- Whole numbers are positive numbers, including zero, without

 any decimal or fractional

- Nonzero whole numbers are positive numbers, not including zero

- The non-zero whole numbers less then 10 are:

  1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

- The product of any nonzero whole number less than 10 and 500

  means multiply any of nonzero number above by 500

- The number of zeros in the product is equal to the sum of the

  number of zeros at the end of each of the factors.

# 1 × 500 = 5 × 100 ⇒ 2 zeros

# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros

# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros

# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros

# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes

# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros

# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes

# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros

# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros

- From all answers above:

# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are

  3 zeros in the product

# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are

  2 zeros in the product

8 0
2 years ago
A store sells 6 bananas for $4. Determine how much it would cost to buy 15 bananas
Archy [21]

Answer:

$10

Step-by-step explanation:

Since 6 cost four dollars 3 would cost 2 dollars multiply 3 to get 15 bananas and 2 to get $10

8 0
3 years ago
Read 2 more answers
An unfair coin with​ Pr[H] = 0.75 is flipped. If the flip results in a​ head, a student is selected at random from a class of si
Agata [3.3K]

Answer:

72.73% probability of selecting a​ girl, given the flip resulted in​heads

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Coin resulted in heads

Student is selected at random from a class of six boys and sixteen girls.​

Desired outcomes:

16 girls, so D = 16

Total outcomes:

16+6 = 22, that is, 22 students, so T = 22

Probability:

P = \frac{16}{22} = 0.7273

72.73% probability of selecting a​ girl, given the flip resulted in​heads

7 0
3 years ago
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