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3 years ago

12

What is the number under the car?

1 answer:

Feliz [49]3 years ago

6 0

Answer:

87

Step-by-step explanation:

We are looking at the numbers up side down

the number on the right is 86 and going to the left is 87, 88 ,89 ,90 ,91

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

3. Write the numbers given below in scientific notation.<br>(a) 3000000000 ms<br><br>

k0ka [10]

Step-by-step explanation:

3×10^10 is the scientific notation of 30000000000

8 0

3 years ago

USLUIT il<br> Find x.<br> 45°<br> 30°

IceJOKER [234]

Answer:

111°

Step-by-step explanation:

All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

Ignore the line cutting between 45° and the 30° and consider it as one triangle
Add them to get 75°
Now you have two known angles 75° and 36°
To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.

7 0

3 years ago

From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is

Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean $\overline x$ = 56

The formula for calculating the standard error can be expressed as:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

$S.E = \dfrac{14}{\sqrt{49}}$

$S.E = \dfrac{14}{7}$

S.E = 2

Therefore, the standard error of the mean = 2

4 0

3 years ago

Someone plssss helpppp

Ksju [112]

Is this math? or English

4 0

3 years ago