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3 years ago

What two numbers multiply to 10 and add to =7?

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

Answer:

iii

Step-by-step explanation:

iiii

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If discriminant (b^2 -4ac>0) how many real solutions

MaRussiya [10]

Answer:

If Discriminant, $b^{2} -4ac >0$

Then it has Two Real Solutions.

Step-by-step explanation:

To Find:

If discriminant (b^2 -4ac>0) how many real solutions

Solution:

Consider a Quadratic Equation in General Form as

$ax^{2} +bx+c=0$

then,

$b^{2} -4ac$ is called as Discriminant.

So,

If Discriminant, $b^{2} -4ac >0$

Then it has Two Real Solutions.

If Discriminant, $b^{2} -4ac < 0$

Then it has Two Imaginary Solutions.

If Discriminant, $b^{2} -4ac=0$

Then it has Two Equal and Real Solutions.

4 0

3 years ago

Two joggers run 8 miles north and then 5 miles west. What is the shortest

Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

$b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles$

The shortest distance to the starting point is 9.4 miles

4 0

3 years ago

Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

mezya [45]

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

3 0

3 years ago

Let p: A number is greater than 25.

maria [59]

We are given that:
p is greater than 25, this means that p>25
p ∈ ]25,∞[ ...........> interval I

q is less than 35, this means that q<35
q ∈ ]-∞,35[ ...........> interval II

The given condition p ∧ q is true means that (p and q) is true. In other word, their intersection is true.
Therefore, the final result would be the intersection between the two intervals (interval I and interval II)

Bases on the above, the final answer would be:
]-∞,35[ ∧ ]25,∞[ which is ]25,35[

8 0

3 years ago

Read 2 more answers

Which is the inverse of the function f(x) = 4x2

Sholpan [36]

Answer:

$\sqrt{\frac{x}{4}}$ and $-\sqrt{\frac{x}{4}}$