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yKpoI14uk [10]
2 years ago
13

Use the distributive property to write an equivalent expression 4(6f+3g-1)

Mathematics
2 answers:
slavikrds [6]2 years ago
4 0

Answer:

24f+12g-4

Step-by-step explanation:

hope this helps!

Ann [662]2 years ago
4 0

Answer:

The answer would be 24f+12g-4

Step-by-step explanation:

With distrubitive property, the value outside of the parenthesis multiplies each value within the parenthesis, so the equation turns moreso into this:

4*6f + 4*3g + 4*-1

When you multiple these out, you get 24f+12g-4

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A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y
stiv31 [10]

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

4 0
2 years ago
The population in thousands of people of a city is approximated by the function P(t) = 1200(2)0.1038twhere t is the number of ye
asambeis [7]

The population of the group in 2019 is 2,134,000 people

Let P represent the population in thousands of people in the year t after 2011

Given the equation:

P=1200(2)^{0.1038t}

a) The population of the group in 2019, that is t = 8(2019 - 2011):

P=1200(2)^{0.1038*8}=2134

b) The population of the group in 2029, that is t = 18(2029 - 2011):

P=1200(2)^{0.1038*18}=4382

The population of the group in 2019 is 2,134,000 people

Find out more on equation at: brainly.com/question/2972832

7 0
2 years ago
The parabola y=ax^2+bx-10 passes through the points (4.5,8) and (-2.5, 15). Determine the values of a and b
yuradex [85]
y=ax^2+bx-10 \\ \\
(4.5,8) \\
8=a \times 4.5^2 + b \times 4.5-10 \\
8=20.25a+4.5b-10 \ \ \ |+10 \\
18=20.25a+4.5b \\ \\
(-2.5,15) \\
15=a \times (-2.5)^2+b \times (-2.5)-10 \\
15=6.25a-2.5b-10 \ \ \ |+10 \\
25=6.25a-2.5b

The system of equations:
18=20.25a+4.5b \ \ \ |\times 5 \\
25=6.25a-2.5b \ \ \ |\times 9 \\ \\
90=101.25a+22.5b \\
\underline{225=56.25a-22.5b} \\
90+225=101.25a+56.25a \\
315=157.5a \ \ \ |\div 157.5 \\
a=2 \\ \\
25=6.25a-2.5b \\
25=6.25 \times 2-2.5b \\
25=12.5 -2.5b \ \ \ |-12.5 \\
12.5=-2.5b \ \ \ |\div (-2.5) \\
b=-5 \\ \\
\boxed{a=2} \\ \boxed{b=-5} \\ \boxed{y=2x^2-5x-10}
6 0
3 years ago
Mary's current record for her swimming race is 120 seconds. If she can reduce her time by 5%, how many seconds less will that be
rewona [7]
5% of 120 is 6

120 - 6 = 114

Her time would be reduced to 114 seconds.

Hope this helps!
7 0
3 years ago
Read 2 more answers
PLS HELP WORTH 10 POINR
Rasek [7]

Answer: What is the answer choices

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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