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Nikolay [14]
3 years ago
15

Somebody please explain this I have a major exam soon and I really need to know how to solve problems like this​

Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

y = 2x - 3

Step-by-step explanation:

Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.

y2= 5

y1= 1

x2 = 4

x1 = 2

Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.

Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)

The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.

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Agroup of friends were working on a student film with a budget of $500, which they
mina [271]

Answer:

89%

Step-by-step explanation:

500-55=445

445/500=0.89

0.89x100=89

4 0
2 years ago
Read 2 more answers
--Multiplying Polynomials--Use the given formulas to express the volume of each object as a polynomial.
sasho [114]

32.

V = L*w*h

Where:

V= Volume

L= Length = x+5

w= width = x-2

h= height = 6

Replacing with the values given:

V= (x+5) * (x-2) * 6

V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6

V= [ x^2 - 2x + 5x - 10 ] * 6

V= [ x^2 + 3x - 10] *6

V= (x^2*6) + (3x*6)+ ( - 10 * 6)

V= 6x^2 + 18x - 60

6 0
1 year ago
Find the domain of the Bessel function of order 0 defined by [infinity]J0(x) = Σ (−1)^nx^2n/ 2^2n(n!)^2 n = 0
Snowcat [4.5K]

Answer:

Following are the given series for all x:

Step-by-step explanation:

Given equation:

\bold{J_0(x)=\sum_{n=0}^{\infty}\frac{((-1)^{n}(x^{2n}))}{(2^{2n})(n!)^2}}\\

Let   the value a so, the value of a_n  and the value of a_(n+1)is:

\to  a_n=\frac{(-1)^2n x^{2n}}{2^{2n}(n!)^2}

\to a_{(n+1)}=\frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2}

To calculates its series we divide the above value:

\left | \frac{a_(n+1)}{a_n}\right |= \frac{\frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2}}{\frac{(-1)^2n x^{2n}}{2^{2n}(n!)^2}}\\\\

           = \left | \frac{(-1)^{n+1} x^{2(n+1)}}{2^{2(n+1)}((n+1))!^2} \cdot \frac {2^{2n}(n!)^2}{(-1)^2n x^{2n}} \right |

           = \left | \frac{ x^{2n+2}}{2^{2n+2}(n+1)!^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |

           = \left | \frac{ x^{2n+2}}{2^{2n+2}(n+1)^2 (n!)^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |\\\\= \left | \frac{x^{2n}\cdot x^2}{2^{2n} \cdot 2^2(n+1)^2 (n!)^2} \cdot \frac {2^{2n}(n!)^2}{x^{2n}} \right |\\\\

           = \frac{x^2}{2^2(n+1)^2}\longrightarrow 0   for all x

The final value of the converges series for all x.

8 0
4 years ago
A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard deviation of 19 grams. If a fruit
cluponka [151]

Answer:

413.126

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 405

Standard deviation (s) = 19

Weight of fruit will be greater than how many grams (x) if picked 17% of the time:

P(Z > x) = 0.17 ;

The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)

Zscore = (x - m) / s

0.954 = (x - 405) / 19

0.954 * 19 = x - 405

18.126 = x - 405

x = 18.126 + 405

x = 423.126

Weight will be greater than 423.126

8 0
3 years ago
Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured
Nataly_w [17]

Answer:

B(4) > A(4)

t = 6

Step-by-step explanation:

Given

City\ A \to Purple

City\ B \to Blue

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

A(4)= 1.8

B(4) = 2.6

By comparison:

B(4) > A(4) because 2.6 > 1.8

Solving (b): When is A(t) = B(t)

From the readings of the graph

A(t) = B(t) when t = 6

i.e.

A(t) = B(t) = 3\ million

4 0
3 years ago
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