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3 years ago

What is the slope of the line between

Mathematics

2 answers:

MrRa [10]3 years ago

8 0

Slope formula: $\frac{y2-y1}{x2-x1}$
Apply
$\frac{-14-0}{2-0} = - \frac{14}{2} = -7 = slope$

Oxana [17]3 years ago

5 0

Slope = (change in y)/(change in x)
.. = (-14 -0)/(2 -0)
.. = -14/2
slope = -7

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Can someone please tell me the color of the pattern please

sashaice [31]

The next one would be that teal color (circle) and then the square would be purple

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3 years ago

A system of equations is shown below:

ivolga24 [154]

To solve this problem you must apply the procceddure shown below:

1. You have the following system of equations:
<span>
x+y = 3
2x–y = 6

2. Then, you must clear the variable y from the first equation and susbtitute it into the second equation, as below:

x+y=3
y=3-x

2x-y=6
2x-(3-x)=6
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3. Therefore, the value of x is:

x=9/3
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2 years ago

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$

Therefore the reasonable domain is $0\leq x\leq 52$ and option 4 is correct.

6 0

2 years ago

What is (3 x 20) + 9 and what is (4 x 100) + 20?

madreJ [45]

Answer:

(3 x 20) + 9 = 69

4 x 100) + 20 = 420

7 0

3 years ago

Read 2 more answers

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$

The probability that at most 12 ties are too tight is P=1.

5 0

3 years ago