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creativ13 [48]
3 years ago
12

Graph. f(x)=|2x+4|+1 use the ray tool to graph the absolute value function

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

We are given the function, f(x) = |2x+4| + 1.

Now, as we can see that this function is obtained after applying following transformation to the function g(x) = |x|.

1. Dilation i.e. shrinking the graph horizontally by 2 units

2. Translation i.e. shifting the figure in 4 units to the left and 1 unit up.

Hence, after plotting the function f(x) = |2x+4| + 1, we get the following graph.


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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
4 years ago
Trent told his friends it would take him 90 minutes to mow the lawn. It only took him
marta [7]

Answer:

The answer is 16%

Step-by-step explanation:

use the percent error formula.

\frac{|E-T|}{|T|} *100

in this problem,

e= 75

t=90

substitute and solve.

\frac{|75-90|}{|90|} *100\\\frac{|-15|}{|90|}*100\\\\ .16667*100\\

16%

we are dealing with percents so rounding to nearest whole number will suffice.

hope this helps!

7 0
4 years ago
Factor out the greatest common factor from the terms of the polynomial 2x3 − 5x2 + 25
almond37 [142]

Answer:

2x³ -5(x²-5)

Step-by-step explanation:

2x3 − 5x2 + 25

=2x³ -5x²+25

=2x³ -5(x²-5)

3 0
3 years ago
The lengths of the sides of a triangle are in the extended ratio 6 ​: 7 ​: 9. The perimeter of the triangle is 44 cm. What are t
Dimas [21]

Add 6+7+9, which gives 22.

Divide 44 by 22, which is 2.

Multiply the ratio by 2:

(6 : 7 : 9) * 2 = 12 : 14 : 18

The lengths of the sides are 12cm, 14cm, 18cm.

4 0
3 years ago
cho went on a bike ride at 3:15 p.m after 45 minutes she comes to a stop. what time does she stop riding at?
rjkz [21]

Answer:

4:00

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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