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rosijanka [135]
3 years ago
9

F(x)=1.01(2)x rate of change from x=12 to x=15

Mathematics
1 answer:
laiz [17]3 years ago
5 0
6.06
because 1.01 times 2 times 12 is 24.24
and 1.01 times 2 times 15 is 30
30- 24.24 is 6.06
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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

y=-\frac{3}{4}x+4

or

3x+4y=16

8 0
3 years ago
Fill in the blank to make the fractions equivalent 2/3 = Blank/15
kotegsom [21]
Answer: 2/3 = 10/15
8 0
3 years ago
Please help me. Please....
Nadusha1986 [10]

Answer:

20

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

8 0
3 years ago
bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wedne
nignag [31]

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

6 0
3 years ago
How many distinguishable permutation are possible with all the letters of the word sequence​
Marizza181 [45]

Step-by-step explanation:

hey, hope this helps/ is right :))

8 0
3 years ago
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