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Ipatiy [6.2K]
3 years ago
8

The graph of F(x) shown below, has the same shape as the graph of G(x)=x^ 2 , but it is shifted down 3 units and to the left 2 u

nits. What is its equation?
Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

y = (x+2)^2 - 3

Step-by-step explanation:

Because you are shifting the graph down, the y-coordinate is being changed, so you subtract 3 from the original equation.  Because you are shifting to the left, you have to add to the x-value.  (It's kind of backwards from what you'd think.)

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there are 54 girls in a bowling league. there are 2 girls for every boy in the league. how many boys are in the league?
stellarik [79]
54÷2 since there 2 girls for each boy so 2 girls for 1 boy and there 54 girls

54÷2=27

so there 27 boys in the league
6 0
3 years ago
Read 2 more answers
Using the provided measures determine the measure of angle K.
forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

5 0
2 years ago
In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o
Pavel [41]
<h2>Answer:</h2>

There are 1757600 possibilities.

<h2>Step-by-step explanation:</h2>

In a certain state, fishing licenses are in the form of LLL NN

L stands for a letter of the alphabet (a to z)

N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.

Hence, the total possible outcomes will be :

26\times26\times26\times10\times10=1757600

Therefore the answer is 1757600 possibilities.

5 0
3 years ago
Read 2 more answers
A tutor gives John 5 assignments and asks him to complete 5. How many possible combinations? Pls answer ASAP
Fittoniya [83]

Answer:

There is 1 possible combination

Step-by-step explanation:

There are 5 assignments and they must be completed. 5. We want to find the number of combinations, then we use the formula of combinations.

nCr =\frac{n!}{r!(n-r)!}

Where n is the total number of objects and you choose r from them

Then

n= 5\\\\r = 5

5C5 =\frac{5!}{5!(5-5)!}

5C5 =\frac{5!}{5!(0)!}

5C5 =\frac{5!}{5!}

5C5 =1

7 0
3 years ago
Q7 Find the missing angle x
Kryger [21]

Answer:

Step-by-step explanation:

Thales theorem tells us that B is a 90

and therefore from W to o (center) is 45°

we know the total of the arc VoW is 98

180= 8x +1  + 45 +98

36 = 8x

4.5 = x

x = 4.5

7 0
3 years ago
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