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4 years ago

What is X squared +3x-70

Mathematics

1 answer:

Aleksandr-060686 [28]4 years ago

8 0

Answer:

x = 7, x = -10

Step-by-step explanation:

$x^2+3x-70 = 0$

Use the quadratic formula.

$x = \frac{-3 + \sqrt{3^2-4(1)(-70)} }{2(1)} \\x = \frac{-3 - \sqrt{3^2-4(1)(-70)} }{2(1)} \\$

Solve.

x = 7, x = -10

You can also factor if you want - that is a faster method.

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You toss two 6-sided dice one right after the other. What is the probability of rolling a 3, then rolling a different odd number

jarptica [38.1K]

1/18.
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P = p1 x p2 = 1/6 × 2/6 = 1/18
.
Prob of getting 3 is 1/6, and prob of getting different odd number ie 1 or 5 is 2/6.

5 0

3 years ago

Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?

My name is Ann [436]

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

4 0

3 years ago

Read 2 more answers

A farmstand sells bags containing 3 2/3 lb of apples. Elena bought 25 2/3 lb of apples. How many bags of apples did Elena buy?

Tcecarenko [31]

She would've bought 7 bags of apples, I believe.

3 0

3 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

3 years ago

If the actual distance was 280 miles. and it measured 5.6 inches on the map, what is the scale?

VMariaS [17]

The scale would be 50 :)

7 0

3 years ago