MATHEMATICS HIGH SCHOOL

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)

Answers

Answer 1
Answer:

Answer:

4(x-7)^2-(x-7)+3

Step-by-step explanation:

Given the functions:

s(x)=x-7 and t(x)=4x^2-x+3

We have to find the (t \circ s)(x)

(t \circ s)(x) = t(s(x))

Substitute the function s(x) we have;

⇒t(s(x)) = t(x-7)

Replace x with x-7 in t(x) we have;

⇒t(x-7) = 4(x-7)^2-(x-7)+3

⇒(t \circ s)(x) = 4(x-7)^2-(x-7)+3

Therefore, the expression which is equivalent to (t \circ s)(x) is:

4(x-7)^2-(x-7)+3
Answer 2
Answer: (t o s)(x) = t(s(x)) 
s(x) = x - 7 
t(x - 7) = 4(x-7)^2 - (x - 7) + 3

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A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
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If 25 is 40% of a value, what is that value?

I will just
give brainliest who ever answers first​

Answers

Answer: What is your question?

Step-by-step explanation:

Answer: An art-supply store sells a pad of watercolor paper after a 78% markup. If the store sells the paper.

Step-by-step explanation:

i know math

A case holds 24 items. If 11 are removed, how many items are left?

Answers

If you would like to know how many items are left in the case, you can calculate this using the following steps:

24 items - 11 items = 24 - 11 = 13 items are left

The correct result would be 13 items.
There are 24 items in a case.
11 items are removed.

To find out how many items are left, we need to do subtraction.

24 - 11 = 13

13 items are left in the case.

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the end of one year, he earned $92 in interest. How much money was invested in each account?A) $1,500 at 2%; $2,300 at 4%
B) $1,400 at 2%; $2,200 at 4%
C) $1,000 at 2%; $1,800 at 4%

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Let the principal amount be 'x'.

First rate of interest = 2%

Second rate of interest = 4%

Number of years = 1

Amount of interest he earned = $92

According to question,

(x* 2)/(100)+((x+800)* 4)/(100)=92\n\n(2)/(100)(x+2(x+800))=92\n\nx+2x+1600=(92* 100)/(2)\n\n3x+1600=4600\n\n3x=4600-1600\n\n3x=3000\n\nx=(3000)/(x)\n\nx=\$1000

So, First investment of $1000 at 2% and Second investment of $1000+$800=$1800 at 4%.

Hence, Option 'C' is correct.
x the first account  interest = x/100*2 = 2x/100 
(x + 800)/100 * 4 =( 4x + 3200)/100 
2x/100 + (4x + 3200)/100 = 92
2x + 4x + 3200 = 9200 
6x = 6000
x = 1000
C is the answer

I need help GRAPHING!

how do I graph: 12.50x + 6.25y ≥ 1500? Thank you!

Answers

You need to write it in slope intercept form first and then when u graph it you have to shade cuz there is equal sign
Use a graphing calculator Site.or Go by graphing calculator.

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?A. Steve is 5∕6 as fast as Paul
B. Steve is 5∕6 slower than Paul
C. Steve is 1∕2 as fast as Paul
D. Steve is 1∕2 slower than Paul



a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.

How many more people preferred WWCN with 41% than WANR with 22%?
A. 164
B. 76
C. 236
D. 68

Answers

So, Steve's time in a ratio to Paul's time:


(Steven's time)/(Pauls's time) = (10)/(12) = (5)/(6) . So Steven's time is (5)/(6) times shorter, that is
"Steven is (5)/(6) times faster than Paul (I find the phrasing "as fast as" problematic though)

In the second question 41% of 400, which is 4*41=164 people chose WWCN and 22% chose WANR, that is 22%*400=4*22=88.

And the difference is 76 people! ( 164-88=76)B)

Answer:

Q-1 The correct option is A) Steve is 5∕6 as fast as Paul

Q-2 The correct option is 76.

Step-by-step explanation:

Consider the provided information.

Q-1

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds.

Since, the distance for both are same,

\frac{\text{Steve's time}}{\text{Paul's time}}=(10)/(12)=(5)/(6)\n\text{Steve's time}=(5)/(6)\text{ of Paul's time}}

Hence, Steve's time is 5⁄6 of the time taken by Paul.

Therefore, the correct option is A) Steve is 5∕6 as fast as Paul

Q-2 a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.

WWCN got  41% and WANR got 22%

For WWCN

41% of 400 is: (41)/(100) * 400=164

That means 164 people preferred WWCN.

For WANR

22% of 400 is: (22)/(100) * 400=88

That means 88 people preferred WANR.

We need to find how many more people preferred WWCN

For this subtract both the values: 164-88=76

Thus, 76 more people preferred WWCN

Hence, the correct option is 76.

Tanisha is graphing the function f(x) = 25(3/5)^x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?(2, 9)

(2, –10)

(2, 14 2/5)

(2, 5)

Answers

The answer is (2,9).

This is because we can increment X by 1, giving us X=2. We can then do:
f(2)=25•(3/5)^2
Which equals:
f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:
f(2)=25•(9/25)=225/25
which fully simplified gives us
f(2)=9/1=9

Answer:

(2,9)

Step-by-step explanation:

Took the test
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