7.5 =
Decimal to fractions
Answers
Answer: 15/2 or 7 1/2
Step-by-step explanation:
Related Questions
a buyer purchased 8 blue shirts and X red shirts. The ratio of blue shirts to red shirts purchased was 2:5. How many red shirts did the buyer purchase?
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861 ÷3 show work for this problem please
Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?
a. (9 + 2i) + (1 – i)
b. (9 + 4i) + (–1 – 7i)
c. (7 + 2i) + (1 – i)
d. (7 + 4i) + (–1 – 7i)
Answers
Answer:B
Step-by-step explanation:
x/x-2+x-1/x+1=-1
Answers
The values of x are -4and 1 .
Given,
x/x-2 + x-1/x+1 = -1
To get the solution,
x≠2 and x≠1.
Now,
x/(x-2)+(x-1)(x+1) = -1
Solving the numerator and denominator,
==> (x²+x-(x²-x-2x+2))/(x²-x-2)=-1
==>4x-2=-x²+x+2
==>x²+3x-4=0
==>(x+4)(x-1)=0
Sol ={-4,1} which are different of the excluded values.
Thus the values of x are -4 and 1 .
Know more about quadratic equation,
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We suppose x≠2 and x≠1.
x/(x-2)+(x-1)(x+1)=-1
==> (x²+x-(x²-x-2x+2))/(x²-x-2)=-1
==>4x-2=-x²+x+2
==>x²+3x-4=0
==>(x+4)(x-1)=0
Sol ={-4,1} which are different of the excluded values.
Answers
dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4
//To find the maximum height just substitute "t" in
h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft
Answer:
0.75 s; 16 ft
Step-by-step explanation:
Answers
Answer:
The middle term of the equation is (x - 4)(x - 3) is -7x .
Step-by-step explanation:
As given the expression in the question be as follow .
= (x - 4)(x - 3)
First open the bracket and simplify the above terms .
= x × x - x × 3 - 4 × x -4 × -3
= x² -3x -4x + 12
= x² -7x + 12
Therefore the middle term of the equation is (x - 4)(x - 3) is -7x .
x^2 - 4x - 3x + 12
= x^2 -7x +12
middle term= -7x
Submission for this is tomorrow, please help I can't figure this out.
Answers
Answer: k = -15
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Explanation:
Let p(x) = 4x^2+4x+k be the polynomial function.
Also, let r and s be the two roots of the polynomial p(x).
By definition of what it means to be a root, we know that
p(r) = 0
p(s) = 0
So this means p(r) = p(s).
Because one root exceeds another by 4, we can say s = r+4.
So the equation p(r) = p(s) updates to p(r) = p(r+4).
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Let's compute p(r) and p(r+4)
So,
p(x) = 4x^2+4x+k
p(r) = 4r^2+4r+k
and
p(x) = 4x^2+4x+k
p(r+4) = 4(r+4)^2+4(r+4)+k
p(r+4) = 4(r^2+8r+16)+4(r+4)+k
p(r+4) = 4r^2+32r+64+4r+16+k
p(r+4) = 4r^2+36r+80+k
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Now equate those results
p(r) = p(r+4)
4r^2+4r+k = 4r^2+36r+80+k
4r+k = 36r+80+k ...... the 4r^2 terms cancel
4r = 36r+80 ..... the k terms cancel as well
4r-36r = 80
-32r = 80
r = 80/(-32)
r = (16*5)/(-16*2)
r = -5/2 = -2.5 is one of the roots
s = r+4
s = -2.5+4
s = 1.5 = 3/2 is the other root.
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With this in mind, we can use either r or s to find the value of k
p(x) = 4x^2 + 4x + k
p(r) = 4r^2 + 4r + k
p(r) = 4(-2.5)^2 + 4(-2.5) + k
p(r) = 15+k
0 = 15+k
k+15 = 0
k = -15
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To confirm this answer, you can use the quadratic formula to solve 4x^2+4x-15 = 0. You should get the two roots r = -5/2 = -2.5 and s = 3/2 = 1.5
Then note how s-r = 4 which is the same as saying s = r+4.
Answers
Answer:
The correct result would be n = 1.
Step-by-step explanation:
4/5n - 3/5 = 1/5n /*5n
4 - 3/5 * 5n = 1
4 - 3n = 1
4 - 1 = 3n
3 = 3n
n = 1