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PolarNik [594]
3 years ago
10

Factor the expression. d^2 - 8d 16

Mathematics
1 answer:
seraphim [82]3 years ago
7 0
D^2 - 8d + 16 = d^2 - 4d - 4d + 16 = d(d - 4) - 4(d - 4) = (d - 4)(d - 4) = (d - 4)^2
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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

8 0
2 years ago
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They s
Julli [10]

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

<h3>How to write and solve equation?</h3>

let

  • June = x
  • July = x - 100
  • August = 2x
  • Total customers = 400

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
What is the slope of the line (2,3) (1,-2)?
jarptica [38.1K]

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

m=\frac{y_2-y_1}{x_2-x_1}

Given the points (2,3) and (1,-2), you can identify that:

y_2=-2\\y_1=3\\x_2=1\\x_1=2

Now, the final step is to substitute these values into the formula  m=\frac{y_2-y_1}{x_2-x_1}, getting that the slope of this line is:

 m=\frac{-2-3}{1-2}

m=\frac{-5}{-1}\\\\m=5

8 0
3 years ago
Read 2 more answers
A bag contains five green marbles three blue marbles and two red marbles if two consecutive marbles are drawn without replacemen
iren2701 [21]

Answer:

1 / 9

Step-by-step explanation:

P(Green) = 5 / 10

P(Blue) = 3 / 10

P(Red) = 2 / 10

These are independent events as one cannot occur at the same time as the other so can multiply their probabilities together

First choice green: 5 / 10

The denominator will decrease because we arent replacing the marbles after we take one out of the bag

Second choice red: 2 / 9

So

5 / 10 x 2 / 9

10 / 90 = 1 / 9

3 0
3 years ago
Read 2 more answers
Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1
Taya2010 [7]

Answer:

p=70+1.25x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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