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nadya68 [22]
3 years ago
7

I will mark as brilliant please help

Mathematics
1 answer:
vodomira [7]3 years ago
8 0
It’s C. x_< -2 Good luck
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5. A flock of geese flies 50 miles per hour. Write a linear
MrMuchimi

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

7 0
2 years ago
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Find the range of p in equation p(x+1) (x-3)=x-4p-2 has no real roots. ​
Tanya [424]

Answer:

\displaystyle p > \frac{1}{4}.

Step-by-step explanation:

Expand the left-hand side of this equation:

p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p.

Collect the terms, so that this quadratic equation is in the form a\, x^2 + b\, x+ c = 0:

p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2.

p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0.

In this equation:

  • a = p.
  • b = -(2\, p + 1).
  • c = p + 2.

Calculate the quadratic discriminant of this quadratic equation:

\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}.

A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when -4\, p + 1 < 0. Solve for the range of p:

\displaystyle p > \frac{1}{4}.

4 0
3 years ago
Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?
olasank [31]

Answer:

B

Step-by-step explanation:

\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}

6 0
2 years ago
Read 2 more answers
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