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NeTakaya
3 years ago
10

F(x) = 17 - 2x Find f(a + 7)

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

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Holly bought a sweater on sale for 38% off the original price. If she saved $67, what was the original price?
Leya [2.2K]

Answer:

If she saved 30% off the original price which is the same as saying she saved $18.00.  

 

That means $18.00 is 30% of the original price.  

 

Let x be original price of the sweater

 

.3x = 18

x= 18/.3

 

x= $60.00

Step-by-step explanation:

8 0
2 years ago
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
What is the volume of the shape below?
Yakvenalex [24]

Answer:

the answer is 147

Step-by-step explanation: Basicly with volume, you have to time all the sides so it would be 7x7x3, 7 is the heigh, 7 is the length and 3 is the width

6 0
2 years ago
Read 2 more answers
In a sale, there is 50% off all prices. A chair costs £17.50 in the sale. How much was it before the sale?
HACTEHA [7]
£17.50 is 50% of what number
Now the same in math:
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n= £ 35
7 0
3 years ago
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To show that polygon ABCDE is congruent to polygon FGHIJ, a must be used to make the two polygons coincide. A sequence of two tr
Sati [7]
Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation). 

A rotation translation must be used to make the two polygons coincide. 

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D 

Have a nice day
7 0
3 years ago
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