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nadezda [96]
3 years ago
8

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

Mathematics
1 answer:
Alika [10]3 years ago
3 0
X^2  2x + 1 = (x + 1)^2

x is replaced by x + 1
the translation is 1 unit to the left
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Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe
timofeeve [1]

A,B,C,D i.e. all statements are true!

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

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

15x + 10y\geq 300 where, x is number of necklaces & y is number of bangles.

A.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : 15(12) + 10(12)  = 300 which follows inequality . True statement!

B.

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : 15(6) + 10(20) = 290 which follows inequality . True statement!

C.

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : 15(12) + 10(6) = 240, which follows inequality . True statement!

D.

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : 15(18) + 10(2)=290, which follows inequality . True statement!

7 0
3 years ago
Read 2 more answers
Evaluate 6^-2<br><br> a) -1/36<br> b)4<br> c) 1/36<br> d)-12
inessss [21]

{6}^{ - 2}  \\  \frac{1}{ {6}^{2} }  \\  \frac{1}{36}

The answer is C

4 0
2 years ago
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The radius of a basketball is about 3.6 times greater than the radius of a tennis ball. How many times greater is the volume of
Strike441 [17]

The basketball is 46.656 greater than the tennis ball

That is the answer

8 0
3 years ago
PLs help
Pavel [41]

A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will  help us find EG.We can use cos  as cos is ratio of adjacent and hypotenuse.

cos 40=\frac{10}{Hypotenuse EG.}

B) Cos  40 =0.766.

Substituting tan40 value we have:

0.766=\frac{10}{EG}

EG=13.05.

C)Sum of angles in  triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) Tan  40=\frac{EF}{10}

EF=8.39

E) Area of triangle EFG= \frac{1}{2}x base x height.

A rea of the triangle = \frac{1}{2}x8.39x13.05

Area= 54.75 square units.





5 0
3 years ago
You buy a new laptop for $300$300. The sales tax is 6%6%. What is the total cost for the laptop including the sales tax?
cricket20 [7]

Answer:

Cost Including tax would be $318

Step-by-step explanation:

Given:

Price of laptop = $300

Sales tax = 6% of price

To Find:

Cost with tax = ?

Solution:

Cost with tax = Price of laptop + Value of tax

We have to find the value of tax

Value of tax = 6% of Price

putting the value

Value of tax = 6 % * $300

                     =\frac{6}{100}*300

                     = $18

Now Cost with tax = Price of laptop + Value of tax

Putting in the value

Cost with tax = 300 + 18

                      = $318

So Cost Including tax would be $318


6 0
3 years ago
Read 2 more answers
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