If f(x) = 2x + 3 and g(x) = x2-7, find (f+g)(x)
Answers
g(x) = x²-7
(f+g)(x) = f(x) + g(x) = 2x + 3 + x² - 7 = x² + 2x - 4
(f+g)(x) = x² + 2x - 4
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To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame
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Use the rules of multiplication by powers of 10 to calculate 20 times 100.
Write a compound inequality that represents each situation. Graph your solution.all real numbers that are greater than –6 but less than 6 A) –6 ≤ x < 6 B) –6 ≤ x ≤ 6 C) –6 < x < 6 D) –6 < x ≤ 6
Answers
Answer:
(2x + 20)(2x + 30) = 1200 Aplus
Step-by-step explanation:
only the width is changed so you divide it by the length which is 30
1200 divided 30 is 40 so the answer is 40 (another way is to just multiply the width by 2 since it's the only thing changing)
hope this helps :)
Urgent
thankssss
Answers
Q2 Answer: Experimental = 60%, difference = 10%
Step-by-step explanation:
The prime numbers between 1 and 8 are: 2, 3, 5, and 7.
Theoretical:
Experimental:
Experimental - Theoretical
= 60% - 50%
= 10%
Problem 1
To find the sample mean, we simply add up all the 40 items and then divide by 40
I will add up the values row by row, and then add up the subtotals to get the grand total
row1: 39+31+38+40+29 = 177
row2: 32+33+39+35+32 = 171
row3: 32+27+30+31+27 = 147
row4: 30+29+34+36+25 = 154
row5: 30+32+38+35+40 = 175
row6: 29+32+31+26+26 = 144
row7: 32+26+30+40+32 = 160
row8: 39+37+25+29+34 = 164
Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292
Divide this over 40: 1292/40 = 32.2
So the sample mean is therefore 32.2
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To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.
Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05
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In summary, 32.2 will go in the first box while 0.05 will go in the second box.
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Problem 2
There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability
This is the list of values given to us (I broke it up to help make the numbers more readable)
3, 4, 5, 2, 7
1, 3, 7, 2, 6
2, 1, 7, 3, 6
1, 8, 3, 5, 6
Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%
Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)
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In summary, 60 will go in the first box while 10 will go in the second box.
r equals start fraction cap a minus p over p t end fraction
r equals start fraction cap a minus one over t end fraction
r = A − p − pt
Answers
minus p both sides
A-p=prt
divide both sides by pt
dunno what a fraction cap is
I would guess it is the 2nd one
Answer:
The answer is B, r = "A - p / pt."
Step-by-step explanation:
I just took the test and got a 100% with this answer. I hope this helps!
Answers
y=-3
thats what i got:)
Answers
Answer:
16
Step-by-step explanation:
Since this is a multiplication of the square of (y+4) by (y-4) the value of Y will be eliminated in the product, if you want to assure this you just need to do the multiplication, and to do so we just need to multiply feach factor in the binomial by the polynomial:
So now we know that the value for the Y is 16.
(y - 4)(y² + 4y + 16)
y³ + 4y² + 16y - 4y² -16y - 64
y³ + 4y² + ay - 4y² - ay - 64
a = 16