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Harlamova29_29 [7]
2 years ago
12

Complete the equation so that it has solutions of –5 and 7.

Mathematics
2 answers:
almond37 [142]2 years ago
7 0

Answer: x^2-2x-35=0

Step-by-step explanation: so we know the solutions are -5 and 7 and we have x^2+___+___=0. So the roots are ( x- (-5)) (x-7). -( -5+7) = -2 and (-5)(7)= -35. So now we have x^2+-2+-35=0. So the answer is x^2-2x-35=0

melisa1 [442]2 years ago
6 0

Answer:

Equation: 10 - 15 = -5. 14 - 7 = 7.

Step-by-step explanation:

1. For the first part you would take an additional five away from the ten so that way you would go into the negatives.

2. For the second part all you have to do is subtract seven from fourteen, and you'll get seven.

Hope this answer helped you!

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An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each
marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

Height = 4 inches

Volume of each pyramid = 1/3*3*4

= 4 cube inches.

To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

= 576/4

= 144

Therefore, the artist can make 144 pyramids.

Thank you.

6 0
3 years ago
Read 2 more answers
You are saving for a spring break cruise for the end of march of the next year thag costs $600. You start at $50 in August. At t
Doss [256]
March is 8 months away from August and the target amount is $600.
August = $50
September = $50 + (0.2*50)=$60
October = $60 + (0.2*60)=$72
November=$72+(0.2*72)=$86.4
December=$86.4 + (0.2*$86.4)=$103.68
January=$103.68+(0.2*103.68)= $124.416
February=$124.416+(0.2*124.416)=$149.3
March=$149.3 +(0.2*149.4)=$179.2

Total amount = $824.6

Yes, she will have money for the trip
7 0
3 years ago
I need to solve cy−7=5d+3y for y, any help?
iVinArrow [24]
Given cy - 7 = 5d + 3y, we solve for y as follows:

cy - 3y = 5d + 7

y(c - 3) = 5d + 7

y = (5d + 7) / (c - 3)
8 0
3 years ago
Read 2 more answers
The function C(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its i
salantis [7]

Answer:

  1. h ≥ 0
  2. C = 0; concentration eventually decays to nothing
  3. (0, 0) is the only intercept in the domain. It means the concentration in the bloodstream is zero at the time the drug is injected.
  4. 1.95 hours

Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

  h^3 +8 = 0

  h = ∛(-8)

  h = -2 . . . . the equation of the vertical asymptote

This is not a concern for a medical professional because it is outside the domain of the function.

__

2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

__

3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

__

4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

  C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

5 0
3 years ago
Aisha just received a paycheck from her new job she spends some of it buying music online and saves the rest in a bank account h
postnew [5]
Set y equal to 25 because this is the amount of money Aisha wants to save. This gives you 25 = 50-1.99x. Now we can solve for x, which is the variable. First, subtract 50 from both sides so that you can get the variable, x, by itself. After subtracting 50 from both sides, you are left with -25 = -1.99x . If it is easier for you, you can put the numbers on opposite sides so it reads -1.99x = -25 . Now divide both sides by -1.99 so that x is by itself. So -1.99x ÷-1.99 = 1x which is equal to just x and -25÷-1.99 = about 12.56, which is a decimal. (Remember that when you divide a negative number by a negative number, it becomes a positive number) Finally we have x = 12.56 (or 1x = 12.56) with 12.56 being equal to the number of songs Aisha can buy if she also wants to save money in her bank account. However, nobody can buy only .56 or part of a song. Round down to the nearest whole number, which is 12. This is how many songs she can buy and it makes sense because it is 12 entire songs, not 12 and just the chorus of a song. If you want to check, you can plug in 12 for x and she shouod have a little more than $25 in her bank account. So Aisha can buy 12 songs is she wants to save $25. I hope this helped :)
3 0
3 years ago
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