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const2013 [10]
3 years ago
9

What transformations change the graph of f(x) to the graph of g(x)?

Mathematics
2 answers:
Luba_88 [7]3 years ago
4 0

Answer:

The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated up 5 units.

erica [24]3 years ago
3 0
Shift 5 in along the positive g(x) axis due to the + 5

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-a + 4a - 9 = 8a + 6
wel

Answer:

-3=a

Step-by-step explanation:

-a+4a-9=8a+6

3a-9=8a+6

3a-9-6=8a+6-6

3a-15=8a

3a-3a-15=8a-3a

-15=5a

-15/5=5a/5

-3=a

3 0
3 years ago
One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so
arsen [322]

Answer:

Step-by-step explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

                                        = \dfrac{1}{3}x

Remaining \ money =x -  \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x

Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\

Total money - money spent on dinner - money spent on dessert = 60

x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240

Money that Puvi had at the start of the night = £ 240

8 0
2 years ago
Identify how the graph is shifted from that of the parent function.
Semenov [28]

Answer:

4 units left

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the values of x, y, and z. The diagram is not to scale.
Kruka [31]

we know that

The sum of the internal angles in the triangle must be 180 degrees

see the attached figure with letters to better understand the problem

Step 1

<u>Find the measure of the angle x</u>

In the triangle ABC

63\°+36\°+x\°=180\°

solve for x

99\°+x\°=180\°

x\°=180\°-99\°

x=81\°

therefore

<u>the answer Part a)  is</u>

the measure of angle x is 81\°

Step 2

<u>Find the measure of the angle z</u>

we know that

x+z=180\° --------> by supplementary angles

substitute the value of x

81\°+z=180\°

z=180\°-81\°

z=99\°

therefore

<u>the answer Part b)  is</u>

the measure of angle z is 99\°

Step 3

<u>Find the measure of the angle y</u>

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

13\°+99\°+y\°=180\°

112\°+y\°=180\°

y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

5 0
3 years ago
Read 2 more answers
(01.01 MC)Which number line shows the solution to 4 + (−4)?
Rasek [7]

The solution to the statement 4 + (-4) is correctly given by the third number line.

  • The solution given by plot 1 is : (-4) + (-4) as both arrows points 4 units to the left.

  • The solution given by plot 2 is : ( 4 + 4) as both arrows points 4 units to the right.

  • The solution given by plot 3 is (4) + (-4) as one arrow points 4 units to the left and the other points 4 units to the right.

  • The solution given by the plot 4 is (-4 + 8) as one arrow points 4 units to the left and the other points 8 units to the right.

Therefore, the Number line which shows the solution 4 + (-4) is the third number line.

Learn more :brainly.com/question/16191404

6 0
3 years ago
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