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pshichka [43]
3 years ago
14

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2​

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

2( {x + 7})^{2}  + 5

Step-by-step explanation:

Our Standard form for each of these transformations is

a( {x + h)}^{2}  + k

Insert each value into the appropriate.

K is for vertical movement

h is for horizontal

a is for stretching/compression

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Can an acute and obtuse angle be supplementary? Draw a figure showing supplementary angles? ​
uysha [10]
Yes, I will list acute first (<90) and obtuse second (>90) and they need to add to 180

10 and 170
20 and 160
30 and 150
40 and 140
50 and 130
60 and 120
70 and 110
80 and 100 and so on
8 0
3 years ago
Solve for x 0°&lt;x&lt;360<br>3cos2x +sinx=1​
BartSMP [9]

Step-by-step explanation:

3cos2x +sinx=1

3(1-2sin²x)+sinx=1

3-6sin²x+sinx=1

sinx(-6sinx+1)=1

either

sinx=1

sinx=sin(90)

:.x=90

or

-6sinx+1=1

-6sinx=1-1

sinx=0/-6

sinx=sin0,sin180

:.x=0,180and90

8 0
3 years ago
Find the sum. 64 + (-15)
V125BC [204]

Answer:

49

Step-by-step explanation:

64- 15 = 49

Hope that this helps you and have a great day

8 0
3 years ago
(2x-1+7x²)+(3+7x -3x²)
ANTONII [103]

Answer:

4x^{2} +9x+2

Step-by-step explanation:

You combine the x^{2} terms, the x terms and the constants (the terms without variable/letters)

5 0
2 years ago
A bag contains 10 red marbles and 15 green marbles.If yuki selects a marble from the bag without looking, what is the probabilit
Grace [21]

Incomplete Question (See Complete Question Below)

A bag contains 10 red marbles and 15 green marbles.If Yuki selects a marble from the bag without looking, what is the probability that she will pull a red marble?

A-1/5

B-2/5

C-1/2

Answer:

The probability of pulling a red marble is \frac{2}{5}

Step-by-step explanation:

Given

Red Marble = 10

Green Marble = 15

Required

The probability of picking a red marble

First, the total number of marble has to be calculated

Total = Red Marble + Green Marble

Total = 10 marbles + 15 marbles

Total = 25 marbles

The probability of an event is often calculated by dividing the number of required outcomes by the number of possible outcomes.

In this case, the probability of pulling a red marble is calculated as follows:

P(R) = \frac{n(R)}{T}

Where P(R) represents probability of pulling a red marble

n(R) represents number of red marbles

n(R) = 10

T represents total number of marbles

T = 25

By substitution,

P(R) = \frac{n(R)}{T} becomes

P(R) = \frac{10}{25}

Reduce fraction to lowest term by dividing the numerator and denominator by 5

P(R) = \frac{2}{5}

Hence, the probability of pulling a red marble is \frac{2}{5}

7 0
3 years ago
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